diff --git "a/data/dm_maths/full_data/10861_11255.jsonl" "b/data/dm_maths/full_data/10861_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10861_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the nearest to -1? (a) 0.054 (b) 40 (c) 200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*45\/(-6). Factor 6*y + 31 + n*y**2 - 31 - 3*y**2.\nAnswer: 2*y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -36 + 34 + -4*(-5)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/106618 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*n + 3*n + 76*n - 5587408. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h*x - 3337*h + 50*x with respect to x.\nAnswer: -6*h + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(sqrt(95)\/sqrt(5) - sqrt(19)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13)\/(k\/k**(-5)*k)*(k**(-1))**(-16))\/(((k**(1\/4)\/k)\/k)**(-6))**(-13\/4) assuming k is positive.\nAnswer: k**(4501\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 1\/8*a**4 + 2\/3*a**3 + 0 + 1\/30*a**5 - 1\/120*a**6 + 3*a**2 + 0*a. Give q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {m: 2, q: 1, j: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 3*x + 2. Let f be d(-3). Let u = -10 + 8. Let t = u + 2. Solve t*l = -l - f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49640157 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234959950?\nAnswer: 2, 5, 23, 173, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75276 a multiple of 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 8*z - 7. Let d be l(-6). Suppose 2*w + 21 = -4*r + 7, 0 = 2*r + d*w - 13. What is the units digit of r*4\/30*-10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.284 + -1714511\nAnswer: -1714510.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1514 and 9772 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10286*o + 8736 = 20620*o - 10502*o for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 41. Solve -3*p = 15, -3*n - 5*p = -a + 51 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -37. Solve n*v + 1 = 5*f + 2*v, -2*f = -2*v - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, 1, -7, -3 in ascending order.\nAnswer: -166, -7, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -0.4, 0.3, 1\/4, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(-2*sqrt(324) - sqrt(4)).\nAnswer: -sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002201 (base 3) to base 7.\nAnswer: -2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26456 divided by 4?\nAnswer: 6614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/((n\/(n*n*n**(-25)*n*n*n*n)*n)\/n)*n)**(-13) assuming n is positive.\nAnswer: n**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - v**2 + 18*v - 13. Let y be g(-8). Suppose -84 = 5*l + y. Calculate the common denominator of -13\/5 and (-12*(-10)\/l)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let x(n) = -n + 1. Determine u(d) + x(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -1\/6, -0.3, 0.564, -0.1.\nAnswer: -0.3, -1\/6, -0.1, -0.02, 0.564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 227 = -20. Suppose s - 60 = -k. Suppose -14 + 58 = 4*l. Calculate the remainder when k is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*c - 74 - 304. Are -65\/12 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967882 is divided by 421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -64*m**4 + 52256*m**3 + 12643484*m**2 + 18876936*m + 7067808 = 0.\nAnswer: -194, -3\/4, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (42 + -35 - (-1 - (-9 + -1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/19 - 384*u**3\/19 - 2366*u**2\/19 - 1980*u\/19 = 0. What is u?\nAnswer: -5, -1, 0, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2966 - 1327 - 4632)*(3*p - 4*p + 0*p) to i + n*p and give n.\nAnswer: 8925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g**3*g))\/(g\/g**(-2\/3)*g))\/(g**(-2\/7)\/((g**(-2\/17)*g)\/g)))**(3\/19) assuming g is positive.\nAnswer: g**(-1606\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1127 + -0.0527. Which is the smallest value? (a) -3 (b) m (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**2 + 293*b + 1937. Determine l(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 2\/7 (c) 0.02 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 + 4*k**3 - k**3)*(-2*k + 2*k + 2*k) - 6*k**4 + 13*k**3 + 5*k**4 - k**4.\nAnswer: -6*k**4 + 13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(81)\/(sqrt(9)*2) - sqrt(9)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 18, -2, 0.\nAnswer: -2, 0, 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:06 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 19d726?\nAnswer: 19d729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*o = 36*o. Suppose 0 = r - 4*i - 23, o*r + 3*i + 24 = 3*r. Let a(j) be the first derivative of -j**2\/2 + 4*j + 1. Give a(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8151.\nAnswer: 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(171) - (0 + sqrt(171) + sqrt(171))) + 2)*3 + -5 + (sqrt(171) - (sqrt(171) + 1 + 4) - sqrt(171)))*-5)**2.\nAnswer: 2400*sqrt(19) + 68800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 233\/6. Suppose -2*d - d = -15. What is the nearest to -0.2 in d, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 208\/12 + (-5)\/15. Suppose -4*c + 7 + r = 0. What is the greatest common divisor of 30 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4991219*l**3*s**2 - 2*l**3 - 3*l**2*s**3 + 565774*l**2*s - 4*s - 7 wrt s?\nAnswer: -9982438*l**3 - 18*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 964.42 micrograms to kilograms.\nAnswer: 0.00000096442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -434, 3, 78, 7, -4, 4 in descending order.\nAnswer: 78, 7, 4, 3, -4, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 64, 104, 144?\n\"Answer: 40*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4536 and 252728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 3231135.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 6*t - 536140. Let k = t + 144205\/3. Let q = -661 - k. What is the common denominator of q and 133\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -77*n - 2190. Determine l(-30).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 4) + 10 + -2. Suppose z - 3 = 4*s - 11, 5*z = -2*s + o. Suppose 0 = -4*b + s*y + 340, 6*y = -3*b + 2*y + 266. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1677 - 15*x**3 - 1677.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2 - 20 - 3*i**5 + 0*i**3 + 2 + i**3 wrt i.\nAnswer: -180*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = -4*f + 4*j + 19312 - 19297, -2*f = j - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 + 137 = -0*n + 3*n - 5*x + 81, 15*x - 64 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.037582um in centimeters?\nAnswer: 0.0006037582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-196)\/(-2)*47*21\/(-6). Round w to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 63 = -5*d. Calculate the remainder when d is divided by (-2 - (-12)\/3)\/((-4)\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -18. Let j be (-1)\/(0 - 4\/16). Solve -v = 0, -2 + t = j*q - 4*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 5. Let u(i) = i. Let n(y) = -s(y) + 6*u(y). Let x be n(5). Let g = 16 - x. Put g, -5, 2 in decreasing order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17)*-1*2 - (sqrt(153) + (sqrt(153) - sqrt(153)*-1))\/sqrt(9))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -41, -2\/15, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1153943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/573 (b) 2\/5 (c) 894\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times -6?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2 - 1986*k - 4483. What is s(286)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 411 - 406. Suppose 0 = 2*q - 2*u - 362, t*q - 724 = q - u. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557524663?\nAnswer: 557524663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + -4 + 0 - 11547\/1926. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from mfjwzdf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12972698 to the nearest integer?\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -27487?\nAnswer: 5\/27487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let j be o(-4). Suppose 5*t + 0*t = -5*s + 180, 5*s + 2*t = 192. Suppose 38*x - 8 = s*x. Sort -5, x, j in increasing order.\nAnswer: -5, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14726482202 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83165191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 460*l**2 + 5*l - 4. Let s be x(1). Suppose -f + s = 434. What is the remainder when 52 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 8. Let t be m(-1). Let b(s) = s**3 + 3*s - 8. What is the tens digit of b(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from lhkhcqhhhhkhlvq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250354 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((449 - 435) + 70\/(-3))*(-3)\/(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 26 + 4. Let o be (-28)\/3 + n\/(18\/4). Let p = o + 13. Calculate the greatest common factor of p and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 17*l**3 + 2*l**2 + 2*l - 3. Let n(x) = x**3 - x**2. Let r(w) = b(w) + n(w). Suppose -4*f + 9*d = 5*d, -3*d = 3*f - 12. Is r(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 55 - 67. Let b be 1\/(2 + u) - 9\/4. Is -4 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-27)*0)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2711*m**4*o + m**4 - 92564*m*o wrt m.\nAnswer: 32532*m**2*o + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/30 and 95\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-6)\/((-12)\/(-10)). Sort 4, l, -10 in ascending order.\nAnswer: -10, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - s**3 + 3*s**3)*(-2*s + 2*s + s) + (0 - 3 + 2)*(-3*s**4 + 6*s**4 - 5*s**4).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238bb (base 12) in base 7?\nAnswer: 256541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3336.1 rounded to the nearest 10?\nAnswer: -3340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*l - 3*w - 76, -4*l = 3*w - 52. Let p = 1263 + -1218. What is the remainder when p is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 132 = 44 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1568)\/336*(0 + (-18)\/14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**(-43)*(q\/((q\/(q\/(q\/(q*q*q**0))*q*q)*q)\/q*q))**17)\/((q**(1\/2)\/q*q)**(4\/11)*(q*q\/(q*q*q\/q**1))**(-2\/15)) assuming q is positive.\nAnswer: q**(1849\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 658022747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 105300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 32\/7*r**3 + 0*r - 8\/7*r**2 - 2*r**4.\nAnswer: -2*r**2*(r - 2)*(7*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:27 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbababaaa. What is prob of sequence bbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 6:42 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m. Let a(z) be the second derivative of -z**6\/360 + z**3\/6 + z. Let p(u) be the second derivative of a(u). Determine p(f(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-35))\/((-18)\/1176*-7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z - 20. Let p be (-213)\/142 + (-62)\/(-36) + (-25)\/(-9). What is the highest common divisor of z and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 + 5 = 0. Solve -12 - m = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -889424 take away 2.0905385?\nAnswer: -889426.0905385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.03 (b) 0.1 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 22*x + 21120. Round x to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/36 + 251\/180. Calculate the common denominator of j and (61\/(-6))\/((-28)\/21).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w. Let f(n) = 12*n - 11. Give f(z(x)).\nAnswer: -24*x - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 715, 714, 713, 712, 711?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -240304, 2, -2, -24 in descending order.\nAnswer: 2, -2, -24, -240304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -25783797 divided by 2\nAnswer: -25783797\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/98 and 9\/448?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -0.39272086878.\nAnswer: -5.39272086878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**3 - 1490*y**2 + 106400*y + 693120 = 0.\nAnswer: -6, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10765 + 2255 = -620*c for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 2:10 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((44\/((-19800)\/45))\/(2\/4))\/((-2)\/(-790))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922 - 401 - 3*t**2 + 5*t**2.\nAnswer: 2*t**2 - 1323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 2*n - 50. What is the tens digit of s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 657 and 360?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 0, -2243, -4, -3, 10 in decreasing order.\nAnswer: 10, 3, 0, -1, -3, -4, -2243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = 2*m + 2*w - 38, 105 = -2*m - 5*w. Let y = 115 + m. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1380*t - 31. Is d(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 72 = -98. Suppose x = 5*n + 26, -2*x + 3*n = -4*x + 104. Let z = j + x. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/3 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by -4.\nAnswer: -159\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/4)*w*w**28*(w**(2\/21))**(-5\/8) assuming w is positive.\nAnswer: w**(613\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54683333 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)\/((-6)\/24). Let -o*q**3 - 53 - 15*q + q**3 - 12*q**2 + 47 = 0. Calculate q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oom when three letters picked without replacement from omooommmooo.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 a when three letters picked without replacement from aaapllxllla?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 86. Let d = -0.08 + 4.08. Which is the closest to x? (a) d (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)*i**(-2\/51) assuming i is positive.\nAnswer: i**(-308\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xotxmqmeoxmomxoxex?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 8*t**2 - 2*t - 12. Let v be m(-8). Suppose -3*s - 14 = -v*s. Suppose -5*x + 39 - s = 0. What is the smallest common multiple of 2 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3582, 24, 5, 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92, -160, -240, -338, -460, -612, -800, -1030?\n\"Answer: -l**3 - 61*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -1. Calculate the lowest common multiple of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10277 = -3*g, -10253 = -3*g - 0*i + 4*i. What are the prime factors of g?\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.940858044 rounded to four dps?\nAnswer: -2.9409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 5*p - 16, -28*j + 2*p - 12 = -24*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 23.4. Let i = n + -7.3. Let w = -17\/12 + 5\/3. Which is the closest to 1? (a) w (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(1 - 4 + 6)*(-22 - 31*n + 22) to the form x*n + u and give x.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -235*u + 3. Let p(a) = 940*a - 13. Determine 9*m(i) + 2*p(i).\nAnswer: -235*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 2*m + 2*m. Suppose 0 = 4*o + 3*d - m, o + d - 6 = -0*d. Solve -3*g = b - 5, -g - o = -2*g + 3*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51447713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -23\/2314, 1\/3.\nAnswer: -66, -23\/2314, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 900710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 11) to base 3.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1511676182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r. Let g = 61 + -59. Let j(q) be the first derivative of 0*q**g - 2 + 2\/3*q**3 + 0*q. What is o(j(v))?\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19433521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((3*sqrt(432) - 2*(0 + sqrt(3)))*3 - (-1 + -6*sqrt(27)\/sqrt(9) + 2)))**2.\nAnswer: -1944*sqrt(3) + 314937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + sqrt(275) + -2 + -5 + (sqrt(132) - -2*sqrt(132)*1)\/sqrt(12))**2*-2.\nAnswer: -3816 + 364*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 2*w**2 - 2*w + 4. Let b be m(2). Suppose 2*y + 16 = 4*i, b = y - 5*i + 15 + 5. Is y <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11051, -1, -349 in ascending order.\nAnswer: -11051, -349, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**30)**40 assuming r is positive.\nAnswer: r**1200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3*i - 4)*(7 - i - 7) in the form b*i + g*i**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-13 - -14) - (-22 + 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + (-3 - 3\/(-3)). Let t(f) = -f**3 + 6*f**2 + 2*f + 2. Let c be t(s). Find the second derivative of 0*q**3 + 0*q**3 + 4*q - 22*q + c*q**4 wrt q.\nAnswer: 168*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*v - 85*v + 18 = 0. What is the lowest common multiple of v and ((-6)\/(-5))\/((-8)\/(-140))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238608033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -46\/46673?\nAnswer: -46\/46673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*k = 8*k - 24, 0 = -5*q + 2*k + 25. Solve -1 = q*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3170 + 6514. Is 1\/(4*4\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3202 (base 4) to base 3\nAnswer: -22101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -424.9443 - -425. Let b = -1.9443 - c. Let r be (7\/(-2) - -1)*2. What is the nearest to -3\/5 in r, b, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318 - 446. Let z = 173 + g. Calculate the remainder when 132 is divided by z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6812?\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/120 + t**5\/20 + t**4\/12 + t**3\/2 + 3*t**2 + 2*t. Let d be a(-2). Solve -2*x + 11 = -s, -d*s - 4*x + 2 = 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -1538, -3489, -6204, -9671?\nAnswer: -13878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267708147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 3:40 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 7*c = 6*c + 7, 0 = -5*u + 4*c + 629 - 640 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 10*i + 13. Let t be s(-9). Suppose -48 = t*k - 12*k. Solve 2*f = -4*p - 4 - k, -9 = 5*p - f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noxj when four letters picked without replacement from jojjnnjhxx?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1122032 divided by 16.\nAnswer: 70127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 5 - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6560 = 7*m. Suppose -m = 11*x - 7*x. What is x rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i**5\/11 - 926*i**4\/11 - 6686*i**3\/11 + 1838*i**2\/11 + 6716*i\/11 - 912\/11 = 0 for i.\nAnswer: -19, -12, -1, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -263 (base 14) to base 2\nAnswer: -111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0608711 rounded to three dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1950 and 7 - (-649)\/(-99) - (770\/(-36) + 1).\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96601.3ml?\nAnswer: 96.6013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 20*p**2 - 20*p - 16. Let o be h(-19). Let a be (2\/3)\/((-2)\/(-6)). Solve -m + o = -a*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4720*w + 4702*w. Solve l + 7 = 4*a, 2*a = w*a + l + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.866 + 0.166. Which is the third smallest value? (a) -0.2 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r. Let m(w) = -2*w**2 - 8*w + 1. Determine m(v) + 2*z(v).\nAnswer: -2*v**2 - 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273446 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17 + 15)*(0 - 1\/4). Put 75, v, -0.4 in ascending order.\nAnswer: -0.4, v, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 12) + (6 - 4 - -6) + -21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.781375 millennia?\nAnswer: 781.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2933365 is divided by 1486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5966773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 953877.2um in nanometers?\nAnswer: 953877200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (0 + sqrt(432))*-1).\nAnswer: 3 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y - 9 = 3*i, -4*y - 4*i - 12 = 0. Let l be (-1 - (7 - y))\/(-2). Suppose 3*c + 3*k - 3 = 0, -l = -2*c - 5*k + 4. Do -2\/5 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53497 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/180 + 19*g**4\/36 + 217*g**3\/18 + 840*g**2. Factor m(d).\nAnswer: (d + 7)*(d + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58060718?\nAnswer: 2, 29030359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -157925 divided by -46?\nAnswer: 157925\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2648*t + 2664*t - 48 = 0. Which is the closest to -86\/5? (a) -6 (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 - v - 2. Suppose 2*x - 26 = -4*f, 2*f + 3*x - x - 18 = 0. Let j(k) = 12*k**2 + 2*k + 6. What is f*j(d) + 11*l(d)?\nAnswer: 4*d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/23096 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111991867 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 39 = -0*w. Let r = 17 + w. Solve -i + 0 - 12 = r*k, -2*k = i + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8628\/19 - 454. Let v(r) = -r - 1. Let x be v(-1). Suppose -2*q - 4 + x = 4*t, 3*t = 2*q + 11. What is the closest to 2 in q, -2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146935 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 15) in base 3?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:49 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 11079.13\nAnswer: 13294.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148*x*y**3 + 6*x*y**2 + 2*y**2 wrt y.\nAnswer: -888*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153 - 119983286.\nAnswer: -119983133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 9, -18, -81, -192, -363, -606, -933?\n\"Answer: -2*p**3 + 11*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 7*t = -11*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**4\/12 - 7*f**3\/6 - f**2 + f. Let l be s(7). Let t = l - -2. Solve t = -d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 9*l**2 - 9*l - 6. Let n be h(-8). Let k = 3 - 1. Find the second derivative of 5*d + k*d**2 - n*d - d wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1079978 (b) -1 (c) -1\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/5 + 598*j**3\/5 - 321911*j**2\/5 - 122982288*j\/5 + 42294390336\/5.\nAnswer: (j - 328)**2*(j + 627)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3535310 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9202902*m**3 - 45912438.\nAnswer: -27608706*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150062 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 300623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913 = 13*w - 63*w - 33*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 17*g - 96. Calculate the remainder when 105 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + 3 + -5 + -11 - 2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.03542 - -0.03542. Which is the third smallest value? (a) x (b) 21 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(243) - (4*sqrt(243) + 5 + sqrt(243))))**2 + ((1*sqrt(231))\/sqrt(7))\/(sqrt(704) + (3*sqrt(704) - sqrt(704))).\nAnswer: 34561*sqrt(3)\/24 + 15652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -7\/12*t**4 - 36*t - 2\/3*t**3 + 0 + 0*t**2 + 1\/30*t**6 - 1\/10*t**5. What is c in z(c) = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851483536 to the power of 1\/2, to the nearest integer?\nAnswer: 53399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6\/13, -85, 5?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**8\/420 + b**4\/12 + 2*b**3\/3 + 4*b**2. Let h(m) be the first derivative of z(m). Find the first derivative of h(v) wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3994*i - 72 = -3990*i, 3*b - 3*i - 57 = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-620)\/150 + 4 + 455\/600.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 10:09 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001595 to 6 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - -2) - (71 + -74).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7757 + 15?\nAnswer: -7742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -179\/3. Which is the closest to t? (a) -4\/3 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*18*(-3)\/48*320\/(-80)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178375 - -229568606\/1287. Find the common denominator of -131\/18 and v.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 27. Let p(k) be the first derivative of -11*k**4\/4 - k**2 - k + 1. Calculate p(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 1613 - 577 = 0. Let z = t + -93. Calculate the highest common divisor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4) - 189\/14. Let o = -11 - a. Suppose -f = -i + 6, 0*f - 13 = -2*i + o*f. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 2. Let p(z) = 9*z**2 - 9. Let b be (-12)\/8 + (-21)\/(-6). Let k(w) = -1 + 1 + 4 - 4*w**b. What is f*k(l) - 3*p(l)?\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 44*l - 54. Let z(a) = -7*a + 9. Let v(d) = u(d) + 6*z(d). Let o(k) = -2*k**2 - 171. Give v(o(n)).\nAnswer: -4*n**2 - 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from cyyycccycc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 1548.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13424 - -26027. What are the prime factors of p?\nAnswer: 3, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -10*i**2 - 16*i + 254. Let d be b(-1). Calculate the highest common factor of 122 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 309*f + 2778. Let m be w(-9). Put 3, m, 5, 2 in descending order.\nAnswer: 5, 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/2 and 191\/690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 - -146.05. Let j = -5 - s. Let z = -0.45 - j. What is the nearest to 1 in z, -3\/5, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 68112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 201, -215 in descending order.\nAnswer: 201, 3, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven quarters of a hour?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3945 divided by 1\nAnswer: -3945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-648)\/(-567))\/((-38)\/7 + 46 + -40). Suppose -4 = 5*z - 2*l - 14, -2*l = 5*z - 10. Let o = -3 + z. Which is the closest to -0.1? (a) q (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-20)*y*y*y**(-17))**10)**(-1\/24) assuming y is positive.\nAnswer: y**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5100416 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 309 = -21. Let w be 6\/4*(-10)\/(-3). Suppose -3*k - w*f = 19, k - 2*f - m = -3*k. Solve 0 = t - 3 - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3872 and 8544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416475.3 years in decades?\nAnswer: 41647.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18874, -37719, -56564, -75409, -94254?\nAnswer: -113099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660 is divided by 437.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249986 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 - 6*m + 47 as i + z*m and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38805876, 38805877, 38805878, 38805879?\n\"Answer: w + 38805875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y + y + 0*y - 6 to t + b*y and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20))\/((-2*(-1)\/(-10))\/((-115)\/3565)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4026 and 11015400?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0*s - 2 = 0, -5*k + 2*s + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -41*o**2 - 1032*o - 4130. Give w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94976 and 784.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:35 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(10) - 1*(1 + sqrt(3))) + (sqrt(30)\/(sqrt(110)\/sqrt(11) + sqrt(10)) - (-3*sqrt(363) - sqrt(363)))**2.\nAnswer: sqrt(3) + 23759\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472666 is divided by 555.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26607327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -161230689 less than -0.002?\nAnswer: 161230688.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.83 (c) -1\/2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m + 2 + 18*m + 15*m**2 - 9*m + 0*m + m**3. Determine x(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 4*l**3 + 0*l - 1 + 0*l. Suppose -3*j + b = 3*b - 4, 0 = -j - 4*b - 12. Suppose -3*p = -j*v - 11, -3*v + 7 = -v + p. Give a(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/4 + 6190965*v\/2 - 37145763\/4 = 0. What is v?\nAnswer: 3, 4127307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3957420206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 230 - 212. Calculate the highest common factor of a and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 8*b**2 - 16*b - 160. What is the tens digit of f(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 2*i - 2. Let r be t(-3). Let j = 7 + -9. Let c be ((1 + 1)\/(-2))\/1. Sort c, j, r in ascending order.\nAnswer: j, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k - 26 = 0. Let h(o) = -4 - o**3 + k - o**2 - 4*o**2 + 4*o. Is h(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -24. Solve p = 3*p + k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 25*u**4\/6 - 10860*u**3 + 21203048*u**2\/3 + 11329152*u + 13603328\/3 = 0.\nAnswer: -4\/5, 1304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5 + 2 + (2*sqrt(325))**2)*1 + 4).\nAnswer: 3933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3516 divided by -4.\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 2.928?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - u. Let m(j) = -j**2 + j. Let a(c) = -m(c) - q(c). Let d(w) be the first derivative of 2*w**3\/3 + 1. Determine a(d(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, o: 2, b: 1, s: 1}. What is prob of picking 2 t and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512805314?\nAnswer: 2, 7, 36628951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/3*-1 - -9. Let p be ((-3)\/(-2))\/(3 + (-20)\/u). Suppose 2*z = -8, 223 = p*s + 3*z - 29. Calculate the greatest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -16*f + 18*f. Solve -5*r + g = -24, r + 5*g = f*g + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 19*r**2 + 19*r + 2. Let p be y(-18). List the prime factors of (-40 + 25)*p\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**6\/210 - 3*o**5\/140 - 23*o**4\/84 - 11*o**3\/14 - o**2 - 5*o + 8. Determine k so that w(k) = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -84. Let s(c) be the third derivative of -4*c**2 + j*c + 1\/9*c**3 + 0 - 1\/60*c**5 - 1\/72*c**4. Factor s(z).\nAnswer: -(z + 1)*(3*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b - 2. Let w be p(1). What is the common denominator of 55\/18 and w - 4\/((-88)\/(-19))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - (-4)\/6. Let w = 10 + l. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -2, -281\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1687.51 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 6*n - 11. Let v be y(-4). Let z be (0 + 4\/24)*v. Let c = -151\/3 - -51. Is z at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 234 (base 5) to base 15\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -37*w**2 + 2*w. Let p(u) = 2*u. What is o(p(t))?\nAnswer: -148*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1105*h - 15 = 5*s - 1110*h, -4*s - 5*h = -15. Let v = 11 - -2. Let f = -15 + v. Put f, -13, s in ascending order.\nAnswer: -13, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:47 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 divided by -10?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2253 - -22573\/10. Let i be 21\/(-2)*118\/(-6). Let u = -186 + i. What is the common denominator of h and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 5*n**2 - 6*n + 7. Let k be (-896 - (5 - 7)) + -3. Let l = -867 - k. What is the remainder when z(-7) is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.006 + -238.994. Let o = 158 + b. Let q = 85 + o. What is the nearest to 1 in 3\/8, -1, q?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29865*0.5.\nAnswer: -14932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 8?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 2*o - 3*o - 9*o - 540 + 523. Give x(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or -2\/337?\nAnswer: -2\/337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(sqrt(68) - sqrt(68)*2 - sqrt(68)) - sqrt(68))**2 + (0 + sqrt(68) + 5 + -1)**2.\nAnswer: -6580 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 6:57 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4376*s**4 + 11*s**3 - 87*s**2 - 2*s + 13 wrt s?\nAnswer: -105024*s + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaknqqkqqadkakaaa. Give prob of sequence dkk.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11*o - 9. Let u be n(1). Suppose -u*j = 6, 3*j + 1396 + 4413 = -4*d. Let s = d - -643. What is s rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 812 - 716. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 + 1410*i**3 - 1436*i**3 + 146.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 19, -5, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 2 - 2 + 1)*(-2*q - 2*q - 7*q).\nAnswer: 66*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(5 - 257 - 59)*(0*c + c + 2*c).\nAnswer: -933*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = 5*p - 13440. Let u = -1062072\/7 - -149143. Let l = p + u. Calculate the common denominator of -32\/11 and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + g - 2518, -y = y - 5*g - 1248. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*l - 1 + 3 - 2 to the form s*l + m and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2663, -2739, -2825, -2927, -3051, -3203, -3389?\nAnswer: -3615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-7*n + 9*n + 10*n) + 4*n + 3*n - n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2408\/406 + 10\/145\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*c*n**4 - 4*c*n**3 - 11*c*n**2 - 30*c*n - 3*n**4 + 3 wrt n.\nAnswer: -2616*c*n - 24*c - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 3*z + 398 - 314, 2*s - 3*z = 81 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 - 8 = 41*v - 30 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 348065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - 51. Calculate the remainder when t is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*g + 2184 = -78*g. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81155\/3 or 27053?\nAnswer: 81155\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 7*k**5\/4 + 181241*k**4\/4 + 2820317*k**3\/4 - 4321241*k**2\/4 + 329919*k = 0.\nAnswer: -25876, -17, 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75\/2 + -37. Sort 118, k, -2 in descending order.\nAnswer: 118, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -296000 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -20427*x**2. Let s(k) = k - 11. Give s(r(c)).\nAnswer: -20427*c**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1572681.\nAnswer: 4718043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -19, 19, -3 in increasing order.\nAnswer: -19, -3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = -3*b - 3, -5*p - 5 = -2*b. Suppose 0 = 4*u - b*u. Is (157 + u\/(-1))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2225 + 3849. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4535.\nAnswer: 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*((q**(-2\/89)\/q)\/q)\/q))**(-2) assuming q is positive.\nAnswer: q**(-538\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 plus -585?\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -213 - -217. Sort -1\/6, 17, a, -2\/9.\nAnswer: -2\/9, -1\/6, a, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -1030709?\nAnswer: 1030705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 259 and -125?\nAnswer: -32375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78736 by -2.\nAnswer: 39368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -43, -100, -187, -310?\n\"Answer: -t**3 - 6*t**2 - 8*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*w**2 + 8*w - 141*w**2 - 23*w**2 + 80*w + 88*w**2.\nAnswer: 3*w**2 + 88*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720205898.\nAnswer: 2, 7759, 46411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2555*p**3 + 15*p**2 + 762*p**3 - 14*p**2 + (-p**3 + 2*p**3 - 2*p**3)*(2 - 1 - 2) as r*p + t + i*p**2 + j*p**3 and give j.\nAnswer: -1792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000159740018 to seven decimal places.\nAnswer: 0.0001597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1916 and 1437?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3008874361?\nAnswer: 73, 41217457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/11)\/(o*o\/(o**(-2\/5)*o)))**46*o**(2\/15)\/((o\/(o*o\/o**(-2\/7)*o))\/o)*(o\/(o*(o**5*o)\/o))\/(o\/(o**(-4\/7)\/o)) assuming o is positive.\nAnswer: o**(-93668\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1315 (base 8) to base 10\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -43*s - 16. Suppose 20 = -10*w + 5*w. List the prime factors of j(w).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*a = 2*a + 14, -5*a - 22 = -3*n. What is the first derivative of 3 - 3*f**4 + f**n - 2 - 3 wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4990 * 3\nAnswer: -14970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*y**2 - 2*y + 887*y**2 - 303*y**2 - 299*y**2.\nAnswer: -16*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -45971, -3, 5 in descending order.\nAnswer: 5, -3, -45971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101302328578*d**3 - d + d - 101302328582*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 298768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/15 - d**2. Let x(p) = p**2. What is t(x(m))?\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 124. Does 27 divide 4\/18 + 2584\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -626\/11 (b) -2 (c) 3\/2 (d) -4\/5 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -353\/6 - 95\/6. Let f = g - -75. What is the closest to -0.1 in 7, f, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (119123\/(-2) - 2)*(-232)\/348 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 7 = -x, 11*x = r - 361 + 284 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2\/(-4)*-5. Let n = 50.24 - 50. Let c = n + -1.24. Is u <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/13624 and 119\/5240.\nAnswer: 68120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**3 - 35*b**2 - 13*b - 3. Let d be v(-4). Solve 5*j + 2*l = 13, -j - 25*l = -21*l + d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 2. Give a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -499734 by 13.\nAnswer: -499734\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 350 + 25302461.98\nAnswer: 25302811.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 15 - (-15807)\/(-7185)*50\/6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*m - 6, -4*s - 16 = -2*m + 14. Let o be (-2)\/(-3) - 14\/s. Solve -3*u - 3*y + o = -3, -3*u + 5*y = -22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 5, -9, -21, -2 in descending order.\nAnswer: 39, 5, -2, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2 + 2 - (-1296)\/(-144) - (-624)\/8.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a kilogram in grams?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - -1a7a?\nAnswer: 1a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 6*u + 3. Let m be i(5). Let p be 5 - -1*(-1 - -12). What is the greatest common factor of p and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, 1 o, and 1 j when four letters picked without replacement from ezfjueo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -324, -795, -1512, -2505?\nAnswer: -3804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1793868*s**2 - 346*s + 1657.\nAnswer: -3587736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/3*516\/(-16).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 258, -2, 3, 5 in descending order.\nAnswer: 258, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156.5 - -180.224. Round m to 0 dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 15 - 7. Suppose q*d + 3*d = -3*a + 3, -a = -1. Let n(v) = -v**3 - 13*v**2 + 29*v. Let u be n(-15). Solve -5*k + d*k = -u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.192 rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70805 and 2835?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17)*-5 + sqrt(102)\/sqrt(6)*-4)*1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5509 + -3559. What is the lowest common multiple of q and 20?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8208)\/(-162))\/(-19)*6\/1072.\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16725 is divided by 60.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15298 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3 - 7662681*z**2 - 30650712*z - 30650708 = 0.\nAnswer: -7662677, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 189?\nAnswer: 8694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 4*q. Let l be (-660)\/(-1 + -3) + q. Suppose -5*y + 592 + l = 4*c, 0 = 5*y + 3*c - 754. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 2533*l**2\/3 + 1691*l - 2535.\nAnswer: -(l - 2535)*(l - 1)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhgydggyh. What is prob of sequence dygh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r + 27. Let l be a(3). Suppose 9*z - l - 27 = 0. Let v(o) = -o - 9. Let d(x) = -2*x - 10. Let q(i) = -3*d(i) + 4*v(i). Calculate q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 29733 - 59467 + 29734.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -7*b**4\/12 - b**3\/6 + b**2\/2 + 14*b. Let i be -9 + 0 + (13 - 6). Give p(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = 3. Let y(f) = f + 1. Let b(w) = 2*w. Let s(n) = o*y(n) + 3*b(n). Let r(p) = p - 2. Calculate 11*r(c) - 6*s(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - ((22 - 6) + -3)) + -7 + -1 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8747?\nAnswer: 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 13*s**5\/60 + 1334*s**2. Let t(p) = 158*p**2. Calculate n(t(c)).\nAnswer: 324532*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n**4 + 0*n**4 + 2*n**4)*(405*n - 183*n + 46*n + 57*n + 295*n).\nAnswer: -4960*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/4 + 29\/1. Suppose -n = 5*l + 11. Let t(y) = 77*y**3 - 9*y**2 + y + 8. Let i be t(l). What is i rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -95*j**5 + 400*j**4 + 190*j**3 - 800*j**2 - 95*j + 400 = 0. Calculate j.\nAnswer: -1, 1, 80\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 k when four letters picked without replacement from {k: 6, w: 13}.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -18*y + 357. What is j(20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 2. Let b be k(-2). Suppose 5*j - 35 = -10. Suppose j*a - b*a - 8 = -q, 5*q - 2*a + 11 = 0. Which is greater: -1\/12 or q?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1666 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8690 plus -0.14?\nAnswer: 8689.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80771\/7 or -11539?\nAnswer: -11539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -667877979.4 rounded to the nearest ten thousand?\nAnswer: -667880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*z + 33 = 0, 5*z = -3*x + 7*x + 9. Let k = -80 - -89. Let j be 5 - (k - (-2)\/2). Do x and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -4\/3*x**3 - 86 + 64*x + 8*x**2 - 1\/4*x**4. Factor f(i).\nAnswer: -(i - 4)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:57 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 621214264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*f + 5*f. Let h(v) = v - 2. Let i be h(f). Suppose -2*z + 316 = i*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**3 - 2*q**2 - q + 2. Let m be g(-2). Let u = m - -83. Let z be 2\/u - (76\/(-7))\/4. Solve -2*d = z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/6*((-64)\/12)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650 is divided by (10 - -25)\/(20\/16)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 824855 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 8. Let g(b) = -3*b**3 - 11*b**2 - 5*b - 6. Let o(u) = -3*u - 17*u**2 - 4*u**3 - 5*u - u**3 - 9. Let q(x) = 8*g(x) - 5*o(x). Determine q(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + (2 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22554 by -6.\nAnswer: 3759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 - (0 + 4 + 5 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -19, -12, 13, 62, 141, 256, 413?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + 13 + -13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(425) + (sqrt(425) + sqrt(425) + 3*sqrt(425))**2 + sqrt(425).\nAnswer: 10*sqrt(17) + 10622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - 6) + -3 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 0*q)*(1 + 3 - 3)*(0 - 2 - 1)*(-2*q**2 + 2*q**3 + 2*q**2).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-13)*z**23*((z**20\/z)\/z)\/((z**(-2\/11)\/z*z*z)\/z) assuming z is positive.\nAnswer: z**(321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1704818.\nAnswer: 2, 852409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1170\/(-1404)*(-6)\/10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123448418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 20*o**2 - 35*o - 15. Let a be y(23). Let t = a - -4134. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67\/3 + -23. Let f = 8 + -7. Which is the biggest value? (a) f (b) n (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q**3 - 4 + 11 + q**3 - 2*q**3 + 5*q**2. Let c be s(5). Let p(z) = -7 + c + 4*z**2. Let v(d) = d**2. Calculate p(v(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/47, 21, -0.2, -3 in descending order.\nAnswer: 21, 2\/47, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 302136473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*z - 5*z**2 - 125*z + 65*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-6)*(-82)\/(-10) and 10\/(1749\/126 - 26\/156).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (598 + -574 + -3 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-451)\/2706)\/(1\/4*(-24)\/(-102))?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 626 - 626. Solve 0 = -t*b + 10*b + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**3 - s**2 - 3*s + 3. Let c be i(2). Suppose -12*r + 5*r = -c. What is the greatest common divisor of 112 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 9:42 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 875786.6m in micrometers?\nAnswer: 875786600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (54 - (-40 + 184)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8061 and 18807.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 17*l**2 - 20*l**2 - 2*l**2 to the form j*l + y + k*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.0102051.\nAnswer: -0.0510255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - t = -29, -z + 8*t = -0*z + 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgggxgxxxgxxgxxxxxg. Give prob of picking 2 g.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -355, -1452, -3279, -5836, -9123, -13140, -17887?\n\"Answer: -365*u**2 - 2*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-1))\/(((-90)\/(-435))\/((-372)\/(-2697)))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.84 - -254.16. Let j = u - 256.5. Which is the second smallest value? (a) j (b) -5 (c) 2\/9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 5*h + 21, 34*h - 38*h - 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 + 3.2. Let k = 21.2 - 5. Let m = -16 + k. Which is the smallest value? (a) m (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 8. Solve -b*d + 4 = 3*p - 2*p, d = p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 - 275. Let u = 44 + q. What is the nearest to -1 in -5, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q. Let p(v) = -30171*v. Calculate p(i(m)).\nAnswer: 392223*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75.07962534 - -4140727746.92037466. Let c = 4140727656.0000087 - a. Let w = c + 166. What is w rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 533930728 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19 + (-2)\/(1*-2). Let g = -551 + 569. Let k = g - c. What is the closest to -2 in -0.1, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15884 + -0.158819431. Round s to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -43.2, -4\/3, -2, 377?\nAnswer: 377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10802 + -1*(1 - -3). Let q(p) = j*p + 5036*p + 12 - 16. Let f be q(6). What is f rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4296)\/(-33) + (-2)\/11?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jswsjjvwsr. Give prob of picking 1 j and 2 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2117350 by -1325.\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 + 148. Let x(i) = -2*i + 7. Let g(q) = -q + 8. Determine u*g(p) - 7*x(p).\nAnswer: 8*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n - 2. What is p(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 0 + 1 + 3 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i*i*i\/i**(2\/15)*i)\/i*i)\/i*i)**16 assuming i is positive.\nAnswer: i**(1168\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**2 + 4*p - 10. Let b(g) = 7*g**2 + 2*g - 12. Let w(x) = -5*b(x) + 6*t(x). Let n(q) = -2*q**2 - 27*q. Determine -2*n(f) - 5*w(f).\nAnswer: -f**2 - 16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6548609924 to five dps.\nAnswer: -1.65486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 3966.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - 85. Let j = l - 15. Solve -3*c = 8 - j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*d**3*x**3 + 5*d**3*x**2 + d**2*x**4 + 2*x**3 + 11*x wrt x.\nAnswer: -114*d**3 + 24*d**2*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 345 (b) 0.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1640222 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 1, u: 1, z: 2, e: 2}. Give prob of sequence ufzp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -14. Solve 4*m = 4*f - m + p, 15 = -5*f + 5*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001709534 to 5 decimal places.\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4 = -2*y, 0*b + 3*b = 5*y + 3. Let r be (1\/3)\/((-15)\/(-180)). Suppose 2*q = 3*h - 8, y = -q + r*q - 4*h + 12. Sort q, 1, 5 in decreasing order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 13 - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from brbrbbbrbrbrr.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/2 + -4 + 74?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 20 = -5*x, -19393*x + 8 = -19395*x - 5*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/252*(-69)\/92\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*o + 69, 3*o - 36 - 7 = 4*k. Suppose 0 = -4*l + 4*g + 204, -249 = -5*l + g - 2*g. Calculate the remainder when l is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**2*t + 2368*k**2 + 99*k*t**3 + 5*t wrt t?\nAnswer: -k**2 + 297*k*t**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -129, -565, -1293, -2313, -3625, -5229?\n\"Answer: -146*g**2 + 2*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -30*r**3 - r**2 - 6*r - 4. What are the prime factors of x(-2)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, i: 1, m: 4, f: 4, z: 2}. Give prob of sequence gz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 86. Let h be i(0). Let s = 165 - h. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 35. Let c = 1 - -17. What is the lowest common multiple of c and g?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/17)\/(0 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 896145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 414 by -23.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q + 12. Let c(r) = 29*r - 57. Let n(z) = -4*c(z) - 19*j(z). Let l(f) = -12*f**2. What is n(l(s))?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -4*o. Let w(b) = 3*b**2 - 7*b + 8. Let u be w(o). Solve 6*n**2 - u*n**3 + 48\/7*n + 8\/7 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227187 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 8*w**2 + 8*w + 15. Let p be v(-9). Calculate the greatest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/13 - 16*w**4\/13 - 32*w**3\/13 + 36*w**2\/13 + 162*w\/13 + 108\/13 = 0. What is w?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1983 - 866 + 621)*(3*y - 2*y - 2*y).\nAnswer: 2228*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*x - 5*a, 2*x - 15 = -4*a + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 262*b - 6 - 267*b - 4. Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107283260\/30072 - ((-99)\/(-210) + 2\/(-5))?\nAnswer: 36821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(133)*1 + sqrt(133)) - sqrt(133))\/sqrt(7).\nAnswer: 1 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14489 greater than -854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/979704 and 89\/66.\nAnswer: 979704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*a + 2468 - 2390, 0 = -5*a + 26*w + 257 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*z + 65*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 divided by -3?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r - 275. Let y = 49 + r. Let o be (y\/2)\/(((-3)\/61)\/3). Round o to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*b + b + 0*b)*(2 - 4 + 0) - 5*b - 2 - 6*b - 35*b)*(-3*b**3 - 2*b**3 + 3*b**3).\nAnswer: 76*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**2 - 11*t - 5 + 0*t + 6*t - 8*t. Let i(f) = -4*f**2 + 6*f + 2. Let x(j) = -2*b(j) - 5*i(j). Let x(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10013\/(-403) + (-8)\/(-13)*1\/(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 2*r - 5. Let f be o(4). Find the third derivative of -3*k**2 - 2*k**4 - 15*k**3 + 15*k**f wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -219 or -206?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2*u)*(-3 + 2 + 0) + 0*u + 2*u - u + u + u + 0*u + u + u + u)*(3*u - u + 2*u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 469 - 261. Calculate the greatest common factor of t and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53342032?\nAnswer: 2, 127, 26251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 459573545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*2*2\/8*-2. Let n be 357\/30*(-9)\/(378\/(-24)). Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 - 8*j**2 - 6*j + 6677. Is 9 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r + 311 = 6*r + 71 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52726 and 20771472.\nAnswer: 851630352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 925*o + 125. Let x(b) = -39*b - 56. Let t(w) = 59*w + 79. Let z(q) = -5*t(q) - 7*x(q). Determine 3*d(s) + 125*z(s).\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4404 by -12.\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2131915163?\nAnswer: 7, 859, 354551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878154 minus -2?\nAnswer: 3878156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 66 - 33 = -132*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -4, 0 in ascending order.\nAnswer: -4, -2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (66 - -3)\/((-4)\/4). Let s = a + 485\/7. What is the second biggest value in 3, 3\/5, s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -19*t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3404 to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(2014 + 304*n - 2014)*(-n + 0*n + 3*n) + (5*n - 2*n - n)*(-3*n + 0*n + 4*n) - n**2 + 3*n**2 - n**2 + 4*n - 4*n + n**2.\nAnswer: -604*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 10*r**2 + r - 7. Suppose 4*y - 78 = y. Calculate the remainder when k(8) is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 45+736550\nAnswer: 736595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, -121, 0.04 in decreasing order.\nAnswer: 3, 0.04, -0.3, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - -6 - 2*(-1 - -6). Which is greater: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + c + 237, 2*k - 3*c = -k + 180. Solve -k = 4*w - 63 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 = 6. Suppose 4*k - 16 = w*l, 4*l - 2*k = l - 8. What is the smallest value in l, -5, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37511 rounded to 2 dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136445686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p**2 + 0*p**2 - 4*p**2)*(-108 + 1944 - 149) + (2 + p - 2)*(0 + 0 + 2*p) - 3*p**2 - p**2 + 3*p**2)*(2*p + 0 - 3 - 3*p).\nAnswer: 3373*p**3 + 10119*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5047590849?\nAnswer: 3, 7, 2447, 98227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29063174?\nAnswer: 2, 7, 296563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 5 - 5)*(-3 - 4 + 2) - 9*f + 26*f - 11*f + (-2 + 5 - 10)*(0*f - 3*f + 5*f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -59. Let l(z) = -17*z + 2*z + 8*z**2 + 3 + z**h - 3*z + 7*z. What is the remainder when l(-9) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(36)\/sqrt(4) - -6*(sqrt(9) + 2*sqrt(9)))\/((sqrt(363) + -1*sqrt(363) - sqrt(3))*4).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 - -130. Solve n*r = 5*r + s - 7, -3*r + 3*s - 9 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**2 + 1. Let l(q) = 14*q. Let w(f) = 5*f. Let p(b) = -6*l(b) + 17*w(b). Calculate a(p(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12086297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -487, -1758, -4259, -8398?\nAnswer: -14583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 4\/7, -22.745, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:55 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.495 - 0.365. Put t, 5\/3, 5 in decreasing order.\nAnswer: 5, 5\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m + 61. Let j(r) = -25*r + 185. Let t(z) = -10*a(z) + 3*j(z). Let y be t(17). What is the greatest common divisor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**7\/2520 + i**6\/144 - i**5\/40 - 5*i**4\/12 + 5*i**2. Let o(z) be the second derivative of x(z). Determine o(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 4*g**2 - 12*g - 7. Let v = -434 - -428. Determine c(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 4*u + 26, 3*z - 6*z + u = 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 divided by 722?\nAnswer: -243\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/3 - 26*u**4\/3 + 469*u**3\/3 + 326*u**2\/3 - 2080*u + 1824 = 0. Calculate u.\nAnswer: -38, -4, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**2 + 4*v**2 + 0*v**2)*(-3 + 4 + 1) + (v + 0 + 0)*(-2*v + 2*v + 2*v) as k + g*v + t*v**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 75 = -297. Suppose -3*v = -5*v + h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 11 + -2 + 5 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/2)\/(-4 + 2\/1). Suppose v = 6*w - 7*w + 4. Suppose 0 = 3*i + 3*k, 0 = -w*i + 4*k + 37 - 13. Solve -6 = -3*s + i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 5, o: 4}. Give prob of picking 3 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 t when four letters picked without replacement from ddddddddvteedydyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3201, 33, -5, 3, -4 in descending order.\nAnswer: 33, 3, -4, -5, -3201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - h + 260, 0 = -7*m + 11*m - 3*h - 260. Calculate the remainder when m is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**9\/7560 - q**5\/120 + q**4\/12 - q**2. Let a(m) be the second derivative of u(m). Differentiate a(g) with respect to g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -53, -0.4, 21363?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3100144 (base 6) to base 3\nAnswer: -21111202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 13, p: 1, w: 5}. Give prob of sequence ss.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r + 60. Calculate g(-11).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41859354 to the nearest integer?\nAnswer: 6470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8640259891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 22. Let i = d + 26. What is the least common multiple of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69.66 - 0.91. What is q rounded to zero dps?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kii when three letters picked without replacement from {i: 8, k: 4, h: 1}?\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.1793852 rounded to 1 decimal place?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 - 30*o + 144. What is l(6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 5\/1484 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1, 34*i - 136 = 30*i + 4*p. Calculate the remainder when 143 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-9) + (102\/187)\/((-144)\/1408)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 5, b: 2, h: 2}. Give prob of picking 2 r and 1 b.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 2, q: 1, d: 3, a: 2, l: 1}. What is prob of sequence qls?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or -1\/896?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 48*t**2\/5 + 302*t\/5 - 348\/5.\nAnswer: -2*(t - 29)*(t - 1)*(t + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/((-2)\/12). Suppose 6 = y - f*y. Is (-2)\/y - 5768\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113332 + 10?\nAnswer: 113342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*o + 6*o + 2*o to k*o + j and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-154)\/99*6\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 - -16.62. Let q = -16.50000079 + b. What is q rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 3, 34, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 227269341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56 + 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -108604*w + 683. Is c(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -4, -7, -8, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31561931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526*g**3 - 1534*g**3 + 4581*g**3 - 1526*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.3 - 16. Let q = -423 + 419. Let s = 7\/31 - -13\/217. What is the nearest to 1 in q, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/75 - (-22)\/(-60)*1. Let z = -0.053 + -2.047. What is the biggest value in v, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:24 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 0. Suppose -48 = -w*y + 15. Calculate the remainder when y is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3102757 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5120)\/48)\/10)\/(-1*(-4)\/(-6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:52 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 3*v - 2, -7*y - 5*v + 25 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - 40 - (0 - (-10 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 2*u**3 - 2*u)*(2 - 2 + 1)*(-20 - 16 + 12)*(2*u + u - 2*u)*(2 - 3 - 8) as d*u**4 + q*u**3 + g*u + h + i*u**2 and give d.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2\/3*r**3 - 22 + r**2 + r. What are the prime factors of t(5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.16 + -3.76. Let k = -1.4 + l. Is -23 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 41\/8 (b) 2.5 (c) 1 (d) -159 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 3*x**2 + 34. Let l(d) = -d**2 - d - 1. Calculate k(p) + 2*l(p).\nAnswer: -p**3 + p**2 - 2*p + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(-40)*(o**(-1)\/o*o)\/(o*o**(1\/8)*o*o)*o**(-5\/3)\/o*o**(1\/2)*(o**(-1))**(8\/3) assuming o is positive.\nAnswer: o**(-455\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 = y. What is the third derivative of -k**5 - 5*k**y + 5*k**3 - 2*k**2 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 54052 = r + 15570, -3*r - 208894 = -2*w. Let t be ((-10)\/(-4))\/((-2)\/4). Let j be r\/(-150) + (12\/t)\/(-3). What is j rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2\/4 + 87679*o\/4 - 153426 = 0.\nAnswer: 7, 87672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -60 - 75. Let g be q\/6*(-12)\/(-9). Solve c - 2*l - 14 = 0, 0 = -2*c + g*c - 2*l - 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**3 - 104732828*x**2 - 128133340?\nAnswer: 6*x**2 - 209465656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or -3571?\nAnswer: -3571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -16035?\nAnswer: -16032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*d + 5*k = -25, -k - 5 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 0 + 11 + -7)\/(18\/53946) a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**2 - 25*f**2 - 247*f**3 + 339*f**3.\nAnswer: 92*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1248*l + 4014 + 8466 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 3870660480 a multiple of 4128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teeetbnbeebevtybye. What is prob of picking 1 b, 1 y, and 2 e?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 145*b + 7. What is t(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:42 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2118268*p**4 + 818641*p wrt p?\nAnswer: 25419216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r. Suppose -4*w - 7 + 31 = r. Suppose 0*g + 3*g + w = 3*z, -5*g = 4*z + 37. Which is the third smallest value? (a) -2 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w - 2. Let s(j) = j. Calculate -m(y) + 4*s(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305547740 is divided by 369019?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -1\/15*n**6 + 1\/10*n**5 + 4*n + 0*n**3 + 0 + 0*n**2 + 0*n**4. Factor a(g).\nAnswer: -2*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54999 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*w + 5233*w**2 - 34*w + 466 + 16*w - 2323 wrt w.\nAnswer: 10466*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 59 = -29*a - 46, -12*q + 15*q - 18 = -3*a for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/8 + 142209*x + 40446799362 = 0.\nAnswer: -568836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, -8\/5, 3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -12 + -7 - (-1 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12570*t - 80 = -12550*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 6*d - 1935. Let m be p(48). What is w in 54*w**2 + 3\/2*w**4 + m*w + 15*w**3 + 81\/2 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 60 = 4*x, -5 = -5*x + 20. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -22*o**3 - 42*o**2 + 15*o + 25. Let g(a) = -5*a**3 - 10*a**2 + 3*a + 6. Let u(y) = -9*g(y) + 2*h(y). Give u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -87069*t - 3107. Is f(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oobobbboob. Give prob of sequence oboo.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 5*j - 2*j)*(-273*j**3 + 76932*j - 233*j**3 - 76932*j).\nAnswer: -1012*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*c + 82 - 80 - 37*c + 24*c in the form b*c + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278 is divided by 1147?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203 + 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -340*a**3 + 596 with respect to a.\nAnswer: -1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 68*j**3 + 534*j**2 - 80*j = 0.\nAnswer: -8, 0, 5\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/2539 + -109166\/27929. Let f be (-6)\/15 - 3692\/(-5). Let v = -2191\/3 + f. What is the common denominator of v and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(2*sqrt(21)\/sqrt(3))*6 - ((-3*(sqrt(119) - 1*sqrt(119)) - sqrt(119)) + sqrt(119))\/(-1*2*sqrt(7)))**2 + 4 + 1.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2 = -3*o, -246*n + 10 = o - 249*n. Solve 2*k = -v, o*v - k + 8 + 1 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23.083308 months?\nAnswer: 1.923609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 21 = 4*y, -3*y + 35 = 5*w - 4*y. Suppose -u = a - w, -3*u - a = -6*a + 11. Solve -4*l + 0*l + 18 = 2*k, 5*k - 4*l = u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p - 11. Calculate q(-12).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 358758 = -76*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1792253*f + 133117*f.\nAnswer: 1925370*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*s + 1211774 = -115279. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/1306991 and 23\/9827.\nAnswer: 1306991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14458, -28917, -43376, -57835, -72294, -86753?\n\"Answer: -14459*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5022902 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-2*10*14\/(-560))\/((-2)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*8\/12 + 5. Let f(c) be the second derivative of 4*c - 7\/2*c**2 - 7\/6*c**z + 0 + 1\/2*c**4. Let r(s) = 5*s**2 - 6*s - 6. Calculate -4*f(v) + 5*r(v).\nAnswer: v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) + (-44)\/(-10). Let s = 8 - n. Suppose 0 = -s*a - a + 30. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156879 to the nearest one thousand.\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66635*q**3 - 3*q**4 + 2*q**4 + 66637*q**3 + 6208 to d + g*q**4 + k*q + c*q**2 + h*q**3 and give d.\nAnswer: 6208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + w**4 - 3*w**4 - 3*w + 2*w**4 + 3*w + (3 - 1 - 3)*(-w**4 + 0*w**4 - w**4) + w**4 - 1 + 1 - 689*w**4 - 3227*w**4 - 21*w**3 + 21*w**3 - 223*w**4.\nAnswer: -4136*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -7.76. Let f = 0.24 + n. Let s be (-6)\/8*(-1)\/(78\/24). Does s = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/5)*p*p**0*(p**4*p)\/p*p*p*p*p\/(p\/p**(-1\/10)))**13 assuming p is positive.\nAnswer: p**(1131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37617 is divided by 453.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6742 and 6425126?\nAnswer: 6742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -20, 81, -1 in descending order.\nAnswer: 81, 5, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {c: 4, k: 1, f: 2, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4994 plus -0.4?\nAnswer: -4994.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -5*l**3\/6 - 3*l**2\/2 + 2*l. Let d be f(-3). Suppose 2*s + 4*m = 5*m + 17, -6*m = 4*s + 6. Solve -3*p = -s*p - d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114705, 112701, 110709, 108735, 106785, 104865?\nAnswer: 102981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51357627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(90)*1)\/sqrt(10))\/(5*-1*sqrt(75)) + 2.\nAnswer: -6*sqrt(3)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*k**2 + 29 + 12 + 12 - 53.\nAnswer: -198*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1448 - -1453. What is the nearest to -6\/11 in -7.2, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8756*v**4 - 180*v**2 + 148*v wrt v?\nAnswer: 210144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from xwkww.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 2*f**3 - 3*f**3)*(0 + 0 + f) + 3*f**2 - 3*f**2 + 15*f**4.\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.74834 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7496\/37355 - 5\/7471. Find a, given that b*a**2 + 1\/5 - 2\/5*a = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/12)\/(2\/(-80)). Suppose 225 = 3*m - 0*m. Calculate the highest common factor of n and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 10.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*i**4 - 5922403*g*i**3 + 68*g - 3*i**3 + 523*i**2 - 700 wrt i.\nAnswer: 48*g*i - 35534418*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22500 (base 8) in base 9?\nAnswer: 14065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 7*n + 8. Let z(d) = d**2 + 6*d + 1. Let y be z(-4). Let g be x(y). Let k = 14 - g. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**6\/60 - t**5\/5 + 79*t**4\/24 - 35*t**3\/6 - 120*t - 10. Factor b(c).\nAnswer: -c*(c - 5)*(c - 1)*(c + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 22*l**2 - 44*l - 25. What is the least common multiple of 35 and i(-20)?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*3 - (-7 + 6). Let j(q) = -q**3 + 2*q**2 - 14. Is j(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + -3 + 0 + 6 + -104 + 83.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1689267 and -1689267 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + s - 1 + 20)*(-1 + s + 1) as x*s + k*s**2 + t and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*-6*(-3 + (((sqrt(567)*-1)**2 + sqrt(567))*-1 - (-3 + sqrt(567)*-2)))*4.\nAnswer: -81648 + 1296*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from iguivjt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*g**2*n - c*n**2 - 2*c - 1503*g**3*n**2 + 5404*g**3*n - 3*n**2 wrt n?\nAnswer: -2*c - 3006*g**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 4264*b + b**2 - 5 + 0 + 8522*b - 3.\nAnswer: b**3 + b**2 + 12786*b - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9404 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 5*q**2 + 4*q + 9. Let r be o(6). Let h be (0\/r)\/((-2)\/(-1)). Let c be 3 + 3 + -2 + h. Solve n = c*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, -0.2, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akr when three letters picked without replacement from aakrakraaakakara?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 105?\nAnswer: 104.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9277 = 910*f + 7103 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(3\/5))\/n)\/n**4)\/((n\/n**0)\/(n**(3\/2)\/n)))**(-46) assuming n is positive.\nAnswer: n**(897\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*t - 16*t - 408. Let r be 13 - (-8 - -2 - -2). Calculate the highest common factor of t and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.2773 + -11.78. Let u = -0.0817 - l. Let f = u + -0.155. What is f rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*n - 186*n - 16 = 0, -2*n + 1376 = 3*p. What is the least common multiple of p and 912?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-3*-2)**2 - 4*(0 + sqrt(180)))*-4 + -1 + -3.\nAnswer: -25924 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7570412537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -31. Let l be (-4)\/3 - k\/27. What is the nearest to l in 0.3, 5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 299440, 299441, 299442, 299443, 299444?\n\"Answer: u + 299439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + 50 + 15 + -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwuuccxuwwcwu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -786500*a**4 - 195281 wrt a.\nAnswer: -3146000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 422\/(-30) - 3497\/(-269). Which is the nearest to i? (a) 2\/5 (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7831 - 2937 = -673*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3245*v = -3296*v - 2*u - 65, 3*v - 39 = 6*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15632 (base 7) to base 12.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 278.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1192, 2360, 3528, 4696?\n\"Answer: 1168*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 187, 194, 203?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*r*z**3 + 957*r*z**2 + 5139*r*z + 371899783*z**3 wrt r?\nAnswer: 5*z**3 + 957*z**2 + 5139*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.843754 millennia to months.\nAnswer: 82125.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7591506.\nAnswer: 2, 3, 13, 97327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - -49 - (-1 - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137 and 548.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20046002 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 60*u = 16*u + 658 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2345*f**2 + 2447*f**2 + 8182*f**2.\nAnswer: 12974*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 347576862 + 88095\nAnswer: 347664957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (511516\/(-9471) - -54)\/((-3)\/45 - 42\/(-105))\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/4)\/((-7458)\/(-1496) + -5). Is u smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -861224*k**2*t**3 - 674814*k**2 with respect to t.\nAnswer: -2583672*k**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - -2*(-2 - -3). Suppose 0 = -q*u + 21 + 15. Let g = u - -1. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 - 1 = 0. Find the third derivative of -7*b**d + 5*b**2 + 2*b**5 + 6*b**2 wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:08 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3639, -23118, -75969, -178872, -348507?\n\"Answer: -2780*t**3 - 6*t**2 - t - 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45.2 - -26.8. Let p = k - 64. Which is the third biggest value? (a) 2\/9 (b) -0.5 (c) p (d) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhphihphhphhihhih. Give prob of picking 1 i and 1 p.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o**3 + 4*o**3 + 2*o**3)*(3*o + 0*o + 0*o)*(7833 + 194 + 1622 + 6092) in the form p*o**2 + c + g*o**3 + m*o**4 + f*o and give m.\nAnswer: 47223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-287)\/(-18) + 24\/432. Solve s + 6*p + f = 2*p, p + 15 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Let o = -2 - -4. Differentiate 14*y**2 - 14*y**o - m*y**4 - 2 with respect to y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiciiccciccjcici. What is prob of picking 2 c?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -2.6988\nAnswer: 0.26988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*b + 165*b - 421728 + 10724 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, -10\/11, -113, -0.2 in descending order.\nAnswer: -0.2, -10\/11, -113, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 784.7 - 735. Let p = -107.4 + 81. Let g = p + o. What is g rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4967987913 and -6190.\nAnswer: 4967981723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from brzbkl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 22670051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/10425 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4572800 + -9625.\nAnswer: -4582425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yil when three letters picked without replacement from hlldllyidyl?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 9*z - 6. What is c(13)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {l: 1, f: 1, i: 1, g: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/168 and 23\/132?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147767?\nAnswer: 3, 382589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v**3 + 3*v**2 + 2*v. Calculate o(-2).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -52. Suppose -2*s + 4*k = -5*s + 310, -4*k - 20 = 0. Suppose 7*j - s = 2*j. What is the least common multiple of j and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 - 3. Let s(d) be the second derivative of d**4\/6 + 2*d**2 + 5*d. Let f(t) = 3*s(t) + 4*u(t). Let c(b) = 2*b. Calculate f(c(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36, 71, 106, 141, 176, 211?\n\"Answer: 35*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 232*d + 2*d**2 - 111*d - d**2 + 1 - 121*d. Let j(w) = -16*w**2 - 4. Give j(p) + 4*v(p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(6\/1) + 811. What is the highest common divisor of l and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 + 29*m**2 - 18*m + 12. Let p(s) = 2*s**3 - 28*s**2 + 16*s - 9. What is 4*p(g) + 3*v(g)?\nAnswer: -g**3 - 25*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/48 and -23\/45.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**2 + 9*v - 5. Let p be h(-2). Sort -28, p, -1.\nAnswer: -28, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -305712.4671 to the nearest one thousand.\nAnswer: -306000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18 - 2107\/(-3354).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(343) + sqrt(343))**2*3*4*4.\nAnswer: -1344*sqrt(7) + 65904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuguuuguuuuguuqqu. Give prob of picking 1 q and 3 g.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.182 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -202 - -201.9. Let t = -33 - -31. Which is the second smallest value? (a) t (b) v (c) -1\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 32, 4, -82?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1040 and 103\/936?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/87 and -37\/123.\nAnswer: 3567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/150 - 4*p**3\/15 - 5*p**2. Suppose b(v) = 0. What is v?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, w: 1, t: 16}. What is prob of sequence wt?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 2*y + 1. Let l be p(-2). Suppose 0*k + l = 3*k. Let a be k + (12\/3 - 2). Solve -a*b + 7 - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1501 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5315*f + 154140. Calculate u(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911891316 is divided by 137?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/1 + (4 - 4). Let a = h - -2. Let s be (a*1)\/((-2)\/50). What is s rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16861 and -26996.\nAnswer: 455179556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + p + 3. Let j be c(4). Calculate the remainder when (-2)\/(-4)*j*(-114)\/(-19) is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 20*k - 45*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008229700?\nAnswer: 2, 3, 5, 19, 29, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 345 and 621?\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(262578*r**4 + 273539*r**4 - 525472*r**4) in the form w*r**4 + u*r**2 + k*r + p + g*r**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from rsqsd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/5? (a) -0.3 (b) 1\/2 (c) 1.82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98572579 less than -2.277?\nAnswer: -98572581.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*m = -25, m - 6 = -4*c + 20. Let p = 1 - -9. Let g = p - c. Solve 0 = -g*u - z + 9, z = -z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 168 - 156 - (15 + -1). Sort 5, -1, -38, k in decreasing order.\nAnswer: 5, -1, k, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70379953 to the power of 1\/2, to the nearest integer?\nAnswer: 8389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:01 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 410 + -467. Let f = z - -61. Solve -f*i - 5*s + 16 = -9, 2*i - 5*s + 25 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -95, -5 in ascending order.\nAnswer: -95, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 14. Let n = y + 1. Let d be (-7)\/((-105)\/(-6))*-5. Solve 4*c + r = -17, 2*c + d = -2*r - n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7791 - -7788.9012. Let v = 0.1024 + t. Let u = v + 2. Round u to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-64)*(-194)\/2425.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3654 is divided by 334.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8776*g - 5*g**3 - 15*g**2 + 2 - 8791*g - 7.\nAnswer: -5*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 9*m**2 - 23*m - 3. Let t be w(-11). Solve j + t = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 33. Suppose 0*b = 2*b - 4. Suppose -2*m = -4*r + 62, -r - 40 = -3*r - b*m. Solve 0*d - 2*p - r = 3*d, d + 3*p + h = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 85472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 12. Let v be (-6)\/(-4)*8\/6. Calculate the remainder when -14*(1\/v)\/(-1) is divided by m(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70, -76, -84, -94?\n\"Answer: -n**2 - 3*n - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*p - 35210 = 113*p - 284*p - 77*p for p.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 - 667 = -132*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -2.2. Let n = -0.15 + 4.15. What is the second biggest value in f, n, -0.4, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323332 - -300?\nAnswer: -323032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(5\/(-15)). Suppose n*i + i = 15. Solve i*f = -0*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18768060 and -1?\nAnswer: 18768060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537036?\nAnswer: 2, 3, 44753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from kzlkl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.856587 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0*t**3 + 0*t**2 + 3*t + 5\/12*t**4 + 0 + 1\/4*t**5. Factor f(u).\nAnswer: 5*u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3))**9*(c**(3\/4)\/c)**(5\/4))**(-47) assuming c is positive.\nAnswer: c**(4747\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 24 (b) 0.4 (c) 0.2 (d) -3 (e) 2\/23 (f) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 4, o: 4, c: 1}. What is prob of picking 2 j and 1 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 39. Let l(f) = -131*f - 3084. Let o be l(-24). Calculate the highest common factor of s and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 38. Suppose -x - x = -4*n + 82, 2 = 2*x. Suppose -n = 4*j + 27. Let d be w(j). Solve -3*b - d = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (7 + (-1 - 2)) - (2 + -11) - 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47811 is divided by 313?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 26 = r, -4*r - 4*q = -q + 28. Let o(y) = -y**2 - 10*y - 5. Give o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -12*y**2 + 4*y + 2. Let r(b) = 13227*b**2 + 16*b - 213. Let c(f) = -r(f) + 4*s(f). Differentiate c(u) wrt u.\nAnswer: -26550*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24743 (base 8) in base 12?\nAnswer: -6257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 7*q + 9. Let x(j) be the third derivative of j**5\/60 + 7*j**4\/24 + 3*j**3\/2 - 5*j**2. Let s(d) = -4*i(d) + 3*x(d). Determine s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-20 - 11) - 7?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = -0*y. Suppose y = 3*i - 10. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156491 is divided by 74732?\nAnswer: 7027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 31572245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25001?\nAnswer: 23, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13229, 13231, 13233?\n\"Answer: 2*o + 13227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/10 and (-1767)\/155*10\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 18*b - 46. What is t(-18)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4. Suppose -3*t - 72 = -5*i - 4*t, 3*i - t - 48 = 0. Is 6 a factor of a + 3*i\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - j + 13 - 3*j**2)*(0*j + j**2 + 0*j).\nAnswer: -3*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 33*c + 141. Give z(-8).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 9 = p - 10, 4*y - 5*p + 41 = 0. Let s = y - -11. Factor -2\/9*t + 4\/9 - 10\/3*t**s.\nAnswer: -2*(3*t - 1)*(5*t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:51 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 15*q**2 - 12*q + 32. Let p be j(-14). Calculate the least common multiple of 15 and 216\/p + 0\/(-8).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1 + 1 - 1. Let p(x) = -x - 5. Let y be p(-3). Suppose -2*j = 3*a - 30, j = 5*j - 4*a - 80. Let h(s) = -s - 9. Determine j*i(f) + y*h(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/((j\/(j*j*j**21*j))\/j)*(j*j**1)**9)**(-11) assuming j is positive.\nAnswer: j**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**2 + 60*s - 73. Calculate f(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 7*x**2 - 7*x - 9. Let w = 10 + -7. Let q be 4\/3*w*2. Let j be r(q). Sort 1, 3, j in ascending order.\nAnswer: j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l**2 + 1128*l - 1286. Calculate y(160).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let u(p) = -5 + c*p - p + p. List the prime factors of u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*f = 8*t + 9*f + 21, t - 2*f + 5 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -29. What is the closest to c in 7, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -10. Let b be 40\/(-30)*3\/y. Suppose 5*w - 285 = 3*f + 150, b*w = -4*f + 174. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55326 (base 8) to base 9\nAnswer: -34807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*o - 12 = -7, -15 = 2*z - o. Let t(m) = -m**2 - 2*m + 5. Give t(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5266\/9 + 584. Let y = 32\/45 + r. Let l = 2.97 + 0.03. Put -9, y, l in increasing order.\nAnswer: -9, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7739389532.\nAnswer: 2, 7, 276406769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - 2.8. Suppose -2*n + 1333 + 133 = 5*d, -3*d + 890 = -4*n. Let x = d + -3824\/13. Sort -1, x, 4\/3, w in decreasing order.\nAnswer: 4\/3, x, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 16*f - 952. Let u be a(40). Solve 0 = 3*z - 7*z + u, -2*h + 12 = 5*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*p*v**2 + 18838*p*v - 2476*v**2 wrt v.\nAnswer: 20*p - 4952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -76*v - 4368. What is the remainder when r(-88) is divided by 179?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.061 in -7\/6, -1, -1\/11, 0.5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r - 38. Give m(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 351 + -342. What is the greatest common divisor of 225 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + 14 - 24) + (20 - 2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + 5*r + 2*r.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 + 48 = -3*c + j, -68 = -c - 3*j. What is the highest common divisor of c and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j, 13*j - 14*j = 2*d - 3544. Is 1768 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7500983.47 less than 83702?\nAnswer: 7584685.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + ((6 - (0 + -34)) + (4 - 8) - 9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 + 23*y**2 + 22*y - 21. Calculate q(-11).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 4*y**3 + 15 + 1.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-162)\/45 + 4 + (-1 - -1). Which is the nearest to 1\/3? (a) -3 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/636, -2\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2884\/11 + 181873\/693. Let l = m - 5\/63. Sort l, 1, 2\/15 in ascending order.\nAnswer: 2\/15, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5552, -5552, -5554, -5558?\nAnswer: -5564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -541, -445, -349, -253, -157, -61?\n\"Answer: 96*n - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.8. Let q = -215 - -211. Which is the second smallest value? (a) q (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(3 - 4 - 1)*(-3 + 2 + 4)*(-5*h + 9*h - 2*h - 2).\nAnswer: 24*h - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aammaa. Give prob of sequence mm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -22*z**5\/25 + 6*z**4\/5 - z**3\/5 - 2*z**2\/5 + z - 8. Factor j(u).\nAnswer: -2*(2*u - 1)**2*(11*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2258224?\nAnswer: 2, 53, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h - 0*h + 32. Let o(r) = -2*r**3 - 7*r**2 + 6*r. Let l(d) = -d**3 - 2*d**2 + 2*d. Determine h*o(k) + 7*l(k).\nAnswer: -3*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 739*q + 1229 - 3446 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/49, 2, -0.14954.\nAnswer: -1, -0.14954, 2\/49, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-199)\/(-1194)*3\/(-18).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11005, 22739, 35203, 48397, 62321?\nAnswer: 76975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, -1, 11, 0, -2, 17 in increasing order.\nAnswer: -2, -1, 0, 11, 17, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 72 - 51)*(-5*z + 3*z + 4*z).\nAnswer: -178*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 4)*(112 - 46 - 55 + 1 - 3 + 1 + (-3 + 3 - 1)*(-1 - 2 + 2))*(2*m + m - m)*(2 + 1 - 6) to s*m + u and give s.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.3 - -9.287. Let t = o + -0.037. Is t at most 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -79, -99, -131, -181, -255?\n\"Answer: -r**3 - 13*r - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 13*i + 8. Suppose 5*o = -5*a - 65, -3*a = 74*o - 69*o + 71. Determine p(o).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2442775 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004274 rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -9946 less than -19891\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2923, -835, -17 in decreasing order.\nAnswer: -17, -835, -2923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 3. Let o be g(-4). Let p = o - 11. Let s(m) = -3 + 2 + 1 - m**p. Let v(h) = h**2. Determine v(s(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1015442 + 702858. Round c to the nearest 10000.\nAnswer: 1720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-22)\/(-15) - 2)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t. Let s(z) = 3*z. Let c(o) = -9*o. Let d(x) = -3*c(x) - 8*s(x). Calculate d(v(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-126))\/(56\/(-336)))\/(4\/(-126))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 4*v**2 + 5*v + 3. Let c be r(5). Solve -5*n + c - 28 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 6*j**2 - 13*j - 2. Let k be s(-6). Let h = k - 52. Let p = h + -15. Calculate the greatest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1248.7 and 0.9.\nAnswer: -1123.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 3*z - 8*z + 8*z. Let n(l) = -l. What is j(n(h))?\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-65))\/((-48)\/208)*(-24)\/424?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -4, -6 in descending order.\nAnswer: 40, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fssb when four letters picked without replacement from fbsdsf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11652858.\nAnswer: 2, 3, 7, 23, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {j: 10, b: 1, k: 3, e: 4, h: 1}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 2*m**3\/51 + 35*m**2\/17 - 72*m\/17 - 128. What is y in w(y) = 0?\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426989.\nAnswer: 17, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 28829835.\nAnswer: -86489505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 t when three letters picked without replacement from daptdtadddta.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -141000 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 5*l**2 - 4*l + 2. Let w be k(5). Let o = 36 + w. Let d = 13 + -8. Solve -a = -d*b + o, 5*a + 3*b = 4*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/2)\/(-1))\/(42\/(-210))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.5273 - -0.5.\nAnswer: 14.0273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*q - 234 = 441 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:36 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -174. What is the remainder when s is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*q + 5, 0 = b - 0*q + 4*q + 11. Let t be 3\/(-3 - (-6)\/4). Put b, t, 3 in descending order.\nAnswer: 3, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (37 - 3)*4\/8. Let y = k - 12. What is the third derivative of -2*v**5 + 7*v**2 + 9*v**y - 9*v**2 wrt v?\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3109716702 to the power of 1\/2, to the nearest integer?\nAnswer: 55765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379088 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 2:15 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5674439408 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -23*v - 10. Let n be w(9). Let g = 4992\/23 + n. Is g less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(7) - -2*sqrt(252))**2 - (sqrt(7) - (2*sqrt(1008))**2) - (0 + (sqrt(7) + 2)*1)*-3).\nAnswer: 8*sqrt(7) + 20884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/462 - (-2)\/44. Let k = 0.5 - 0.53. Let x = k - 10.97. What is the closest to d in -1, 2, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + g - 69 = 0, -4*o + 1466*g + 48 = 1470*g. Let i be -1 + 18\/((-2)\/(-1)). Solve 2*w + 0*w - o = -5*d, w + 2*d = i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.1. Let h = v - -2.3. Let k = -1305\/52 + 101\/4. Sort -4, k, h in decreasing order.\nAnswer: h, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 5. Let h be y(5). Let q = -36 - -46. Suppose h = 5*m - q, 4*d + 4*m - 57 = 55. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 5, 0.1, 2\/123, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)\/(4\/(24\/6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 67999 + -4*5\/(-20). Round x to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l + 4. Suppose 0 = -5*g + 4*g + 2. Let r(i) be the first derivative of -5 + 2*i**2 - 2*i + g + 2. Calculate 2*q(w) + 5*r(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1410*i - 703*i - i**2 - 700*i in the form y + u*i**2 + z*i and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14491.8 - -12188. Round s to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 20*c**2 + 10*c - 19. Let w(m) = 10*m**2 + 5*m - 10. Let p(t) = -2*s(t) + 5*w(t). Is p(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59908.7 plus 0.02212975?\nAnswer: 59908.72212975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5153545 and 1878.\nAnswer: 30921270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 + a - a. Let u(l) be the third derivative of 0 + 0*l**3 + 1\/30*l**5 - 11*l**2 + 0*l**4 + 0*l. Determine y(u(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*a**3*g**2 - 184*a**2 - 12*a*g**2 - 2*a - 85*g**2 wrt a.\nAnswer: 156*a*g**2 - 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-5 - -6) + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 70*a + 67. What is g(71)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3318\/36735)\/(105\/25)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*c**3 - 84*c**3 + 324*c**3 - 82*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -3*n + 1573. Let d = n + -144. Let c(v) be the second derivative of -v**4\/3 + v**3\/6 + v**2\/2 + 7*v. Give c(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268492 + 1073933 + 6*t - 268484 - 268476 - 268481.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 1\/126, -0.09, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15 - (-4 + -2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1791, 5278, 8765?\n\"Answer: 3487*o - 1696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, m: 3}. What is prob of sequence mpm?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 759.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*f - 241*f = 5*c - 514354, 3*f - 5*c - 385783 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 494, 759?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 16 + 4. Suppose -11*j + 60 = n*j. Suppose j*p - 307 = 653. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 505 + -507. Let y(f) = -33*f**3 - f**2 + 2*f. Let a be y(v). Calculate the greatest common divisor of a and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 - 37. Let w(g) = -8*g**2 - 2. Determine w(a(f)).\nAnswer: -392*f**4 - 4144*f**2 - 10954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-88))\/(71\/142)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156987966 to the nearest integer?\nAnswer: 12529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.2584 decades in millennia?\nAnswer: 0.812584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3381 + 3711. Calculate the remainder when q is divided by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Suppose m - 5*m = -3*m. Solve t = -m*z + z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiin when four letters picked without replacement from {i: 5, n: 7}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -34.8. Let n = 281.84 - 289. Let r = 0.16 + n. What is the closest to s in -5, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -84*p**4 + 104332*p**3 - 2259520*p**2 + 97424*p + 214720 = 0. Calculate p.\nAnswer: -2\/7, 1\/3, 22, 1220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6634662?\nAnswer: -6634663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.2, 0.4, -218?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Find i, given that i**2 + 5*i**2 - 4*i**2 - x - 2*i**3 + 2*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 0*x**2 - 16*x**2 - 13*x**2 + x**2.\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.4, -8, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12735 + 2955 = -12*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3 - 93*o**2 + 408*o - 420 = 0?\nAnswer: -35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-5)\/(-3))\/(30\/(-90)). Let j(u) = u**3 + 4*u**2 - 7*u - 6. Calculate j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -0.4, 19, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 5*w - 4*w)*(-w**3 + w - w)*((-3 + 5 - 1)*(3 + 0 - 2) - 5 + 1 - 10)*(3*w + 2 + 2*w - 3*w).\nAnswer: 26*w**5 + 26*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27584, -106786, -237606, -420044, -654100, -939774, -1277066?\nAnswer: -1665976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*w + 26 + 119. What are the prime factors of 110 + (w\/(-1) - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18468 = -14*k + 15650. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1309 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 8*s = 0. What is s?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(18\/(-35 + 215))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.332 - -0.859. Let l = r + -0.526496. What is l rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**2 + h**2 + 4*h**2 - 4*h**2 - 10*h**2.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16507 + -15*(-3)\/9. Suppose -11*q - j = -17*q. Calculate the smallest common multiple of 12 and q\/272 - (-4)\/(-34).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 38. Let u be w + 3\/(30\/(-2006)). Let t = -195 - u. Find the common denominator of 99\/2 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) -28\/79 (c) -0.5 (d) 17 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 2\/15 (c) -0.2 (d) -4 (e) -207394\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 7:37 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 > 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(2*s**4 + 2*s**4 + 0*s**4) + 880*s**4 - 326*s**4 - 196*s**4.\nAnswer: 354*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2211, 2212, 2213, 2214?\n\"Answer: j + 2210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 15) to base 5.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 120*y - 4 + 3.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 31*p + 5307. Calculate the remainder when 1909 is divided by k(-161).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7011303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97503 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -34851.\nAnswer: -34849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -38*r**2 + 17*r + 17. Let z(l) = 13*l**2 - 6*l - 6. Let d(t) = 6*k(t) + 17*z(t). Let p(x) = -10*x. What is p(d(q))?\nAnswer: 70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 149443 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28446 is divided by 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(-2\/3))\/(((o\/((o*o\/((o*(o**9*o*o)\/o)\/o))\/o))\/o)\/o))**(2\/9))**(6\/7) assuming o is positive.\nAnswer: o**(-64\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3\/5 + 39958*z**2\/5 - 79864045*z + 638401000 = 0.\nAnswer: 8, 19975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and -36768611.\nAnswer: -36768610.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*s**4 - 33435*s**3 - 15997*s**2 - 6*s.\nAnswer: 240*s - 200610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 36. Let y = 14 + o. Suppose -50*p + 88 = -9*p - 76. Solve p*m - 3*j = -3, -j = -y*m + 4*j - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*w + 799*w + 3*a - 18 = 0, -13*w + 3*a = 18 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/4)\/t*t*t*t*t*t*t**(2\/15))\/((t\/(t**(-23)*t))\/(t**(1\/4)\/t)))**14 assuming t is positive.\nAnswer: t**(-3857\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -1, 3, 3224?\nAnswer: 3224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28.6? (a) 21 (b) -2 (c) 3\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(9\/(-6)) + 45\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Let x = -1.7297 + 1.3297. Let t = -3\/13 - -22\/39. What is the closest to r in t, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(50)*-5 + 5 + (-4 + sqrt(200) + -4)**2.\nAnswer: -10*sqrt(2) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 50.805. Let q = 0.2 - o. Round q to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1513 and 3341 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-17280)\/3726*6\/(-5))\/(-1). Is s > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006942757822 to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x**3 - 143*x - 4. Let n(m) = -6*m**3 + 153*m + 5. Give -5*a(r) - 4*n(r).\nAnswer: -11*r**3 + 103*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by 748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*o**3\/21 + 22894*o**2 - 175162710*o\/7 + 353292650\/21 = 0. What is o?\nAnswer: 37\/55, 2185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 19*j**5\/20 - 5*j**3 + 9*j - 19. Let d(p) be the first derivative of f(p). What is the second derivative of d(t) wrt t?\nAnswer: 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozottz. What is prob of sequence oz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 - 105. Let l = x - 118.94. What is the third smallest value in l, -3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1453, -2906, -4359, -5812?\n\"Answer: -1453*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.38 - 0.18. Let l = -0.1 + 0.1. What is the nearest to l in -3, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4 = -7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 - (13 - 1322). Suppose -2*j = -5*g - 1310, 0 = -2*j + 7*g - 12*g + m. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 - 3)*(3*h + h - 5*h) + 826 - 826 - 116*h)*(h + 0*h - 6*h).\nAnswer: 570*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/73, -0.5, 0.1, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -308, -1116, -2468, -4358, -6780?\n\"Answer: i**3 - 278*i**2 + 19*i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11*v - 79. Determine b(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.19 - 19.59. Which is the closest to -1? (a) 2 (b) 5 (c) -0.1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1480602, 5922399, 13325394, 23689587, 37014978?\n\"Answer: 1480599*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/5 + 23458768*b**2\/5 + 46917539*b\/5 + 4691754 = 0?\nAnswer: -1, 23458770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*-1*-1 + -1 + (sqrt(931) + -2*(sqrt(931) + 4))**2*-4.\nAnswer: -3981 - 436*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17950 and 5710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 328 + -324. Which is the third smallest value? (a) r (b) -3 (c) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s + 16*s + 375. Let k be (-9)\/s*(7 + 4 + -6). Sort -11, k, -3, 2 in decreasing order.\nAnswer: k, 2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/75)\/((-9)\/(-15)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9311 = 20*o - 9751 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9*j + 9*j = b + 7, -j + 2*b = 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10*o = -9*o + 1174, 0 = -2*s - 5*o + 794. What is the remainder when s is divided by 101?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h. Let i(r) = -239689*r**2. Calculate i(p(d)).\nAnswer: -958756*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556411163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -722\/1061 + 1005383\/44562. Let m = c + -121\/6. Suppose 9\/7*q**3 + 15\/7*q**4 - m*q**5 + 3\/7*q + 0 - 15\/7*q**2 = 0. What is q?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 3*p + 18, 15 = 4*y - p. Solve 0 = 6*h - y*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 - 113. Let w = 54.92 - i. Let r = 0.08 + w. Is -1\/3 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -13*y**8\/28 + 19*y**4\/6 + 24*y. Find the third derivative of i(o) wrt o.\nAnswer: -3120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -761*d - 773*d + 1544*d - 51 wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432598 is divided by 108148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n. Let l(v) = -15*v + 2. Let i(o) = -o + 2. Suppose -12*j - j + 13 = 0. Let m(f) = j*l(f) - i(f). Give m(b(h)).\nAnswer: -70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6866 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s**3 + 8703*s**2 + 7013205*s - 350682 = 0 for s.\nAnswer: -277, 1\/20, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((7 - 3 + 1)*(2*j - 2*j + j) + 3 - 2*j - 3)*(j + 2 - 4 + 0) + 49*j**2 + 24*j**2 + 20*j**2 as d*j**2 + f*j + t and give d.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttmtxttmxxttxxx. What is prob of sequence mxxt?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.289*12\nAnswer: 3.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/2*(0 - -1). What is the closest to 0.1 in z, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20490\/(-37565) - (12*34)\/((-99)\/(-12))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 428, 451, 502, 593, 736, 943, 1226, 1597?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -49. Let b be (29 - u) + -1 + 2. Let q be (0 - 1) + 0 + -1. What is the closest to 5 in 0.2, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 127666.\nAnswer: 255332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2431.94 + 2432. Which is the closest to -0.1? (a) 0.5 (b) -1\/36 (c) -3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/5 - 2022*v**2 + 60696*v\/5 = 0 for v.\nAnswer: -10116, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*x + 29, -33*q - 3*x - 27 = -29*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 4)*(-5)\/(-5). Let r be (-68)\/k + (-10)\/25. What is the common denominator of -67\/6 and (-60)\/r*(-6)\/(-24)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 12. Let g(k) be the second derivative of k**3\/6 + 5*k**2\/2 - 3*k + 1. Calculate 12*g(u) + 5*l(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - -18. Suppose -5*m - g + t = -0, -3*g = -m + 15. Does m = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, b: 6, s: 4}. What is prob of sequence bbe?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 7, k: 3, q: 3}. What is prob of picking 1 c, 1 k, and 1 e?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1\/1801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9039 and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(250)\/sqrt(45)*3)\/(sqrt(30)\/sqrt(27)*6).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1707 or -1584?\nAnswer: -1584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d)\/(d*d**(3\/10)\/d))\/(d**3*d*d**(-28)) assuming d is positive.\nAnswer: d**(197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-200)*5*3\/105.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (31\/(-12) - 4\/(-16))*-3. Suppose -4 - 38 = -b*f. Suppose -3*x = -x - 4. Solve x*d = 5*d - f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((44 - 44 + 26*w)*(1 + 2 - 2) - 5*w + 2*w + w)*(-3*w + 3*w + w) + (-2*w - 2*w + 2*w)*(2*w + w - w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6135 + -699413\/114. Calculate the common denominator of 59\/380 and a.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)*t)**(-36)\/(t**(1\/3)*t**(1\/5)) assuming t is positive.\nAnswer: t**(-4916\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11993 is divided by 458.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 44*d**2 + 92*d - 2. Calculate j(46).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:07 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 232, 804, 1918, 3754?\nAnswer: 6492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.9? (a) -0.3 (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2fdc3 + 1?\nAnswer: 2fdc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 857, 858, 859, 860, 861, 862?\n\"Answer: k + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjjffjn. Give prob of sequence ffn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -798, -3295, -7488, -13377, -20962?\n\"Answer: -848*s**2 + 47*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/35 and -2\/305.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 480 = 4*o, 0*u + 2*o = -4*u - 384. What is the units digit of (2*(-15)\/10)\/(9\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2522?\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 206719 (base 10) in base 9?\nAnswer: 344507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/4 - 25*s**4\/2 + 58*s**3 - 159*s**2\/2 + 135*s\/4 = 0. What is s?\nAnswer: 0, 1, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.65 and 114.\nAnswer: 113.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25805 + 0.25805. Which is the third biggest value? (a) v (b) 0.5 (c) -170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.348 rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192155.9 + 39397.1. Let v = 231507.9958 - t. Let w = -45 - v. Round w to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 137 = 343. Let h = 49 + n. What is the closest to h in 0.2, -0.5, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-980))\/((-1)\/25).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43\/462 - 91\/66. Let j be 6\/(-15)*(-15)\/(-21). What is the fourth smallest value in s, -1\/4, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*g**2 - 183*g**2 - 665*g - 42*g**3 + 377*g**2 + 48*g**3 + 665*g.\nAnswer: 6*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500494779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -696 (base 11) to base 10\nAnswer: -831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w - 5*w + 4*w + 4 + 4*w**2. Is q(4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 8. Calculate b(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3824 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -4\/5*b**2 + 98 + 0*b + 4\/5*b**5 - 1\/5*b**4 - 4\/3*b**3 + 2\/5*b**6. What is x in t(x) = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -10510?\nAnswer: 10514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113106, -113303, -113502, -113703, -113906, -114111, -114318?\nAnswer: -114527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 18*w - 6. Determine c(16).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011592661 rounded to 7 dps?\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**3 - 10*g**2 + 8*g - 18. Calculate the remainder when p(-8) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from {x: 6, f: 1, h: 1, w: 3, p: 6}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 + -69. Suppose 5*f - 128 = -5*m + 12, 4*m = -12. Let j = f + t. What are the prime factors of j?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2 + -4)\/(-30))\/(6\/172230).\nAnswer: 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146104 (base 7) to base 4.\nAnswer: 12331222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, -51, -5, 0 in ascending order.\nAnswer: -51, -16, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - h - 300 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 1 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*q - 2*m, 0 = 3*q + 5*m - m - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - w**3 + 4329*w + 4*w**2 - 3 - 4336*w + 6 to d*w + p + l*w**3 + t*w**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgx when three letters picked without replacement from gqsassxaasgsss?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -2.59?\nAnswer: -1.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.8 + 11.2. Let f = 24 - q. Let z = -5 + f. What is the closest to 0.2 in z, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*l**3 + 145*l**3 - 17*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 99.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from qsiq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 1225?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273 + -275. Suppose 7 = -3*d - 8. Sort d, o, -16, 2 in decreasing order.\nAnswer: 2, o, d, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 + 5c253?\nAnswer: 5c223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 60.26. Let j = h + -3.06. Let r = 2 + -1.98. Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13280b - -3?\nAnswer: -132808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(1 + 8\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181.22 + 33. Let l = t + 0.78. Let c = l - 214.999877. Round c to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699.57 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 132*f**4 + 343455*f**3 + 223399908*f**2 - 15249021*f - 10155606 = 0.\nAnswer: -1301, -2\/11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499424074.\nAnswer: 2, 749712037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9723 - -9722. Put 2, -462\/13, o in descending order.\nAnswer: 2, o, -462\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 16. What is the common denominator of 17\/(-40) - 305\/(-122) and ((-1)\/(-8))\/(l\/(-132))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 - -15530868?\nAnswer: 15531013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*v + 5*v - 6*v)*(-25*v**2 - 11*v**2 + 3*v**2 + (-4 + 0 + 2)*(4*v**2 - 4*v**2 + 2*v**2)) in the form r*v**3 + x + y*v**2 + w*v and give r.\nAnswer: -1887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.063971 millilitres?\nAnswer: 0.008063971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 166213680 to the nearest 10000.\nAnswer: 166210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 122 + 974 = 0. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15163 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4280 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/450 - 61*k**4\/18 + 203*k**3\/15 + 3*k**2 - 3*k + 43. Suppose l(x) = 0. What is x?\nAnswer: 1, 609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiibiiibbbbi. What is prob of picking 4 i?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5451979 is divided by 430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 2, w: 3, d: 4}. Give prob of sequence ddvw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**5 - 7*b**4 + 7*b - 1 wrt b?\nAnswer: 60*b**3 - 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 2. Let t be x(-1). Suppose 4*m = -4 + 16. Let b(l) = -581*l + 14527. Let u be b(25). What is the nearest to 0.2 in t, m, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**7\/14 - 11*q**6\/30 - q**4\/12 - 29*q**2 + 131*q. Find the third derivative of l(w) wrt w.\nAnswer: -180*w**2 - 264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25644.286 to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/(-8)*24\/(-60)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.13227 (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = f + 341*r - 345*r, -3*f = r - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-8)*m)\/m)\/m)\/(m\/m**(1\/12)*m) assuming m is positive.\nAnswer: m**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c - 53*c - 69 = 0. Let f be 1\/c - 2884\/(-309). Let r(p) = 1. Let v(h) = h - 4. Determine f*r(l) + 2*v(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 3:56 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 17881830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -392624*a + 392625*a - 8*l + 20, -3*a - 4 = 4*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-16))\/(3\/24). Suppose -z = -0*z + y*g - 7, 5*z + 2*g = -17. Suppose j - 2*j + 2 = 0. Sort j, z, -1 in increasing order.\nAnswer: z, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612171 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -3, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67680902 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-52)\/10)*16\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 132*p**2 + 801*p\/2.\nAnswer: -p*(p - 3)*(p + 267)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*x = 20, -3*x - 15 = 5*q - 0*x. Let z be (-22 - (-6456)\/288)*2013\/140 - 6. Are q and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-115)\/15 + (-4)\/3. Is 0 - -48 - (-36)\/d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132544.4 rounded to the nearest ten thousand?\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679 a factor of 25428455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -29. Let r = 0.12535 + -0.12535. Which is the closest to r? (a) -1 (b) 0.2 (c) p (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - ((sqrt(84) - (sqrt(84) - sqrt(84)*5))*-2 + sqrt(84)))*-3)\/(4*2*sqrt(12) - (sqrt(12) - (sqrt(96) - 1*sqrt(96))\/sqrt(8))) + -1.\nAnswer: -30*sqrt(7)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Let y be (14 - -1) + c + -3. Calculate the highest common factor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11591 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133637989 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r - 93*r + 64*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/11 - -1)\/((-8835)\/(-165) + -53).\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 1. Let q(l) = 3*l - 31 - 60*l - 57*l. Let i(f) = -q(f) + 6*z(f). Is i(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f + 35. Let z be p(-5). Let q be 1*(-5)\/1*(-12)\/z. Sort -2, q, -1, 1\/5 in decreasing order.\nAnswer: 1\/5, -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 + -53461?\nAnswer: -53484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 minus -206179374?\nAnswer: 206179890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181 divided by 10?\nAnswer: 2181\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**2 + 3*o + 3. Let i(k) = 2*k**3 + 49*k**2 - 30*k - 127. Let j be i(-25). Give u(j).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z + 3*a - 14386, 0 = z + 3*a - 7199. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 less than 526249733708?\nAnswer: 526249733325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 5*d + w, -5*w + 65 = -0*d - 5*d. Let p be 6*((-2)\/6 + 1). Calculate the remainder when p\/d + (-345)\/(-7) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -853439 less than -853436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**4\/4 + 2*r**3\/3 + 2*r. Let z(j) = j**2 + 4. Let o(y) = -2*y**2 - 12. Let w(q) = 2*o(q) + 6*z(q). Give w(s(b)).\nAnswer: 18*b**4 - 48*b**3 + 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + d. Let u(q) = -17*q**2 - 16*q**2 + 8*q**2 + 19*q - 59*q. Let f(j) = -2*l(j) - u(j). What is the second derivative of f(m) wrt m?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 2\/7 (c) -1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/28*(-104)\/(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4 - 2788*a**3 - 2764*a**2 + 13908*a - 8352 = 0 for a.\nAnswer: -696, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -917, -0.5, -3, 0.3, 0.5 in ascending order.\nAnswer: -917, -3, -0.5, 0.1, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u + 7*x - 2*x, -18 = -3*u - 3*x. Suppose -n - 9 = -u*n. Find the first derivative of 3 + z**n + 0 + 0 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:39 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 167. Suppose -j = 35*w - 37*w. List the prime factors of w.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*4.74192.\nAnswer: -23.7096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661487 is divided by 122.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -560543.707 - -3.434?\nAnswer: -560540.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 s when four letters picked without replacement from vbvsblbllbbbsvmv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-2230)\/(-165) + 30\/110*6\/(-9).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 162273459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*o - 13*o - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2142441 (base 6) to base 10\nAnswer: -106873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 3, t: 1, x: 1}. What is prob of picking 2 r and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w - 14 - 26. Which is bigger: 0.61 or w?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 26*y + 189*y**2 - 4*y - 16*y + 173*y**2.\nAnswer: 362*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-42))\/(32\/112)*(-88)\/24.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 12*p**2 + 12*p - 10. Let j be t(11). Suppose 10*f - 6 + 6 - f**2 - 24 - j = 0. What is f?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 155, 126, 93, 56, 15?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - 3*b + 5. Let j(a) = a**2 + 26*a - 271. Let p be j(8). Let z(w) = w + 1. What is p*n(q) + 3*z(q)?\nAnswer: 3*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8\/(o**16\/o)*(o*o*o\/((o*o\/(o**(-4)\/o))\/o))**1 assuming o is positive.\nAnswer: o**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:48 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482113, -482093, -482073, -482053, -482033, -482013?\nAnswer: -481993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1222887, 2445736, 3668585, 4891434, 6114283, 7337132?\nAnswer: 8559981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*k = -36, -4*n = 17*k - 15*k - 116. Calculate the remainder when 688 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566875480 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-5)\/(-9)*5706\/3170.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.009 + -0.009. Let p = -232 - -272.5. Let b = p - v. What is b rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 646652 - 878799748\/1359. Let y = -77763\/151 - -515. Let r = y - h. Which is the third smallest value? (a) 1\/5 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((-6)\/(-36)). Let s(r) = 12*r**2 - 3*r**z - r**2. Let u(x) = -2*x. What is s(u(i))?\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736601?\nAnswer: 211, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -404*r + 308. Let i(u) = -u. Let t(v) = 5*i(v) + y(v). What is the first derivative of t(s) wrt s?\nAnswer: -409","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17054988 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0 - 5*j**2 + 1\/3*j**3 - 14*j. Let l be q(7). Solve a + 5*u - 4 = 2*u, -3 = a - l*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9)\/(10\/(-90)). Suppose -5*t + 6*t - 860 = f, 0 = d*f - 15. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1068)\/(-891) + 8\/16*(-8)\/(-54). Factor y*i + 16\/11 - 2\/11*i**2.\nAnswer: -2*(i - 8)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185 divided by -24?\nAnswer: -395\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -439\/410934 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.2, -0.1, -0.2, 4\/7, -2\/11?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47a (base 14) to base 9.\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.675957672 less than -0.52?\nAnswer: 0.155957672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-115)\/7 - 18\/(-42). Does 13 divide 8\/h - 79\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181.56951 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Suppose -5*f = u + 2, -4*u = -f - u + 6. Let l = 6 + -4. Let r(h) = 0 - l*h + f. Give z(r(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*sqrt(136) + sqrt(136))*-3*-5)\/(sqrt(40)\/(sqrt(180)*-1)).\nAnswer: -4 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 26*r + 153. Let n be o(-6). Let z(w) = -6*w**3 - 3*w**2 + 3*w - 4. Let f(v) = -5*v**3 - 2*v**2 + 2*v - 3. Calculate n*f(j) + 2*z(j).\nAnswer: 3*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 483 + -240. Let j be (12\/10)\/((-3)\/(-10)). Suppose -i = w - j*w. What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 970230 and 1920.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 10 - 4 = -5*q, 16 = -5*r + q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 5*u**2 - 3*u + 1. Let s(f) = f**2 + 6*f + 7. Let b be s(-5). What is the remainder when b\/(-2)*-4 - -42 is divided by a(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqcccdcccccrcjcrjccc. Give prob of picking 3 c.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = 2*s, 4*s - 38 = -0*q - 3*q. Suppose 0 = -i, 5*l + q*i = 7*i + 2805. What is the highest common divisor of 33 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*i + 27067 - 27312 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 206083.12204?\nAnswer: 206083.52204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*b + 17 = 0, -18 = -4*c - 5*b + 11. Solve 3*y = c - 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2412 plus 330464842?\nAnswer: 330464839.7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**2 - s**2 + s**2. Let d(r) = -r**2. Calculate d(n(o)).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = -1. Suppose 3 = f - 11. What is the lowest common multiple of z and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -2443333003?\nAnswer: -2443333011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -9. Suppose -9*h + 32 = -13. Sort -4, h, o in decreasing order.\nAnswer: h, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 778086 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -102*d**2 + 56. Let z(j) = j**2 + 2. Let r(x) = q(x) - 3*z(x). What is the first derivative of r(u) wrt u?\nAnswer: -210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 152.8907668 to the nearest integer.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/(4\/84). Suppose -649 = -42*z - 586 + 2289. What is the highest common factor of z and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -196*f**5 + 641*f**3 - 641*f**3 + 0*f**5 + 0*f**5 + f**5 - f**5 - 2*f**5 + f**5 + 2*f**5 + 3*f - 3*f + (0 + 4 - 2)*(4*f**5 + 3*f**5 - 5*f**5).\nAnswer: -191*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 - 6*a**2 - 69*a**3 + a**2 in the form n*a + g*a**3 + t + c*a**2 and give g.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 12231?\nAnswer: 12213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + b. Let k(p) be the first derivative of 15*p - 2668. Calculate 2*d(v) + k(v).\nAnswer: 2*v**2 + 2*v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 + 2*d**4 - 2*d**4 + 0*d**5 - 5*d**5 + 2*d**5 + (-d**2 + d**2 - 2*d**3)*(-10 + 3*d**2 + 10).\nAnswer: -14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 31.3. Round k to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 337 (c) 5\/3 (d) -87 (e) 0.2 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and 11.185.\nAnswer: -1.90145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 9667.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1741, 14868, 50517, 119950, 234429, 405216?\n\"Answer: 1877*f**3 - f**2 - 9*f - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 94 - 54. Is k smaller than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(1210)*5 - ((2*sqrt(1210) - sqrt(1210))*4 + sqrt(1210)))\/((sqrt(24)\/sqrt(2)*5)\/(sqrt(6) + 1*sqrt(294))).\nAnswer: 3 + 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3, 32 = h + 3*h - 4*c. Suppose 0 = n + 2, 2*y + 10 = -h*n + 2*n. Which is smaller: y or -1\/686?\nAnswer: -1\/686","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*v - 7 = 0, 5 = -x + 3*v - 0. Let s(d) = -2*d**2 - 4*d + 3. Let r(k) = k - 1. Calculate x*r(j) + s(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 5 - (-30 + 21)) + -2 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27585 + -7769. What are the prime factors of q?\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 0. Let p = -1 + y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.6504 minutes in microseconds?\nAnswer: 25299024000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, q: 2, j: 3, o: 1, d: 2, p: 4}. What is prob of picking 1 d and 1 o?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(11) + sqrt(99)) + 4*(sqrt(3) + 1))**2.\nAnswer: 34*sqrt(3) + 1123\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 3)*(100\/500 + (-176)\/(-20))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -9 + (-1)\/(-1). Let k be ((-4)\/p)\/(2\/10). Suppose -11 = -i - k*a, 6*i - 4*a + 1 = i. Solve 2*s - i = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 149 + -145. Suppose -k = -3*k + 6. Solve -y = -4*y + k, -c*z = -y - 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.11 from 45900086495.07.\nAnswer: 45900086495.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -8 - (4 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l - 20 = -79*l. Solve 2*u + l*c + 29 = -c, -4*u + 5*c = -17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5627 is divided by 312.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r)**(2\/115)*(r*r**0*r)**8)**(3\/14) assuming r is positive.\nAnswer: r**(2766\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*x + 6 + 5 = 0, -5*i - 3*x = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -20*f - 195. Let j(i) = 13*i + 131. Let y(n) = 5*h(n) + 7*j(n). Let b be y(-7). Sort b, -3, 111, -2 in descending order.\nAnswer: 111, b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.3809 - -6137.1809. Let w = n - 6131.743953. Let l = w - 0.056. Round l to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/12 + 5*o**4\/8 + 25*o**3\/3 + 7*o**2\/2 - 124*o. Let b(c) be the first derivative of w(c). Suppose b(z) = 0. What is z?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 704483, 1408969, 2113455, 2817941, 3522427?\n\"Answer: 704486*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -25*z - 3. What is m(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13909, 13915, 13925, 13939, 13957, 13979?\nAnswer: 14005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 0. Suppose 5*p - x = p. What is the units digit of 16\/p - 10\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*-2)\/((sqrt(36) - sqrt(9))*2).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/3 - -2)*24\/10. Let d = 19 + m. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*t**3*v**2*y + 77510*t**3*v*y - 2*t**2*v**2 + 5*t**2 + 2*t*v*y + t - 16*v**2*y - 13*v*y wrt t.\nAnswer: 42*v**2*y + 465060*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1392010 to the nearest ten thousand.\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 23 = 7. Let v be a\/56 + 173\/7. Let t = v - -15. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**22)\/k)**(-36)*k**47*k\/k**12 assuming k is positive.\nAnswer: k**(-756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*a**3 + 326*a**3 - 48*a**3.\nAnswer: 358*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 14*v**2 - 1290*v**3 - v**2 + 15*v**2 - 5*v + 14*v.\nAnswer: -1290*v**3 + 9*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 3545 = 8735. Let d = -31 - i. Calculate the remainder when d is divided by 1\/1 + 2 + 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 15, 4, -23, -72, -149, -260?\n\"Answer: -y**3 + y**2 + 3*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7657 = -0*v + v, 3*v - 3*g = 22995. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 298\/30375?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k**2 - 17*k - 50. Let u(z) = 8*z**2 + 11*z + 35. Let o(q) = -7*u(q) - 5*x(q). Calculate o(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -303, -575, -991, -1599, -2447, -3583, -5055?\nAnswer: -6911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 15241*q - 8900*q + 3325*q. Let w(s) = 2*s. What is w(t(b))?\nAnswer: 19332*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014134 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9936795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 530 - 502. Suppose 22*w - 30 = h*w. Let i(j) = -j**2 - j + 5. Determine i(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 1 u when three letters picked without replacement from uufaddo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/((-2520)\/312))\/(2\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69706 - -69706.0124908. What is k rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001010110 (base 2) in base 4?\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 7*h**2 + 3*h - 7. What is the lowest common multiple of 2 and p(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 61*p + 904. Determine r(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -366*f + 581. Determine s(2).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 + 129. Let h = 2055 + -4422. Is n\/35 - h\/21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (2 + sqrt(17))*6).\nAnswer: 16 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*r = 34, 16 = -5*y + 3*y - r. Let b = y + 10. Solve 3*g = 2*g - b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10556 (base 13) to base 9.\nAnswer: -44382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (720\/27 + -20)\/(5 + -3)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 11) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8533153, 17066308, 25599463, 34132618, 42665773, 51198928?\n\"Answer: 8533155*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/9 + 16625984*m**2\/9 = 0. What is m?\nAnswer: -8312992, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 10*q**2 - 6*q - 14. Determine y(-10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1683*b + 3*n - 49 = -1678*b - 177, 5*b - 72 = 17*n for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136664 + -124000?\nAnswer: 12664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/3))\/w)\/((w*(w**0*w)\/w)\/w)*w**(-3\/2)*w**1*w**(-8)*w*w\/w**(-7)*(w**2)**6 assuming w is positive.\nAnswer: w**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/153 and 133\/170?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 - 4*l - 12. Let a be s(-6). Let x = -14 - a. What is the derivative of 16 + 2 + x*o**2 + 19*o**2 - 5*o**2 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 114, 90, 42, -36, -150?\n\"Answer: -o**3 - 6*o**2 + o + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1837?\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-6))\/(30\/(-27)*31))\/(6559\/65590)?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/8*(3 - -1). What is the second derivative of 3*d**m + d + 3*d + 6*d wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x + 6 = 0. Let v be (3\/(-4))\/(x\/12). Suppose v*k - 22 = 8. Calculate the lowest common multiple of 8 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8\/7))**(-1\/19) assuming p is positive.\nAnswer: p**(8\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -723, -722, -721, -720?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 2}. What is prob of picking 3 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*w + 2*n, 3*w + 3*n = 2*w + 4. What is the least common multiple of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0 + 17\/6*g**5 + 0*g + 15\/8*g**4 + 1\/3*g**3 + 85*g**2. What is the second derivative of a(k) wrt k?\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/8 - 789*m**2\/2 - 3159*m\/2 - 1580.\nAnswer: (m - 3160)*(m + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -309861, -2 in descending order.\nAnswer: -2, -5, -309861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*n + 76, -s - 3*s + n = -266. What is the least common multiple of s and 23?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2503188 - 120)*1\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**5 - 5*z**3 + z**2 - 5*z. Let o(n) = -2*n**5 + 3*n**3 + 3*n. Let s(q) = -5*o(q) - 3*y(q). Find the third derivative of s(h) wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -225, -505, -897, -1401, -2017, -2745?\n\"Answer: -56*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*z - 39, -6*z + 4*z = 5*r - 47. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5*w, 4*w = -4*m + 136 - 168 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 285146207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 76636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 445192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -281*i**2 + 195*i**2 + 120*i**2. Let z(u) = -3*u. Determine d(z(t)).\nAnswer: 306*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 7702867?\nAnswer: -7702880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 32. What is the third derivative of -4*g**6 + 31*g - 3*g**2 - z*g wrt g?\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 4113 + 5298 + 2744. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.642801kg?\nAnswer: 1642801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.1207, 1467, 1\/2?\nAnswer: 1467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32998, -32999, -33000, -33001, -33002, -33003?\nAnswer: -33004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -199816 rounded to the nearest one thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 13*p + 2. Let g be o(-2). Let j = 27 + g. Suppose 2*m - 5 = m, -j*m = -5*y + 170. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42856636, -42856617, -42856598, -42856579, -42856560?\n\"Answer: 19*r - 42856655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15111.\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6*(-6)\/1. Suppose -b*f + 5*i - 61 = 0, 5*i = -0*f - 2*f - 51. Let r = 44 + f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, e: 1, u: 2, o: 4, r: 1, g: 3}. Give prob of sequence rh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/128831? (a) -18 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 4, e: 7}. Give prob of sequence qnen.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4038 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + -17. Let m = -36 - v. Put -2, m, -3\/2, -2\/3 in increasing order.\nAnswer: -2, -3\/2, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 2.8003785?\nAnswer: 1.1996215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 281455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 780 - 43?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/14240718 and 16\/2961.\nAnswer: 99685026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3. Let z be (-24)\/(-3) + (3 - 3). Let p(m) = m**3 - 9*m**2 + 10*m + 7. Let j be p(z). Let k(d) = d - 23 + j. What is 2*k(i) + y(i)?\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(-5*x**5 + 2*x**5 + x**5) + 2108*x**3 - 2108*x**3 - 315*x**5 - 3*x**3 + 8*x**3 + 3*x**5 - 4*x**5.\nAnswer: -320*x**5 + 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29615\/232 - -35\/232. Let u = -82 - r. What is the common denominator of 77\/6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -10. Let b be ((-96)\/112)\/(2\/a). Solve b*x - 1 = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 49143*z - 49145*z + 10, -3*z = -5*r + 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773*d - 1481*d + 3 + 710*d.\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 8*n**2 + 189325 - 189325 - 20*n**2 + 9*n**2 + 0*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 11:21 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443*c - 2*c**3 - 222*c - 221*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 - n + 7. Let u(y) = 4*y**2 + y - 6. Suppose 38*h = 240 + 2 - 14. Give h*u(x) + 5*l(x).\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/4 + 40*m - 1600 = 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shhs when four letters picked without replacement from {s: 3, h: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2627474911 to the nearest integer?\nAnswer: 51259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6901107582 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 1 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 99 = -7*g. Is g a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y - 68*y + 11*y + 30*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c - 43. Let n be p(-7). Suppose 3*b = n*b + 30. Let t(i) = -6*i**3 - i**2 - 13*i - 4. What is the units digit of t(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19574 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 2*a**5 - 2*a**5 + (125 - 251 + 123)*(-3*a**2 - 4*a**5 + 3*a**2).\nAnswer: 11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 5*x**3 - x**2 - 63*x. Let q(h) = h**2. Determine q(b(y)).\nAnswer: 900*y**2 - 120*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9 - 2 + 12*c - 11*c. Let r be z(15). Sort 0, -5, -9, r in descending order.\nAnswer: r, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 4. Let t be w(4). Let a = 30 - t. What is the least common multiple of 0 + 1 - 114\/(-6) and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyykykyyykkyy. What is prob of sequence yy?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34020 is divided by 3780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 130*h + 1358. Determine m(-9).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(22)*-2*-1)\/((sqrt(12)\/sqrt(2))\/sqrt(3)).\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - -288. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -6. Suppose 3 + 2 = a. What is the remainder when ((-6)\/t)\/((-4)\/(-12)) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbymbmymm. Give prob of picking 1 m and 1 b.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79.7 + 88. Let j = s - 8.8. Let l = -0.1 - -1.1. Which is the closest to l? (a) 0.1 (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3948 - -3953. Solve -d*u = 5*j - 35, -246*j + 10 = -242*j - 5*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - z = -8, z - 4 = -5*c + 4*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 1. Let y(j) = -1. Suppose v - 10 = -v - 3*r, -4*v = r. Let p(q) = v*x(q) - y(q). Let k(b) = -124*b**2. What is k(p(a))?\nAnswer: -124*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l - 6 = 0. Suppose l*v + 0*v = 8. Suppose -172 = -v*x + 5*x. What is x rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 112*u**2 - 1890*u + 4824. What is q(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + -51 + (-1 - 40) - (-8 + -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66094 + 887?\nAnswer: 66970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63872\/5 - 12774. Sort -0.528, g, 1\/7.\nAnswer: -0.528, 1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -r + 3*x, 0 = 5*r - x - 160 + 140 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 7*a**2 - a + 8. Suppose 2*v + 35 = -3*v. Let w be x(v). Suppose d = 4*d - w. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51832*z - 1334 = 51890*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62354 - 62354 + 29*s**3.\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + a - 2. Let n be s(2). Let i be -5*16\/20*-1. Solve -5*x = -4*h + 31, n*h + 5*x = x + i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 - 126. Let m be (c\/(-2))\/(108\/72). Solve -m*v = -1 - 24 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 12 + -5 + (8 - 3) + -29.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + 620*v - 1398. Calculate b(205).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*j - 8 = -260*j + z, 2*j - 12 = 2*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3436*g + 6889. Determine r(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 26*f + 2. Let q(g) = -1170*g - 91. Calculate -91*b(p) - 2*q(p).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 bigger than 0.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.88931 * -5.31.\nAnswer: -4.7222361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((z - 2*z + 3*z)*(-1 + 0 + 0) + 0*z + 4*z - z + 3*z - 4*z - z)*(-5 + 4 + 8) in the form m + y*z and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 5:01 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5429 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 16. Let p be u(-13). Solve -3*v - 6 = -p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -6 - 10. Let a = z - -7. Let f = a + 2. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 798\/15 - 4\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (-3*(sqrt(78) + 3*sqrt(78)) + sqrt(78))) + (sqrt(78) - -1*sqrt(78)*-5))\/(sqrt(6)*-3*2 + sqrt(150)*6))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 8 + 40. Let b = t - -27. Suppose b*f - 1211 = -4*c, 3*f + 0*c - c - 1186 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/9 + (-4)\/(-36). Which is the biggest value? (a) -4 (b) -1\/5 (c) 1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 1622.\nAnswer: 1621.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -5 - 1\/2*p**4 + 8\/3*p**3 + 0*p**2 + 0*p. Find the third derivative of v(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3008869, -6017744, -9026621, -12035500, -15044381?\nAnswer: -18053264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -2\/9, -2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 179360902 + -3?\nAnswer: 179360899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 916 and 2290?\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) 2\/13 (c) 56.21 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/15 (b) 0 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 0*p + p)*(2*p + 1 - 1 + (-2 - 1 + 1)*(-9*p + 223*p - 911*p)).\nAnswer: -6980*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.32637 litres to millilitres.\nAnswer: 34326.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*r**5 + 3*r**4 - 6*r**3 + 5588*r**2.\nAnswer: -1260*r**2 + 72*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -149*y**2 + 4*y + 3. Let c(m) = 300*m**2 - 7*m - 5. Give -3*c(z) - 5*i(z).\nAnswer: -155*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 26*f - 65. What is q(-29)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/446130 and 131\/12?\nAnswer: 892260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 - 3*f**2 + 7*f - 50. Let w(m) = m**3 - m**2 + 2*m - 17. Let o(v) = 2*s(v) - 7*w(v). Calculate the remainder when o(0) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 101*m + 5206. Calculate r(-52).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28139 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/5992 and -71\/150549.\nAnswer: 1204392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*t + 77 = 287. Let v be -12 - -6 - (15 - 3)\/t. Let j = 0 + 0.1. What is the closest to j in v, -6\/7, -1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 274 - 6?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3610575 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -22, -59, -122, -217?\n\"Answer: -b**3 - 4*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-15))\/((2\/(-15))\/(564\/(-7614)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 - 4 - 15*q**3 + 18*q**3 + q**4 + 5 to k*q + p*q**3 + x*q**2 + b + w*q**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1550)\/(-85) + (-4696)\/19958\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 9:54 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1, 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:41 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/2 + 14*l. Let g(c) = 2*c + 2*c + 0*c. Calculate g(y(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28790 is divided by 607?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(18)\/sqrt(3)) + (sqrt(1216) + 0 - sqrt(19)) + 2.\nAnswer: 2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 15*m**2 + 15 - 3*m**2 + 2*m**2 + 2*m**2 + (m**2 + 0*m + 0*m)*(1 + 1 - 1) + m**2 + 0*m**2 + 3*m**2 as n*m**2 + q + l*m and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1807*t - 132 + 132 - 336*t + (0 + 0 - t)*(2 + 0 + 1).\nAnswer: 1468*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -8, -6, 1.\nAnswer: -8, -6, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (4 - 2 - 3). Suppose s*t = -t - 27. Let g(d) = -d - 14. Let q be g(t). What is the second biggest value in -0.3, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26820.\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, c: 1, a: 1, f: 3, e: 3, q: 5}. Give prob of sequence feaq.\nAnswer: 3\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34496 and 2508198?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r - 2. Let w be u(-3). Suppose c + 6 = m, -c = m + 2*c + w. What is the second derivative of -2 + 2 + k**4 - m*k wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 874*a = 868*a + 18912. List the prime factors of a.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-2\/5)*d**(-6)*d**(1\/5)*d*d*d**4*d assuming d is positive.\nAnswer: d**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230a (base 13) to base 8.\nAnswer: -11457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*u**3 + 54*u**3 - 110*u**3 - 2*u**3.\nAnswer: -149*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -29*o**2. Let m(w) = 365*w + 4. Let f(p) = -5754*p - 63. Let a(h) = -4*f(h) - 63*m(h). Calculate t(a(z)).\nAnswer: -12789*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*g**2 + 40*g**2 - 75*g**2 to the form n + h*g + t*g**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4490\/(-5)*-2 + 12\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u + u + (0 + 1 - 5)*(-1 - 2 - 1)*(1 - 1 - 2*u).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/3 + 9254930*z**2 - 55529588*z\/3 = 0.\nAnswer: -13882397, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1442\/9951?\nAnswer: -1442\/9951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f51a - -6?\nAnswer: 2f520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 m when four letters picked without replacement from fwwwcwwmvwmwwwmmvw.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n - 26. Let b(q) = 11*q - 39. Let a(l) = 5*b(l) - 8*o(l). Let j be a(7). Calculate the remainder when 30 is divided by ((-4)\/j)\/((-8)\/84).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*m - 252 = -330, -199 = -3*u - 5*m. Calculate the greatest common factor of 3886 and u.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 17. Let k be b(6). Suppose 0*d - 2*u = -k*d - 13, -2*d = u - 2. Let z be 15760\/6*(-76 - d). What is z rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(1 + 5 - 4)*(2*i - 3*i + 2*i)*(-6119 + 7718 + 9881 + 6026).\nAnswer: 70024*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-124)\/(-20553)*-26)\/(2*-2)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(143) + sqrt(143) + sqrt(143) + sqrt(143) + sqrt(143)*1))\/((sqrt(121) + 2*sqrt(121) + sqrt(121))\/sqrt(11)) + -3)*-5.\nAnswer: -25*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 - 8 + 9)*(-r + 0*r + 4*r + (-r - 1 + 1)*(-2 + 1 + 2)) - 9 - 9 + 5*r + 17.\nAnswer: 269*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 28*n**3 + 62*n**2 - 32*n.\nAnswer: -2*n*(n - 1)**2*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/25)\/(6 - 5) - -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Solve -2*y + 0*u + 4*u - 4 = b, 0 = 3*y + u + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.2. Let j = 602 + -547.8. Let i = -54 + j. What is the closest to p in i, 0.4, 3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -40941, 3, -27, -5, -4 in increasing order.\nAnswer: -40941, -27, -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q = -43*q. Let b be 18\/27*(q - -3). Sort b, 5, -4 in decreasing order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3970488, 3970497, 3970506?\nAnswer: 3970515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {d: 1, q: 2, h: 2, b: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 140 - 144 = 5*d, 2*d - 74*m + 528 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 24. Let i = 15 - 10. Which is the nearest to -0.1? (a) i (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.944076 and -0.3.\nAnswer: -2.244076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23209 is divided by 3815.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1666 or -38330?\nAnswer: 1666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.9 + 5.9. What is the nearest to 0.2 in 1, -2, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907751059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/((-12015)\/178 - -68).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 - 17*v**2 + 32*v + 107. Is b(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 197*z**4\/4 + 249*z**2\/2 + 536*z. What is the first derivative of g(n) wrt n?\nAnswer: 1182*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 899 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 934 (base 13) to base 7.\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 570 = 4*t. Let f = t - 61. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/45)\/((-14)\/(-63))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a tonne in kilograms?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2143 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 2*h + 2. Let c(r) = r**3 - 15*r**2 + 12*r + 15. Let g(p) = 5*c(p) - 35*f(p). Let y be g(2). Solve y + 0 = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 47. Is g less than or equal to -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 14*r + 18. Let i be (0 - 4) + 12\/3. Suppose i*t + 15 = -t. Let x be c(t). Put x, -4, -2 in descending order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*p**3*x**2 - 2*l**2*p**3*x - 4*l**2*p**2 + 10*l**2*p*x**2 - l**2 + 3*l*p**3 - 3*x**2 wrt x.\nAnswer: -2*l**2*p**3 + 20*l**2*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 3\/4, -14 in decreasing order.\nAnswer: 3\/4, -14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 8*r + 11. Suppose -y + 18 = -3*y. Let t be n(y). Suppose -5*q + 5 = -m - m, 7 = -t*m + 3*q. Let z(w) = w**3 + 4*w**2 - 6*w - 1. Give z(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -603522*n**3 - 802499*n**2?\nAnswer: -3621132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 172 and 4.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 0.3 (c) 11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 10*k - 16. Let w be s(-11). What is the second biggest value in 0.4, 1\/5, -2, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3956548535 to the power of 1\/3, to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/60 and -47\/8964.\nAnswer: 44820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 694*u + 13483. Let t be z(-20). Let b(v) be the third derivative of -7*v**4\/24 - 2*v**2. Give b(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.25 + 2.15. Let h = c + 0.1. Let p = -0.9 + 1. Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/192)\/(1\/4 - 0)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25.5 and 0.5?\nAnswer: -12.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42342 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/22417 and -22\/7?\nAnswer: 156919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 1. Let j(h) be the first derivative of -h**3\/3 - 3*h**2 + 8*h + 2. Let b be j(-7). Let g(o) = -4*o**3 + 8. What is b*g(q) - 6*z(q)?\nAnswer: 2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68932291 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 12) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 20*v**2 + 58 - 10*v**2 - 2*v - 9*v**2. What is the tens digit of m(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233 + 3322?\nAnswer: 11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1. Let l(t) = -t + 3. Let p(z) = -z + 4. Let o(j) = -5*l(j) + 4*p(j). Let w(v) = v**3 - 5*v**2 - 1. Let f be w(5). Calculate f*a(d) + o(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 3*m - 6. Let u be a(7). Let q be u\/(-18) - (-10)\/45. Which is smaller: q or 1\/26?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6862c (base 15) in base 4?\nAnswer: -1101011232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2 + (2 + 0 - 3)*(3 + 2 - 7) - 1 + 5 + 0)*(-z + 0*z - z).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 24 - 7*x**4 - 2*x**2 + 43 + 11*x**4 - 21 as m + j*x**4 + a*x + q*x**2 + c*x**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 2*m**2 + 0 + 0*m + 1\/12*m**4 - 1\/6*m**3. What are the prime factors of g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -29*i**3 - 7*i**2 - 13*i + 7. Let s(j) = 15*j**3 + 4*j**2 + 7*j - 4. What is -6*l(c) - 11*s(c)?\nAnswer: 9*c**3 - 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.68 + 2.687. Round o to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -42?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-122)\/(-8) + 9\/12. Suppose m - 4 = 4*q, -2*d + 87 = -5*q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 1:46 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1 + (4 - (2 + -1)). Find the second derivative of 2*d + 7*d + 3*d**r + 5*d wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xpppppbppxxppi.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + i**2 + 11*i - 7. What is q(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 46*q + 1 + 10 - 4. Is l(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.107 + 0.312. Let f = n - 0.115. Put 4, 2, f, -2 in increasing order.\nAnswer: -2, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -202*u + 43416. Give h(215).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**2 + g**2 - g**2. Let s be 3 + (4 - 2\/1). Let c(t) = -t - 3*t + s*t. What is c(y(x))?\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5621986 millennia?\nAnswer: 56.21986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/17? (a) -1 (b) 1\/11 (c) -6 (d) -99 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, 3, -5.\nAnswer: -5, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (16 - 3) + (8 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 62. Suppose 4*q + k - 3 = 0, -5*q + r*q + 5*k + 35 = 0. Differentiate -19*l**3 + 97*l**q + 2 - 97*l**2 with respect to l.\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 28939 + 10819 + 6867 + 11778 + 39934.\nAnswer: 2*d + 98337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130038 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-6))\/((-16)\/24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -26 + 27. Does s = -6\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5) + 6\/(-180)*-102?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 34. Suppose 275 = -23*o + c*o. What is the remainder when o is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18048 divided by 1504?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - 1 + 1 + 981 - 30*t**3 - 981 + (2*t**2 + t**2 - 5*t**2)*(3 - 3 + t).\nAnswer: -34*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -332805\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.035 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1003420786?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**3 + 5*r**4 + 65*r + 4*r**3 + 89*r - 2*r**2 - 4*r**4 - 133*r to u + m*r**3 + d*r**2 + z*r**4 + k*r and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(91))\/(sqrt(175) - (-1*sqrt(175) + sqrt(175) - sqrt(175))).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 210*s**3 - 408*s**2.\nAnswer: -3*s**2*(s - 68)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2129878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 1739, 3951, 7171, 11471, 16923?\nAnswer: 23599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11982400037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16167*o = 16097*o - 1400 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/7)\/z)\/(z\/(z\/(z**(3\/4)\/z*z))))**20\/((z**2\/z)**(2\/5)\/(z**(2\/27)\/z*z\/(z\/((z\/z**3)\/z)))) assuming z is positive.\nAnswer: z**(-45263\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 2, q: 1, g: 1}. Give prob of picking 1 g and 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290371046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1267 - -2867. Suppose v = 4*i - 2*i. Round i to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 23*w**2 + 2*w - 13. Let q = 34 + -29. Let h(n) = -46*n**2 - 5*n + 25. Let g(m) = q*x(m) + 2*h(m). Differentiate g(z) with respect to z.\nAnswer: 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16678 is divided by 542.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73\/63 + -13\/9. Sort 5, 11, j, -5.\nAnswer: -5, j, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1390388000 to the nearest one million.\nAnswer: -1390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {x: 13, n: 5}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3 (b) -0.4 (c) 21\/11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512 + 280 + 232 + 4*b**3 - 6*b**3 + 19*b**3.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(2875\/690)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((0 + -2)\/2*-1). Solve v = -2*r + i - 8, -7 = 4*r - i + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313464900.1009 plus -88?\nAnswer: -313464988.1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from bxcevuuxxbcbbub.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169119 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -44, 3, 9, -321 in increasing order.\nAnswer: -321, -44, -2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Suppose -8 + 2 = -x*a. What is the remainder when 5 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/(n**(-4\/7)*n))\/(((n*(n\/n**(-2\/5)*n)\/n)\/n)\/(n**(-3\/5)\/n)))**(-2\/19) assuming n is positive.\nAnswer: n**(34\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177357 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/60 - 2*z**5\/15 + z**4\/12 + 2*z**3\/3 - 144*z**2 + 1. What is k(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199 divided by -22\nAnswer: 199\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 931096003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/45 and -18\/15775.\nAnswer: 141975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, r: 5, d: 3}. Give prob of picking 2 d, 1 r, and 1 e.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + -28. Let b = l - -85. What is the remainder when b is divided by (-12 - 2)\/(-1) - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30053307 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33212011332 (base 4) to base 10.\nAnswer: -4088190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*j**3 + 143.\nAnswer: -282*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**7\/2520 + 67*t**4\/12 - t**3\/3 - 4*t. Let o(f) be the third derivative of w(f). Let v(j) = 2*j**2 - 76. Calculate o(v(y)).\nAnswer: 4*y**4 - 304*y**2 + 5776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.6 - 24.59. Let w = h + -0.01. What is the smallest value in w, -2\/19, -0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bf1ea (base 16) to base 9\nAnswer: -1422746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 48. Suppose -3*f - 165 + 159 = s. Is 1009 - (f\/6 + 40\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2\/1)*(-13)\/(-26)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d - 1. Let y(r) = -6*r + 2. Suppose 2*l + 2*f - 12 = 0, -19 = 3*l + 2*f - 36. Give l*v(j) + 3*y(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/191? (a) -1.5 (b) -1\/5 (c) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225)\/10)\/45*4\/46?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7764583 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 676, 757, 812, 829, 796, 701, 532?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -762, -1533, -2304?\nAnswer: -3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*l = 1604, 4*d + 464*l = 469*l + 2085. What is the remainder when d is divided by 257?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 13*a + 49. Let t be y(-8). Suppose -5*r + 5*z + 30 = 0, -5*r + 3 + t = 4*z. Solve r*c + 4 = -4*j, 4*j + 8 = -2*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3332764 is divided by 1710?\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 7. Let c be d(-14). Let f be (-56)\/(-12)*51\/34. Solve 14*y + c = f*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-3)*(-2)\/4. Let f(o) = -20*o**2 - 59*o + 6. Let j be f(-3). Is j greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294776407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*2\/(12\/3))\/(30*(-36)\/3240)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60820 - 170?\nAnswer: -61100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -32, 41, -440\/13 in ascending order.\nAnswer: -440\/13, -32, 2\/5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9773593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 16*s - 18*s. Let w = -4 - -4. Solve 3*g - 5*g - s = w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423*1915\nAnswer: -810045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 9. Let x be (-97)\/(-2) - (-1)\/f. Suppose -4*u + 5*r = u - 85, r = 2*u - 33. What is the greatest common divisor of x and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14383147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 31*z = -89*z + 1761792. Round z to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*q**3 - 166 wrt q?\nAnswer: -204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**5\/13 + 12*h**4\/13 - 18*h**3\/13 + 8*h**2\/13 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32505\/(-330)*(-2 - 0)*1. Let b = -157 + w. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*y + 24973 = 0, 8*r + 2*y + 124727 = 13*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 13*z**5\/5 + 167*z**2\/2 + 11432*z + 4715. Differentiate u(a) with respect to a.\nAnswer: 52*a**3 + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*h + 0*h + 31*h + 6*h + 18 - 17 + 7*h + (-4*h - 2*h + 3*h)*(4 + 0 - 3).\nAnswer: -9*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7883, 1862 in descending order.\nAnswer: 1862, 0, -7883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - 514?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149036 is divided by 7049?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 457*z - 7 + 80 - 3198*z.\nAnswer: -2741*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -12 - (-60)\/6 - (0 + -10532)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**3 - 42*d**2 - 101*d - 22. Give k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + -1. Let o = d - -20. What is the smallest common multiple of o and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*s - 397*s - 32 = 0. Solve -5*u + 18 = -4*b, u = -4*b + b - s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179041075*y**4 - 70042557*y.\nAnswer: 2148492900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 679*d - 12. Let u(r) = -2037*r + 33. What is 11*a(k) + 4*u(k)?\nAnswer: -679*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 8:36 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**3 + 5*x**2 + 17*x + 5. Let i(k) = -14*k**3 - 8*k**2 - 25*k - 8. Give -5*i(c) - 8*j(c).\nAnswer: -2*c**3 - 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11410 by 2282.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 564781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41069 divided by -41069?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 11492818?\nAnswer: 1723922700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (70\/14)\/(2\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-4)*p**(-2))**(11\/5) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/60368 and -37\/8624?\nAnswer: 60368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*w + 4*k, w + 2*k - 55 = -0*k. Let b be 2\/10 + 25402\/w. Is (23 + -26)*b\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 6 = -4*g. Suppose -3*u - 648 = -3*k, -2*k - 452 = -4*k - g*u. Calculate the highest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 2*b**3 + 2*b**3 + (4 - 4 + b)*(-2*b**3 + 2*b**3 - 2*b**4) + 4 - 4 + 2*b**5.\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/12 and 8\/2823.\nAnswer: 11292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 52. Calculate the least common multiple of (-3)\/((-114)\/x - 3) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m + 45*m - 249 + 251 + 11*m - m**3 to the form p*m**3 + d*m**2 + o*m + w and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(-10)\/4*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66430 and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/12479 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((214\/(-321))\/(8\/(-30)))\/(4\/48)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, j: 2, g: 1, k: 1}. Give prob of picking 1 t and 2 j.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from sssyxynhybyhsss?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2*h**2 - 2*h**2)*(0*h**2 + h**2 - 3*h**2)*(3367 + 4073 - 5455).\nAnswer: 3970*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3489491 (base 12) in base 11?\nAnswer: -57a2975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 6*m + 770. Let z = 71 - m. Calculate the highest common factor of z and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12 + 45*z - 9 + 16*z. Let w be a(4). Suppose -134 = -3*j + w. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d - 9*d**4 + 4*d**4 + 21*d)*(d + 2 - 2).\nAnswer: -5*d**5 + 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 15. Let m = 8 + o. Let p(d) = -d - 3. Give p(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (9\/(-3) - -16) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/25 and 43\/80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107750246 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 429\/4 greater than or equal to 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12735809?\nAnswer: 97, 131297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = -2*z + 29, -4*z = -16. Let w = b - 7. Sort 4, 0, w in decreasing order.\nAnswer: 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**4 - 112176*s**2 - 807033.\nAnswer: -8*s**3 - 224352*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23990570.\nAnswer: 2, 5, 17, 141121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -18*c - 37. Let r(t) = -15*t - 33. Calculate 5*r(i) - 4*s(i).\nAnswer: -3*i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -4. Suppose 2*c - c - o = 0. Calculate the remainder when 29 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/4 + 4*g**3 - g**2\/2 + 25*g + 164. Does 11 divide o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*g - 0*g - 5, g - 5*k = 29. Suppose 7*f = g*f + 3. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1766, 1774, 1796, 1838, 1906, 2006, 2144, 2326?\nAnswer: 2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 4335?\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/4 - (-24)\/32. Suppose -z - 2*u - 775 = -6*z, 172 = z + k*u. What are the prime factors of z?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 57*t + 0 - 60*t + 0 + 5*t.\nAnswer: 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*((-8)\/(-28))\/(9\/7)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + sqrt(80))**2 - sqrt(45)\/((sqrt(99)*1 + sqrt(99) - sqrt(99))\/sqrt(11)).\nAnswer: -17*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4547902 is divided by 1136971?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x - 5*q + 20 = 0, -x + 3*q = 4. Let f be -3 + (-5)\/x*(-12)\/5. List the prime factors of f - (1 + (-54 - -3) - 4).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 5*v + 3922 = 42*v - 3*v for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1718, -1715, -1710, -1703?\n\"Answer: c**2 - 1719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/505 and -1\/9?\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 848, 1995, 3648, 5813, 8496?\nAnswer: 11703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16224 - 7?\nAnswer: 16215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {z: 4, s: 5, b: 8}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2. Let s(g) be the second derivative of -31*g**3\/6 - g**2 + 64*g. What is s(p(o))?\nAnswer: 62*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 29*a + 90. Let t(w) = -117*w - 354. What is -9*o(v) - 2*t(v)?\nAnswer: -27*v - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45648700 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4647 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19\/2, 13, 0.5, -0.2?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 2*z**2 + 4*z**2)*((354 + 452 + 192)*(-2*z + 0 + 0) - 6*z + 2*z + 0*z).\nAnswer: -2000*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 20 = 3*q. Is q\/18 - (-372)\/27 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7776 and 14\/(-329) - 40352\/(-611)?\nAnswer: 85536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - p**2 - 2*p - 1. Let q be s(-1). Let j be ((-3)\/(-9))\/((-1)\/(-6)). Solve 0 = 4*t - j - q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 21) + 21 - 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 12*g + 792 = 0. Let f(t) = 6*t**2 + 5*t - 50. Calculate the lowest common multiple of f(4) and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*k + 82*k + 35*k.\nAnswer: 307*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-9))\/(-5)*4\/(-2)*-3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10427*r - 315 = -10462*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36768017 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2283*k + 520564. Calculate f(228).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3426 = -4*f + 2*m, m - 855 = 48*f - 49*f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + -1.12. Let w = 1 + o. Is w bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -28\/3. Put -0.2, c, 24, 3 in descending order.\nAnswer: 24, 3, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) 20 (d) 2\/3 (e) 118 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 - 9*h**2 - 7*h + 2. Let w(v) = -2*v**3 - 4*v**2 - 3*v + 1. What is -3*s(c) + 7*w(c)?\nAnswer: -2*c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1067969 rounded to the nearest ten thousand?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-19)*i*(i\/(((i**(-2\/3)\/i)\/i)\/i))\/i*(i*i\/i**(-1\/3)*i)**(-3\/10) assuming i is positive.\nAnswer: i**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 101663.\nAnswer: 30498.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 3. Suppose -n - 2*j + 10 = 0, -4*n = 5*j - 5 - 29. Let c(g) = 4*g - 4. Give n*w(t) - 4*c(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 1, p: 1, g: 4, v: 5, l: 1, d: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224533*j**3 - 472*j**2 - 1758723*j - 32 wrt j?\nAnswer: -1347198*j - 944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-16098))\/((-9)\/6). Let c = -5296\/93905 + v. Let q = 0.9 + -0.8. Which is bigger: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249296 - 249297. Let y be (-30)\/8 + (-1)\/4. Let l(j) = -j**2 - 9*j + 14. Let h be l(-11). Sort v, h, y in ascending order.\nAnswer: h, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216631 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/4)\/((-3)\/6). Let i be -6 + -6 + (-2 - o). Let m = i + 13. Solve g = 2*s - 9, 0 = s - m*g - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 131, 131, 57, -115?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 2)*(-66573 - 398*z**3 + 66573).\nAnswer: -1592*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnn when three letters picked without replacement from {k: 2, r: 1, f: 7, n: 3, p: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(-4) + (-15)\/(-20). Suppose k = -p*s - 4*k + 20, -3*k - 36 = -5*s. Solve s = -3*u, -t + 22 = 3*t - u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2638, 5116, 7594, 10072?\nAnswer: 12550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 11212?\nAnswer: -11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66 - -35 - -37) + -2 + -1 + 2 - 33?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -20. Let m(f) = -f**3 + 2*f**2 + 4*f - 2. Calculate m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 1 = -5. Is -7\/10 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(84)*-3)\/sqrt(7) + sqrt(12))\/(sqrt(6) - -3*sqrt(600)))**2.\nAnswer: 1930\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (19 - (11 + (-9 - (3 - 8))))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -8*u**3\/15 + 7*u**2\/10 + u\/5 - 31. Factor w(m).\nAnswer: -(m - 1)*(8*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10815 - -10815.000005927. What is w rounded to seven dps?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4 - 2 - 4*m + m**3 - m - 5*m**2 + 2. Let q be g(6). Let l(x) = -x + 12. Calculate the smallest common multiple of 24 and l(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 51*v - 92. Determine b(-6).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*k - 3 = -210*k. Let a be 12\/66 - (-40)\/22. Let v = a - k. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*1*-1 + sqrt(119) - (sqrt(119) + -6*2*sqrt(119)))*3)\/((sqrt(1008) - sqrt(28)) + (sqrt(56)*3)\/sqrt(8)).\nAnswer: 33*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**5*j)\/j)\/(j*j\/(j*j**(1\/5)*j)))\/(j*(j\/j**(2\/3))\/j*j*j*j*j\/j**(-4)) assuming j is positive.\nAnswer: j**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:20 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/14)\/(1*3*-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 551*c + 51*c**4 - 551*c - 2*c**4 + c**4 + 0*c**4 + (-5*c**2 + c**2 + c**2)*(3*c**2 + 0*c**2 - 5*c**2) + (3 - 3 + 2*c**2)*(7*c**2 + 99*c + 1 - 99*c).\nAnswer: 70*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(18)\/sqrt(6) - (3 + sqrt(3) + 1)**2.\nAnswer: -19 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-506)\/69)\/(2 - 16\/6). Let t = -7638 - -7640. Solve t*f - w = -3*y - 27, -f + 5*y + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -198*x - 22. Let j(r) = 35*r + 4. Let g(u) = -11*j(u) - 2*y(u). Let a(k) = -9*k - 17. Calculate a(g(m)).\nAnswer: -99*m - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-256)*8*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 3, -1\/2, -23, 0.06?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12016 < 12029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7197 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -28, 17, 100, 233, 428?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 421.6022 tonnes?\nAnswer: 421602200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let p(v) = -v + 1. Let i be p(3). Let k = i + 4. Let x(s) = -6*s**k + s**2 + 2*s**2. Calculate b(x(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3541 - 1258. What is the greatest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:27 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y - v + 56, 2*y - 4*v = 28. Suppose y = 2*k + 4*t, -k - 3*k + 24 = 2*t. Solve -3*o - 5*u = 6, -4*o + k*u + 27 = -0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - w**2 + w**4 - 2*w**4 + 0*w**4 - 8*w to the form h*w + x*w**3 + k + z*w**2 + n*w**4 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41754629351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 783.6 + -784. What is the closest to 0.1 in 13, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 651*n**2 - 3928*n - 75. Calculate s(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 178.\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 2*b - b)*(0*b**3 + 10*b + b**3 + 0*b**3).\nAnswer: b**4 - 2*b**3 + 10*b**2 - 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzhc when four letters picked without replacement from wczchtcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5031904426012 - 5031906711558.4400031. Let d = l + 2285546. Let a = d + 0.44. What is a rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 5*o + 3*o + 339 - 7*o**2 - 40 as j*o**2 + d*o + y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -107360 divided by 5\nAnswer: -21472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -32*o. Let f(t) = 60*t. Determine y(f(r)).\nAnswer: -1920*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*k**3 - 52274*k - 21*k**3 - k**2 - 17*k**3.\nAnswer: -k**3 - k**2 - 52274*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374321 is divided by 74857.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 209*h**3 + 51*h**5 - 209*h**3 + (-3*h**2 - 2*h**2 + 3*h**2)*(6*h**3 - 5*h**3 + h**3) + 0 - h**5 + 0.\nAnswer: 46*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/96)\/((-6)\/(-18)). Which is the smallest value? (a) 0 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 0*i - 3 + 0*i**2 + 2\/3*i**3. Let q(h) = h**2 + 2*h**2 - 5*h**2. What is q(n(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -500*s**2 + 8285*s + 3756*s**2 + 879*s**2 + 1414*s**2 wrt s.\nAnswer: 11098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, e: 2, y: 1, q: 1}. Give prob of picking 1 e, 1 q, and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43095 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42950 is divided by 1106.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 + 173. Solve -q*d + 9*d = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29745 divided by 5?\nAnswer: 5949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/26823 or 4605?\nAnswer: 4605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 167. Suppose d = j - 3*z, 0*z + 5*z = -j + 133. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqykqyyqqlqkllkklylk. What is prob of sequence llq?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/120 + c**3\/3 - 3*c**2. Let r(q) be the first derivative of m(q). Let y(i) = i. Calculate r(y(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + 21. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*v - l + 4, -4*l - 16 = 0. Let f = v + 6. Let s = 5 + -2. Solve h + 14 = -s*t, 0*h = -2*h - f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 111*z**2 + 6*z + 4. What is the remainder when r(4) is divided by 139?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/(-8) - 2\/(-8). Suppose -n*s + 1 = 16. Let z = 9 + s. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -5. Let i be l\/1 + (1 - -12). Solve -f = -2*d - i, 0*d + 3*d = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -9, 4, -90, -3 in decreasing order.\nAnswer: 4, 2, -1, -3, -9, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 1. Let x(v) = 6*v - 2 - 3 + 2. Let s(b) = -3*t(b) - x(b). Let w(n) be the third derivative of -n**4\/24 + 50*n**2. What is w(s(c))?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10377 divided by -13\nAnswer: -10377\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 - y**3 - 3*y**3)*(-5 + 5 + 2*y)*((2*y - y - 2*y)*(-2 + 4 - 3) + 6 + 9 + 964*y - 1014*y).\nAnswer: -196*y**5 + 60*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 1. Let r = 6 - 69. Let o be (-54)\/r*84\/9. Give g(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 1\/2*n**3 + 1\/4*n**4 + 3\/2*n**2 + n + 0. What is the units digit of s(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x - 3. Let f be -1*(-24)\/(-2)*1\/(-2). Calculate s(f).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778\/4 - ((-2)\/(-10))\/(2\/15) is divided by 112?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5809 or -5808?\nAnswer: -5808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/88 and -83*1*37\/(-296)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1430)\/156)\/((-40)\/96)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = -3. What is the derivative of -5 + 1 - 3 - u*f + f wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuynrnnl. Give prob of picking 1 u and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 64 = -96. Suppose 0 = -5*i + h - 16. Sort -6, i, 0.5, -3 in increasing order.\nAnswer: -6, -3, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14072661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4, -4*b + 11 = -3*m - 623. List the prime factors of b.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27289?\nAnswer: 29, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 407.7262 nanometers?\nAnswer: 0.0004077262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*b + 80 + 19 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f + 2. Let w be i(0). Let t be (w\/3)\/2 - 0. Let y = -1983913\/15 + 132261. Which is the nearest to 1\/4? (a) t (b) 2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 o, and 1 w when four letters picked without replacement from {r: 1, o: 3, w: 10, t: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 22 - 27)*(-2 + 6 - 3)*(-a + 0*a + 2*a)*(-8*a + 5*a - 6*a).\nAnswer: 810*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -a. Suppose 0 = 2*v + 1 + a. Let t = v - 6. Is -7 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a3 (base 11) in base 3?\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 1:05 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/27*3 + 1806\/(-189)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 - -9)*(9 - 2). Is 9 a factor of (-445 - 2)\/(g\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/7 - 10*o**3 - 576*o**2\/7 + 648*o\/7 = 0. What is o?\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3792 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r - 35*r - 113*r - 86*r.\nAnswer: -273*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 3 - 6*h + 1 + 2*h. Let r be i(-4). Let u = 31 + r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99464759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**3 + 561822*n**2 + 6613449*n wrt n?\nAnswer: 24*n + 1123644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 53. Suppose -4*u + 4*r + p = 7*r, 2 = 2*u + r. Suppose 0*v - 2*x = v - 7, v + 4*x - 9 = 0. Solve v*t - u*t = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 8*t = 3. Let b = 5 - 9. Let z be (10 + b)*1*2\/12. Is z at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2353 - -1631?\nAnswer: 4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5664444 - 466?\nAnswer: -5665243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5761*y**3 - 5768*y**3 + 17293*y**3 - 5768*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzllzlzllzlz. What is prob of picking 2 z and 2 l?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 2. Let i be n(3). Let f = 9 + -3. Let a = -247 - -250. Solve 0 = 2*j + 3*y + f, -a*j + i = -4*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(96) + -1*sqrt(96) + sqrt(96))\/sqrt(8) + 2*sqrt(108))\/((sqrt(64) - sqrt(64)*-1) + sqrt(64) + sqrt(64) + sqrt(44)\/(sqrt(44)\/sqrt(4))).\nAnswer: 8*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -91, -2, -7, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174386?\nAnswer: 2, 17, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104, 195, 284, 371, 456, 539?\n\"Answer: -c**2 + 94*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 2067 = 13*q. What are the prime factors of q?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 337 = -1097 + 410 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720) + -4 + (sqrt(5) - (sqrt(25)\/sqrt(5))**2) - (sqrt(10)\/sqrt(2)*1 + -4*sqrt(25)\/sqrt(5)))*-1.\nAnswer: -16*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 18 + -20 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7149429 millilitres to litres.\nAnswer: 0.0007149429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -42, -64, -102, -162, -250, -372?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6944 or 6943?\nAnswer: 6944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 + -5 + (9 - 10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/928113 and 71\/54.\nAnswer: 16706034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-814)\/(-10) - 16\/40. Suppose 0*m - p = -3*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h. Let i(b) = 2*b**2 - 3*b + 3. Let o(c) = c**2 - 6 + 4 - 4*c + 5*c + 1. Let w(d) = i(d) + 3*o(d). Calculate w(f(s)).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -273702, -547427, -821170, -1094931, -1368710, -1642507?\n\"Answer: -9*l**2 - 273698*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43010481.\nAnswer: 3, 2153, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 99375876?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**2. Let r(d) = -3602944*d**2 - 2. Give r(k(s)).\nAnswer: -90073600*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3087.\nAnswer: 5\/3087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 643606974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/4 != 4\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.45538109 and -3.\nAnswer: -2.54461891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000273960452 rounded to 7 dps?\nAnswer: 0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 52016*f - 12599040.\nAnswer: 2*(f - 26248)*(f + 240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let u = 105 + 149. Let t = 257 - u. Sort t, -4, s in descending order.\nAnswer: t, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**4\/24 - n**3\/6 + 2*n**2. Let h be p(-3). Suppose -h*j - 3*j + 8 = 3*d, -16 = -4*d - 4*j. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:20 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134060 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -102*d - 308, -3*d + 2665*p = 2663*p + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300754 to the power of 1\/2, to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, 1\/4, -7\/2, 17\/9, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 4:19 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + u + 1)*(0*u**2 + 4*u**2 - 3*u**2) - 404*u**3 - 1435*u**3 - 96*u**3 + 131*u**3 to j*u**2 + h*u**3 + n*u + c and give h.\nAnswer: -1803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*r - 87*r - 185 = 0. Solve 0 = -2*s + r*t - 10 - 0, s + 5*t = 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48057040 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-36))\/(10\/(-16)). Let d(t) = -t + 9. Let o be d(7). Which is the third biggest value? (a) o (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((-378)\/12)*6*3\/27\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4275829 divided by -15\nAnswer: -4275829\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 9*x**3 - 12*x.\nAnswer: -3*x*(x - 2)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 31272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1534)\/(-91) + -17 - 15\/2*(-8)\/28. Suppose -4*m + 1 - 5 = 0. Let y(f) = 4*f**2 - 1. Let d be y(m). Solve n*j - 5 + d = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -269, -606, -959, -1334, -1737, -2174, -2651, -3174?\n\"Answer: -s**3 - 2*s**2 - 324*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 3, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-59 + 277) - -91.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*l - 19, -38 = -5*o + 2*l - 12. Suppose -3*z = -4*v - 20, 0 = -3*z - v + 39 + 1. Solve 2*h = o*n - z, -n - 12 = -5*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g = 65*g - 10. Let w = -16 + 22. Suppose -280 = -w*o + g*o. What is the greatest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h - h)*(-19992119 - 4915*h**2 + 19992119).\nAnswer: 9830*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1*(1 - -9). Let q be ((-2)\/(-10))\/(2\/h). Is q not equal to 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**3 + 55*a**3 - 25*a**3 + 4*a**2 - 4*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039377793 rounded to 4 decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 - 149 + 69 + 79.\nAnswer: -5*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 9. Let z(i) = d*i + 5*i**2 - 3*i. Let r(p) = 4*p**2. Let v(a) = 11*a**2. Let s(b) = -17*r(b) + 6*v(b). Give s(z(y)).\nAnswer: -50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.26 minus 12?\nAnswer: 575.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 5542680?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7901, 1\/2, -0.06 in increasing order.\nAnswer: -0.06, 1\/2, 7901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s + 14*s - 42*s + 283 + 12*s + 7*s as q + f*s and give q.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13840818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3074 divide 330642514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652 = 3*r - r. Let b be 4\/(-14) + r\/14. Calculate the highest common divisor of b and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**5 + 4605964*b**4 + b**3 + 31*b**2 - 53724*b + 38.\nAnswer: -420*b**2 + 110543136*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2180135*g. Let n(t) = 2*t. Determine n(m(v)).\nAnswer: -4360270*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 663 - 1050. Let n = 914 + r. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 52928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 0*v**2 - 6 + 5 - 8*v + v**2. List the prime factors of o(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23403001 (base 8) in base 14?\nAnswer: 97166d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*y - 23*y - 18*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -181, -266, -367, -490?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*d**2 + 0 + 0*d.\nAnswer: 2*d**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**3 - n**2 + 2*n. Let q be m(2). Let g(u) = 1004*u + 8. Let h be g(2). Suppose -37*z + 44*z = h. What is the greatest common factor of q and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(5\/2)\/u)\/u*u)\/(u*u*u\/u**20*u*u) assuming u is positive.\nAnswer: u**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -22*j**5\/5 + 11*j**2\/2 + 22. Find the second derivative of z(a) wrt a.\nAnswer: -264*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Suppose 0 = -2*f - w*s + 70, 3*f + 4*s - 95 = -0*s. Let v = 7 - f. Round v to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from eyyyymyyyexbmyxey.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 223486.1 weeks?\nAnswer: 1564402.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158381.4us in minutes?\nAnswer: 0.00263969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 15*i**2 + 29*i + 10. Let o be r(-2). Which is the nearest to 1? (a) 2\/87 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*y - 21 + 66 = 0, -12 = -4*y. Suppose 7*c = g - 2. Suppose 0 = -2*v - c + 54. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let w = 2 + i. Let g = 15076 - 15075.94. Sort w, -4\/7, g in descending order.\nAnswer: w, g, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7224855317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(320) - sqrt(320)))**2*2 + 1 + (1 + ((sqrt(5) + 3)*6 - sqrt(1980)\/sqrt(11)))**2.\nAnswer: -288*sqrt(5) + 6140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5))**(18\/11)\/(h*(h*h\/(h**(1\/11)*h))\/h)**(-43))**(-2\/33) assuming h is positive.\nAnswer: h**(-716\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*m - 7*m + 61, t - 53 = -4*m. Let g = 17 - m. Suppose g*l + 2*y = 15 + 2, -l + y + 4 = 0. Solve 4*q - j + 10 = 2*j, -10 = l*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 4*d + 2*d)*(5*d - 2*d - 2*d) - 10 + 10 - 6*d**2 - 3*d**2 + d**2 - d**2 to the form n*d**2 + b + h*d and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-17)\/(-45) + (-3)\/(-15). Let z be ((-4)\/8)\/((-2)\/12) - 2. Is c at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 253*a + 3923. What is w(17)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2\/9 + 112*d\/3 - 1568 = 0?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -34, -59, -84, -109?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/60 + t**5\/30 - 2*t**3\/3 - t**2. Let b be w(7). Calculate the common denominator of 31\/5 and (2\/5)\/(16\/b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2381, 2112, 1663, 1034, 225, -764, -1933?\nAnswer: -3282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-4))\/(2\/16). Suppose 2*v = v + x. Let d(s) = -s**2 + 2*s - s - s - v. Calculate d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 2:37 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 640150*u**2. Let v(c) = -5*c. Calculate r(v(n)).\nAnswer: 16003750*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 19*y + 32. Let a be n(15). Suppose a + 317 = 2*d. List the prime factors of d.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(2\/(-9)). Solve o = -0*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 268 - 3*v**2 - 152 - 130. Let o(q) = -13*q**2. What is o(m(y))?\nAnswer: -117*y**4 - 1092*y**2 - 2548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**4\/12 - 2*s + 1372. Let y(m) = 273*m**2. Determine y(b(u)).\nAnswer: 273*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + f = 2*f - 6, -3*c + 3*f + 27 = 0. Suppose 4*r = 7 + c. Solve r*i = 5*j + 16, -3*i - 4 = 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 28. Give q(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -8.29 (c) -1\/7 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 943 = -4*u, 7*u - 8*u + 2*i + 234 = 0. Suppose -1194 + u = -2*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 62 = 2*z. Let g = -13 - z. Calculate the greatest common divisor of g and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f - 9. Let i be (2 - 62)\/(-2)*(-4)\/24. Let j = -19 - -29. Suppose -4*b = b + j. Let l(h) = 4*h + 4. Calculate b*p(v) + i*l(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*q + 45, -4*k = 2*q - 36 + 8. Let s = q - 13. Solve -s*u - 6 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x + 2. Give f(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.035 - 0.355. Let s = -0.19 - v. Let p = -9 + 5. What is the closest to 0.1 in p, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*r - 19 - 648. Suppose 2*w + 14 = -10*p + 13*p, -5*p = -3*w - r. What is the closest to 0.1 in 2, w, -2\/9, 9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*n - 31 = -27 + 41, -2*n - 39 = -68*s - 197 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 2664.24.\nAnswer: 50620.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 3) + (0 - (-4 + 10)) - -42. Solve 24 = -2*n - 4*i, 3*i = -l*n + 33*n - 21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - 3) - 4\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/42 and 71\/312918?\nAnswer: 2190426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*-8083.\nAnswer: -331403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23490708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 2. Let x be u(3). Let v(f) = 6*f**2 - 3*f + 2. Let y(t) = 17*t**2 - 10*t + 7. Let m(z) = 7*v(z) - 2*y(z). Is 8 a factor of m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aggfqqoo. Give prob of sequence oaq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78887\/20 + -3943. Are b and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3537 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/4)*m**(-9))\/(m**(2\/15)*m*m**(-4)*m*m))**(-21\/5))**(-4\/9) assuming m is positive.\nAnswer: m**(-3101\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 - 8*f - 5. Suppose -168 - 154 = 46*p. Give q(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose -s = -m*s + 4*q + 20, -3*s - 25 = 5*q. Suppose 5*b = 3*i - 40, s = 4*i - 2*b - 26 - 46. Solve 2*u = 4, -3*u + i = -2*r + 2*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -345015.\nAnswer: 4\/38335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190 - 186. Let v(k) be the first derivative of 0*k**4 - 1\/5*k**5 + k**2 - o + 0*k + 0*k**3. Find the second derivative of v(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1344\/(-144) - 1\/(-12) and (39\/(-130))\/((-56)\/115)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 461439.\nAnswer: 2\/461439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 20*t**3 - 17*t + 17. Let d(r) = 7*r**3 - 6*r + 6. Let g(a) = -14*a - 216. Let s be g(-15). Calculate s*x(j) + 17*d(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/45 and -1\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68995 + -38141. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27305005 to the power of 1\/2, to the nearest integer?\nAnswer: 5225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54169200, -54169202, -54169204, -54169206?\n\"Answer: -2*i - 54169198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 39. Let u(b) be the first derivative of 5\/3*b**3 + 1\/5*b + y - b**2. Determine r so that u(r) = 0.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 1 - 5 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 494773 - 6.54009.\nAnswer: 494766.45991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 71*d + 76*d + 288 - 248, 5*d = 2*x - d - 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a7 (base 11) to base 5.\nAnswer: 4401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -f + 4*k, -5*f - 3*k - 302 = -296 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.8 - -0.6. Let k = u - 6. Let i = k + -2.3999924. What is i rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = 3*o. Find the third derivative of -11*k**2 - 2*k**4 - 2*k**2 - o*k**4 - 4*k**4 wrt k.\nAnswer: -264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -14 + (7 + -16 - -30).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1690 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 434337692 to the power of 1\/3, to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 68c?\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*l**2*z - 2*l**2 + 3*l*z + 18*l - 54*z + 17 with respect to l.\nAnswer: 16*l*z - 4*l + 3*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*a + 3565, 5*a = k - 2*k + 729. Let i = k + -486. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 0 + ((6 - 4) + -10 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.73 + -0.74. Let w = 0.21 + x. Let b = w + -2.2. Put 0.2, 0.3, b in ascending order.\nAnswer: b, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/158 (b) -0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 981 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 16\/5)\/((-75)\/250). Suppose 0 = -c - f - 2, -5*f = o*c - 3*f + 4. Which is smaller: -3\/40 or c?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10174647.\nAnswer: 3, 7, 79, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-14))**(2\/57)*(j**(2\/13))**(-8\/9))**(-1\/10) assuming j is positive.\nAnswer: j**(698\/11115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-4 + -4)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -45*q - 2 + 44*q + 4. Let c(f) = -2*f + 5. Give 5*b(v) - 2*c(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 282111 divided by 165?\nAnswer: 94037\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 333\/(-12) + 2\/(-8). Is -25 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 + 90.9. What is the nearest to 12 in 5, 4, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -6*k + 43. Let s be 34\/((k*4\/16)\/1). Let j = s - -77. What is the remainder when j is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*z + 16, 4*z - 5 = l - 0. Let i = 10 + -1. Suppose 3*q - i = -l. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 5*t**2 - 12*t - 8. Let y be j(7). Suppose -y*o + 19 = 1. What is the remainder when o is divided by (12\/3 - 2) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5*g**2 + 0 - 5.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1b17?\nAnswer: -1b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.787447 rounded to 2 dps?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2558*i**5 + 2*i**3 - 52*i**2 - 68*i wrt i?\nAnswer: -153480*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szdddtdtx. Give prob of sequence xz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-28))\/(15\/20).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 3*o**2 - 13*o. Let z(w) = -2*w**3 - 2*w**2 - 13*w. Determine -2*q(h) + 3*z(h).\nAnswer: -4*h**3 - 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3642 - 1823 - 1816 - 671*b + b**2.\nAnswer: b**2 - 671*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 2*c**2 + 2*c + 4. Let m be 3 - (2 - (4 - 2)). Let i(z) = -2*z**2 + z**m + 4 - 1 + z + 0*z**3. Let p(f) = -3*i(f) + 2*u(f). Give p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 22 - 14 + (5 + 3 - 3)*(-2 + 2 - 2))*(0*k + 2*k - k).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 + 80. Calculate the greatest common divisor of h and 455.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305177595?\nAnswer: 3, 5, 73, 278701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 14107524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -62*v**2 - 11644*v - 323. Give b(-188).\nAnswer: -2579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*p - 1826 + 181. Suppose 31*k = p*k - 8656. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413139713?\nAnswer: 7, 29, 359, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from zmzuulbbmlzllluuulbu.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -4. Suppose 7 = -3*v + 19. Solve v*l = -11 - k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10 + 10 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 7*g - 22*g. Solve 0 = c + c - g, v = c + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39088 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 37, 0.2, 244, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-78) + (831\/554 - (-3)\/18). Suppose -22\/13 - z*n - 2\/13*n**2 = 0. What is n?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:56 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -1\/4, 1\/3, -20, 12, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -54?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 10. Let h be 36 - 1 - (9 + z). Suppose -3*s = -h - 74. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 12. Determine s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s + 5*s - 8795 + 8*s - 25*s + 7*s in the form z + k*s and give z.\nAnswer: -8795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 223903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1. Let w(j) = -10*j + 13. Let p(y) = 2*a(y) - w(y). What is the derivative of p(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15251230543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*d + 43*d - 29*d.\nAnswer: 217*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 36 = 12. Let a(t) = -t**2 + 88. Let c be a(0). Suppose 0*r + 4*r - c = 0. What is the remainder when r is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 339021167890 - 339021167890.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 39*s**2 - 1. Is d(2) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = -2*t - 7, 5*t - 5*l + 15 = 0. Which is the closest to -0.1? (a) 1\/3 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 7. Let m be b(-10). Is m + (-4)\/4*-56 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3894 greater than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9565922 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 148 + 15)*(-2 - 2*b**4 + 2) in the form v*b**3 + j*b**2 + f + q*b + u*b**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 695 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 48261.69 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2821 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*g - 98*g + 216 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 44 = 2*a, 5*x + 4*a - 40 = x. Suppose -4*k = -x*k + 12. What is t in -73*t**2 + k - 2 + 5*t - 2 + 69*t**2 = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 5*z**3\/3 + 25*z**2 + 125*z + 23. Let f(w) = 0. What is w?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -517 + -2543. Let l = 3059.97387 + o. Round l to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-7\/4)*c*c*c**1 assuming c is positive.\nAnswer: c**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16598 is divided by 494?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*m - 4*n - 10, m - 6 = 3*n. Suppose 3*i = i + 5*z, m = -i + 5*z. Let f(o) = -1 - 6*o + i + 2*o. Calculate f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(17\/3)*w)**(-2\/13)\/((w\/w**21*w)\/((w**10*w*w)\/w)) assuming w is positive.\nAnswer: w**(1130\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -34. Solve 0 = 5*y - r - 5, -y - s*r + 4*r = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**3\/3 + 7*w**2 + 31*w. What is the remainder when 119 is divided by k(-13)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 * -219\nAnswer: -28251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of ((-692037)\/(-38))\/(3\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2236822 and 149\/42.\nAnswer: 6710466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 6*p**3 + p**2\/2 - 3*p. Is y(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1355501l in millilitres?\nAnswer: 135.5501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 404.6019222943 and 0.041.\nAnswer: 404.6429222943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-24 + 62 - -51) + -19 + (-5 - -8)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -9. Suppose 2*c + 3*c = 4*i + 401, q*i = -2*c - 366. What is the remainder when i\/(2\/(-1)) - 2 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + -3 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x**4 - 675*x**3 - 9204*x**2 + 7461*x + 2430 = 0. Calculate x.\nAnswer: -30, -27, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 - (3 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*m - 0 - 16, 3*s - 3*m - 15 = 0. Let w = -1371 + 1382. Find the first derivative of -8*t**3 - w + 0*t**s - 8*t**3 - 6 wrt t.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1}. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let x(n) = -2*n**2 + 3*n - 3. Let b(g) = -3*g**2 + 4*g - 4. Let v(p) = -3*b(p) + 4*x(p). Calculate o(v(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5374 - -8804. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3*(sqrt(700) - (sqrt(700) + 5 + (sqrt(700) - sqrt(700)*-1))))*-5)**2.\nAnswer: 51000*sqrt(7) + 637225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 81. Let u(l) = -2*l + 182. Let v(s) = -9*i(s) + 4*u(s). Let f(j) = -3*j + 4. What is f(w) + 4*v(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555178 bigger than 2555149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgeoggggogb. Give prob of sequence og.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 805\/460*((-16)\/215)\/(210\/(-75))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26302101 - 16?\nAnswer: 26302063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -2*r + 6*w, 0 = -5*r + 5*w + 15. Let s = 8 + -5. Let x be s*2*2\/22. Which is the smallest value? (a) 3 (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/10 + (-4)\/10. Let v(i) = -i**3 + 4*i**2 + 6*i - 3. Let d be v(j). Suppose -5*z + 2*q = -44, d*q - 28 = -3*z - z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -733.95 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*18\/336)\/(-8*(-18)\/384)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 361\/2 - 8\/(-80)*-5. What is the highest common factor of j and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (157132\/(-24)*4)\/(12\/(-5)). Let i = -10908 + n. What is the common denominator of i and 21\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*c - 3*b, 0 + 8 = 2*c - b. Suppose 5*y = w + 107, w = -c*y - 1 + 48. Is 19 a factor of (-832)\/(-22) - y\/(-121)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5559 = 241*x - 3042 - 6823 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -22. Sort -4, 2\/5, u.\nAnswer: -4, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57912\/5 + 11582. Let p = 0.2 - 0.4. What is the third biggest value in 0.1, o, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v = -4. Which is the second biggest value? (a) v (b) 3\/8 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3522 - -242425?\nAnswer: 234503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 120 = -30*v. Solve 31*n = 16*n + v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 876012371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*t + 4*t. Let s(a) = -2*a - 1. What is s(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ott when three letters picked without replacement from hvotrhhyoyott?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 27. Let o = 21 - x. Let d = o + 29. What is the remainder when 61 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -0.1, -5, 60?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 55*q - 583. Let g(b) = -2*b + 1. Let a(d) = f(d) - 3*g(d). What is the derivative of a(u) wrt u?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**5\/t)\/(t\/t**5)*(t*t\/((t\/(t\/(t\/(t\/t**0))))\/t))**17*(t**1*t)**(1\/23)*(t\/(t**(-2\/17)*t*t)*t)\/((t\/t**(-6))\/t) assuming t is positive.\nAnswer: t**(21194\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 60. Suppose 22083 = -24*r + 22347. What is k(r)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7473 - 7473 - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 664.21 to 0 decimal places.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 33 + 19 = 0. Let n(l) = -10*l + 14185*l**2 + d + 5 - 1 - 1. Let c be n(7). Round c to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 447 = 20*y + 4*b, -5*y - 5*b = -2135. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -14 - (-11 + 3 + 2 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87, -347, -781, -1389?\n\"Answer: -87*x**2 + x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 142\/145 or -1?\nAnswer: 142\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -40. What are the prime factors of (-52 + p\/(-1))*(-15)\/12?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 9 + 20. Let i = 4882 + -4753. Let b = i - z. 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 p(a) be the second derivative of 5*a**4\/12 - 2*a**3\/3 + 11*a**2\/2 - 661*a - 2. Let k(v) = -3*v**2 + 2*v - 6. Calculate -11*k(o) - 6*p(o).\nAnswer: 3*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 47256 = 48010 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-20))\/(1 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/5 - 6288*p**4\/5 + 3463377*p**3\/5 - 173678772*p**2\/5 - 113276304*p + 147320640 = 0. Calculate p.\nAnswer: -4, 1, 59, 1020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -645833.\nAnswer: 4\/645833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/2, 0.02, 0.2 in descending order.\nAnswer: 3\/2, 0.2, 0.02, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2*s**2 - 4*s**4 + (-4*s - 4*s - 2*s)*(4 - 4 - 11*s**2)*(-3*s + 2*s - s).\nAnswer: -224*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -102480, -102499, -102536, -102597, -102688, -102815, -102984?\n\"Answer: -u**3 - 3*u**2 - 3*u - 102473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, c: 9, q: 1, o: 1, e: 1, d: 1}. Give prob of sequence dqeo.\nAnswer: 1\/57120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -201 * 4.969\nAnswer: -998.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -62 - ((48 - -31) + -99)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-490)*325\/(-195).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 427120\/3560 - 226\/(-10057)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times 30156?\nAnswer: -48249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*g + 6 + 0 = 0, l = -5*g - 12. Suppose -5*a + 38 = -7. Let n(q) = q**3 - 10*q**2 + 8*q + 8. Let s be n(a). Is l > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k. Let q(v) = -992*v**2 - 114*v. Calculate m(q(o)).\nAnswer: 3968*o**2 + 456*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1366*l + 273190. What is c(200)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16569382 rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2072\/222*9\/(-12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 25*s - 6. Let l be g(-5). Let y = 186 + l. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2392 (base 11) to base 5\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkqaakwaae. Give prob of sequence qwa.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 372322 + 1732685?\nAnswer: 2105007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(847) + 1)**2 - sqrt(847)) + sqrt(847)*-2*3)*-4.\nAnswer: -20352 - 220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -29621207.5 to the nearest one thousand.\nAnswer: -29621000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v. Let y be (-1)\/(-2*2\/16). Let d(w) = 5*w. Let s(m) = y*j(m) + 10*d(m). Let b(c) = -364*c + 364*c + c**2. What is b(s(z))?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) - 6\/(-27). Suppose 0*r + 2*r - 4 = -5*x, -3*r + 3*x - 15 = k. Sort r, 5, 3 in decreasing order.\nAnswer: 5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 7*g**2 - 10*g - 20. Let j = 103 - 106. Let o be d(j). Which is the nearest to 0.3? (a) -0.3 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.896 + -32.5. Let z = k + -0.3959358. What is z rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**4 - 1361*s**3 + 69*s**2 - 7*s + 6?\nAnswer: 96*s - 8166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*x = 1488 + 72. Sort 1, -2, x, 42.\nAnswer: -2, 1, x, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-5)*((-1)\/(2576\/5159) - -2). Is a at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 20*v - 3. Let a = -19 + 21. What are the prime factors of c(a)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141.0887 and 0.2?\nAnswer: -28.21774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/1242 - 7\/(-21).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1\/(-2))\/((-9)\/4428*3) and 2.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.2. Let j be -70*(-4)\/(-40)*4. Let u be (2\/j)\/((-3)\/12). Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 - 193.9. Is z > -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**3 + 6*x**2 - 16*x - 23. Let g be z(-1). Solve -35 = -3*f + g*l, 5*l - 4*l = 3*f - 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccfecczeecqcf. What is prob of picking 1 c and 1 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41856*y**2 + 2*y + 20691?\nAnswer: 83712*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Suppose d = -4*s + 18, 2*d - d - 36 = 2*s. Let g be ((-2)\/(-7))\/(d\/14). What is the nearest to k in g, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from {u: 5, k: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v\/v**(-1)*v))\/v)*v)\/v*v**(-2))**(-1\/21)\/((v**(2\/3)\/v)**42\/(v\/(v\/(v*v**0)))**(2\/27)) assuming v is positive.\nAnswer: v**(2642\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 15 = b. Is 1\/b - 1302\/(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 2*o + 3. Let d be z(3). Suppose -4*y - 70 = 2*q, -3*y - 50 + 10 = -q. What is the units digit of (-3)\/((y\/d)\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-269)\/(-1))\/(-9 - (-236)\/26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 4:42 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22790748 greater than 22790737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhhhhhbqbhhqhhhnhhbb. What is prob of picking 1 b, 1 n, 1 q, and 1 h?\nAnswer: 64\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165206 is divided by 1206.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -361146 - 446?\nAnswer: -361625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204367 is divided by 212.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 83776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 - 4*s. Suppose -8*y + 47 - 15 = 0. Let m(u) = -5 + y*u + 6 - 2 + u - 6*u**2. Determine -3*b(n) - 2*m(n).\nAnswer: -3*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*n = -859 + 349, 0 = -n + 8. Calculate the remainder when 2174 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2279740 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(506\/(-33) + 16). Which is the nearest to 3? (a) g (b) 5 (c) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9812, 9815, 9818, 9821, 9824?\nAnswer: 9827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 13. Let j be a(0). Let p = -1 - j. Suppose 5*h - 3 - p = 0. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 380*i**2 - 2812*i + 2436.\nAnswer: -4*(i - 87)*(i - 7)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-1*-6 + sqrt(2299) + (-3*sqrt(2299) + -3)**2)*6.\nAnswer: 1650*sqrt(19) + 124200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2232535139 to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**2 + 7*k + 16. Let j(r) = 15*r**2 - 12*r - 31. Let x(l) = -5*j(l) - 9*v(l). Let u(b) = 2*b**2 + 2*b - 7. What is 8*u(s) + 5*x(s)?\nAnswer: s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 108488 = -3*q + 108464, 4*n = -3*q - 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Let t(l) = l**3 + 33*l**2 + 35*l + 113. Calculate the remainder when t(-32) is divided by a + (-9)\/(-3) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25854731, 51709457, 77564183, 103418909, 129273635?\nAnswer: 155128361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 10. Let b(l) = -3*l - q*l**3 - l + 7*l**2 - 1 - l**3 + 5*l**3. Does 9 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {c: 4, e: 15}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:38 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyig when four letters picked without replacement from gyiyggiyygiiiygyyy?\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/20 (b) 2\/13 (c) 375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-2*h + 3 - 3)*((0 - 1 + 3)*(0 + 0 + 3) + 4 - 1 - 4).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 3*v**2 - v - 8. Let g be r(0). Let l be (g - -5)*(20\/6)\/2. Is (-281307)\/(-65) + 4\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-28)\/(-8))\/7)\/(2\/(-4)). Let c be ((-27)\/54)\/(x\/10*1). What is the third derivative of 97*d**2 - 101*d**2 - 24*d**5 - 9*d**c wrt d?\nAnswer: -1980*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*g**5 + 2*g**5 + 23*g**5 + (2*g**2 + g**2 + 0*g**2)*(3*g**3 - 3*g**3 + g**3).\nAnswer: 18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 14589*x + 14731*x = 424, -4*r = 2*x + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/21 - 4\/(-63). Let p be 8\/56 + 138\/14. Let k be ((-17)\/(-255))\/(4\/p). Which is the closest to -0.1? (a) k (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*l + 15 = -1025*l + m, 0*l + 2*l - 4*m = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.6 + 0.4. Let w be (3\/2)\/((-2)\/(-32)*-6). Let s = -12.5 + 12.4. What is the third smallest value in s, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 2. Let p(g) = 6*g + 4 - 3 + 4*g**2 - 3*g**2 - 2*g**2. Let c be p(7). Give i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 36, 59, 84, 111, 140?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/4378806 and 14\/135.\nAnswer: 21894030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85055, -85054, -85053, -85052?\n\"Answer: l - 85056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7)**(31\/3)*(f\/(f*f*f**(-2\/27)\/f))**(-43) assuming f is positive.\nAnswer: f**(1867\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-15) - (-1522)\/6. Let u = 435 - t. What are the prime factors of u?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*sqrt(3))**2 - sqrt(3)) + (sqrt(3)*-3 + 0 - sqrt(3)).\nAnswer: -25*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*b - o - 50, 0 = 2*b - 3*o - 20. Suppose 0 = 4*v - 16, 2*u + 14 + b = 5*v. Is 38 - -2*(-1)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from vkv?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 140.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.59 - -2162522.\nAnswer: 2162549.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107.1681408ns to weeks.\nAnswer: 0.000000000000177196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88.5 + -90. What is the closest to 1 in 5, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnchaeaeeeaenae. Give prob of sequence hc.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 5*u**2 + 0*u**2. Let o(j) = j**2 + 7*j + 10. Let y be o(-5). Let n(r) = y*r + 2*r**2 + r - r. What is d(n(f))?\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*c**2 + 1 + 57*c + 25*c + 27 + 20*c = 0. Calculate c.\nAnswer: -7, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 19*i + 15*i = -16, 6 = -3*i. Let z be r\/15 + 10\/(-25). Solve -2*c - 2*q - 4 = z, -2*c + 2*q - 17 + 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.74 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -21*u**3 - 17*u**2 + 9*u + 9. Let w(d) = -5*d**3 - 4*d**2 + 2*d + 2. What is -2*l(g) + 9*w(g)?\nAnswer: -3*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256.8853 + -0.3947. Let f = 254 + y. Round f to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (30\/18)\/(1\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88699 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-8))\/(3 - 0))\/((-18)\/(-180)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - 3 + 6 + w**2 - 1 + 4 in the form d + r*w**2 + u*w**4 + o*w + v*w**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 10:01 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 466043829 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -833.\nAnswer: -2\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63062881 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 + 77*k**2\/2 + 6935*k\/4 + 17328.\nAnswer: -(k - 192)*(k + 19)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/9 + 286*u**2\/3 - 11021*u\/9 + 3380 = 0. Calculate u.\nAnswer: 4, 9, 845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33014222 (base 6) to base 15.\nAnswer: 145e82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 - -3337\/20. Suppose -5*u + 27 = -z + 769, z - 2*u - 733 = 0. Let v = z + -8665\/12. Find the common denominator of w and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -1. Let x be (-10)\/(-2) - ((-12)\/4)\/(-3). Which is the nearest to 1\/3? (a) x (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57726451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(75)) + (sqrt(75) + -1)*6 + -5)**2 + -1.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h + 737 + 1238 = -545 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 7 + 10 + 6 + 5*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343)*-1*3 + -5)**2.\nAnswer: 140*sqrt(7) + 1397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:20 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.4, -0.54?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -3)*(-2)\/(-2). Suppose -3*u - 3*s + 5 - 32 = 0, -4*u - 43 = -3*s. Let y = w - u. Solve 3*b - y = f, -f + 3*f - 8 = -3*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 3, v: 6, h: 4, d: 2}. Give prob of sequence hd.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806547 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81371751?\nAnswer: 3, 71, 103, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4664)\/(-1060)*(-1020)\/(-462))\/((-1)\/(-7)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6138 + 6138.3. Suppose -3*w = -2*w - 18. Put -5, w, i in ascending order.\nAnswer: -5, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-15) - (-34)\/10. Suppose 2 = -d*h + 8. Solve 5*c + 3*a - 3 = -5, -h*a - 14 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v - 118*v = -75 + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k**3 - k)*(-2 + 2 + 2) + 16*k**3 + 43 - 43.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -208262853.8 to the nearest 1000.\nAnswer: -208263000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*p + 2369, -42 = -3*p - a + 1733. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:27 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 31123 (base 9) to base 8\nAnswer: 50042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**3 - 2*r**2 - 3*r + 5. Let s(y) = 5*y**3 + y**2 + 2*y - 3. Let z(b) = -3*h(b) - 5*s(b). Suppose 4 = v + 3*v. What is the units digit of z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*m - 22, -m + z + 15 = 4*z. Suppose 16 = 5*d - m. Find the second derivative of -t**5 - 2*t - t**d + t wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9039 + 9035. Which is the nearest to -8\/3? (a) -5 (b) 1\/5 (c) -0.3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*((u*u**33)\/u*u*u)\/u)\/u*u))\/(u*u**(2\/9)) assuming u is positive.\nAnswer: u**(-317\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 2, e: 2, r: 1, w: 1}. Give prob of sequence evw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*(70\/15 + -3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8527460 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61175*l + 10 - 6*l**5 + 149 - 3*l**5 - 61181*l - 47*l**2 wrt l?\nAnswer: -180*l**3 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q\/(q*q**23)*q)\/q)**(-25\/6)\/(q\/(q*q*q*q*q**(-20)))**(-19))**30 assuming q is positive.\nAnswer: q**12315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -260745*n**2 + 10238*n - 6 wrt n.\nAnswer: -521490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 29*x - 11*x + 167 + 9296*x**2 - 181. Let k be u(11). What is k rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(50\/15))\/((-15)\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 657342\nAnswer: 26293.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*o**3 - 6*o**4 - 226*o**3 + 115*o**3 - 2 - 10*o**2 + 17*o**4 in the form u*o**2 + m + f*o**4 + v*o**3 + s*o and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 2*p = 48*m + 248, 3054*m - 3051*m - 5*p = 65 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {v: 3, e: 5, h: 3, r: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 178 = -168. Suppose 3*b - l*c - 191 = -16, 5*b - 317 = 2*c. Calculate the highest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 2, -47, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-21))\/((-954)\/(-27825))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*((-4320)\/(-140))\/(-36).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-616)\/(-504)*-9*(-2)\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + w**3 - 2*w**3 + (-101 + 1837 + 1963)*(-2*w**3 + 3*w**3 - 2*w**3).\nAnswer: -3698*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -2, -15, -34?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a - 1. Let i(h) = h**3 + 3*h**2 + h - 1. Let v be i(-2). Let p be d(v). Let x = p - -2. Put 1, 2, x in increasing order.\nAnswer: x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83656501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 6983020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1812.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f + 21 = 0. What is the units digit of -42*((-21)\/(-6))\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(891) + 4)**2.\nAnswer: 18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21984\/7557*(-33)\/3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = f - 51, -3*f - 6 = 0. Calculate the remainder when 210 is divided by c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -88, 133 in increasing order.\nAnswer: -88, -2, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 126 = 19*u. Suppose 0 = 2*l - p - 15, -12*l + u*l = 5*p - 45. What is the remainder when 59 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1700 and 60520?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -46. Sort -3, o, 1, 2 in descending order.\nAnswer: o, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 18837.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038145 to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1 - 3 - 3*b**2 + 13*b**2. Let s(t) = 10*t**2 - 2. Let h(z) = 2*a(z) - 3*s(z). What is the derivative of h(f) wrt f?\nAnswer: -20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -70*v + 73*v. Suppose 5*b - m - m - 53 = 0, 2*b + 2 = -5*m. Solve -5*n + v*f = b, n = 2*n + f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.6 - 6.6. Let c = 6 + -1. Put -2\/13, c, j in decreasing order.\nAnswer: c, j, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5098300 by 2549150.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (884\/(-286))\/((-9)\/99).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:44 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 6*b - 25. Let m be c(-14). Let r be 35061\/m - (-1 - -5). What is the highest common factor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23962.\nAnswer: 2, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - q**3 - 3*q**3 + 2*q**3 + (-4*q - 2*q + 3*q)*(3*q**2 + 2*q**2 - 3*q**2).\nAnswer: -8*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 - 3 - 9*i - 3*i. Suppose -27*c + 184 = 19*c. Let q be d(c). Round q to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - -1.99. Let i = 2.5 + -2.4. Let v = 6 - 5.5. Which is the nearest to i? (a) 0.4 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 6. Give x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -9. Let p be 3\/5 - (-4572)\/(-45) - -3. Let d = -94 - p. Solve d = -s*q + 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - -14) - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6228 - 112103\/18. Let z = -0.1 - -0.4. What is the nearest to l in z, 1, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2489811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.3 + -29. Let h = -0.11 + 5.11. Which is the third biggest value? (a) -1 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.87 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/(-2*1\/3). Let g be u\/10 + 8\/40. Is (-12)\/g*614\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136992 at most 547969\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*g - 4 = 0, -9*n - 3*g = -13*n - 6. Suppose n = 33*u - 51 - 48. Let w be (4\/3)\/((-1)\/(-3)). Solve 0 = w*t + u*b + 4, 4*b = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*r**4 - r + 71 wrt r.\nAnswer: 192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*m*p**2 + 14*m*p + 17*p**2 - 7*p - 8 wrt m.\nAnswer: 92*p**2 + 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1) - 70\/(-98).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*a = 549*a + 39 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1754 = x - 4*m, -3*x + 2604 = -3*m. What is the third derivative of -48*v**4 + x*v + 45*v**2 - 871*v wrt v?\nAnswer: -1152*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*x - 1730 - 1970. Put 0, -1, x in decreasing order.\nAnswer: 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 7 + 2*l**2 + 6 + 3*l + (-39*l + 39*l + 14*l**2)*(-5 + 3 + 0) to b*l + o*l**2 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1317220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.26 - 0.74. What is the smallest value in c, 4, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239891 is divided by 103323.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 - 7271 - 2154 = 140*w for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**2 + 6 - 2 - 2*l**3 - 9*l**2 + 2*l**4 - 2 in the form f*l + b + v*l**3 + z*l**2 + o*l**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 190, 383, 622, 889?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/54 + (-256308)\/17172?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266271?\nAnswer: 3, 17, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -3001?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468719574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.12 (b) 2.5 (c) -11 (d) -323\/2 (e) -2 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39846, 39843, 39840, 39837?\n\"Answer: -3*h + 39849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076891 plus 0.327?\nAnswer: 0.250109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.208, -1\/3, -4?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 6. Let i(y) = 1. Let d(b) = 7*b**2 + 30*b + 3. Let g be d(-5). Suppose -8*p + 216 = g*p. Calculate p*i(v) - l(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**5\/30 - a**4\/8 - 2*a**3\/3 + 8*a**2. Let i(g) = -g**2 - 3*g - 3. Give -4*i(u) + 3*r(u).\nAnswer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*1*(-3)\/6. Let q be (3\/1)\/(-21) + 340\/(-70). Put 4, i, q, -1 in decreasing order.\nAnswer: 4, i, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 9*t - 15. Suppose -m = 2*m + t*i - 8, -3*m = -3*i. Calculate the remainder when 163 is divided by (1*22\/(-8))\/(m\/(-12)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*l**3*r + 62*l**3 + 12*l**2*r - 111*r wrt l?\nAnswer: -750*r + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -0.06 (c) -2\/5 (d) 8 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w - 3*w - 6*w in the form x*w + o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -621236 divided by -22?\nAnswer: 28238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14508246 and 4304.\nAnswer: 116065968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 n when four letters picked without replacement from {n: 4, o: 5, b: 2, y: 2, f: 1}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let i = 210 + -184.6. Round i to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4331*i - 21 - 40 - 16.\nAnswer: 4331*i - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 28. Suppose 0*c + l - 37 = 4*c, -21 = 3*c - 3*l. Let k = c + 16. Calculate the remainder when t is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 4*z = -3*h - 12, -h + z + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 6:06 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61686095101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 16*j**2 + 32*j + 65. Determine c(-9).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (220\/(-77))\/((-2)\/238*2). What is the derivative of 20*q + 248 + 86*q - n wrt q?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 290 * -1300.1.\nAnswer: -377029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -2, 45, 142, 307, 558, 913?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74.615 + 68.6. Let t = 13 + -7. Let j = s + t. Round j to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -2, 4, 1, 5.\nAnswer: -2, 1, 2, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*(-1)\/(-6 - 12)*((-1326)\/52 - -18)?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -2110224055?\nAnswer: -2110224052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 86 - 42 = 0. Solve 9 = 3*d - l + 4*l, p*l = 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 540 = 3*z, 3*s - 6*z - 505 = -2*z. Calculate the highest common divisor of s and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -896077.419 rounded to the nearest one thousand?\nAnswer: -896000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/14)*k)\/(k\/(k*k*(k\/(k*k**(-4)))\/k)))**32 assuming k is positive.\nAnswer: k**(1168\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2\/7 + 48*a\/7 + 144\/7 = 0?\nAnswer: -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -7*d**6\/6 + d**5\/5 + 17*d**4\/2 + 539*d**2\/2 + 4194. Find the second derivative of i(z) wrt z.\nAnswer: -140*z**3 + 12*z**2 + 204*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from uuuwuw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 21 - (17 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - 4*u**2 - 3*u - 5. Let y = 18 + -8. Calculate the smallest common multiple of y and n(-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134388283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/24 - (-31)\/(-6). Let g(k) be the first derivative of -2*k**2 + 7*k - 4901. Let r(u) = -3*u + 6. Give v*g(b) + 6*r(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 43 = -33 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -551*l**3. Let v(m) = 10*m**3 + 102*m**3 - 89*m**3. What is -6*n(p) - 145*v(p)?\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2413 + 2409. What is the closest to -1\/4 in -0.16, 1, v, -0.4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81.9 + -82. Let k = 172 + -170. Which is the second biggest value? (a) r (b) 1\/5 (c) 0.1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110101 + 100101?\nAnswer: -100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34250*z - 17118*z - 3 - 17131*z.\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413 = 147*t + 2416 + 55 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -119 divided by -22\nAnswer: 119\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/41)\/((h\/(h*h**(-12)))\/h))\/((h**(3\/5)*h*h)\/((h**(-7)*h)\/h)) assuming h is positive.\nAnswer: h**(-4233\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96721 and 5909.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11915 + -6648. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2951133 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -17*a + 20. Let v be m(-4). What is the highest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 + -787\/9. Let t = 100543\/4 + -24984. Let i = -151 + t. What is the second smallest value in i, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217077711*o**3 + 43778*o**2 + 918 wrt o?\nAnswer: 1302466266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umhh when four letters picked without replacement from mbhbummmmmmbvmmhbbhm?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1697\/8 + 5393\/24. Calculate the common denominator of x and 43\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -239784\/5 + 47796. Let f = -162 - a. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -4. Let h be (n - -5) + (-8)\/(-1). Suppose -h*s + 48 = -7*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 + 186. Which is the third biggest value? (a) 4 (b) i (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:15 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -800 - -794. Let b(m) = -23*m + 18. Let x(r) = 4*r. Let i(k) = l*x(k) - b(k). Calculate i(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 4:24 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1c38?\nAnswer: -1c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*n + 14. Let t = n - -3. Suppose t*l - 341 = 79. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**5 - 4*s**5 + 7*s**5)*(0 + 2 - 3) + (-2*s**4 + s**4 + 2*s**4)*(2*s - 3*s + 3*s).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374 - -299. Let k be 3\/9 + 2950\/i. Which is greater: -202\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -523 + 528. Let b = -10 - -16. Suppose -5*k - 13 = -3*x - 37, -4*x = -5*k + 27. Solve 0 = -c + 5*z + 3, -o*c + k*z + z = b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157*x - 2*x**2 + 360*x**3 - 417*x**3 - 1068*x**3 + 3*x**2 - 4 - 2*x**2 wrt x.\nAnswer: -6750*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1509 + 2283 = 158*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*a**3 + 1 - 8*a**3)*(7*a - 23*a - 41*a).\nAnswer: 285*a**4 - 114*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52495232964.1 - 18.\nAnswer: 52495232946.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 7605, -2\/3, 2\/7, 1\/3, 0.4 in ascending order.\nAnswer: -21, -2\/3, 2\/7, 1\/3, 0.4, 7605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/156*(-9)\/(-2) and 38\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3363935, -6727862, -10091789, -13455716?\n\"Answer: -3363927*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 152.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 + 1 - 2282\/(-815). Solve 3*z - 6 = 0, 15 = t*f - 2*z + 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 264*p**2 + 59*p - 59. Give u(1).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 80 = 6*s. Suppose k = -39 + 41. Find the common denominator of (87\/s - k) + -1 and 37\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 2.01?\nAnswer: -36.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 2*x**3 + 0*x**3)*(-2*x + 2*x + 2*x**2) + (-25 - 24 + 13)*(0*x**5 - 2*x**5 + x**5).\nAnswer: 32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4800)\/(-128))\/(1*(-15)\/10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(171) - -3*(sqrt(171)*-3 + sqrt(171))) + sqrt(171) + sqrt(171))*1)\/(sqrt(1089)*2*1))**2.\nAnswer: 171\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16 - (-1508)\/91)*84. Calculate the highest common factor of 2704 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36168 and 12622632?\nAnswer: 12622632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -392\/9 = -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 90, 321, 706, 1245, 1938, 2785?\n\"Answer: 77*h**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -220.32213 - -220.3. What is b rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -99.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + x = 7, 21*y + 5*x - 65 = -19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 29*g**4\/4 - 4*g**3\/3 + 2*g**2 - 375. Let i(s) = 30*s**3 - 5*s**2 + 5*s. Give -4*i(u) + 5*p(u).\nAnswer: 25*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19856*v**3*x**2 - 2*v**3 + 3*v**2 + 4*v*x**2 - 920*v - 18 wrt x.\nAnswer: 39712*v**3*x + 8*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 8*i**2 + 2*i - 24. Calculate v(7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1428*q - 16 = -1426*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.1 (c) -0.168 (d) -2\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1161642*r**2 - 23017*r wrt r?\nAnswer: 2323284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -264*(77\/12 + 26028\/(-3856))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*m + 5, -128*k + 65*k = -60*k - m - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - z + 0 + (-1 - 1 + 1 + (0 + 1 - 2)*(4 - 1 + 0) + 2 + 3 - 4)*(-76*z - 2 + 18*z - 5*z).\nAnswer: 188*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 207 + 207. Suppose 0 = -2*q - 0*q + 4. Let x(g) = -4*g**2 + 0*g**2 + 2*g**q. Give x(v(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-228)\/266\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.4. Let u = 464\/1185 - -2\/237. Suppose -s = -6*s - 5. Sort s, r, u.\nAnswer: s, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97375.86l?\nAnswer: 97375860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4699*l - 23075 wrt l?\nAnswer: 4699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-9)\/(-1)*(-9)\/(-351)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.88 + -4.7. Sort 2, 0, q in decreasing order.\nAnswer: 2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*-6*1*sqrt(245))**2 + 1)*-6.\nAnswer: -52926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 + 134641*b**5 - 218*b**2 - 1168*b wrt b.\nAnswer: 240*b**3 + 8078460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + z + 212 + z**4 - 220 - 2*z**4 as s*z + j*z**2 + t + q*z**4 + d*z**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33436?\nAnswer: 2, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-266)\/(-152)*(240\/(-35))\/8)\/((-136)\/(-96))\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339477, 339478, 339479?\nAnswer: 339480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*u**2 - 4 + 9*u**2 + 7*u**2 - 2*u**2 + 2*u**2 + 2*u**2 + (-3*u + 4*u - 3*u)*(u - 2*u - u) + 2*u**2 + u**2 - 2*u**2 as f + r*u**2 + z*u and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.474 + 1968040?\nAnswer: 1968033.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 2. Let p be n(2). Suppose 0 = 11*g - 21*g + 8970. Let j = 897 - g. Solve j = p*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 - -102) + (-1 - 3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.2, 70, -5 in decreasing order.\nAnswer: 70, 1\/5, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 - 5*y**2 + y**2 - 3*y + 0*y + 4*y + y**2 + (y - 2*y + 0*y)*(3*y + 4*y - 5*y) in the form s + a*y + v*y**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62714, -250895, -564530, -1003619, -1568162, -2258159?\n\"Answer: -62727*i**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbmbbmmmbmbm. Give prob of sequence bbbb.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1981, -3979, -5977, -7975, -9973?\n\"Answer: -1998*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) - 116\/(-10). Let l(u) = 7*u - 57. Let w be l(7). Let q = w + k. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1350 + -1346. Let d(l) = l**3 + 8*l**2 - 2. Let p be d(-8). Let f be (p - -3)*0\/(-2). Solve -8 = g*n - f*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/79200 and -69\/68600?\nAnswer: 27165600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 + -31403?\nAnswer: -32101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4 + -5)*60\/(-35). Suppose 0 = 3*w + w - 12. Find the second derivative of z*x - x**w + x**3 + x**3 wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294543 - 294378 = -5*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 4. Let o be (-22)\/((6\/18)\/(2\/(-12))). Suppose o*n = 16 - 5. Put n, i, 2 in increasing order.\nAnswer: i, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - -842*1\/(-6). Let y = 16399\/120 + r. Calculate the common denominator of y and -57\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.035 + 1.965. Sort t, 2\/11, 7, 4\/5 in decreasing order.\nAnswer: 7, t, 4\/5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.88322 - -17\nAnswer: 21.88322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 90\/123239?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -1\/2*w**6 + 0*w + 5 + 1\/2*w**2 + 0*w**5 + 0*w**4 + 0*w**3. Find the second derivative of q(b) wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*b + 6790 - 166 = 0, 5*a = -3*b + 32959. What is the remainder when a is divided by 120?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = p + 3*q, 4*p + 5*q = 17. Find the third derivative of 7*l**2 - 14*l**2 - 5*l**2 - 9*l**2 - 9*l**p wrt l.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-3) + (-505)\/(-35) + (-9)\/21. Suppose 4*r - 78 = -30. Suppose 3*n - r = n. Is y at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-205 + 378 + 281)*(0*u - 3*u + u) as i + r*u and give r.\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43276, 86656, 130026, 173386?\nAnswer: 216736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/2)\/r))**(-2\/89)*r**(1\/8)\/(r\/r**7) assuming r is positive.\nAnswer: r**(4321\/712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41358 + -15254. What is the highest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 129\/(-4) + 6\/(-8). Let h = -79 - m. Does 9 divide h\/(-5) - 6\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 9, -0.4811, -27, 2?\nAnswer: -0.4811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*c + 3*b = 351*c + 29, 5*c = 2*b - 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372 and 193004636?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1.176 (b) 0.025 (c) -0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3840)\/(-528))\/(-20))\/((-4)\/242).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 4 = 12*h. What is the units digit of (-1 + (h - -10))*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3\/2, 3, 4\/19, 5 in ascending order.\nAnswer: 4\/19, 0.5, 3\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 - (-480)\/25. Suppose z = 4*w - 13. Suppose -3*d + w = c, -41 = -5*c - 2*d + 12. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (4 - (3 + -5)). Let p be ((32\/20)\/c)\/((-4)\/190). Let y = 67 - p. Calculate the greatest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/122876 and 17\/22.\nAnswer: 1351636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, g: 6}. What is prob of picking 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = 4. Let y be (-4)\/2*550000\/q. Round y to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 + -285. Let w = 36 - b. What is the remainder when w is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**3 - 11. Let v be o(-11). Find the common denominator of v\/(-1980) + 1 + 3 and 53\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, -2, -14, -30, -50?\n\"Answer: -2*p**2 - 2*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 4. Let m be i(4). Calculate the greatest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 28. Suppose -2*a - 15 = 3*a, -5*a = 3*m + 15. Suppose -r - 14 = 3*z - m*z, 2*r - 16 = 5*z. Sort c, 6, r.\nAnswer: c, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 345*b**2 - 13*b - 13. List the prime factors of o(3).\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let q(x) = 19*x**2 + 65*x + 3. Let n(y) = 28*y**2 + 97*y + 5. Let s(c) = 5*n(c) - 7*q(c). Let o(h) = -6*i(h) + s(h). Is o(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 6 = -2*w, -w + 2*w = 5*i + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 47*w - 3*w**2 + 4 + w**3 - 110*w + 57*w. Let g be s(4). Which is the nearest to 1\/2? (a) -2 (b) -0.1 (c) -1\/3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231113 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from ssvsssissvivvs.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(3 + -4 + 3). Let -53*z**3 - 5*z**2 + 41*z**3 - x*z**4 - 7*z**2 = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008\/(-42) - 1232\/(-55)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 176*a**2 + a - 2 - 169*a**2 - 6*a**3 + 3*a**3 to b*a + t*a**3 + c*a**2 + k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/62, -5, -1.9, -3?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.1 - -31.1. Let v = 23 - g. Which is smaller: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 68 + 121 - y**3 + 41*y**4 - 52 as x*y**4 + z*y**2 + j*y + p*y**3 + c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 782\/7 - 112. Let d be (-8)\/(-12) + (-8)\/15. Which is the third smallest value? (a) 3 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 1:33 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 8293428?\nAnswer: 8293423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 510, -2, 178, 5, 4 in descending order.\nAnswer: 510, 178, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4 (c) 0.24835 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -293*n**2 + 577*n + 6. What is m(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*n - 4*n + 185 = 0, -3*i = -4*n - 161. What is i rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from ppajgvx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 12:12 PM?\nAnswer: 534","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3*m - 10 + 0 - 17)*(-22*m**2 - 69*m**2 + 26*m**2).\nAnswer: 195*m**3 + 1300*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14510*a**3*p**2 - a**3*x + 22*a**2*p**2*x + 11*a**2*p**2 + 11*a**2*p*x wrt a.\nAnswer: -87060*p**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 + 83. Which is the second biggest value? (a) x (b) 4\/7 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-11 + 6 - -1) - (3 + -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 + (-164)\/(-3). Let z(h) = -11*h - 1. Let t be z(-1). Let i be 355\/t - (-1)\/2. What is the highest common divisor of i and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m - 400 = 24*m. Calculate the least common multiple of 2 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by -21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 5*f**2 + 3*f - 1. Let j be u(3). Let b be ((-201964)\/70)\/((-2)\/j). Let i = 6726 + b. Round i to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7949 less than -4.05776?\nAnswer: -0.26286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640199857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*c = 546, -q + 211 + 305 = 2*c. Let d = -6834\/13 + q. Factor -2\/13 + 0*x**3 + 0*x + d*x**2 - 2\/13*x**4.\nAnswer: -2*(x - 1)**2*(x + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.2 - 7. Let h = 0 + a. Let k = h - -2.895. What is k rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose 0 = -5*k - a*k - 30. Let t(u) = u**3 - 7*u**2 + 25*u - 120. Let b be t(6). Is b equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 506*d.\nAnswer: 2*d*(d + 253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(5*y**4 + 0*y**4 + y**4) + 33*y**4 + 53*y - 30*y**4 - 7*y in the form i*y + s*y**2 + m*y**3 + d*y**4 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1. Let x(r) = 20*r - 17. Let m(t) = -3*s(t) + x(t). Is m(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59392777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 14 + 173 = 0. Let s = -38 - g. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/17095 and -56\/55.\nAnswer: 188045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.18437 = 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21651636 to the power of 1\/2, to the nearest integer?\nAnswer: 4653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 677 - 657. Let x be h\/(-35) - 11\/(308\/(-1136)). Solve k = -7*k - x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d + 4. Let o = -13 - -18. Let u(k) = 325*k + 1000. Calculate the remainder when a(o) is divided by u(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55 and 0.5?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 2537304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17310822 and 105.\nAnswer: 605878770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.2 and -2.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67897229 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -1. Let w = 46497 + -46498. Which is the smallest value? (a) -2 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 731630140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15742 or 13557?\nAnswer: 13557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = t + 17. Let k = t + 132. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -9\/26589800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 10. Let t = 6 - 2. Calculate the smallest common multiple of t and c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001858117 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1942)\/2913*6\/56?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*f + 11*f + 2*o - 9302784, -2*o = 4*f + 2862416. What is f rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16458378 + 27958378. Suppose 4*t + u = -t. What is t rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/((-2)\/6*15\/(-1)*(-36)\/(-72)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + -0.062. Let l = -0.0251 - 0.0511. Let w = r + l. Round w to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*p + 2, -33*z + 31*z + 5 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (301 - 184 + 425 + 625)*(b + b - 5*b) as m + g*b and give g.\nAnswer: -3501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*a**2 + 22*a**2 + 24*a**2)*(-11*a**2 + 5*a**2 - a**2) to t*a + i + g*a**4 + b*a**2 + z*a**3 and give g.\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**3 - w**2 - w - 1. Let x(s) = -974*s**3 + 112*s**2 - 3*s - 3. Let q(j) = -x(j) + 3*z(j). Find the third derivative of q(k) wrt k.\nAnswer: 5952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, -11502, 2 in decreasing order.\nAnswer: 5, 2, -2, -4, -11502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28, -263.\nAnswer: -263, -28, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*y - 89 - 61 = 0. Put -52, 1, y in increasing order.\nAnswer: -52, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164012.87 rounded to the nearest 100?\nAnswer: 1164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 185657 to the nearest one hundred.\nAnswer: 185700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, 8, 5, -6024, -5 in increasing order.\nAnswer: -6024, -5, -4, 5, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389 - 397. What is the remainder when 19\/(j\/(-4*6)) is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19*4*6\/264 and -3\/221?\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68435 - -97686. Differentiate -73 + f*w - 29251*w + 16*w**4 + 35*w**4 with respect to w.\nAnswer: 204*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + 3*r**3 - 15*r**2 - 5*r + 9 - 4*r**2 - 6*r**2 + 24*r**2 to s*r**2 + o*r**3 + a*r + d and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7451*m + 3261. Let a(j) = -3731*j - 1630. Let o(p) = -7*a(p) - 4*s(p). Find the first derivative of o(d) wrt d.\nAnswer: -3687","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/75 and 86\/375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - (19 - 13 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9\/(-6)*(-4)\/1 and ((-27612)\/7670)\/((-53)\/(-210) + 2\/(-7))?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -434808332354 and 3.\nAnswer: -434808332351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1101 - 1107 = -4*v + 5*p, 3*p + 159 = 6*v + 141 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5620945 is divided by 398?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w**3 - 130*w**2 + 52*w + 271. What is p(-19)?\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/2 - 2 = 0. What is b?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 3*m + 1. Suppose 23*a + 4*a + 33 = 168. Let l(i) = -6*i**2 + 7*i - 3. Give a*u(s) + 2*l(s).\nAnswer: 3*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 552 + 2911936\nAnswer: 2912488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(76) + 0)**2 - sqrt(76)) + 4 + ((sqrt(76) - (sqrt(76) - sqrt(76)*1))*-5*2)**2.\nAnswer: -2*sqrt(19) + 7677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11332340 rounded to the nearest ten thousand?\nAnswer: -11330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -123*n**4\/4 - 4*n**3\/3 - 415*n**2\/2 + 565. Find the second derivative of q(d) wrt d.\nAnswer: -738*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -452, -882, -1310, -1736, -2160, -2582, -3002?\nAnswer: -3420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (8 - 10) - 13 - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 9:56 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121)*2*4)\/(sqrt(55)\/(1*sqrt(5))) + (-2*sqrt(77)*5)\/(sqrt(7) + 1*sqrt(7)*-3 + sqrt(7)).\nAnswer: 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/10 + x**4\/6 + 14*x. Factor w(h).\nAnswer: 2*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 578 + -571.91. Let t = a + -6. Let l = t + -0.090031. What is l rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*64\/(-120)*2\/((1050\/(-125))\/21)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:06 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3066\/730)\/(84\/180)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + y + 27, j + 4*y = 11. Let n = j - 11. Let w = n - -30. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -498, 3, -5, -2, 4\/7 in ascending order.\nAnswer: -498, -5, -2, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 21623908*a**3 - 10811929*a**3 - 10811927*a**3 - 1.\nAnswer: 52*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 722513 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4. Solve -3*p - 2*p = 4*d - 31, 4*p + 2*d - 20 = c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 6, 7*k + 1058 = b + 6*k. Let a = b - 242. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1127 divide 6420519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -2*b + 14, 26*w - 22*w = b - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4*(-20 + 8). Suppose q*u = k - 14 + 2, k = 4*u + 16. Suppose k = -3*x + 5*g + 104, -2*x - 2*g = -6*x + 120. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = 29*x - 296*p + 300*p, x - 83*p = -908 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + 13\/5. Suppose -w*r = -r. Suppose 4*x = -r*x + 208. Is x a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 18 - 2 = 4*t, -5*t = -4*b - 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - m**4 + 6*m - 34 + 20 - m**2 to a*m**4 + n*m**3 + q + z*m**2 + v*m and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 96.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2701 + 0.0901. What is m rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1597 and 2267.3.\nAnswer: 3620878.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.551, -5 in descending order.\nAnswer: 2, 0.551, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26936025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(1008) + -4 + -1.\nAnswer: -36*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 16 + 2 = 0. Suppose v*q = x + 542, -3*x - 548 = -3*q + x. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 5*p + 2. Let n(y) = -6*y + 1. Let d(z) = -z**2 + 25*z - 4. Let u(x) = 2*d(x) + 9*n(x). Determine -4*a(o) + 5*u(o).\nAnswer: -2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318665941?\nAnswer: 31, 73, 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2854, 11143, 24960, 44305, 69178, 99579, 135508?\n\"Answer: 2764*t**2 - 3*t + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -2\/45777855?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 31*z**2 + 67*z - 28. Let s be u(33). Is s > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 - 0.42. Let w be (2\/4)\/(117\/(-18) + 8). What is the closest to w in -4\/13, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7))**(6\/23))**(2\/31) assuming x is positive.\nAnswer: x**(24\/4991)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*m + 216 = -108 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/10 and 27\/2648.\nAnswer: 13240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 246 = -5*u + 204 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 12. Suppose -p + a*p - 230 = 0. Is 1*p\/(-4)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 1, y: 1, w: 2, g: 2}. Give prob of sequence hp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.97 + 1.03. Put -0.4, u, 2\/13, -0.5 in decreasing order.\nAnswer: u, 2\/13, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245527656 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2482 = 9*b - 146. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5929797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3061 - 3017. Calculate the lowest common multiple of 18 and l.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*k**2 + 2426*k**2 + 2680*k**2 + 363*k**2 + 52*k**2.\nAnswer: 5225*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -308 + 309. Let w be m*42\/(-6) - -47. Which is greater: w or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652020079 to the power of 1\/2, to the nearest integer?\nAnswer: 40645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 43. Let w be o(-19). Let f = 1.6 + -2. Let h = f + 0.3. Which is the nearest to h? (a) w (b) 3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-247)\/858 + 5\/6.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21488*n = -21994*n + 5566 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 441 = 2*w. List the prime factors of (6 - (-308)\/w) + (-970)\/(-14).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 2969478526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7620400163 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24688\/(-1944180)*(-42)\/4\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 6*k**2 - k**2 + 3*k**2 + 7*k**2.\nAnswer: 3*k**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1568 and 1.29?\nAnswer: 1566.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17620*d + 1070229 = -4009*d + 225112 - 134875 for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 28 = -0. Let f be 1 + -4 + 1*6. Let v(k) = f*k - 3 + 1 + 2 - 4. Let t(i) = -i + 1. Determine b*t(r) - 4*v(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.904518 centuries to millennia.\nAnswer: 0.3904518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -675988 + 357229. Is (-4)\/16 + -6 + p\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/190)\/(18\/(-20))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j**3 + 4*j**2 - 4*j**2)*(-4 + 4 + 7)*(3 + 0 - 2) to the form f + n*j**2 + r*j**3 + k*j and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12180\/120*(-120)\/(-7). Let f = -741 + g. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, 10121, 0.5, -0.01, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -7. Suppose -v + 4*v = h. Let y(r) = -r**3 - 6*r**2 + v + 2*r - 7*r + r. Calculate y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -6. Put -1, -1\/2, k in decreasing order.\nAnswer: -1\/2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4308\/(-3590))\/(-26*(-1)\/(-4)*4\/(-10))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7092952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3234aa (base 13) to base 16.\nAnswer: -11fb28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*g + 868, -3*c - c = -3*g + 3472. Let b be (56002\/12*(-5 - -7))\/c. Let o = -2\/651 - b. What is the common denominator of o and 149\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 2615.4?\nAnswer: 2615.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 10*c**2 - 33*c + 28. What are the prime factors of r(19)?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, -5, 128945 in increasing order.\nAnswer: -168, -5, 128945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 7*y + 20. Let k(j) be the second derivative of j**4\/6 + 6965*j. Give g(k(m)).\nAnswer: 12*m**4 + 14*m**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -861 < -839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1108*d. Let j(x) be the third derivative of x**5\/30 - x**2 + 144. What is j(r(k))?\nAnswer: 2455328*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4327 - -6284. Suppose 5*b - r = -3*d, 4*d = b + 3559 - 919. Let g(h) = -663 + d + 2*h**3 - 7*h**2 - h**3. What is g(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/8, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 2187974.7?\nAnswer: -10939873.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -759345\/58 - -13093. What is the common denominator of y and 35\/58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26\/133 + 295\/532. Put v, 16, -4\/11 in descending order.\nAnswer: 16, v, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1137 - -6865\/6. Find the common denominator of d and 133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3571000 to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 = 5*t + 8, 3*t + 4*h = 0. Solve 0*p = -t*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112, 227, 416, 679, 1016?\n\"Answer: 37*l**2 + 4*l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let y(w) = w + 8. Let t be y(-4). Let q(b) = -3*b - b + 5*b + t*b. What is q(f(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - b - 3*b = 0, -5*t = 3*b + 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and -4 - -179 - (28 - 0)\/4?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from jmjnnjnynj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + 194*p - 54*p in the form o*p + y and give o.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 52*y**2 - 87*y + 407. Is w(60) 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 139285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from gjeib?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, 11892.9549, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*a**3 + 229*a - 324683 with respect to a.\nAnswer: 192*a**2 + 229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1, 2\/9, -72, 0.3, 2\/11, 129?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 28*w - 32*w + 8 = 0, 0 = -2*d + 5*w + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 6\/45533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*m**4 - 8*m**4 + 3*m**4 + (2 - m - 2)*(-m**3 + m**2 - m**2) - 15*m**4 + 25*m**2 - 25*m**2.\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11001928 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m - 79*m - 67*m + 1951935 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = 3*d + 61, -4*c = -2*d + 82. Let m = c + 162\/7. Let l = -24 + 71\/3. What is the closest to l in m, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 131 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o - 10. Suppose 0 = -37*x + 588 - 144. What is the tens digit of x\/4 + 370\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*j = 36, 255*b - 2*j - 30 = 257*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 4*k - 11. Let m be -3 - (140\/(-8))\/5. Sort 0, m, -3, k in ascending order.\nAnswer: -3, 0, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 21*p. Let o(w) = 7 + 117*w**2 + 111*w**2 - 227*w**2 + 10 - 22. Determine o(h(y)).\nAnswer: 441*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192*-0.2.\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i - 3*i - 2*i)*(-1 + 0 + 2) - i + 2*i - 2*i - 3*i - 2*i + 0*i + (-2*i + 3*i + i)*(-3 + 2 + 3) + 1 - 1 - 2*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 425661*l - 2553858.\nAnswer: -3*(l - 141881)*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 8*k - 44. Suppose 16 + 304 = k*q. Calculate the highest common divisor of 48 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/((-262)\/(-5502))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*f - 115, -3*u + 70 = -2*f - 25. Calculate the lowest common multiple of u and 77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 339*j**2 + 2424*j + 600. Give y(-346).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.9 - -43. Let b = i - 0.3. Put 1, b, 6, 0.4 in descending order.\nAnswer: 6, 1, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 3, 4872, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 - 1. Let t be v(1). Solve -3*k + 4 = t*h, -h + k - 2 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23052701.\nAnswer: 7, 41, 47, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*(-9 + 12)*-2. Put u, -56, 0 in decreasing order.\nAnswer: 0, u, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 50, 18\/7, -0.132 in decreasing order.\nAnswer: 50, 18\/7, -0.132, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 311*i**2 + 6*i**3 - 6*i - 626*i**2 + 1 + 315*i**2 in the form l*i**3 + c*i + d + n*i**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -43, -67, -101, -145, -199, -263?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17406228 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2. Let l(v) = 38*v**2 - 3*v. Give h(l(z)).\nAnswer: -1444*z**4 + 228*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j + 96*j - 3303888 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 7*y**2 + 19 + 23 - 87 + 21.\nAnswer: 7*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 435 - 430. Suppose 16*j - 66 = i*j. Solve 0 = -5*f - 14 - j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201*b**5 - 118*b**2 wrt b.\nAnswer: -12060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((224\/56)\/(2\/5))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21279405 is divided by 142.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7385147, -7385143, -7385139, -7385135, -7385131, -7385127?\n\"Answer: 4*q - 7385151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = d, -3*d + 4*n + 14 = -12. Let g be 6\/(-9) + (-2)\/d. Is g smaller than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 1758*a + 105820.\nAnswer: 2*(a - 814)*(a - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-2\/15)\/(c**(1\/3)*c*c\/(((c**(4\/5)*c*c)\/c)\/c)*c) assuming c is positive.\nAnswer: c**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -16 - 7*j - 7*j - 1 + 12*j. What is b(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + u**2 + u - 2. Let d be t(-2). Suppose 4*y = -4*p + 20, 0 = -5*p + d - 18. Let c = -4 + y. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-3 + 21 + 4). Calculate the common denominator of ((-10)\/o + -3)\/(4\/3) and -65\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*x + 5. What is the highest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 5752.\nAnswer: 40264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1 + (sqrt(704)*-1 - sqrt(704)) + (sqrt(704) - (sqrt(704) + 0)*-6))*-2 + -1 + 2)*-4)**2.\nAnswer: 2560*sqrt(11) + 1126416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 9*s - 10. Let l be j(6). Calculate the highest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**3 - 159*v**2 - 33*v + 26. Give s(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l + 16. Let o(d) be the first derivative of -3*d**2\/2 - 3*d - 2. Suppose -v + 1 + 3 = 0. Calculate v*p(i) + 22*o(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c - 3?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102002202 - -11?\nAnswer: -2102002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - 0)*-109)\/1. Let x = n + -107. Let z(k) = 4*k**2 - 3*k + 3. Calculate z(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:26 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(-7 + 2 - 6)*(-2*f + 4*f - 1 + 0).\nAnswer: -88*f + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011100000110100110000110 + 0?\nAnswer: 100011100000110100110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 24 = -16*k - 4*d, -5*d = -35 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, z: 7}. What is prob of picking 2 z?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 428 = 422 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llglhlgdnqhqqqq. Give prob of picking 1 g and 1 h.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 - 184.68. Let o = 0.62 - u. What is the second smallest value in 0.4, o, 1\/29?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*r**2 - 3 + 264*r**2 + 1 + 0.\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, 1526 in increasing order.\nAnswer: -12, 5, 1526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2871, -4, -0.2, -28 in increasing order.\nAnswer: -28, -4, -0.2, -2\/2871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((-23562)\/136)*(-14)\/(-10)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*b**2 + 60*b**2 - 319*b - 106*b**2 - 233*b**4 wrt b?\nAnswer: -2796*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 3*x - 30, -1483*t + 2978*t + 5*x + 50 = 1477*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1233009.17 to the nearest 100.\nAnswer: 1233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -439500.8211 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24549.\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 235 + o + 9*o - 5*o - 2*o as y + r*o and give y.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 123767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1)\/((-5)\/35). Suppose u = i + i - t, i - 5*t = 8. Solve -2\/5 + 2\/5*y**i + 2\/5*y**2 - 2\/5*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2105371519\/566544 + -2213555\/592. Let a = w + -70\/319. Calculate the common denominator of a and 44\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/30 + 1\/(-2). Let f = -30 - -29.5. Suppose -4*b = -7*b - 3. Sort b, d, f in descending order.\nAnswer: d, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 3. Let f(q) = 1. Let d(a) = 3*f(a) + l(a). Let x(b) = 3*b**2. What is d(x(p))?\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.53 * 0.3.\nAnswer: 5.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6.06. Let r = 0.04 + w. Let v = 1\/22 + -6\/11. Which is the biggest value? (a) v (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m, 0 = 3*g - 18*g - m + 44. Solve g*k - 6 = 6, x + 9 = 3*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3485*n + 691114 = 4919*n + 2743*n for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133602.811804 + -0.188196. Let c = k + 133526.161. Let i = 77 + c. What is i rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-162)\/(-28) - (-10)\/20. Let v be (-150)\/(-18) - (-2)\/3. Suppose -v = 10*d - 59. Are d and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 19854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 7 - (101 - 100) - 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -3*t. Let j be (15\/25)\/((-1)\/(-5)). Let k = 2 + -2. Put t, k, j in descending order.\nAnswer: t, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5876?\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**3 + 1294*l - 609*l - 2 - 498*l to the form y*l + r*l**3 + k + o*l**2 and give y.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101011100 + -111010111111001101?\nAnswer: -111011010100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17101 is divided by 588.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*a - 20, -16*a = 4*h - 14*a - 10. Suppose -o - 4*o + 518 = -2*n, -h = n. Calculate the remainder when o is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 9) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2684 divide 664202803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i + 45. Let x be z(-8). Let l be -3 + 12\/(-20) - 2\/x. Sort -1, -5, 5, l in decreasing order.\nAnswer: 5, -1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.4589 days in weeks?\nAnswer: 75.9227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3553 - 3536.07. Let d = c + -0.53. Round d to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -31 - 0 - (13 - 11). Let m = i - -36. Suppose 18 = 5*y + 8. Solve 3*p + 3 = -m*x, 2*x + y - 4 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8274258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154 and -0.07.\nAnswer: -10.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2055 = -29*u + 14*u. What are the prime factors of u?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8425065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-4))\/(-1)*80\/(-400).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 8*q - 5*q = 0, 4*q = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -1)\/(3\/(-9) + 1). Solve -26 = -5*d - s, 0 = 3*f + 3*d - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 2*z**2 + 7 + 5 - 11. Suppose -2 = 5*d - 22. Does 17 divide o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a - 16. Let c(x) = -x + 1. Let b(d) = 4*c(d) + q(d). Let z be b(9). Suppose -z = -2*h - 5. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59372 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457712?\nAnswer: 2, 28607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(1\/2))\/((-10)\/(-240)*-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 - 40*f**4 + 292*f**3 + 1864*f**2 - 6528*f - 8064 = 0. Calculate f.\nAnswer: -12, -7, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (6 - 11) - -7) + 2 + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/6 - -115\/66. Put u, -2\/13, 45 in increasing order.\nAnswer: -2\/13, u, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15234570, 15234572, 15234574, 15234576, 15234578?\n\"Answer: 2*o + 15234568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:45 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*k**3 - 148*k**3 + 292*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g + 2*g)*(-6 + 14 + 6)*(0 - 5 + 1 + (1 + 0 + 0)*(0 + 0 + 2))*(-g + 2*g - 3*g) to the form m*g + k + j*g**2 and give j.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 467*k**2 + 512*k + 8. Let w(i) = 311*i**2 + 339*i + 5. Let v(a) = -5*d(a) + 8*w(a). Find the second derivative of v(c) wrt c.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Let v = 9 + -9. Suppose n + l - 9 = v. What is the lowest common multiple of 4 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 38\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -2*s**8\/21 - 2*s**7\/105 + 8*s**6\/15 + 2*s**5\/15 - 4*s**4\/3 - 2*s**3\/3 - 8*s**2 + 5*s. Suppose x(a) = 0. Calculate a.\nAnswer: -1, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 1:09 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 7 + 27 = 0. Suppose o*v + 5*q - 56 = 0, -q - 32 = -4*v - 0*q. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 59 = 1. Let m = v - 10. What is the smallest common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.4 - -12.62. Let h = -159767.3 - -159767.5200009. Let w = h - y. What is w rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 15 + 10. Let j = z - 29. Let g(s) = -19*s - 6. Does 25 divide g(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 34*h**2 - 2969*h + 327. What is d(40)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(-8\/3)\/(a*a**(1\/3))**(-41) assuming a is positive.\nAnswer: a**(1132\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o + 6. Let h be w(3). Let n be 2\/(-8) + (-3 - h\/(-16)). Sort 5, -13, n in descending order.\nAnswer: 5, n, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 9:05 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17158 + 25025 = -1297*g - 38825 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4*t - 2)*(-1 + 0 + 0) + t + 0*t - 3*t - 13*t - 52*t + 21*t in the form i*t + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 104*j**2 + 5900*j + 67. Let d(f) = 14*f**2 + 843*f + 9. Calculate 15*d(n) - 2*h(n).\nAnswer: 2*n**2 + 845*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/3)*j**1*j*(j*j**(-1\/5))\/j*j\/(j**(-5)*j*j) assuming j is positive.\nAnswer: j**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*((-22)\/(-110))\/((-1)\/(-4)). Let b(d) = -d**3 - 2*d**2 + 6*d - 5. Let f be b(h). Let v be (-3136)\/(-256) + ((-3)\/4)\/f. Solve -17*j = -14*j - v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (5 - (4 + -6))) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9)**(-10\/7)*(v*v*v\/((v**(6\/5)*v)\/v)*v*v)\/(v*v*v**(-6\/11)) assuming v is positive.\nAnswer: v**(-4047\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.071087 minus 0.372?\nAnswer: 90.699087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 54. Solve -p*r - 19 = -3*f, -r + 0*r + 2*f - 1 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2934.32 rounded to the nearest 10?\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((6 - 9) + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 135*x**3 + 2*x**2 + 2. Let k(y) = -540*y**3 - 9*y**2 - 9. Give -2*k(a) - 9*v(a).\nAnswer: -135*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7231d - 1?\nAnswer: 7231c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.6 * -6.\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -45.979. Round m to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -1220?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/42 - 3*v**3\/7 - 2*v**2 + 66*v. Suppose l(x) = 0. What is x?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.541, 5, -1?\nAnswer: -0.541","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -23, -0.25, -1, 0.2, -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -1\/3*y**3 + 0*y + 2*y**2 + 0 + 1\/24*y**4. Suppose 4*u - 7*l = -2*l + 31, 8 = 5*u + 4*l. What is x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03038 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:58 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 39 = 5*l. Let q = 4 - -1. Let u(z) = z + 2. What is the lowest common multiple of u(q) and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 127\/2*p**2 + 4*p - 1\/6*p**3 + 0 - 1\/12*p**4. Is d(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 4 - (-26 + 30 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 2528 + 2508 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5012 (base 6) to base 3.\nAnswer: -1111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3554 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2109*q + 2126*q + 2*q**4 + 30 - 2420*q**5 - 3 wrt q?\nAnswer: -48400*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1563*i**3 + 532*i**2 + 28606672*i wrt i?\nAnswer: -9378*i + 1064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-15) - (-14 + 10). Which is the nearest to f? (a) 1\/2 (b) -4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 + 4*k - 1. Calculate q(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -14. Let x be (-22)\/15 - 1\/5. Let z = 289\/1085 + 3\/155. Sort z, f, x.\nAnswer: f, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*v - 5*h, -7*v = -2*v - h - 7. What is the greatest common divisor of 5 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**3*f**2 - 2*c**3*f - c**3 - 2394*c**2*f**2 - 64*c**2*f + c**2 - 3*c*f**2 + 141*c*f - 9*c - 9*f**2 wrt f.\nAnswer: -8*c**3 - 4788*c**2 - 6*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12577811 and 11.\nAnswer: -12577800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -14 - -14 - (-2 - (-9 - 0)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 3:15 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3122 - 4113 + 1050 = 7883*d + 1698 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24\/17585 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1765*m + 4626?\nAnswer: -1765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -3\/2, 2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34362 (base 9) in base 10?\nAnswer: 22898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 854, 879, 880, 857?\n\"Answer: -12*d**2 + 61*d + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14817.67 weeks in milliseconds?\nAnswer: 8961726816000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.9 (b) -4\/33 (c) 0 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let g(i) be the second derivative of 11*i**7\/2520 + 5*i**4\/12 + 2*i. Let k(q) be the third derivative of g(q). What is x(k(l))?\nAnswer: 121*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/179 or -4623?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -248859035\nAnswer: 1\/49771807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:14 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(2\/3)*q*q)\/q)**(10\/7)\/(q*q*q\/q**(-2\/7)*q*q)**(-19\/6))**(-1\/14) assuming q is positive.\nAnswer: q**(-863\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 38. Let s = y - -18. Let k = 1 - -1. What is the closest to s in k, 1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, 157.\nAnswer: -3, 3, 5, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a5c (base 15) in base 16?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28297031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -2.7. Let t = 1 + p. Let b = t - -4. What is the second smallest value in 5, b, 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.37486824+7266\nAnswer: 7282.37486824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 0*v + 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*h - 120 = 0, -3*g + 0*h + 50 = -2*h. What is the first derivative of 180*k - 176*k - g + 4 wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-1 - 2) + 7 + 10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o = -38*o - 2, -4*r + 5*o + 1351 = 0. What is the greatest common divisor of 1243 and r?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2371*u + 205. Let b be a(-6). Suppose -5339 = -6*p + b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 2\/15, 0.9, -3 in descending order.\nAnswer: 0.9, 2\/15, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 447299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 11}. What is prob of picking 3 x and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2235.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2826\/15*(-1720)\/(-12). Let h be s\/(-61560) - 8\/(-20). Let r = h - -1\/81. Calculate the common denominator of r and -51\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n = 132*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 74\/7 of a week?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105*x - 209875 = 3180*x - 69050 for x.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*(-7 + 3) - -4)\/2. Which is the second smallest value? (a) 2\/3 (b) m (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 241\/2. Sort -2, -1\/4, p.\nAnswer: -2, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 + 150 = -8*h. Are 4\/17 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29357 is divided by 399.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 2, 5, 3.\nAnswer: 2, 3, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 5*h**2 + 5*h - 36. Let q(w) = -4*w + 4*w**2 + 7*w**3 - 10 - 5*w**3 + 47. Let m(k) = -4*i(k) - 5*q(k). Differentiate m(o) with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8)\/(73\/8 + -9). Suppose 0 = 4*h - 7*h + 3. Let o(b) = -b + 1. Let i be o(h). Solve i = 2*v + s*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:07 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2200100002210112?\nAnswer: 2200100002210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-42))\/((-2)\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 94*x**7\/7 - x**3\/3 - 2*x**2 - 29. What is the third derivative of t(n) wrt n?\nAnswer: 11280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**2 - 1. Let k(u) = 5*u**2 - 30*u**2 + 449 - 452. What is 4*k(z) - 11*m(z)?\nAnswer: -12*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/616)\/(2\/16)*37\/2\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 - -0.11. Let r = 0 - k. Let d = -0.38 - r. Which is the closest to 2\/7? (a) d (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let p = 457 + -456.6. Sort o, -0.1, p in descending order.\nAnswer: p, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 4*s + 102 = 0. Let g = 65 - s. Suppose -3*f + 11 = -g. What is the remainder when 54 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -826476 * 0.5\nAnswer: -413238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 3*s + 3. Suppose -4*d = -0*d + 16. Let h be (-14)\/(3 + -1) - -3. Let x be (3\/h + 0)*d. Determine o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-35)*-15 + 8. Let l = 3274\/13 + -252. Which is the fourth biggest value? (a) 1\/4 (b) s (c) -3\/2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17660151 - 399?\nAnswer: 17659752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 13*r. Solve r = -0*p - 5*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 - -2133665?\nAnswer: 2134055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1400999 = 2*l + x, 4*x + 467004 = -l. Round l to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2942 = -227*x - 30 + 1855 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 3:44 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c - 4 = 0. Let p be 2*(-2 + c + 27\/2). Which is bigger: 19 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, 1\/9, -3.6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**2 - f**2 + 3*f**2 + (1 + 4 - 4)*(1 - 2*f - 1)*(f + 4*f - 4*f + (-2 + 0 + 0)*(2*f - 4*f + f) + 4*f + 0*f + 0*f) to y*f + x + g*f**2 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1. Suppose 2 + 13 = 5*y. Suppose 2*f + f = -y. Let m(x) = -6*x**2 + 16. Let a(v) = f*m(v) - 5*q(v). What is the derivative of a(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1997*u + 2002*u - 32.\nAnswer: 5*u - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460.357 kilometers to millimeters.\nAnswer: 460357000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.26 - 0.26. Let s be ((-12)\/(-18))\/(-6 + 3). What is the third biggest value in s, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7 + (-12)\/3 - (-98 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1120*v. Let k(y) = -64*y**2 + 20*y + 1. What is j(k(q))?\nAnswer: 71680*q**2 - 22400*q - 1120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h + 5*y + 6, 3*h + y = 5. Let c = h + -4. Let l be 0 + (-2)\/c - 1701. What is l rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from ejwrm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Let u = 0.391 - 0.191. Sort 2\/9, d, u, 7\/2.\nAnswer: d, u, 2\/9, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114337 or 114325?\nAnswer: 114337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*h - 34*h - 2*h**4 + 2087 - 29*h - 147 - h**3 + 109*h in the form b + v*h**2 + r*h + j*h**4 + k*h**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w + 42*w = -2344 + 888 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (2 + 0 + (6 - 16) - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {z: 11, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -1\/3 (c) 0.2 (d) -1\/11 (e) 3 (f) 428\/7 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**7\/8820 + u**6\/840 - u**5\/210 + u**4\/12 - u. Let d(j) be the third derivative of t(j). Let d(f) = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028686, -2057467, -3086248?\nAnswer: -4115029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/6)\/(a\/((a**(4\/9)*a)\/a)))\/(a**(4\/5)\/(a\/(a*a**10)*a)) assuming a is positive.\nAnswer: a**(-1007\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*b + 2, -b - 28*z = -49*z - 39 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 4:35 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4102995 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 140, 21 in decreasing order.\nAnswer: 140, 21, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 3*t = 48, -5*t - 45 + 15 = 5*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4422244 - -31132?\nAnswer: 10003431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 + 114. Suppose 0 = r*w - 4*j + 1 - 13, 9 = -w + 4*j. Solve -2*p - 6 = -w*p - l, 4*p - 2*l = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, -4, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-20))\/(3\/(-45)*1). Suppose 26*g + m = 25*g. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 106*o**2 + 35*o**2 + 30*o**2 + 37*o**2.\nAnswer: -4*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 - x**4 + 79467 + x - x**3 + 2*x**2 - 79457 as t*x**3 + h + o*x**2 + w*x + d*x**4 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -631 or -630?\nAnswer: -630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1012, 2243, 3884, 6139, 9212, 13307?\n\"Answer: 34*j**3 + j**2 + 990*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, h: 7}. What is prob of picking 1 o and 2 h?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6\/54)\/(100\/(-225))*36\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 52 + 156*r + 43*r - 68*r.\nAnswer: 142*r + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (-3)\/((-15)\/1105). Let h = -224 - d. Solve -h*n = -4*k - 4 - 16, -n = -3*k - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsbvnscb. What is prob of sequence bcnv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381 - 386. Suppose 3*d - 2*d - z = 48, 2*d - 108 = 5*z. Let k = d + -213\/5. Which is the third smallest value? (a) 0.5 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.288528 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8981?\nAnswer: 7, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 4*n + 7. Let s(a) = 2*a + 7. Let t be s(-6). Let l be z(t). Let q(k) = -5 - 4*k - 2*k**l + k**2 + 9 + 3. What is q(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130236101.\nAnswer: 1607, 81043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/1553 in -5, 5, -0.01, 3, 0.4, -1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19316 and 748?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18732 + 31358. What are the prime factors of l?\nAnswer: 2, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 7*r**3 - 3*r**3 + (-19*r + 32*r + 30*r)*(-r**2 + r**2 - r**2) + 71*r**3 + 23*r**3 - 164*r**2 + 164*r**2.\nAnswer: 53*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 18*w - 23*w. Let z = w + 28. Let t(y) = 3*y**2 + y. Let v be t(-1). Solve -4*n - 20 = 5*q, 3*q = v*q + n - z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4532 and 239784.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/14266200 and -19\/55281525?\nAnswer: 442252200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d - 2*d - 10*d + 3 - 5*d**3 to x + c*d + g*d**2 + i*d**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -261, -884, -1907, -3336, -5177?\n\"Answer: -h**3 - 194*h**2 - 34*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88896.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (13 - ((-8 - -12) + 1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-27)*n)**0)**(-44) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -1, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*g + 3130*g = -1264*g + 172484 + 44726 for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*b**2 - 2*b + 2\/7*b**3 + 8\/7.\nAnswer: 2*(b - 1)**2*(b + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 17 = -3*r - 5, 16 = -h - 3*r. Let y(f) = f**3 + 6*f**2 - 14*f - 9. Calculate the least common multiple of 35 and y(h).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 2 + 0*o - o**2 + 0*o - 2*o. Let s be v(-5). Is (116*-3)\/s - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**3 - 1. Let p(u) = -u**2 - 5*u - 5. Let v be p(-4). What is a(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**7\/630 - s**6\/9 + 437*s**5\/180 - 361*s**4\/36 + 63*s**2. Factor q(i).\nAnswer: i*(i - 19)**2*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8778 + 37237. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 5*s - 47 + 6*s + 443.\nAnswer: s + 361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.1*-0.02\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 7 - -3) + (0 - -4). Let d(b) = 3*b**2 + 9*b + 9. Let x(n) be the second derivative of -n**4\/12 - 2*n**3\/3 - 2*n**2 - n. Calculate g*d(w) + 9*x(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500860477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 16*c**2 + 404*c + 106. Calculate i(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 10*g**2 + 9*g + 4. Let b be r(9). Suppose 0*k + b*k = 8. Find the second derivative of 2*y**3 + 2 - k + 2*y wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/5 - -4 - (-45)\/(-100). What is the nearest to -0.1 in 0.2, g, 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51025 and 10985.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 49 = 3*o - 2*o, 4*b + 4*o = 24. Let s be b\/(11\/(-3))*2\/(-24). Let s*a**3 - 1\/4*a - 1\/4*a**2 + 1\/4 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - -100101?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182373?\nAnswer: 3, 31, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 1565652*p + 306408273138.\nAnswer: 2*(p - 391413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 7 - 4)*(-5 + 5 - y**3).\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70.88124 + 0.11876. What is the closest to 1\/4 in 2\/11, -0.1, -1, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, 0, 3, 10, 4, -4 in ascending order.\nAnswer: -5, -4, 0, 3, 4, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 7. Let t(n) = -5*n - 35. Let s be (-16)\/(-32) + 14\/4. Suppose s = 3*i - 3*a - 2, -4*i = 3*a + 20. What is i*t(h) - 11*b(h)?\nAnswer: -h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*r - 4*z - 245, 0 = 3*r - 5*z - 247. Let t = r + -32. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3440\nAnswer: 3\/3440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.54 + 0.04. Let z = u - 0.5. Which is the third smallest value? (a) -2\/9 (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from jtjutjjuj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 5 - 3 = 0. What is the closest to 9 in -0.05, 3\/2, q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*p - 193*p - 153*p + (4 - 3 + 2)*(-p + 0*p + 0*p) to k*p + f and give k.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 476186803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-5)*(2 - (-16)\/(-3)). Suppose -6*o + 168 = 150. Calculate the lowest common multiple of (-303)\/(-33) - f\/22 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 53. Let j be (-25)\/(-30) - 3\/c. Let g be (-2)\/4*(-4)\/(-13). Do j and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 219\/2, 3\/8, 5\/8.\nAnswer: 3\/8, 5\/8, 3, 219\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j**2 + 6*j**2)*(2*j - 2*j + 3*j**3 + (-97 + 97 - 40*j)*(-2*j**2 - 3*j + 3*j)).\nAnswer: 166*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*z - 50, -h - 3*z + 5*z + 20 = 0. Let j = -53\/3 + h. Factor 2\/3*m - 1\/3 - j*m**2.\nAnswer: -(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -49. Let h = n - 22. What is the second derivative of 37*a**4 + 3*a - h*a**4 + 4 - 4 wrt a?\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**8\/336 + c**5\/60 - 3*c**2\/2 - 2. Let x(m) be the second derivative of j(m). What is the third derivative of x(p) wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4*j = 18 - 34, 0 = -5*v - 5*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 4) - 7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -12, -10, -6, 0, 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 12*l**2 + 3. Let u be v(-12). Let q be (2\/(-1))\/(23 - 1807\/78). Which is the third smallest value? (a) -4 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/13)\/((-564)\/21996)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 69700440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**3*f**3 - 28*a**3 + 2*a**2*f + 53*f**5 - 3*f wrt f.\nAnswer: 66*a**3*f + 1060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -82518 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvdddvfvvdvfdvv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42128711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -110123?\nAnswer: -110150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 + 976*x**2\/11 - 178*x + 980\/11.\nAnswer: 2*(x - 1)**2*(x + 490)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 12:43 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + -2. Let s = 20 + j. Suppose 4*b = 2*b - 2*z, -4*b + 8 = 2*z. What is the greatest common factor of s and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 80 = -4*r - 0*i, -5*i + 80 = 4*r. Suppose f = 3*f - r. Solve 0 = -l + 2*h + 8, -5*l - 2*h - f + 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f*f**(-5))\/(f**(-5\/3)\/(f*(f*f**(4\/11))\/f)) assuming f is positive.\nAnswer: f**(-31\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (4 - (9 + 13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3101 = -6469. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -20. Solve 3*d = -o - 19, 0 = 4*o - d + x*d + 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-120)\/(-48))\/(-2*2\/(-8)) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3950*-20*(-200)\/(-80)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -66*i**2. Let r(q) be the first derivative of q**5\/24 + 15*q**3 - 178. Let u(k) be the third derivative of r(k). Determine g(u(w)).\nAnswer: -1650*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 6*x + 22, -4 = -22*w + 23*w - x for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616 + 298. Let d = 4136\/13 + f. What is the nearest to 1\/4 in -3\/4, d, -4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4488, -8975, -13462, -17949?\n\"Answer: -4487*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5*1\/(-6)*-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2396.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2060*i = -2057*i - 5*z - 8, -2*i + 1 = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -183*q**3 + 7*q**2 - 7*q - 7. Suppose 63*s + 162 = -279. Let m(x) = 122*x**3 - 5*x**2 + 5*x + 5. What is s*m(f) - 5*l(f)?\nAnswer: 61*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*n**3*v**3 - n**3*v**2 + 10*n*v**3 - 111*v**2 wrt v?\nAnswer: -78*n**3 + 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 z when three letters picked without replacement from {z: 7, g: 2, s: 2, v: 5, n: 4}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 10. Determine l(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 16 + 70. Find the first derivative of 25 + 16 + 99*s + 58 - m*s wrt s.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {s: 1, c: 6, w: 2, d: 2, t: 1, u: 7}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -119 divided by -3\nAnswer: 119\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99579 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-8) - (-270)\/(-90). Find d, given that 1\/4*d**3 + 0 + c*d - 3\/2*d**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*z - z - 62, 0 = 3*w - z + 34. Let u be ((-12)\/(-24))\/((-2)\/w). Solve 0*g + u*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/28 and -73\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 1\/6 (c) 0.22 (d) -2 (e) 2.8 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:42 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h + 10*h + 10*h)*(-56*h - 41*h - 2 - 4*h) + 3*h**2 - 2*h**2 + 0*h**2 + (3*h**2 - h**2 + 0*h**2)*(3 - 3 + 1).\nAnswer: 710*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (-50 + 74 + -104).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 220, 348, 524, 760, 1068, 1460, 1948, 2544?\n\"Answer: 2*c**3 + 12*c**2 + 78*c + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. Suppose 40 = s*j - 0*j. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 16 = 8*g. Sort 19, g, -1.\nAnswer: g, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2672 divided by 668\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 - 11955*i - 23890 = 0. What is i?\nAnswer: -2389, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3846\/360 - (-6)\/(-10) and -41\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-10) - (-2)\/10. Let f(k) = -k - 19. Let p be f(-14). Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, o: 5, p: 8}. Give prob of sequence po.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2040 + 2042. Solve 6*q = 8*q + h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.52 + -50.52. Let a = 0.0641 - -50.0359. Let f = v + a. Which is greater: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -236, -258, -280, -302?\n\"Answer: -22*f - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-5 - ((-51 - -54) + (-1 - 1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 9*c + 19. Let p be f(-5). Let j(l) = 2 - 10*l**3 - 22*l**3 + 3*l + 2*l**2 + 0. What is the lowest common multiple of 27 and j(p)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 6*l - 3*l + 3*l - 398 - 2*l + 398.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sshhsssshsssssssss. What is prob of sequence shhs?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 245 = 54. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.718 - -1.544. Let d = -5.6 - -2.4. Let c = d - u. What is c rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in 0, 2\/5, 8\/3, 0.6, -9?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1974.4 + 1974. What is the closest to 1 in -4, -161, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4998626419?\nAnswer: 19, 71, 3705431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 4*a**3 - 2*a**3 + 28*a**3 + 16*a**3.\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 763403 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 15 = -23*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1075 and 25757?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 = -185*a + 1952 - 195 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3) - sqrt(3)*2) + sqrt(5) + sqrt(5) + -1 + -1 - ((sqrt(60) - sqrt(240))*4)\/sqrt(12).\nAnswer: -2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 23563 = 2*t - 23705, -t + 11 = -d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 36. Let x(s) = -9*s - 71. Give -7*t(r) + 4*x(r).\nAnswer: -r - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8817653?\nAnswer: 13, 19, 29, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 9 + 298*x**2 + 3 to k + t*x**2 + m*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:40 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 15*u - 6. Is x(13) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/12 + 89*b**2 - 3*b. Let t be o(0). Let i = -103 + t. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 628 and 13641102.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/12)\/1 - 4\/(-16). Solve 3*t = g*o - t - 8, -2*t = o - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -30, -59, -98, -147?\n\"Answer: -5*i**2 - 4*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, 179, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48522*d - 48491*d + 15 + 1246*d**2 + 97096*d - 3 wrt d.\nAnswer: 2492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 + (-20 - -10 - 2 - 4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 8*d - 3 = -3*d, -4*k + 33 = d + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10205233*v**2. Let w(m) = 2*m**2 - 7. Determine w(z(p)).\nAnswer: 208293561168578*p**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77262, 154523, 231784, 309045, 386306, 463567?\n\"Answer: 77261*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 - 184. Sort -4, 76, i in increasing order.\nAnswer: -4, i, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*f - 3, -29*y + 5 = -5*f - 32*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (40 - 11) + -29.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-15) + (-12)\/(-10). Suppose 763*c**l - 3 + 1 - c**3 - 761*c**2 + c = 0. What is c?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w + 4. Let l(g) = g. Let s(z) = 6*z**2 - 1. Let m be s(-1). Let v(h) = m*h + 0 + 5 - 4. Calculate w*v(y) + 4*l(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2952 (b) -9 (c) 2\/3 (d) -2 (e) 1 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 3*u**2 + 4*u**2)*(-13 + 39 + 25).\nAnswer: 153*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77702 and 68?\nAnswer: 2641868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90447 or 1\/3?\nAnswer: 90447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*t - 8, -5*g - 2*t = t - 10. Suppose -j - 5 = k, 0 = -2*k + 5*j + 13 - g. What is the tens digit of k + 3\/(15\/965)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -2, 158, 29, 214, -1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*u - 64, -3*u = -8*m + 4*m - 69. Let v = -57648 - -57832. Calculate the remainder when v is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)**(-40))**(-12\/7) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 108*y**2 - 2342*y - 168. Calculate f(-78).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*h + 778 - 778 + ((2*h + 0 + 0)*(1 - 1 - 1) + (-2*h + 0*h + h)*(-2 + 3 + 0))*(4 + 3 - 4).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 68.25641 millimeters?\nAnswer: 0.00006825641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 76350000 to the nearest 1000000.\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -957, 4, 0 in ascending order.\nAnswer: -957, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 24. Let a(k) = 2*k**2 - 8*k - 6. Let z be a(6). Let f = p + z. Solve -f*n + 10 = 25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-2 + 35)\/(-3). Solve -4*t + 0*t = o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 12:50 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.77 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -3*z**5\/100 + z**4 - 37*z**3\/10 + 27*z**2\/5 - 342*z. Factor u(s).\nAnswer: -3*(s - 18)*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971357 to the power of 1\/2, to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 29*u**2 - 29*u - 69. Give o(-28).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64440 and 1440.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3266102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 * -173.\nAnswer: 553.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 - 1)*(2*c + 0 + 0) + (-2*c + 2*c + c)*(1 + 1 + 0))*(4*c**2 - 2*c**2 - 5*c**2).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225*-0.1.\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.17 (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10315.57842s in weeks?\nAnswer: 0.01705618125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 - -216. Solve 0 = -2*a, 6*x = 5*x + f*a + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -14 + 30. Let u(t) = t**3 - 5*t**2 - 4*t - 5. Let c be u(6). Does i = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146850 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.05 (b) 3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123030113 (base 5) in base 8?\nAnswer: -2213312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*k + 2*z + 4, -2*z = 4*k - 6. Suppose 1 = s - k. Suppose s*n = -2*c + 2, -3*c + 3*n = n - 23. Solve y = c - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3 - 4*l**3 + l**3 + 6*l + 4*l wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/109 at least 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 9*a + 4. Let x be y(9). Suppose -3*t - 17 = -0*t + x*c, 3*t = -2*c - 7. Let s = 3 - t. Solve -14 = -3*h - s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 40 = 50. Suppose -10*h = -12*h + 29*h - 1350. What is the remainder when h is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:57 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74830485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400999?\nAnswer: 137, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1656483*x**2 + 925823*x.\nAnswer: 3312966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 - 191586*j**2 - 3058766283*j = 0. What is j?\nAnswer: -31931, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 93, -507?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yydydyyddd. What is prob of picking 3 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 594906 and 22881?\nAnswer: 594906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*r + 449*r - 9444 = -159*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57407035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442761001 to the nearest integer?\nAnswer: 21042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.58 or -2\/273?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) - 5*3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004178 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103697868\/649271 + 2\/92753. Let i = y + 22129\/140. Find the common denominator of -117\/20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/2))**(16\/5)\/((p\/((p*p**8)\/p)*p)\/p*(p**(5\/4)*p)\/p) assuming p is positive.\nAnswer: p**(339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68 - -45?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171.03 - -43.03. Is c greater than or equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1315 divided by -5.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4 - (-7)\/(42\/(-26)). What is the nearest to 1 in -3, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410 and 12874?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -16.5. Sort 0.3, -3\/2, j in ascending order.\nAnswer: -3\/2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*r - 7*r**2 + 5*r**2 + 0*r**2 + r**3 + 2*r**2.\nAnswer: r**3 - 41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*a + 10, s + 5*a - 7*a - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/147)\/(147\/33614*49).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + (-6 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34868865 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from qbbqbqqbqbqbbqqbbbqb.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1297 by 6.\nAnswer: 1297\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.9 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1146 (base 12) in base 3?\nAnswer: -2122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 3. Let o be r(6). Let l = -3 - -2. Let q be (-4)\/(4\/(-3))*l. Does o = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 + 72. Let c(i) = 246 - 262 + 813 + i + i**3 + b*i**2. Is c(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3. Let c(x) = 6*x**2 - x - 9. Give -c(w) - 4*o(w).\nAnswer: -6*w**2 + w + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 20. Let o = -42 + 20. Let y be (-1 - -4)*o\/33. What is the closest to 2 in p, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 - -255. Solve 5*f = -v*n - 15, -3*f + 2*f = -5*n - 26 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -10\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-1*(-17)\/(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -634*u - 633*u - 629*u - 630*u - 14 + 2529*u. Calculate n(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 2*w**2 + 3*w**2)*(-94 + 33 - 185).\nAnswer: -246*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x - 21. Let o(p) = 3*p + 7. Let s(b) = -2*f(b) - 7*o(b). Let q(v) = v + 4. Calculate 5*q(z) + 3*s(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 61. Let p = 36 - j. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*j**4)*(20 - 20 + 4*j)*(-5 + 2 + 1).\nAnswer: 16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**3\/7 - 13184*c**2 - 12495680*c\/7 - 424224256\/7 = 0. What is c?\nAnswer: -22936, -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -3*s**2\/2 - 57*s + 34. Let w be g(-19). Differentiate 27 - 2*q**3 + w*q**3 + 16*q**3 wrt q.\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-30)*(-176)\/(-220)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11428*n**2 - 5*n - 5. Let i(l) = -51425*l**2 - 22*l - 22. Determine -5*i(q) + 22*z(q).\nAnswer: 5709*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v**3 - v**2 + 16*v + 87. Calculate b(0).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3143*f**3 + 3165*f**3 - 9535*f**3 + 3126*f**3.\nAnswer: -101*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -143 (b) -4 (c) -1 (d) 22 (e) -0.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12491, 12914, 13337, 13760, 14183?\n\"Answer: 423*g + 12068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert -12021 (base 3) to base 12.\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -91, -223, -411, -655, -955, -1311?\n\"Answer: -28*u**2 + 8*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*d - 75, 2*d + 75 = 7*d - g. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*m + 28, 4*j = -2*m - 12 + 118. Suppose o + o = j. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 103, 231, 411, 643?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 154675\/4, 4, -3\/2, -15\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2)*(6 + -4 - 2). Which is the closest to 23? (a) -5 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/21768759 and 4\/62087.\nAnswer: 1023131673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27.6 in -1.6, 4\/5, -2\/9, 0.2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -45. Let m(h) = 124*h**3 - h**2 + h. Let o be m(j). List the prime factors of (8 + -13)*o\/(-10).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75503637*j**4 - 7721118*j**2 wrt j.\nAnswer: 1812087288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3 - (-21)\/30*4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:01 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 17. Suppose 6*p + 61 - 139 = 0. Let t(b) = -b + 8. Calculate p*t(a) + 6*y(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 18*a = 2. Let d(f) = 6*f + 3. Let z be d(a). Let c = 22 + z. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/74910 and -10\/7491?\nAnswer: 74910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**6\/6 + 12*j**3 + 41. What is the third derivative of q(w) wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 12*z**2 + 14*z - 23. Let n(i) = i**2 + i - 9. Let f be n(-5). Calculate the lowest common multiple of b(f) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/12 - v**4\/6 - v**3\/2 - 2*v**2. Let l(j) = -6*j**2 - 4*j - 4. Let h(r) = -5*c(r) + 4*l(r). Calculate h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 3. Let n(o) = 58*o + 6. Let k(c) = -65*c - 7. Let m(v) = -8*k(v) - 9*n(v). Calculate -4*m(d) - 3*y(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 8:43 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/10)\/(v**(-4\/19)*v))**(-42))**(-27\/7) assuming v is positive.\nAnswer: v**(-13689\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 210. Let x(q) = 101*q**2 + 10. Determine x(p(l)).\nAnswer: 404*l**2 - 84840*l + 4454110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 6*v - 4. Let z be l(9). Suppose -2*j + q + z = -0*q, -6 = -2*q. Suppose 2*i = j + 1. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t + 195 = 4*f, 0 = -2*f + 2*t + 96. What is the remainder when f is divided by 2\/(-39) + (-19 - 18785\/(-507))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*a - 6908, 0 = -2*g - g + 6. Suppose 4*j = -20, -5*j = -h + 4*h - a. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -35 - 80 + 5 + 6*o. Let k be l(18). Put -5, k, 3 in ascending order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 696656 and 139592446?\nAnswer: 1116739568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/6 + 37*z**2\/2 - z - 8. What is the first derivative of l(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9295, 9612, 9927, 10240, 10551, 10860, 11167?\nAnswer: 11472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-27))\/(6\/36). Which is the smallest value? (a) h (b) 9 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x + 4*i - 24, 0 = -5*x - 3*i + 32. What is the common denominator of (-1569)\/168 + (-4)\/14 and x\/6 + 1\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49113 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z + 2. Suppose 18 = 3*a - b + 2, -3*b = 3. Suppose p + a*r - 17 = 0, -7 = 2*p + 2*p - 5*r. Solve -z*f - 3*w = p*f + 3, -3*f = w + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 + -75. Solve -5*r - 6 = -16, g + r = w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllzxzzzzzzxxxxl. What is prob of picking 1 p and 1 l?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133.082 - 0.082. Let n = c + -133.00171. What is n rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 + 0*u**3 - 15*u**3 - 9*u.\nAnswer: -25*u**3 - 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6336 - -76069\/12. Let c = -2890\/987 + -8\/329. Find the common denominator of u and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -205 + 173. Suppose -i*b = -26*b + 6530. List the prime factors of b.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 30 + 474 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 1864?\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 - 57) + -1 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 45*o**5 - 68*o**2 - 4*o + 10. Let p(m) = 23*m**5 - 34*m**2 - 2*m + 4. Let z(u) = 5*p(u) - 2*r(u). Find the third derivative of z(i) wrt i.\nAnswer: 1500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2205 and 411815355?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.0871 (b) 82 (c) -2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17519\/2 - 8759. Suppose 3*r - 4*r + 1 = -p, -10 = 5*p. Put q, 1\/8, 2\/7, r in increasing order.\nAnswer: r, 1\/8, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 349 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**4 - 22315*d**3 + 190808610*d**2 - 357578750500*d + 207830269965160 = 0 for d.\nAnswer: -9389, 1642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -2, -8, -16, -26?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.3 + -12.299937. Round l to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1276 by 319.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 235.3 - 222. Let a be (-1)\/((7\/(-21))\/((-1)\/(-3))). Is b > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 67, 137, 217, 313, 431?\n\"Answer: o**3 - 4*o**2 + 71*o - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -156, 570, 3040, 8124, 16692, 29614?\n\"Answer: 145*m**3 + 2*m**2 - 295*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-9)*72\/(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23688*t**3 - 11847*t**3 - 11844*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0, -53, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 67. Let n(a) = 95*a + 72*a - 165*a. Give t(n(g)).\nAnswer: -4*g - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(20)\/(-2*sqrt(10)) - sqrt(20)\/(-1*sqrt(10))) + 5)**2.\nAnswer: 5*sqrt(2) + 47\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -7715?\nAnswer: -7711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -11 (c) -3 (d) -46.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1, -0.2, -27.83, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*c + 5*l - 25, 5*l = -4*c - 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*z**3 + 14*z**2 + 5*z**3 + 2*z**4 + 39*z**3 as h*z**4 + a + y*z + g*z**3 + f*z**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/704457 and 19\/25272.\nAnswer: 5635656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.318 + -139.318. Let a = -139.000072 - q. Round a to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1666 + 655. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h**2*z - 7*h**2 - 4*h*z + 2*h + 16*z - 92 wrt z?\nAnswer: -4*h**2 - 4*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76894 = 6318*p + 43148 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-10\/3)\/y*y*y**(-2\/7))\/(y**0)**(1\/44))**(2\/101) assuming y is positive.\nAnswer: y**(-152\/2121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 22, 25, 28, 31?\n\"Answer: 3*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -17. Let b(g) be the third derivative of 0*g + 0 + 0*g**3 + 1\/60*g**5 + 0*g**d + 2*g**2. Let j(v) = -2*v**2. Calculate j(b(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25128374234 - 25128374234 + 162*b**2.\nAnswer: 162*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and -17.\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 3:54 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i = -20. Let n be 2*-1*(-1 + i). List the prime factors of (n - -5)*1\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 135 + 66 + 2835*u.\nAnswer: 2835*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 33. Let z = 2.9999941 + w. What is z rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987174.5l to millilitres.\nAnswer: 987174500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = 0, 3*w - 5*w + 8 = 2*x. What is the highest common factor of 30 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q + 3*g, 2*q = -3*g + 4*g + 3. Suppose 58*n + 16*n = 851000000. Suppose 2*s - n = -q*s. Round s to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2\/2 + 1026*k - 21846 = 0. Calculate k.\nAnswer: 22, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 18*i + 51. Is 8 a factor of n(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u + 1. Let p be q(4). Let w be 4\/12 - p\/3. Solve -20 = -2*n + 4*c - w, -5*c = 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -330017 - 4?\nAnswer: -330023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*i**3 + 28*i**3 + 66*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-eight fifths of a second?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -171 (b) 2\/9 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/7 and 46\/3709?\nAnswer: 25963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216\/15 - 4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 13*v**4\/24 - 19*v**3\/6 - 12*v**2. What is the tens digit of i(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.9 + 1.1. Let t = -1.614 + 1.814. Which is the third smallest value? (a) t (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9296.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6303774333.\nAnswer: 3, 1637, 1283603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/9)*s)**(-48)\/(s\/s**(-37\/5)*s**(-19)\/s) assuming s is positive.\nAnswer: s**(-1106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2 (b) -59 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 4, w: 2, k: 3, c: 9}. What is prob of picking 1 e, 1 k, and 1 c?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*v - 1 - 2 = 0, 3*n = 4*v + 3. What is the least common multiple of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 7, l: 11}. What is prob of picking 2 l and 1 a?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2447 + 2446.9. Which is the fourth smallest value? (a) -5 (b) 9 (c) -3 (d) w (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41.05809 - 0.05809. Sort l, -4, 4 in decreasing order.\nAnswer: l, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a55 (base 12) in base 3?\nAnswer: 2001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x = 4*k - 16, -5*x - 15 = -5*k. Suppose 2*h = 2*w - 4, k*w - 2*h - 18 = h. Sort 4, 0, w in decreasing order.\nAnswer: w, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-2*i**3 + 0*i**3 + 0*i**3) - i**3 + 2*i**3 - 2*i**3 + (i**2 - 4*i + 4*i)*(-6*i - 2*i + i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4489606 to the nearest integer?\nAnswer: 2119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2829433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 5*x**4\/12 + 70*x**3\/3 + 375*x**2\/2 + 143*x - 4. Solve s(k) = 0.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/18 less than or equal to -223.81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/((-57)\/76).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w - 8. Let r(i) = 4*i - 2. Let z(k) = -22*r(k) + 6*u(k). What is the tens digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 63 = 7. Suppose 3*t + 2*t = 350. Suppose -t = -4*q + i. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21312010111 (base 4) to base 8\nAnswer: -11660425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 413295 and 661272.\nAnswer: 3306360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88878*z**2 - 99*z + 99*z + 88895*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.639174um?\nAnswer: 0.0007639174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 78*p**2 - 3*p + 113. Calculate m(39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 22*y**2 + 24*y - 28. Give l(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*i + 54*i - 3*i - 3*i to p*i + m and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 18 = -7*y, 46 = 2*g - 3*y + 36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -13. Let o(x) = 2*x - 5. What is o(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1444)\/(-30) + 12\/(-90). Calculate the greatest common factor of j and 288.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*o - 32*o - 135. Suppose 60 = -o*l - 102. Are -16 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 7)*(-7047)\/12. Is 2 + (2\/4 - d\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*l**4\/2 + 818860*l**3 - 655082*l**2 + 131016*l.\nAnswer: -l*(l - 65508)*(5*l - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 57 = -19*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 37, -53, 4, 0 in ascending order.\nAnswer: -53, 0, 4, 18, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -487501*d**2 + 4*d. Let l be v(4). Round l to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55379131 + 55379245.000084. Let t = u - 114. What is t rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:30 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 17*h - 5. Let u be 7\/(2*4\/(-8)). Let r(y) = 5*y - 7. Let w(q) = -4*q + 8. Let m(p) = u*r(p) - 6*w(p). Give m(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/5 - 5156*c\/5 + 823194\/5 = 0.\nAnswer: 171, 2407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5022 + -5021. Sort -1\/2, 2\/5, u, 70.\nAnswer: -1\/2, 2\/5, u, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:39 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*o**3 + 528*o**2\/5 - 24*o\/5.\nAnswer: 6*o*(o + 2)*(45*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5893 + -5895. Sort l, -3, -4, -1, -5 in decreasing order.\nAnswer: -1, l, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35\/69 - 4\/23. Let r = 34.921 + 0.079. Let t = -28 + r. What is the nearest to -1\/2 in v, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g**2 + 21*g**2 - 2*g**2.\nAnswer: 53*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 - s)*((-6 + 4 + 4)*(-5*s + 2*s + 4*s) + (1 - 1 - 4)*(3 - 3 + 2*s) + (1 - 3 - 1)*(-3*s + 2 - 2)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/44 and -107\/5896280.\nAnswer: 64859080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4686 times 3\nAnswer: -14058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:48 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11217 (base 14) to base 13\nAnswer: 15bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + 34?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89 + 2726*y**2 - 154 + 956*y**2 + 66 to the form k*y + s + a*y**2 and give a.\nAnswer: 3682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -215051, -215052, -215053?\n\"Answer: -d - 215050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from dpxlhyx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 10*i**5 + 4*i**4 - 960*i**3 + 4736*i**2 - 5632*i - 3072 = 0.\nAnswer: -12, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/429792 and 85\/371712.\nAnswer: 13753344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -30*k**3 - 10*k**2 + 10. Let t(l) = l**3 + l**2 - 1. Suppose 2*d + 18 = s, -1 + 45 = 4*s - d. Give s*t(m) + z(m).\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2291308 is divided by 381?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgggggfgggkqgg. What is prob of sequence qk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from {e: 4, h: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1521 and 6892353?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-67)\/(-2)*(15 + -5). Suppose 0 = 17*n - 12*n - r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 199*g**2 + 53*g**2 + 13.\nAnswer: 252*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7677 is divided by 215?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**6\/m)\/m*m)\/(m*m**(-3\/5)\/m)*m**7\/((m*m**(-2\/21))\/m))**(-6) assuming m is positive.\nAnswer: m**(-2876\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 5. Let t be p(-5). Suppose -9*q - 32 = -t*q. Let a(n) = -n**3 - 7*n**2 + 8*n. Give a(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*l. Let c(q) = -q**2 - q - 1. Let v be c(l). Let w = v + 6. Solve 0 = -g + z + 5, g - w*g = -2*z - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -916 and -915 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -488, -978, -1468, -1958, -2448, -2938?\n\"Answer: -490*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 - 9*t**2 - 16*t**2 - 7*t**2.\nAnswer: -41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j + 2*j**2 + 13*j - 2*j to u + l*j**2 + r*j and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 186, 15, -6, -1 in descending order.\nAnswer: 186, 15, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 + 142 - (1 + -14 + 101)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, 2522 in increasing order.\nAnswer: -5, 13, 2522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.5 - 12.9. What is l rounded to one decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 13*n + 77 = 0. Let j be ((-5)\/6)\/5 + 38489\/66. Calculate the greatest common factor of n and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/585 and -64\/1602445?\nAnswer: 14422005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + a)*(2 - 3 + 4)*(10*a**2 - 81*a**2 - 135*a**2).\nAnswer: -618*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -6 + -4 + (-47 - (8 - 4))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 7447.72\nAnswer: 7447.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 76*v - 12. Let d(g) = 80*g - 10. Calculate -3*d(k) + 2*y(k).\nAnswer: -88*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -10312023?\nAnswer: -10312102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 13, 41, 89, 163, 269?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87698.\nAnswer: 2, 13, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/171 and -149\/36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 273, 295, 343, 429, 565?\n\"Answer: 2*v**3 + v**2 + 5*v + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 3*z**2 - 8*z - 6. Let o = 17 - 12. Let k be i(o). Solve -h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(171) + sqrt(171) - sqrt(171)) + 3 - (sqrt(171) + 2)*6) + -5)**2*-5.\nAnswer: -22355 - 2100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 13*w - 45. Let z be i(6). Which is the closest to z? (a) 2 (b) -1\/3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -26*f**2 + 1. Let q(n) = 25*n**2. Let s be (1258\/136 + 20\/(-2))*-4. What is s*q(u) + 2*k(u)?\nAnswer: 23*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 3.3. Let n = -597 - -6561\/11. Which is the second smallest value? (a) n (b) 3\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7927 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is the remainder when 188636 is divided by 188602?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26182 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162208 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(3*2*sqrt(1008) - sqrt(1008)) + 3 + 1.\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11697*(-12)\/(-144) - 12)\/(1\/(-80))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k - 24. Let d be g(3). Solve 3*y + 3*y = d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 + 0.06. Let i = w + -0.5. Let g = i + -3.3. Which is the biggest value? (a) -1\/3 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 + 8366676*k = 0. What is k?\nAnswer: 0, 2091669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/9 + 45463*u\/9.\nAnswer: u*(u + 45463)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-55)\/(-10) + -3)*2. Solve 3*u = 2*o + 19, 0 = t*o - 0*u - 3*u + 34 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 + 10*c - 39. Let j(g) = -414*g**2. What is k(j(h))?\nAnswer: -856980*h**4 - 4140*h**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -893*n + 161627. What is c(181)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 42*r**2 + 35*r - 35. Let m(w) = 7*w**2 + 6*w - 6. Let v(f) = 35*m(f) - 6*y(f). Let z(k) be the first derivative of k**3 - 53. What is z(v(t))?\nAnswer: 147*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 34304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -11)*4\/6. Let t = -3 + v. Suppose 4*i + t = -5. What is the biggest value in -1, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 792750 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13858 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 1, 8.6, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -19 - (-1 - (-1 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 - 3*m**5 + 4*m**5 - 3*m + 3*m + m**5 + (-2*m**2 + 0*m**2 + m**2)*(-11*m**3 + 4*m**3 + 71*m**3).\nAnswer: -62*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = 18. Suppose -6*n = -14*n - 32. Put -3, u, n, 0 in increasing order.\nAnswer: n, -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r*r**11))\/r**7)**(-1\/2)\/((r\/(r\/(r*r*r**0)))\/r**(2\/7))**(1\/7) assuming r is positive.\nAnswer: r**(478\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 4.748?\nAnswer: -0.04748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/4 and -10\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-3))\/(2\/(-18)). Let x(s) = 3*s**3 + s**2 - s. Let b be x(1). Calculate the highest common divisor of b and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 - 147. What are the prime factors of 1\/n + 6\/(-48)*-1698?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - (-10)\/(150\/(-5)). Solve 2*l - 3*w + 0*w - 5 = 0, q = -3*w - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 16 = 2*c, -877*c + 878*c = 5*k + 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = 3*i. Let u be 9\/(i\/(-2) + 1). Let a = u + -5. Solve 0 = 4*g - a - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1224630052 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 961? (a) 0.4 (b) -0.1 (c) 1\/3 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 6*o**2 - 2*o**2 - 5*o**4 + 0*o**4 to s*o + d*o**2 + m*o**4 + x + r*o**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 1\/83 (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 2*s**3 + 23*s**2\/2 + 11*s - 62. Let f = 8 - 14. Let x(n) = -4*n - 5*n - n**2 + 5*n - 2. What is f*o(a) - 34*x(a)?\nAnswer: -2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 10*j)*(-1 + 1 + 2*j) + 12*j**2 + 11*j**2 - 40*j**2 + (j**2 - 9*j + 9*j)*(-1 - 3 - 1).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 4651\/4 (c) 99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m + 2. Let h be y(-2). Suppose -2*w + 0*w + 20 = h*c, 2*c - 2 = -5*w. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 6*w**2 - 3. Let r = -62 - -59. Let q(n) = -6*n**2 + 2. Let o(p) = r*q(p) - 2*b(p). Let o(h) = 0. What is h?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304.7624mg to grams.\nAnswer: 0.3047624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/129 and -47\/522?\nAnswer: 22446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690.438 decades in millennia?\nAnswer: 26.90438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3317 = -5*x - 106, -3*x - 3*v = -1905. Which is bigger: 633 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.57841 and 0.3.\nAnswer: 11.873523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*g - 35*g - g**2 + 9)*(3*g**2 + 2*g**2 - 4*g**2) as y*g**2 + z + a*g**3 + k*g + v*g**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1828*b**2 - 3*b - 3. Let o = 8 + -10. Let y be f(o). Suppose 4*l - 3*d + 28954 = -231, -3*d = l + y. Round l to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100492.98 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-10))\/(441\/1470).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((-2*sqrt(104) + sqrt(104))*-5)\/(sqrt(88)\/(sqrt(11) + (sqrt(55)\/sqrt(5) - sqrt(11))))).\nAnswer: -15*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, z: 6, c: 5, v: 4}. What is prob of picking 3 q?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 11 - (-6 - (-3 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -46\/11, 100, -4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000827 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -18.\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55322392 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: Which is bigger: 0 or -60\/169?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24156 and 9864?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 293 + -289. Let r(f) be the third derivative of -f**4\/6 + 15*f**2. Let u(s) = -8*s. Determine d*u(i) - 9*r(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((528\/(-2200))\/(27\/(-5)))\/(6\/(-9))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**2 + 2*w + 1. Determine z(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 16*x - 20. Let d be m(-11). Let n = d + -14. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/17488113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 10*m - 4. Let v = -5 - 4. Let p be d(v). Let b = 5 - 3. Solve b*s = p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 20*u + 16 + 26*u - 3*u**2 - 9*u - 14*u. What is x(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 30) + 19 + -164 + 93?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517570871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -281725.26492 from -156.\nAnswer: 281569.26492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1258 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2810\/13 - 8\/52. Let h = l + -98. Suppose -3*o = -o - 3*g - h, g + 295 = 5*o. Calculate the remainder when o is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 442053008 by -1323512.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -24. Let d(i) be the first derivative of 0*i - 1\/4*i**4 + v*i**3 + 1\/2*i**2 + 1. What is the second derivative of d(w) wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174136859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2665*f. Let w(t) = 171*t**2. What is i(w(k))?\nAnswer: 455715*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -237 - -2517. Let w = 2279.8897 - d. What is w rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 7, f: 2, g: 4}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 603.19209 - -0.00791. What is v rounded to the nearest 10?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*s + 25, 5*k = s - 0*k + 11. Let v be ((-4)\/s)\/2*12. What is the third derivative of -4*x**3 + 2*x**4 + v*x**3 - x**2 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78450510.\nAnswer: 2, 3, 5, 29, 90173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5141*y**2 - 4*y - 3. Let b(k) = -25707*k**2 + 40*k + 16. Let q(v) = -2*b(v) - 11*i(v). What is the second derivative of q(d) wrt d?\nAnswer: -10274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310 + -293 - (1 + 20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12215 + 330415?\nAnswer: 343034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Let a = 49 + -49. Solve -2*f + 3 = 5*n - a, 5*f - 20 = w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20484, 20541, 20640, 20781?\n\"Answer: 21*o**2 - 6*o + 20469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0 - 2*u - 1\/2*u**3 - 2*u**2. Find the first derivative of o(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*i - 36. Solve -5*w - 2 = -3*f - 15, -i*f + 3*w - 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkksskkss. What is prob of picking 1 k and 1 s?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/26)\/((((-2)\/30)\/((-76)\/570))\/(-3)).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 18. Calculate the remainder when 9 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5 + 18406*b**4 - 42812952*b**3 + 2134905344*b**2 + 2177736704*b = 0?\nAnswer: -1, 0, 52, 4576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 83*n**2 + 77*n + 594. Let h be z(84). Solve 1229*j - h = 1235*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.215, 3.8897?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 4 - 2)*(-3775*f + 571*f - 1996*f)*(0*f - 3*f + 5*f) to the form i + y*f**2 + g*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q - 126 + 148 = 760 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55165 is divided by 121.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 559544 and 36492?\nAnswer: 1678632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/4)\/((t\/(t\/(t*t\/(t\/(t*t*t*(t*t**(2\/15))\/t))*t))*t)\/t*t)*(t**(-12\/5)\/t)\/(t*t**19) assuming t is positive.\nAnswer: t**(-1697\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*m - 12. Differentiate 10*g**m - 14*g**2 + 4*g**2 - 13 + 5*g**2 wrt g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 67*f + 491. What is the least common multiple of w(7) and 120?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261561.\nAnswer: 3, 87187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -4\/7 (c) -195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(684)*2 - (-4 + (sqrt(684) - -1*sqrt(684)) + sqrt(684)))*-4*-5)**2.\nAnswer: -43200*sqrt(19) + 306000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k**5\/2 + 105*k**4\/2 + 147*k**3 + 167*k**2 + 141*k\/2 + 9\/2 = 0.\nAnswer: -3, -1, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 21)\/105*(-15)\/1. Solve m - 10 = -j*l + 2, 0 = -m - 5*l + 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.5 - -27.5. What is the closest to -2\/5 in k, 2\/7, 4\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -181681849*s**2 + 213660170 wrt s.\nAnswer: -363363698*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380, -647, -888, -1103, -1292, -1455, -1592?\nAnswer: -1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 3, e: 2, t: 2, g: 1, v: 2}. Give prob of picking 1 g and 1 v.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*j - 4*r, -406*j - 46 = -408*j + 2*r. Solve -b = t - 8, j = b + b + 4*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61552282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488425577.\nAnswer: 3, 496141859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 7\/(7\/(-3)). Calculate the least common multiple of (d - -4)*(-36)\/(-21) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -88. Suppose 611 = 9*r + 566. Suppose -h = -r*x + 5*d, -4 = 2*x + 2*d - 10. Calculate the remainder when 11 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 10\/11, 0.4, 77\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8831785 a multiple of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (132\/66)\/(11\/4 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:27 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o + 3*o - 42*o + 2*o**3 + 3*o + 10*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 5) in base 6?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + k**2 + k + k**2 - 2*k + (823*k - 277*k + 133*k)*(-5*k + 3*k + 0*k).\nAnswer: -1356*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 4 + 4 - 2*z**3 - 16*z**2 + 14*z**2 to the form p*z + d + k*z**3 + i*z**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 2261.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2. Let h(a) = 4*a**2 - a - 1. Let n be h(-1). Let q be i(n). Suppose q = -5*r + r + 52. What is the remainder when 24 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (90 - 49) + -102.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxbndxvnqnvqx. Give prob of sequence vxx.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.195 - -4.145. Let k = -4 + x. Let a = -2.05 - k. Are a and -1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1.209152?\nAnswer: 3.627456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51580.0473017 - -0.0526983. Let t = m + -51142.1187. Let o = 438 - t. What is o rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1349, 1343, 1335, 1325?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - 40*w**3 - 201 - 204 + 24*w**3 + 405 + 28*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:25 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 9 + 10 = 2*t - 31, 27*s = 15326*t - 15322*t - 202 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4888173 divided by -157683.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:13 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1021110 (base 4) to base 12\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w**4 + 4328*w**3 - 4328*w**3)*(-71*w - 9*w + 23*w).\nAnswer: 855*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 9 - -5 - (-6 + 4) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.2, -1.4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 82*w - 50*w - 38*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = 0, -3*u + 22 = -4*q - u. Let f be 6\/(1 - 2\/q). Suppose 2*i + 36 = 6*i - 4*c, -5*i + f*c + 50 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105432992 to the nearest integer?\nAnswer: 10268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 371 and 5088?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2. Let k(h) = -8*h - 11. Calculate d(k(i)).\nAnswer: -128*i**2 - 352*i - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513, -1811, -3955, -6927, -10709, -15283, -20631, -26735?\nAnswer: -33577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1983228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49600 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 13) to base 11.\nAnswer: 2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 607823*c + 2659108.\nAnswer: 607823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 7:35 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1135705236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 111000000?\nAnswer: -110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkr when three letters picked without replacement from {d: 2, w: 2, k: 2, r: 3, i: 4, g: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11276 and 402.\nAnswer: 11678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/33888 and 65\/1446832?\nAnswer: 3064390176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*m - 1\/4*m**3 + 0 + 1\/4*m**4 - 1\/4*m**2.\nAnswer: m*(m - 1)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 31, -7, -61?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273241?\nAnswer: 17, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171\/4 - 43. Sort 3, h, -0.1 in descending order.\nAnswer: 3, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 240*s**4*y**3 + s**2*y**3 - 15*y**3 + 4 wrt s?\nAnswer: 960*s**3*y**3 + 2*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 82788333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -16*g + 13*g. Suppose -g*r = -66 + 50. Solve r*u - u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*q - 3*z - 0*z, 4*z - 3 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1890*s**2 + 1889*s**2 - 5669*s**2 + 1886*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 g when four letters picked without replacement from {v: 6, g: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-50) + (-24)\/(-40) - (-12)\/(-16)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -362640 - 220?\nAnswer: -363160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (3 + 21 + -15 + (-14 - -18))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 14*w**2 + 44*w - 4. Determine a(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*c = -883, 5*p - 4*c + 3422 = -837. Is -850 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/15)*m))\/((m*(m\/m**(-32)*m)\/m)\/m)*m**(-1)\/(m*m\/(m**(1\/32)*m)))**(-19) assuming m is positive.\nAnswer: m**(318307\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 34 = -5*a, 3*x + a - 3*a - 37 = 0. Let i(q) = -2*q + 1. Let w(c) = -3*c + 3. Let v(m) = -i(m) + w(m). Determine v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/49 (b) 5\/3 (c) 0 (d) 1 (e) 5 (f) -1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10849 is divided by 5413?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -54*x - 475. Let p be w(6). Let q = p + 2319. Is 40 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 62\/14 - 9\/21. Suppose 0 = 11558*i - 11569*i - 66. Which is the nearest to 0.1? (a) i (b) s (c) -2\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 768266563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 t when three letters picked without replacement from ttkkk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-64))\/(2\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -81*f**2 + 3731. Let b(t) = -10*t. Give b(d(q)).\nAnswer: 1620*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475 a factor of 418627636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1716 - -2037. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13268 = -30*g - g. Let n = g - 509. Put n, 3, -1 in decreasing order.\nAnswer: 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*p**6 - 64*p**4 - 5303*p**2 - 2*p wrt p.\nAnswer: -2640*p**3 - 1536*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 12:29 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 11) to base 15\nAnswer: 9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30208581 to four dps.\nAnswer: 0.3021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0.9274, 5, 36 in decreasing order.\nAnswer: 36, 26, 5, 0.9274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -121, -1 in decreasing order.\nAnswer: 3, -1, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*t**3 - 32*t**3 + 18*t**3 + 50*t**3.\nAnswer: 122*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-4))\/((-1)\/(-2)). Solve -3*b + 6*g + w = 2*g, -3*b - 3*g = 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 = -48. Let z = -3 - m. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(2\/(-4) - 1). What is the third derivative of 42*r**5 + 44*r**2 - 6*r + w*r wrt r?\nAnswer: 2520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntl when three letters picked without replacement from {c: 3, h: 2, l: 1, r: 1, n: 2, t: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 585 (base 12) to base 16\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -2, -6, 152, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 123945735735.\nAnswer: 123945735735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, -181, 7, -0.35?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -389\/6 at most -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkqqkpzkppkqk. What is prob of sequence qp?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -257 + 302?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2, -1, 10, -0.033, 2\/3?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, r: 1, u: 5, x: 1, q: 1}. What is prob of picking 1 r and 1 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/510 and 5\/867.\nAnswer: 8670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -12 - 0) + 0 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**14\/(w*w\/(w\/(w\/(w**(1\/5)\/w))))*w\/w**(1\/2)*w*w*w**(10\/3) assuming w is positive.\nAnswer: w**(511\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/25*((-5)\/10 + (-8)\/24).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*p = -352*p - 318*p - 13490 for p.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 3*d**2 - 5*d + 3. Suppose -3*p = 2*v + 6, -1 = 5*v + 4*p - 0. Is b(v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 52*j - 3*j - 1 to the form y*j + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*o - 5. Suppose -13*x - 15*x - 56 = 0. Put x, -0.9, 4, o in increasing order.\nAnswer: o, x, -0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*n - 748, 4*n + 601 = 11*o - 16*o. Let k = 264 + n. Calculate the highest common divisor of 46 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = m - 4*j, m + 2*j - 4*j + 22 = 0. Let c = -63 - -95. Let q = m + c. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.17 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50526 and 3213?\nAnswer: 2576826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffww when four letters picked without replacement from {w: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -2*a. Suppose 0 = -a*n + 9*n. Solve 2*b = -2*v - 8, n = 4*b - 5*v + 2*v - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9344837 < 9344824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 + 173. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.699707 and -4?\nAnswer: 8.699707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133386 and 5828.\nAnswer: 8269932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 18*c + 88. Let r be i(-5). Let v = -4 + 5. List the prime factors of 0 + r - (-1 + (v - 26)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:30 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 29. Let n(b) = -b**3 + 3*b**2 + 4*b - 5. Calculate the remainder when o is divided by n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 91*f - 86*f. Calculate the remainder when 19 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/11 - 136722*f\/11.\nAnswer: -2*f*(f + 68361)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -25943.69 to the nearest one hundred.\nAnswer: -25900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 + 13*b**2 + 30*b + 1. Let q be y(6). What is the closest to 8 in -1, 1\/2, q, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*a + 9802, -19*c + 18*c = -5*a + 16344. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -879844.4 less than -559.89?\nAnswer: 879284.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -98 and -0.026 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 12)*(4*d**2 - d**2 - 2*d**2)*(-6*d - d + 12*d) to q + h*d + p*d**2 + l*d**3 and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z - 4*y + 2284 = -47*z, 4*z + 4*y = 3048. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -6\/11, -5.4, -111?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11537769 and 9717?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -532 - -610. What is the greatest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 2. Let j = 1760534841\/755 + -2331835. Let m = 4\/151 - j. What is the nearest to k in -4, m, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29215799\/174 - -167906. What is the common denominator of -99\/232 and s?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 162.\nAnswer: 5\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3810\/337133?\nAnswer: 3810\/337133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + 0\/(6\/2))\/1. Let k be (3 - (-15)\/s)\/(7\/(-518)). Are -36 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1550*s + 9327. Calculate t(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 2. Suppose -5 = 4*t + o + 2*o, -t = -4*o + 6. Let l be s(t). Let b be 3\/l + (-12)\/(-16). Solve -3*a + 5*i = -0*i + 37, 4*i - 20 = b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -16304373 and -5.\nAnswer: -16304378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/150 + 7*r**4\/30 + 8*r**3\/5 - 27*r**2 + 2. Let m(v) = 0. Calculate v.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1214766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 - j**4 + 2*j**4 + (133 + 70 - 40)*(2*j**4 + 0*j**4 - 4*j**4) in the form r*j**4 + u*j + a*j**3 + d + w*j**2 and give r.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1362.798 to the nearest 10.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 21*v - 14. Let d be u(-21). Suppose 0 = -2*i - y - 11, -276*i - 9 = -278*i + 3*y. Put -0.5, d, 3, i in descending order.\nAnswer: 3, -0.5, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*t, -363*k - 12 = -360*k - 5*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 - 3*n**2 + 3*n**2)*(0*n + 0*n + 2*n) - 301*n**3 - 2*n**5 + 301*n**3 - 6*n**4.\nAnswer: -4*n**5 - 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 21*b + 23*b - 65*b. Suppose 2*z = -3*s + 4, -4*s = -z - 2*z - 28. Let q be ((-6)\/s)\/(-3)*0. Solve 0 = k - b - q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v*v**(-14\/9)*v)\/v)\/v*v*v\/v**(2\/31))**(-22) assuming v is positive.\nAnswer: v**(-8470\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x - 63*x - 13*x as n + w*x and give w.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3733a7b - -24?\nAnswer: -3733a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -141630*l - 7789642. Calculate k(-55).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/28)\/(42\/(-112)))\/(2\/35)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 1, r: 1, b: 6, m: 5}. Give prob of picking 2 m and 1 b.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 921.48 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3386779775 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/2)\/(4\/8). Let a = q - 8. Suppose -5*w = -m - 17, 2*m - 7*m + 2*w + 30 = 0. Solve l - m = -a*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16459 at most as big as 16463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvnfbffxvhbvhvnnvhv. Give prob of sequence vxf.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124331647001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -820747.2 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 20, 2, 0.2, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0128007 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 891.7906ug?\nAnswer: 0.0000000008917906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 126*k + 185*k - 312*k. Let t(x) = -18*x**2 + 5*x + 1. Calculate a(t(j)).\nAnswer: 18*j**2 - 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 16*g - 591. What is z(-33)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1971*v + 3357. Does 138 divide z(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -41*f**5\/20 + 79*f**2\/2 - 2*f + 1. Differentiate j(w) with respect to w.\nAnswer: -123*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Let z(y) = 60*y + 3. Let a be z(i). Suppose 8 - a = -5*o. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -107694405*n**2 + 46410*n - 5 = 0.\nAnswer: 1\/4641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/2)\/(m\/(m*m**(-3\/7)*m)))\/((m*(m*(m**3\/m)\/m)\/m)\/m*m*m**(4\/11)*m*m) assuming m is positive.\nAnswer: m**(-199\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (195\/(-390))\/(1\/(-380674)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - -137. Suppose -2*w + g = 4*m, m - 3*m - 174 = -2*w. Let b = w + -258. Round b to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.5072?\nAnswer: 0.10144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 25*i + 5. Is q(24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 938, 915, 872, 803, 702, 563, 380, 147?\n\"Answer: -q**3 - 4*q**2 - 4*q + 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 82*f**2 - 79*f + 238. Is q(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2516)\/(-24) + (-2)\/(-12). Suppose -3*r = -q - 1, v = 3*q + 5*r + 38. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 3:06 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -15 - (3 + -1). Let u be (x\/15)\/(2\/27). Solve 3*o = -3*h + 3, 4*h - 4*o = -u*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*f = -5, 5*f + 20 = 2*l + 1. Let u be (-4)\/24*(-9)\/l. Solve u*a**3 + 1\/2*a**2 + 1\/4*a**4 + 0 + 0*a = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120\/(-90) + 2144\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1903\/3 + -634. Which is the second biggest value? (a) 6 (b) 1 (c) t (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(3\/2))*c)**(-3\/37) assuming c is positive.\nAnswer: c**(-3\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 1\/2*x**2 + 7 + 12*x. What is the units digit of y(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - 14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 162902320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 + 27*h**2 + 6*h**4 - 2*h - h**3 - 21*h**2 - 4*h**4 + 1 in the form i*h**2 + s*h + c + r*h**4 + d*h**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, 10, 1145161, 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28131140 - -28131143.3300173. Let x = -3.33 + f. What is x rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 130, 139, 148?\n\"Answer: 9*y + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*a - 10*a. Let m(v) = 234*v - 1. Let z be m(a). Let o = 339 - z. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 31 - 73)*(-2*j - j**2 - 2*j**2 + j**2)*(-j + 0 + 0).\nAnswer: -152*j**3 - 152*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258015.\nAnswer: 3, 5, 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4761235*q + 8. Let m(j) = -4*j**2. Calculate t(m(v)).\nAnswer: -19044940*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-17920)\/1470)\/(-128))\/(2\/((-28)\/(-6))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**4\/24 + 26*z**2 + z. Let h(r) = 70*r**2. Determine h(f(t)).\nAnswer: 70*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 158116 and 0.01.\nAnswer: 1581.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c - 21. What is the units digit of g(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 5*w**4\/6 + w**3\/6 - 5*w**2. Let x be m(1). What is the greatest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Let c be (-6)\/(((-9)\/(-1233))\/(u\/(-4))). Suppose 0 = -3*q + 5*r + c, -2*r - 97 = -5*q + 588. What are the prime factors of q?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 5, t: 11}. What is prob of picking 1 q and 2 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2199 + -29.3999. Let w = h + 29. Let f = -0.48 - w. Sort 0.5, 5, f.\nAnswer: f, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6059143, -6059141, -6059139, -6059137, -6059135?\n\"Answer: 2*s - 6059145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*u + 2, u - 3*g = -0 + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4\/x*x*x**6*(x*x**(-6))\/(x\/(x*x**(3\/8)))*(x**6\/x*((x*x**(-1\/3)\/x)\/x)\/x)**41 assuming x is positive.\nAnswer: x**(2753\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 17 = 3, -o = -4*i + 1711. Let r = -424 + i. Sort r, 0, 52 in ascending order.\nAnswer: 0, r, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**2 + 46*o + 131. Let q(y) = -6*y**2. Give g(q(t)).\nAnswer: 12*t**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/18)\/(13\/26). Let c(h) = h**2 - 4*h - 6. Let v = 14 + -9. Let u be c(v). What is the nearest to 0.1 in z, u, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 1\/5, 0.5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 2. Let y be h(-5). Suppose -2*k + 16 = -3*l - 0*l, -y*l = 0. Suppose 10*v - k*v = 402. List the prime factors of v.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76992.64 weeks in days?\nAnswer: 538948.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -9\/4*o**4 + 0*o**2 - 3\/5*o**5 - 5 + 0*o**3 + 0*o. Suppose h(g) = 0. Calculate g.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1306*k**2 - 5*k**3 + 1306*k**2 - 2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 3, 1, 0.\nAnswer: -1, 0, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*d**3 - 268*d**3 + 138*d**3 + 70*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 13) to base 16\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-6)*(-5 + 2). Suppose -5*d - 5*b + 45 = -2*b, -g*b + 25 = 0. Suppose d*j - 5*j = 24. What is the highest common divisor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 69, 101, 145, 201, 269?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 2*u = -2*c - 14, -u = -c. Suppose 1226000 = -o + c*o. Round o to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*p - 26916 = -1723. Calculate the remainder when p is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + 1.3. Let g be (-2 - -1)\/(46\/4). What is the smallest value in t, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 9*y + 45. Let f be (-6)\/(-45) - (1028\/60 + -5). Determine p(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 310 = -2*h. Suppose -m - 4*m = -h. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312054 (base 13) to base 12\nAnswer: -473873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(4 + 5 - 6)*(-1 - 1 - 1)*(-3*m + 0*m + 4*m).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 20 = -3*c, j - 22*c - 33 = -26*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5*5\/(-1). Let l = -1 - -8. Let y = -3 + l. Which is the biggest value? (a) 0.5 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 498017.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 1\/20*r**5 + 1\/105*r**7 + 0*r + 0*r**6 + 0*r**3 + 3*r**2 + 0 + 0*r**4. Find the third derivative of w(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -540112 divided by 270056.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 8*l**2 + l - 32. What is the remainder when v(-10) is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170314296 to the power of 1\/2, to the nearest integer?\nAnswer: 13050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 4*r + 15 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-60) - 0)\/(71 + (-1425)\/20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1030575 (base 9) to base 11\nAnswer: -347472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.165 in -6\/11, 1\/4, -0.3, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(1\/(-7) - 22\/(-7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -816*l + 461. Is k(-38) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkl. What is prob of sequence lk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14 - -2)*(-3)\/6. Let u(j) = -j**2 - 9*j + 11. Let k be u(-8). Let s = k + r. Calculate the remainder when 20 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bif when three letters picked without replacement from {f: 3, b: 4, i: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nayynnynny. Give prob of picking 1 a and 1 y.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*o**5*w - 5*o**4*w - o**3*w + 3*o*w - 253*o - 5*w wrt o?\nAnswer: 760*o**3*w - 60*o**2*w - 6*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27540 = 3*q - 4*s, -3*s + 13*s + 27522 = 3*q. What are the prime factors of q?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*u**2 - 312*p*u - 16645*p - 5*u**2 - 4 wrt u.\nAnswer: 4*p*u - 312*p - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 64\/247, -53, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + (0 - -14 - 18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x + 715 = 166*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/20, 0, 91260, -1\/8, -3, 4 in decreasing order.\nAnswer: 91260, 4, 1\/20, 0, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357989 to the power of 1\/2, to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214 + (0 - 1)\/(13 + -12).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 4, -2, -1 in ascending order.\nAnswer: -76, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399962873.\nAnswer: 3, 23, 20289317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 511272.47 plus -0.03?\nAnswer: 511272.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5100002 = j + 2*u, -20399999 = -4*j - u + 2*u. What is j rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17*m + 115. Let h be z(-6). Let d(w) = 4 - 2*w + 21 + 0*w. Let q be d(h). Which is greater: -10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2\/21*l**2 + 0*l + 12 + 2\/63*l**3. Factor g(t).\nAnswer: 2*t*(t - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.1. Let w = 1384\/7 - 198. Sort w, u, -3 in decreasing order.\nAnswer: u, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-10 + -7)) + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198326 and 2278?\nAnswer: 225893314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*40\/240*(-9)\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:08 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*t = -91 + 25, 0 = t + 2. Let o be (-714)\/1020*(-32)\/w. Let -8\/5*j + 2\/5*j**2 + o = 0. Calculate j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + sqrt(99) + 1 + 1 + ((sqrt(132)*2)\/sqrt(12)*-6)**2.\nAnswer: 6*sqrt(11) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(44)\/sqrt(4) + (sqrt(88) - -1*sqrt(88))\/sqrt(8).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18206.9667s to days.\nAnswer: 0.21072878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/15 (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -157 and -0.10361145.\nAnswer: -157.10361145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 20. Suppose 2*i + s = -s - 4, 3*i - 3*s - g = 0. Let d = -84 - -90. Solve j - d = -i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Let h(g) = 32*g**2 - 6 + 7*g - 35*g**2 + 7 - 7*g. Let w(b) = -7*b**2 + 3. Give n*w(t) + 5*h(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -35 (b) 0.95 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*n**3 + 60*n**3 + 54*n**3.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1490757480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/4)\/(((-84)\/(-16))\/(585\/60)).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -19 + 5 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(98))*-4)**2 + -3 - (0 + ((-5 + sqrt(32))**2 + 1*sqrt(162))*-6).\nAnswer: -410*sqrt(2) + 1923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210004120 (base 5) to base 3.\nAnswer: -1121200120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016167871 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -16*s - 10*s + 55 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-47 - (113 - 127 - (-14 - 1))).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 l when four letters picked without replacement from {f: 3, l: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -118*g**3 + 27*g**2 + 28*g + 1. Give a(-1).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263382?\nAnswer: 2, 3, 7, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2368, -3253, -5628, -10237, -17824?\n\"Answer: -124*i**3 - i**2 - 14*i - 2229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 4*p + 4. Let y = 77 - 78. Let q be -26 - -26 - 3*y*1. What is v(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 2*d**6\/15 - 3*d**5\/5 - d**4 + 14*d**3\/3 + 12*d**2 + 7*d + 1. Factor q(z).\nAnswer: 4*(z - 3)*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3))**(-2\/57)*(j*j**(1\/23)*j)\/j**(-5\/7))**38)**(-10) assuming j is positive.\nAnswer: j**(-175160\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1605 = -5*u - a, -4*a = u - a - 307. Let v = -767 + u. Let g = 9783\/22 + v. What is the common denominator of 25\/8 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 67 = 5*m - 33, -5*m = x - 85. Suppose 0 = 13*c - 9*c - m. Solve c*y + 5*u = 2 - 3, -3*u = -5*y - 29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -o - o + 4*p, 0 = -4*o - 4*p + 12. Is (422\/8)\/(495\/(-252) - o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(2\/6 + (-211699)\/634818)?\nAnswer: 2, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, m: 1, r: 2}. What is prob of sequence rvr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 184286 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 + 11*x - 18. Suppose -13*t + 61 = -2*m, -3*m - 4*t - 2 = -28. Calculate g(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/200 and 413\/700 - ((-112)\/20 - -6).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 570 + 580 + 2034 = 0. What is the remainder when 144 is divided by k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1816864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162254819 and 635.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29288*q - 68047.\nAnswer: -29288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65840.\nAnswer: 2, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-6)*12*5\/80. What is w in 10\/7*w**4 + 12\/7*w**3 + 0 + 2\/7*w**h - 24\/7*w**5 + 0*w = 0?\nAnswer: -1\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.5 (c) -5 (d) -0.1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -454*y - 19. Suppose -15 = -0*w + 3*w. Is i(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 58*x + 2. Let s be d(1). Let j(l) = -l + 19. Let u be j(5). What is the units digit of (s\/u)\/((-4)\/(-28))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294446 is divided by 431429.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 + -4.86. Let m be (-3)\/2*1\/6. Which is the closest to -1\/5? (a) g (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37062*b**4*i**2 - 6*b**3*i**2 + b**2*i**2 - 3*b**2*i + 6*b + i**2 + 36 wrt b.\nAnswer: -889488*b*i**2 - 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 2*g**2 + 2*g - 3. Let u be a(2). Solve 1 = 2*z - 3*r, -z - 2 = -5*r + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2349373000?\nAnswer: 2, 5, 13, 127, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(28) + 1 + sqrt(7) + 3 + sqrt(7) + 0 + sqrt(7))**2.\nAnswer: 48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232222867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.344 + -0.044. What is the nearest to d in 5, -1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 8337.\nAnswer: 16674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 494\/15 at least as big as 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3560*l**3*n**2*y**3 + 224*l**3*n**2 + 102*l**3*n*y**3 - 339*l**3*y - l**2*y**2 wrt y.\nAnswer: -21360*l**3*n**2 + 612*l**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -12.1. Let x = 2\/451 + -455\/902. Which is the closest to k? (a) 0.5 (b) 0.01 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2 (c) -4 (d) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1))\/((-1)\/(-86)). Let v = b + -60. Calculate the greatest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 14*k**2 - 15*k + 12. Let g be q(15). Let t be (g\/(-33))\/2 + 112\/132. Let i = 0.09 + 3.91. Sort t, -1, i in decreasing order.\nAnswer: i, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4517623 + 4517623.69999952. Let l = -0.7 + v. Round l to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3991 rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.46, 4943, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 12 - (-15)\/5. Let c be ((-15)\/m)\/(3\/44). Suppose -c = -y - y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*-1 + -5)*4 + (-6*(sqrt(833) + 0 + sqrt(833)) + sqrt(833) - (1*sqrt(833) + -1)) + -2)**2*1.\nAnswer: 4704*sqrt(17) + 213689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8140 - 4854. Let v = j + -3286.0001611. Round v to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j - 6. Suppose -4*x = -4*r + 52, 3*r + 7*x - 2*x - 55 = 0. Let b be (-5)\/r - 2*4\/3. What is the closest to 1\/2 in -2\/3, j, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41\/7 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4536) - (1*sqrt(2016) + sqrt(2016) - sqrt(56)))\/(sqrt(56)\/(-5*(2*sqrt(7) - sqrt(7)) + sqrt(7))))**2.\nAnswer: 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + 3 + (1 - 3) - ((-79 - -12) + 65)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/15600)\/(54\/3402) - (-8)\/(-260).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2 + 7*p**2 - p**2 - p**3 + 2*p - 1. Let j be z(6). Let w = 2 + j. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - ((7 - 16) + 16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let z(h) = h**3 - 8*h**2 + 10*h + 8. Let w be z(6). Let p be (-9)\/12*w - i. Sort p, 5, 7 in decreasing order.\nAnswer: 7, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -236579450.7035 and -0.6.\nAnswer: -236579451.3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7621*x - 144792. What is k(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 - 2*i - 2*i - 10 - 24*i**4 wrt i?\nAnswer: -288*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in 1\/2, 2\/5, 12, 0.1, 4.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 15*b + 13. Suppose 3*w + 8 = -10. Let t be l(w). What is the remainder when ((5 - 0) + 2)\/((-11)\/t) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + -298934?\nAnswer: -298911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(130)*-2 + sqrt(130) - sqrt(130))\/sqrt(10).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 31*z + 202. Let j be i(-9). What is the closest to 3\/2 in j, 17, -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 13) in base 8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/126)\/((-43)\/172*(-32)\/(-14))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -18435, 4, 0 in ascending order.\nAnswer: -18435, -5, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17*k - 147. Let c(b) = 5*b - 29. What is -21*c(h) + 4*l(h)?\nAnswer: -37*h + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-27)\/12 - -2). Suppose y*w - w = 0. Suppose -5*f - 5 = -6*f. Solve h - f = -w*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12167, 25326, 39471, 54596, 70695?\nAnswer: 87762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61580, -61572, -61560, -61544, -61524, -61500?\n\"Answer: 2*u**2 + 2*u - 61584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2 + 6 = -n, 3*n = -4*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(2 + 1\/(-2)). Suppose -14 = -4*k - g*v + v, -8 = 4*v. Let r(y) = 4*y**2 - 2*y + 1. Let z be r(1). Solve -b = 3*u - 17, -4*u - b = -k*u + z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 418 and 30093872?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**2 - 1581 + 4*q + 12595*q**3 - 4*q - 4*q**4 - 12618*q**3 with respect to q.\nAnswer: -16*q**3 - 69*q**2 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 12 = -12*h + i, 0 = 5*i - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*u - 21 = 0, 3*y - 2*u = 20 + 6. Let i(n) = y + 4 - 21*n - 3 + 7. Is i(-4) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let c = -20 + 33. Suppose 22*v = c*v + 477. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -121. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smssvvsssssssmsssssm. Give prob of sequence svsv.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.84 - 1428.\nAnswer: -1422.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3193.2 - 0.32566.\nAnswer: -3193.52566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - 3*u - 19, 5*u + 45 = 5*p. Let r(n) = 28*n - 2. Let w be r(1). Suppose 0*g - 4 = 2*g, -3*g - w = 4*a. Put -2, p, a in descending order.\nAnswer: p, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 57ab?\nAnswer: 57a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7687027 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69 - 66 - 6*b**2 - 565*b**3 + 130 wrt b?\nAnswer: -3390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**2\/2 + 22*s - 30. Let p be w(-8). What are the prime factors of (-2)\/(p\/(-579)) - 2\/(-7)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -3*i - 7, 19 = -d + 7*i - 2*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:50 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2176*x. Let i(o) = -45745*o + 1. What is i(u(p))?\nAnswer: -99541120*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38054063849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22192 and 61202762?\nAnswer: 489622096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-9)\/(-1)*2\/(-12).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 4:36 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*d + 51, -64 - 2 = -4*q - 5*d. Suppose 2*j - 107 = u, -j - 2*u - 269 = -6*j. What is the remainder when j is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 10:18 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 557634, 1115269, 1672904, 2230539, 2788174?\n\"Answer: 557635*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 90, 1\/4, -3, 0.1, -5, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**4 - 10645*q**3 - 2*q**2 + 16253257*q.\nAnswer: -36*q**2 - 63870*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218499014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1505458146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - 79. Let t(z) be the first derivative of -2 + 0*z**2 + 1\/20*z**5 + 1\/16*z**p + 0*z**3 + 0*z. Factor t(w).\nAnswer: w**3*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1099 + 2*z**2 - 9*z**2 - 1106 wrt z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = -5*c + 59, -c + 3*o + 8 = 0. Suppose c - 31 = -4*y. Solve 0 = -y*v + 2 - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183 + -43. Suppose -k + 103 = -0*k - 4*r, -k + 79 = 2*r. Let o = 123 - k. Calculate the remainder when d is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299681960 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103 - (-153 + -1)) + -96.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 3:10 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -30, -53, -80?\n\"Answer: -2*v**2 - 13*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 5 (c) 0.003 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88904 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -126\/13 (b) -4 (c) 0.3 (d) 4\/9 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -1 (c) 25\/799 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v. Let u(i) = -5*i - 3. Let h be u(-1). Put v, 1, h in descending order.\nAnswer: h, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 5 + (8 - -122) + -3.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, -3, -1.1, 0.17, 3\/7 in increasing order.\nAnswer: -3, -1.1, 0.17, 3\/7, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-1)*l**(1\/4)*l**0 assuming l is positive.\nAnswer: l**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 6) in base 14?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f. Suppose b - 1 = s, 5*b - 2*b - 7 = 4*s. Let y be (s - (-1 + -2)) + (3 - 0). What is m(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5562363 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 64\/(1 + 1) + 2. Let w = h - 42. Which is greater: -9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/21)*(h*h\/(h*h\/(h*h**(-2\/101)*h)))\/h assuming h is positive.\nAnswer: h**(1877\/2121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38822 is divided by 12904?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*(((l\/(l*l**(3\/2))*l)\/l*l)\/l)\/l*l)*l*l**(-7)*(l\/l**2*l)**(-8\/3))\/(l*l**(-2\/3)*l*l\/l**1*(l\/l**(-1\/4))**19) assuming l is positive.\nAnswer: l**(-343\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 545639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 8*z + 8. Let a(u) = 9*u**2 - 23*u + 23. Suppose -19*r = 177 + 146. Calculate r*o(s) + 6*a(s).\nAnswer: 3*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/1290 + 33971\/1290. Let i = -26 + r. Let z be 3\/33*4\/(-2). Which is the nearest to 0.1? (a) 1\/2 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77378\/9 or 8599?\nAnswer: 8599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1391 + 1977. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114853704 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -367*m - 550. Let j(g) = 2*g. Calculate j(y(x)).\nAnswer: -734*x - 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide (1530\/(-9) + 6)*((-11325)\/20)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2422230525 + -4?\nAnswer: -2422230532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 835, 1322, 1809, 2296, 2783?\nAnswer: 3270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137 (base 10) to base 7.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 24. Let y = l - 48.00000172. Round y to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 3*d - 816 = -9*j, -d - 544 = -2*j. Let s = j - 161. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 200, 1, 0, 3\/4, 0.5 in descending order.\nAnswer: 200, 1, 3\/4, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/18 and -1\/20070.\nAnswer: 20070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let x = -3 - s. Let y = x - -5. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -67*a - 5. Let b(z) = -3*z + 1. Give -4*b(r) - q(r).\nAnswer: 79*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4130 less than -4130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 - a + 1. Let b(t) = -7*t**2 - 2*t - 6. Let n(h) = b(h) + p(h). Determine n(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b)**(6\/5)*((b*b**(2\/3))\/b)**(13\/3)*((b*(b*b**(-1\/4))\/b)\/(b**(1\/6)\/b))**(1\/33) assuming b is positive.\nAnswer: b**(1163\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 461220 and 1572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 738.5 + -739. Which is the third biggest value? (a) u (b) -58 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9135303 + 14.6865189. Let s = 15.6 - t. What is s rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 11:33 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1 + 8*t + 5 - 5. Let d(x) = 15*x + 1. Let k(o) = 3*d(o) - 5*q(o). What is the first derivative of k(f) wrt f?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 28 - (-96 + (29 - -85))) + 136?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 18*h + 582 = 0. Find the common denominator of 57\/22 and (h\/2)\/(2 - (-4 - -2)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/11 (c) 1\/47 (d) 1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**4\/24 + 2*w**3 + w**2. Let t be y(10). Let u be 2 - t - -2 - 2. What is the second biggest value in 1, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1*sqrt(25))\/sqrt(5) - -1*sqrt(5)*-3))**2 - (((sqrt(180) + sqrt(5))*-6 - sqrt(5))**2 - (sqrt(5) + sqrt(35)\/(sqrt(56)\/sqrt(8)))).\nAnswer: -9065 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33b (base 14) in base 16?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*576\/144.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49366665847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 11*a + z - 3*z + 2 = -6*z - 34, 0 = 5*z + 35 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.6814 nanoseconds in milliseconds?\nAnswer: 0.0008746814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13288*m**2 + 3*m - 26580*m**2 + 13293*m**2 + 9. Let d(l) = 1. Give 5*d(s) - z(s).\nAnswer: -s**2 - 3*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 32*y - 219. Give u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11049 and 2697?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (-112 - -34 - 13)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57602*k**4 + 115202*k**3 + 4*k**2.\nAnswer: -2*k**2*(k - 2)*(28801*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2 and 69\/244.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 6*m + 4*n + 64, 0 = -5*m + n + 64. What is the least common multiple of m and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138 divided by -78\nAnswer: -23\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 10. Let s be (-5)\/o*(-30)\/(-9). Find k such that -7*k**2 + 13\/3*k - s = 0.\nAnswer: 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 5*r**2 + 3*r. Let h be m(5). Let w(g) = g - 9. Let z be w(9). Put h, z, 1 in ascending order.\nAnswer: z, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*k + 85*k + m + 4957, k = m + 1653. What is the remainder when k is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by -1.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 345880 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 353.86 + 3.14. Let n = -371 + f. Let i = -10 + 7. Sort n, 0.4, i in ascending order.\nAnswer: n, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43172579 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000015 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: Let f be 0\/(-1) + 19 + -14. Let h be 4\/(-8) + 31\/2. Solve -3*l = -3*j + h, -2*l - 2*j - f = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-92*t**2 - 109*t**2 + 49*t**2 - 68*t**2)*(1 + 0 + 4) as k*t + s*t**2 + h and give s.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -50 + 12 + 15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 45308*b. Let n(u) = u**2. Determine n(x(o)).\nAnswer: 2052814864*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*l - 147*l + 63 + 621 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -138903.91 rounded to the nearest 100?\nAnswer: -138900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -393, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**3 - 29*v**2 - v + 16. Determine m(-8).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4 + 2 - 0). What is the units digit of 6 + 3 + (n - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwqwhh. Give prob of picking 1 q and 2 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-10))\/(94\/33). Let n = -1\/47 - k. Suppose z - 248 = -245. Put -4\/9, z, n in decreasing order.\nAnswer: z, n, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.485 and -0.063?\nAnswer: -0.030555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4583.42793001+-4\nAnswer: 4579.42793001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49025.\nAnswer: 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56228748 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 48105 and 48104 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 14. Let u be i(-14). Suppose 0 = -u*s - 5*s + 335. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2651121, 2651138, 2651155?\nAnswer: 2651172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1*((1 - 1) + 8))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -417*n**3 + 4*n**2 - 4*n - 8. Is o(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97227.038 to the nearest 100.\nAnswer: -97200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011 (base 2) to base 8.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -3*f**2 + 1\/15*f**3 + 0*f + 1\/150*f**6 - 1\/840*f**8 - 1\/75*f**5 + 0 + 1\/525*f**7 - 1\/60*f**4. Suppose h(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4 + i**3 + i + 5*i**2 + 0*i**2 + 0*i**2 + i**2. Let l be o(-5). Let m = 33 - l. Calculate the greatest common factor of m and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5335 and 127070?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227153877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 11*x**2 + x + 6. Suppose 3*d + 4*w + 37 = 0, -d - 8 = -2*w - w. Let q be o(d). Let u(v) = v**3 + 4*v**2 - 7*v - 7. Give u(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -1779?\nAnswer: 1779.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -83. Let b be (-1 - -3)\/((-3)\/k). Calculate the highest common divisor of 42 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2767 = 3012*f - 3211*f - 2539 - 7790 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-72)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 72665.1 to the nearest 100.\nAnswer: 72700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + 21. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 75, 87, 115, 165, 243, 355?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -190523 divided by 4\nAnswer: -190523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 7.128. Let x = 0.195 - a. What is x rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 9295*k**2 + 129390*k + 442800.\nAnswer: 5*(k + 6)*(k + 8)*(k + 1845)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*i + 3845 - 1584 = 0 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 2 c when four letters picked without replacement from {z: 5, h: 7, c: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/8 - (-29)\/(-2). Let v be m*((-4)\/(-3))\/(-4). What is the second derivative of 5*h**5 - h + 0*h**v - 2*h**5 wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5222.843ml in litres?\nAnswer: 5.222843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1203223130 + -132203?\nAnswer: 1203030321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.8. Let q = -264 - -264.1. Let v = 18 + -8. Which is the nearest to v? (a) g (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948033853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 47 + 47 - 7*y + 3*y**2. Let x(c) = -5*c - 26. Let a be x(-6). Suppose 2*f + 8 = f + 5*z, -a*f + 31 = z. What is b(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:41 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1029) + sqrt(105)\/sqrt(245))\/(-3*(-2*sqrt(378))\/sqrt(6)).\nAnswer: -65*sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 113, -2\/29, 2 in descending order.\nAnswer: 113, 2, 1, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86340 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 22. Let w = i - 14. Let m = 15 + -14. What is the biggest value in -3, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**0)\/m)\/m*m)**(-22)*m**(-1\/7)\/(m*m**(-1)) assuming m is positive.\nAnswer: m**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 89. Let n = -21 - g. Let u = -14.5 + n. Which is the third smallest value? (a) 4 (b) 2\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 - 3*u + 9. Let w = -7 + 0. Let g(t) = -11*t**2 + 6*t - 17. Let l(s) = w*z(s) - 4*g(s). What are the prime factors of l(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 11*r**2 + 2*r - 7. Let d be m(11). Suppose a + d = -4*a. Suppose 0 = -3*h + 11 - 29. Is a at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 4) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47277875 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6 = -d, -4*d - 5*p = -9*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:23 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/6 - 5*j**4 - 73*j**3\/2 - 175*j**2\/3 + 100*j = 0.\nAnswer: -20, -6, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g + 7. Let x be 2\/8 + 426\/24. Suppose -3*a - 4*n = -13, -2*a + 2*n = -0*n - x. Let z be f(a). What is the highest common factor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58748, -58746, -58746, -58748, -58752, -58758?\n\"Answer: -z**2 + 5*z - 58752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*f**2 - 73*f**2 + 7*f + 127*f**2 + 12*f**3.\nAnswer: 12*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 433.2 in -2\/13, 5, 0.5, -8.25, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275 divided by -93.\nAnswer: 275\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -44. Let d(r) = r + 3. Let m be d(-5). Let j be (28\/(-7))\/(m - 0). Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2882*x + 2761*x + 3642*x - 3112*x.\nAnswer: 6173*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.2 + -0.8. Let v = s - -10. Let p = 12898\/25 + -516. Which is the third biggest value? (a) -0.5 (b) 1\/7 (c) p (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*j**3 + h*j*l*w + 2*h*j*w - 28*h*w + 2*j**3*l + 3*j**3 + 266*l*w wrt l.\nAnswer: h*j*w + 2*j**3 + 266*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -7*4\/30 - (-32652)\/(-54420)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 14. Let g be d(-9). Suppose 2*y - 23 = 5*u, y - 17 + 1 = g*u. Suppose -3*m + 111 - 16 = -z, -y*m + 140 = -4*z. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/4 (b) -0.05 (c) 7\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -581905922.91642\nAnswer: -581905920.91642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-15)*4*2\/(-64)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y = -60*y - 376. What are the prime factors of y?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m - 1. Let u(p) = -p**2 - 3*p + 31. Let h(t) = -t + 17. Let o(n) = -7*h(n) + 4*u(n). Determine 10*j(w) + 2*o(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2835 divided by 15\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2 + 5*z + 17. Let a(o) = 2*o + 16. Give q(a(g)).\nAnswer: -20*g**2 - 310*g - 1183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2339514 and 9.\nAnswer: 2339514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.11 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6) + 4\/(16\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:40 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 19*y**2 + 41*y - 86. Is t(12) a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -13 in descending order.\nAnswer: 0, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 881733293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38.8 - -33.8. Sort -1, t, -4 in descending order.\nAnswer: -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461372630 to the power of 1\/2, to the nearest integer?\nAnswer: 21480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20575, -20474, -20359, -20224, -20063, -19870, -19639, -19364?\nAnswer: -19039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.588016 and 0.11?\nAnswer: 0.478016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80205820?\nAnswer: 2, 5, 293, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 - -252. Suppose -5*v + n = 5*a, -4*a + 2*a + 65 = 3*v. Suppose -5*t + 6 + v = 0. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 0 - (-101 + (0 - -3)). Suppose 100*g - 444 = i*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5753*s*t**3*z + 4*s*t**3 + 5*s*t**2*z + 185*t**3*z - 188*t**2*z - 2*t*z - 21611*z wrt t.\nAnswer: -34518*s*z + 24*s + 1110*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000784 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 256.42 - 260. Let p = w + -0.02. Let n = p - -3.7. What is the closest to n in 0.3, -0.7, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*z = -8, 0 = 3*g - 0*g - 5*z - 20. Suppose -4*k - n = -3, 5*k = -g*k - 2*n + 6. Solve -5*d + 2*d = k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -4*l - 2 + 2*l**2 + 2\/3*l**3. Let j be t(-4). Solve -3*w - j = -0*w, -2*u = -2*w - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 + -42235523?\nAnswer: -42240032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 13716?\nAnswer: -68580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**4\/4 + 4*s**3\/3 - 2*s**2 - 10. Let h be w(3). Which is smaller: h or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) - 1677\/26. Let t be (-20)\/25*i\/2. What is the highest common factor of 26 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**4\/12 - 10*x**3\/3 - 4*x**2 + 6*x - 8. Let h(s) be the first derivative of z(s). Does 6 divide h(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {g: 7, j: 1, i: 3, l: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from {m: 1, u: 1, z: 1, f: 1, g: 1, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/9)\/(c*(c\/(c\/((c\/(c**17\/c*c))\/c*c)))\/c*c)*c\/c**(1\/7)*c*c**3*c*c assuming c is positive.\nAnswer: c**(1363\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 7 - 5*c - 1\/2*c**2. Calculate i(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17859.369 to the nearest 10.\nAnswer: -17860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let q = 3 - k. Suppose -104 = -4*g + 28. What is the greatest common divisor of q and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 2*q - 1. Let j be l(-2). Let u = 0.43 - 0.13. What is the nearest to j in u, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 810\/81389 or -1?\nAnswer: 810\/81389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(2\/20). Suppose 5*b - 25 = -5*g, -4*g = -u*g + 5*b + 5. Suppose 55 = 5*i + g*t, i - 14 = -0*i - 4*t. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9606*b = -9621*b - 255 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2) - (-4 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10 + 9 - 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.88 + 1. Which is the second smallest value? (a) 2\/9 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103 - 65 + 4)*(4 - 6 - 5*y + 0*y) to k + b*y and give b.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 bigger than 180.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1585*n**4 + 1167*n**2 - 9289736 wrt n.\nAnswer: -6340*n**3 + 2334*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7026\/(-8)*(209\/33 + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1116*b**2 + 3 + 555*b**2 + 556*b**2.\nAnswer: -5*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 - 97*b**2 + 497*b + 9. Give w(17).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.921694us to seconds.\nAnswer: 0.000004921694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**3 - 2*w**3 - 3*w**3 + 0 + 0 - w**3 + (4 - 4 + 1)*(3*w**3 - 5*w**3 + 4*w**3) + 0*w + 0*w + 2*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kzkkkkz?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3747, -3797, -3839, -3867, -3875, -3857?\n\"Answer: m**3 - 2*m**2 - 51*m - 3695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1236\nAnswer: -4944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.14, -0.07, -1\/6, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 55*l**2 + 23*l + 20. Let d(j) = 19*j**2 + 8*j + 7. Let a(t) = -8*d(t) + 3*x(t). Let s be a(-1). Solve 4*b = s + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017256614 to 5 decimal places.\nAnswer: 0.01726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w - 49858*w**2 - 72*w + 26*w + 21*w.\nAnswer: -49858*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**7\/2 + m**4\/12 - 9*m. What is the third derivative of d(s) wrt s?\nAnswer: 1260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, 6, -5 in descending order.\nAnswer: 6, 3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 7*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 357693.7 centimeters?\nAnswer: 3576.937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3914 - 0?\nAnswer: 3914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15938, -53252, -115430, -202466, -314354, -451088, -612662, -799070?\n\"Answer: o**3 - 12438*o**2 - 7*o - 3494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 5:36 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*d**2 - 30*d**2 + 2*d - 2*d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 76.07. Let m = 0.17 - o. Is -12\/5 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Suppose 0*o - q = -4*o. Let g(l) = -2*l**3 + l - 1. Let p be g(o). Which is smaller: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxmi when four letters picked without replacement from xmiihaixi?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from czkkk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + z**4 + 2*z**4 + 3*z - z**4 - 3*z + (2*z - 2*z + 4*z**3)*(7*z - 3*z - 2*z) + (-3*z**2 - z**2 + z**2)*(-2*z**2 + 0*z**2 + 4*z**2).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c - 5*c)*(4 - 2 + 0)*(5*c - 4*c - 5*c).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9884485327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 8. Suppose -3*b = -0*b - 3. Let q be ((-1)\/2)\/(b\/(-6)). Solve -q*f + y = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 2756?\nAnswer: -2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -347*v - 3. Let s(f) = -2*f - 1. Give -m(q) + 4*s(q).\nAnswer: 339*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, a: 1, v: 1, z: 2}. Give prob of sequence kza.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -566 + 568. Suppose 3*w - 612 - 1723 = q*f, -4*f + 4 = 0. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.02, 21.8, 72, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 10*n - 34 + 1 + 13, 4*i - 4*n = -8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 13 + 11. Suppose -b = h - 2*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/28 - (-49999)\/(-4). What is z rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1237*x**2 + 1743*x wrt x.\nAnswer: -2474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 9*i - 6. Suppose 21 = -t + 15. Give m(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7461144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*p - 997470 = 250*p. What are the prime factors of p?\nAnswer: 3, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 145*n**2. Let h(f) = -8066*f. What is h(x(r))?\nAnswer: -1169570*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*v = 140, -3*f + 0*f = v + 84. Suppose 0 = -p + 3, 2*l + 5*p - 2 - 1 = 0. Let j = l - f. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16391, 32936, 49467, 65978, 82463, 98916?\nAnswer: 115331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -856 - -938 - (153 - 0)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2145158 from 5.\nAnswer: -2145153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 >= -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - f - f)*(3*f - 2*f - 4*f) + 0*f**2 - 3*f**2 + f**2 + 368*f**2 - 251*f**2 - 210*f**2 + (2*f - f + f)*(2*f - 4*f + f) as j*f + v*f**2 + o and give v.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-24)*10\/(-200)*-10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(0*g - 3*g + g) - 2 + 2*g + 2)*(31*g**2 + 186*g**2 + 100*g**2) + (-3*g**3 - g**3 + 3*g**3)*(-7 + 1 + 1).\nAnswer: 1907*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 1:55 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 2, 69 in ascending order.\nAnswer: -146, 2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.314 + 0.194. Let n = -5 - u. Which is the closest to -0.1? (a) 0.3 (b) 0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18339*i**2 - 15453*i**2 + 33821*i**2.\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -1\/3*r**4 - r**2 + 2\/3*r**3 + 3*r + 0 + 1\/20*r**5. Let o be q(3). Solve c = -0*c + o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1550044 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/117*(-468)\/3484\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2903 + -2885. Solve d*x + 57 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620 divided by -4.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0, -366, -0.4, 18, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t**3\/2 - 83*t**2\/2 + 1791*t + 400 = 0.\nAnswer: -25, -2\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19129787?\nAnswer: 19129787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 31 = 33. Let t(p) = -2*p**3 - 8*p + 8. Let o(q) = q**3 + 3*q - 3. Determine i*o(d) + 3*t(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000338758755 rounded to six decimal places?\nAnswer: 0.000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p**2)*(-3*p**3 - 2*p**3 + 3*p**3)*(-3 + 1 + 0)*(4 - 4 - 1).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u - 3. Suppose 3*m - u = 6*m. What is the nearest to m in 3, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 202, 368, 600, 898, 1262?\nAnswer: 1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (12 - (-8 - (17 + (-22 - 13))))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose 0 = q*o + 3*y + 13 - 37, -o + 5*y = 10. Suppose -2*i - 26 = -4*i + c, 74 = o*i + 2*c. Calculate the remainder when 40 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12057.55 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 39*y**5\/5 - y**4\/4 - 370*y**3 - 1226. What is the third derivative of n(c) wrt c?\nAnswer: 936*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(465\/127968*43)\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/120 + p**5\/15 + 5*p**4\/24 + p**3\/2 - 24*p**2. Let j be h(5). Calculate the highest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(693)\/sqrt(11) - sqrt(756)\/(sqrt(12)*2))\/((sqrt(180)\/sqrt(40))\/(sqrt(8)\/(sqrt(4) - sqrt(100)))).\nAnswer: -11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zizz when four letters picked without replacement from zzzzizzzziiizz.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f**2. Let x(h) be the third derivative of -h**5\/3 + h**3\/2 + 101*h**2. Let b(q) = -119*q**2 + 17. Let r(t) = 3*b(t) - 17*x(t). What is l(r(k))?\nAnswer: -1445*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 17 = -19. What is the nearest to s in -3\/4, -0.1, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x - 5*f = 20, -20 = -5*f. Let q(b) = 2*b**2 - b - 2. Let j be q(2). Let n be (-2)\/x - (-25)\/j. Solve n*i - 4 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z + 31. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 37*c**2 - 1732*c + 216. Give u(64).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30.35304 + -1\nAnswer: 29.35304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/(5\/6). Let y be 2\/((54\/681)\/(-3)). Let s = 75 + y. Which is the nearest to s? (a) 1 (b) z (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12953841 + 0.2\nAnswer: 12953841.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/8 - u**2 - 5009*u + 2. Let v(x) be the second derivative of -7*x**4\/6 - x. Give v(l(s)).\nAnswer: -126*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**2\/2 - 14*a + 14. Give g(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(1573) + sqrt(13) + sqrt(13))**2.\nAnswer: -78*sqrt(13) + 2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (sqrt(320)*-3 + 1)) + -4*sqrt(320)*-1)**2.\nAnswer: -128*sqrt(5) + 20481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2967\/115713)\/(2\/4*(-1)\/1).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 - 6 = 3*r, -r = s + 5. Let y be -1 - (r - 0) - (-13 - 4). What is the highest common divisor of y and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13923392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 + -110. Let d(i) = 15*i + y*i - 17*i. Let b(l) = 4*l - 5. Let n(v) = -3*v + 4. Let x(z) = -4*b(z) - 5*n(z). Determine d(x(h)).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let k(h) be the first derivative of -h**2 - 3. Let m(r) = -6*k(r) + 15*o(r). Let p(n) = -n**2. Determine m(p(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000111 + 111?\nAnswer: -10100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9665, -9663, -9661, -9659, -9657, -9655?\nAnswer: -9653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19601 is divided by 318?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808\/14 + 6\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7760 rounded to the nearest 100?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 75*t - 700. What is y(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 + 449 = 73*c - 298. What is the greatest common divisor of c and 4155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - 78. Which is the closest to -2? (a) v (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2071 divide 367283566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p + 2. Calculate the common denominator of 55\/18 and p - 44\/(-48)*1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231\/124 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 2. Let z be l(0). Suppose q + 4*s - 10 = -2*q, -4 = -2*q - z*s. Calculate the common denominator of -27\/14 and q\/8 - 1053\/(-572).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*i = -2*l - 48, -3*l - 36 = i. What is the units digit of (-2)\/3 + (-272)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5 + 2*g**2 + 19 - 14. Let k(w) = -18*w**2. Give k(x(j)).\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1136, 4192, 9282, 16406?\nAnswer: 25564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.5496, 25.\nAnswer: -1\/2, 0.5496, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.119? (a) -5 (b) -2\/5 (c) -1\/5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000197748803 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-3)*9\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/23))**(-41) assuming k is positive.\nAnswer: k**(82\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53.3 + -51. Let c = m + -3.3. Which is smaller: c or 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2121158533.\nAnswer: 13, 37, 137, 32189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1148 = -2*z + w + 728, 0 = 2*z + 4*w - 1856. Does 56 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214 - -481\/2. Find the common denominator of c and (-5)\/(-2)*(-122)\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345008052 to the power of 1\/2, to the nearest integer?\nAnswer: 18574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2893 + -2889. Let b = -3 + 2.5. Put m, -2\/11, b, 0.5 in increasing order.\nAnswer: b, -2\/11, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -486, -1656, -3636, -6426, -10026, -14436, -19656?\n\"Answer: -405*b**2 + 45*b - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 197, 0, 1, -11, 29, -2 in decreasing order.\nAnswer: 197, 29, 5, 1, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/45 and -97\/2145.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8509895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 79*v - 19\/24*v**4 + v**3 + 0 - 17\/30*v**5 + v**2 - 3\/40*v**6. Factor o(c).\nAnswer: -(c + 1)*(c + 3)*(9*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4016\/6489 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 4, 5*w + 26*a - 24*a = -34 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-4) - (-7)\/((-28)\/(-8)). Let p = 7 - 12. Which is the second smallest value? (a) p (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -1, 917, 5, -4 in increasing order.\nAnswer: -4, -3, -1, 2, 5, 917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*j = -96, -3*j - 59 = -4*l + 15. Is l equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**15*x*x*x*x))\/x*x**16*x*x*x\/(x*x**(1\/20))*x*x*x**12)**(2\/13) assuming x is positive.\nAnswer: x**(239\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 260*r + 1761. Is 145 a factor of p(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(0 - -4)*9*-1. Suppose 0*n = -n - x. Let v(d) = -155*d + 45. Let z(c) = -7*c + 2. Determine n*z(i) + 2*v(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1, 67, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000245 rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i - 5*i + 11*i + i - 5*i + 3*i + (-3*i + 2*i - i)*(6 - 2 - 2))*(0 - 3 + 2) - 3 - 4*i - 2*i + 4*i + 0*i + 0*i - i.\nAnswer: -19*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -767*h**3 + 114*h**2 + 134855*h wrt h.\nAnswer: -4602*h + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5250)\/(-168) + (7 - 75\/12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*g - 19 = 0, -6*w + 2*g = -w - 5. Let s be (-16)\/(-680)*(-2 + 0 - 3). Which is smaller: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + -1 + 5 + (sqrt(300) + -1)**2 + sqrt(300) + 2.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/879357 and -32\/879357?\nAnswer: 879357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3 - 3 - 1. Let o be (-2)\/6*(-5 + 2). Suppose 0*z - 2 = -2*z. Let d(g) = -g + 1. Calculate o*d(a) + z*i(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 576?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 1\/120*o**6 + 2 - o**2 + 5\/24*o**4 + 2\/3*o**3 + 0*o - 1\/10*o**5. Let g(s) be the second derivative of d(s). Give g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/12*(-20)\/(-6). Solve u = -3*i + 7, -2*u + z*i = 10 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 - -212. Let d = t - 3. Calculate the smallest common multiple of d and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 44*b**2 + b - 2. Let g(c) = -47*c**2 + 4 + 2*c - 4*c - 41*c**2 + 0*c. Let k(z) = 4*g(z) + 9*m(z). Is 16 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1911211 is divided by 15275.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 866 + 2518. Let y = w + 624. What is the greatest common divisor of 168 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 5*t = -52320 - 29849, -25 = -5*t. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhi when four letters picked without replacement from ihhtooiihhooo.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 13*g**2 - 15*g + 45. Let n(o) = -3*o**2 + 4*o - 11. Let y(d) = -2*i(d) - 9*n(d). Factor y(a).\nAnswer: (a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 5*n - 9. Let s be (-18)\/7*(n - 4). Let d be (0 + 2)*s\/12. Solve -o = d*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -14, 15449?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**8\/6720 - p**7\/2520 - p**6\/720 + p**5\/30 - 3*p**4\/4 - 14*p. Let b(o) be the third derivative of m(o). Calculate b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318976 divided by 5696?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = -0*r, 5*i - 5*r = -195. Let y be i\/56 + 2\/(-7). Put 13, -5, y in descending order.\nAnswer: 13, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153096 divided by 12?\nAnswer: 12758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + 14.1. Let x = -11 + v. What is the smallest value in -2\/3, 0.3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 9*o - 8. Let a be q(-7). What is the common denominator of 124\/a + 2\/(-4) and -59\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5*x = 0, 3*o + 3*x - 15 = 0. Suppose 340 = 5*n - o*l, -2*l + 72 = n + l. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23583 * 0.0047.\nAnswer: 110.8401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 2*b + 708, 4*b - 738 = -2*j. Suppose -2*k = -5*i + 5066, -3*i - 4*k + 2665 = -j. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 1*2\/(-2). Let q(b) = -5*b - 36. Let r(l) be the first derivative of 2*l**2 + 29*l + 37. Let g(s) = 5*q(s) + 6*r(s). Give g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27615272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -32760 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47192155 to three dps.\nAnswer: 0.472","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -585 = -14*n - 543 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126288*g + 0 - 126285*g + 0.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**9\/252 - a**5\/20 + 3*a**2 + 16*a. Let d(g) be the first derivative of t(g). What is the third derivative of d(s) wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/((-30)\/(-4)))\/(20\/5). Let n = 19 + -29. Let x be ((-5)\/n)\/(4\/(-3)). Which is the second biggest value? (a) 0.2 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 922, -3, 8, 2, 1 in increasing order.\nAnswer: -3, 1, 2, 8, 922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -12. Let n be u*(0 + 0)\/(-2). Does n = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -197 and 942840 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112218911001217\/192062449394580 + 2\/7603422383. Let z = 2\/2105 + s. Find the common denominator of z and (-562)\/(-330) - 4\/10.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -43. Find o, given that 14*o**5 + 6*o + 16*o**2 + 4*o**4 + 2*o - 13*o**3 - 29*o**3 + m*o**4 = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) 0.0234 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1385188.\nAnswer: -5\/1385188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/11)*u**(-4))\/((u\/(u\/((u**(-6)\/u*u)\/u)*u*u*u))\/(u**(-2\/5)*u)) assuming u is positive.\nAnswer: u**(408\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/20 + 5*o**4\/24 - 2*o**3\/3 + o**2. Let n be (48\/18)\/((-4)\/6). Does 8 divide w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1067368 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.806563ml?\nAnswer: 0.007806563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21032 or 21112?\nAnswer: 21112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -3. Let j(v) = -v**2 - 5*v + 1. Let z(i) = i**2 + 6*i - 1. Let d(u) = -2*j(u) - 3*z(u). What are the prime factors of d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -6. Suppose l*t + 8 = 3*y + 2*t, y = 4*t - 4. Let f be (-30)\/y*18\/27. Is -6 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*o - 10, 6 = 4*v + 3*o + 7. Factor 11*q**v + 3*q**2 - 14*q**2 + 22*q + 6*q**2.\nAnswer: 2*q*(3*q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)*k**(3\/8)\/k*k)**(-1\/2)*k**2*k**1*(k**6\/k)\/(k**8*k) assuming k is positive.\nAnswer: k**(-225\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1216)*1*-2 - (-2 + sqrt(1216)*-1)) + -5) + -2.\nAnswer: 13 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1471 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000103 rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -21*z**2 - 1. Let i(y) = -3013*y**2 + 1501*y**2 + 1513*y**2. Give i(x(s)).\nAnswer: 1764*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52.82 + -48.82. Which is the third smallest value? (a) j (b) -1.12 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -512 - -515. Suppose 3*v - 3032 = -2*y, -7*v + x*v + 4044 = 4*y. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -736 + 740. Let i = -10 - -15. Suppose -d + i + 13 = -h*r, 0 = 5*d - 2*r - 162. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 25*z + 68. Let u be k(-22). Let l be u\/(-10) - (-318)\/15. Solve l = o - 2*o - 4*x, o - 4*x = 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34480 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s + 4. Suppose 31 = -5*d + 6, -2*d = 3*b - 2. Let c(w) = 15*w - 1. Let f(r) = 8*r - 1. Let a(n) = 4*c(n) - 7*f(n). What is b*a(z) - 3*k(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217080 + 217080 - 358*j.\nAnswer: -358*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/4))**(10\/9)\/(k\/(k*k*k**(-3)*k*k*k))**(10\/9) assuming k is positive.\nAnswer: k**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + (-4 - -4) - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-6)*r)\/r)\/r**(2\/11))**(5\/12)*r**(-2)\/r**4*r**(-2\/9)\/r*r**(-5\/2) assuming r is positive.\nAnswer: r**(-4705\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((125\/5)\/5)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -17. Let q = 6 + i. Which is bigger: -3\/7 or q?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*m - 0*m + 5*o, m - 42 = -2*o. What is the remainder when 155 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142.76 - 138.76. What is the closest to -0.4 in -0.06, l, -2, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*2*3 + sqrt(81) + sqrt(81))\/(sqrt(30)\/(sqrt(10)*-5 - sqrt(10))).\nAnswer: -144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 10) to base 8.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1)*1\/(-2). Let o(p) be the first derivative of p**2 + 480*p + 5. Let r be o(u). Round r to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q*y**3 - 2*q*y**2 - 2795*y**6 - 2304*y**2 + y wrt y?\nAnswer: 12*q - 335400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7335*p - 7339*p - 7341*p - 7336*p - 7332*p + 36689*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 6*w**2 + 5*w - 7. Determine x(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a - 5. Let q = 12 + -15. Let s be j(q). Let n be s + (-6)\/2 + 1. Solve 3*t - n + 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318290 divided by -815?\nAnswer: -63658\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25659 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 2*m - 5*i + 10, -5*m - 5*i = 30 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*j - 34*j + 18*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/33 - 4\/(-22). Suppose 5*b = -y*b. Put -2, 1, b in decreasing order.\nAnswer: 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a69 (base 16) in base 4?\nAnswer: 100221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 - 3*k + 5 - k**2 + 3*k**2 + k**2. Let l(s) = -37*s - 1. Let o be l(-1). Let b be (-6)\/o + 58\/(-12). Give n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siin when four letters picked without replacement from cscicnic.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 6:19 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2063 + -2145113?\nAnswer: -2147176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1332*m + 17 - 4 - 13 - 335*m as w + j*m and give j.\nAnswer: -1667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-25)*r)*r)\/r)**(2\/5))**(-22) assuming r is positive.\nAnswer: r**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 18 + 6)*(-1 - 2*f + 1).\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + (-1)\/(14\/(15 + 83)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwoww. What is prob of picking 2 w and 1 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173\/4 - 2587\/60. Let f(n) be the first derivative of 9 + 2\/25*n**5 - u*n**3 + 1\/30*n**6 - 1\/20*n**4 + 0*n + 0*n**2. Factor f(y).\nAnswer: y**2*(y - 1)*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**(2\/41)*k\/k**(-7)*k*k*k\/k**0)**(12\/7) assuming k is positive.\nAnswer: k**(5364\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a = -167*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 6:58 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s + 72810 = 62*s. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 2, -40 in ascending order.\nAnswer: -40, -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 140*n + 146. Calculate x(46).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3718 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/280 and -46\/62965805?\nAnswer: 503726440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -10. Solve -5*f - 30 = g + 3*g, x = f - 2*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -67*a + 6. Is h(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 23 = 4*p, g = -2*p - 0*g + 11. Calculate the lowest common multiple of p and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 0, 1\/3, 22?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 646253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {w: 9, a: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.68 + 0.68. Which is the biggest value? (a) 8 (b) 0.5 (c) -0.3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46803319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1100 and 16.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121011*c**4*r - 94177*c*r wrt c.\nAnswer: 1452132*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 564542 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0 - 1\/6*b**3 - 3*b - 5\/2*b**2. Let k be ((-2)\/1)\/(3 - 14\/6). Give s(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:02 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 44 - 4. Let q(b) = 0 - 9*b - 2 - t*b**2 + b**2 + 3*b**2 + 4*b. Suppose 0 = -a - 5 + 2. What is q(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*i - 2*i**2 - 16*i + 1)*((-3*i - 3*i + 4*i)*(415 - 314 + 381) + 2*i + 5 - 5) to j*i**3 + x + s*i + u*i**2 and give j.\nAnswer: 1924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1618817 + 2358646. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7*u + 29 = 8*u, -3*i = 11*u - 91 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20339)\/(-22) + (-6)\/(-4) + -1. What is the highest common divisor of 37 and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 3, k: 1, z: 8, e: 2, o: 1}. What is prob of picking 1 k and 2 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.5 + -9.67. Let l = d + 0.17. What is the closest to 1 in 3\/4, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u - 12. Suppose u*w - 70 = -11*w. Solve w*t = -0*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, f: 9}. Give prob of sequence ff.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 51*u - 395. Determine z(9).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2, -3, -33\/7, 1\/4 in descending order.\nAnswer: 2, 1\/4, 0.1, -3, -33\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.96. Let j = m - 4.96. Let n = j - -5.0000017. Round n to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 538*w + 152 = 503*w, 5*w = 5*o - 40 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4135 - 12052?\nAnswer: -16187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-4500))\/((-33)\/396).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-70))\/(3\/(-6)*33\/(-22)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23846 (b) -2 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 16*r**5 + 11076*r**4 - 75520*r**3 - 19572*r**2 = 0.\nAnswer: -699, -1\/4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 138 = 3*a. Let u = a - -23. Suppose u = -4*f + 12, 2*b + 3*f - 13 - 204 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292480 + 8932654. Suppose 0*k - 2*k = -3*x - 5184104, -3*k = -5*x - q. Let n = -1178036 - x. What is n rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2))**12\/(y\/(y*y*y\/(y**6\/y))*y\/y**(2\/5)*y))\/((y**6\/y)\/(y\/y**(-2\/11))*y*y\/((y**(1\/5)\/y)\/y)*y*y*y*y*y**(2\/23)) assuming y is positive.\nAnswer: y**(-13036\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 2398043.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 30 = 12*u. Solve -l - 2 = -2*z, 2*z = -3*l - 8 + u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -16, -6, 20, 68?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwwffj. Give prob of picking 2 w and 2 f.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 241 + -2aa75?\nAnswer: -2a834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in -0.4, 14, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16167a337 + -2?\nAnswer: -16167a339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 5, j: 4}. What is prob of sequence jyj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/39*(-3)\/(-7)*(-112)\/(-80). Factor -n*l**2 - 24\/5*l - 72\/5.\nAnswer: -2*(l + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + u + 9 = 4*u, -5*u = 4*l - 13. Find v such that -v - 13*v**2 + 15*v**l + v = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27889 and -4.\nAnswer: -111556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1029857, 1029838, 1029819, 1029800, 1029781?\n\"Answer: -19*r + 1029876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-441)\/(-294))\/((-34)\/(-8) + 1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23450 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3 - 4*d**2 - 7*d**2 - d**3 + 0*d**2. Let y be f(-11). Solve 2*v + 3*x + 10 = y*v, v - 2*x = 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c**2 - 5*c**2 + c**2)*(-8*c + 9*c - 14*c + 4 + 4*c - 4 + (2*c + c - 5*c)*(4 - 4 + 1)) in the form t*c + b*c**3 + k + o*c**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by (-9747)\/(-81) - ((-15)\/9 + 2)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2 (b) 1\/2 (c) -487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*k**5 + 3*f*k**2 + 2451*k**3 + 3015*k**2 - 1 wrt k?\nAnswer: -60*f*k**2 + 14706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2090185 and 1770315?\nAnswer: 5515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2 + 6*u + 42. What is p(-5)?\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1318594470 to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 432969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvdgesr. Give prob of sequence vver.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/550514848 and -85\/4?\nAnswer: 550514848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(26\/3))**(-2\/61)*(z**(-2\/11)*z**(-5\/4))**(-2\/55) assuming z is positive.\nAnswer: z**(-51391\/221430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 22 = 2*f - 0*c, -4*f + 4*c = 16. Let d(u) = -9*u + 4. Calculate the remainder when d(-2) is divided by (4\/4)\/(f\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - 0) + 7 + (-17 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 39*d - 42*d + 1, 5*d - 3 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a - 141. Determine l(-31).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 45 = -5*a, -3*a = -2*g + 3*g + 6. Let o = g + 10. What is the nearest to 1 in -0.4, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 93?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3218 + -3218.3. Suppose -2*o = 3*m + 21, -6*m - 20 = -5*m + 5*o. Put m, 0.5, w, -4\/5 in descending order.\nAnswer: 0.5, w, -4\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -0.5, -14914, -0.1, -5 in ascending order.\nAnswer: -14914, -5, -2, -0.5, -0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11498 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 8085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2095111, -2094876, -2094641?\n\"Answer: 235*k - 2095346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -9 (c) 0.5 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -g + 1, -4*f - 3*g - 25 = -0*f. Let i = 1 + f. Let h be ((-290)\/i)\/(1\/(-60000)). What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(2\/7)\/m*m)))**(-45)*m**(3\/4)\/(m*m\/(m**(4\/5)*m)) assuming m is positive.\nAnswer: m**(-1723\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*i**4 + 2*i**3 - 26*i**2 + i - 783 wrt i.\nAnswer: 444*i**2 + 12*i - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 10. Let j be b(-5). Let r be j\/2 + 4\/8. What is the units digit of (2 - (2 - -2))\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 0*k)*(0 + 1 + 1) - 572 + 25 - 52 + k.\nAnswer: -k - 599","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*p + 4*p - 18, -3*p + 12 = 3*l. Suppose 3*x - 5 = -4*y + 1, -p*y + 13 = x. Solve 2*b = -5*q + 29, -5 = 6*b - b - y*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10676*x + 9130*x + 27540*x.\nAnswer: 47346*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/17, 3\/1172, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -174 and -19.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 32. Let f = 1 + n. Let q = 15 - f. What is the smallest common multiple of 4 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 77.51. What is p rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 0 + -2)*-2 + 5 + (-3*(sqrt(931) - -1*sqrt(931)))**2.\nAnswer: -14*sqrt(19) + 33525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 13*j**2 - 11*j + 2. Let a be g(12). What is the greatest common divisor of 70 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 12 + (50 - 100)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w - 189. Let b be p(-19). Solve 10*c - b - 49 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4315 - -1.4715. Let z = 7 - 10. Which is the second smallest value? (a) z (b) -6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1235*q = 1281*q + 552 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 25*g)*(3 + 0 - 2).\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-88)*3)\/((-16)\/(-88))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 7*i + 5. Let u be y(2). Let v(s) = 3*s**2 - 2*s + s**3 + 4 - 5*s + 7*s. Let n be v(-3). Solve 5 = a + u*r - 3, -n*a - 36 = -5*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 - 2*q**2 - 4*q - 5. Let m be w(-3). Let y be -8 - -5 - m\/(-2). Let u = -71 - y. Calculate the highest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -861, 0, 2, -1 in decreasing order.\nAnswer: 2, 0, -1, -4, -861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -27, -27, -9, 33, 105, 213?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 181*s + 848. Calculate the remainder when 511 is divided by i(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -5.0819.\nAnswer: -0.101638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/9)*j**(-21\/2)*j*(j\/j**(-2\/127)*j)\/((j**(-43)\/j)\/j) assuming j is positive.\nAnswer: j**(86269\/2286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 2)*(-5 + 0 + 2) + 1 + 2 - 4 - 3 + 6 + 0)*(x + 2 - 2).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2100390\nAnswer: 1\/420078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 380\/(-57)*6*(-6)\/(-8). Let x be 4\/5 + 39\/i. Let d be (-205)\/30 + 1\/(-6). Which is the second biggest value? (a) d (b) 3\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.8 - 0.2. What is the closest to 2\/7 in -5, i, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5*j**2 + 4*j - 8. Let o be s(-6). Let v = 3 - o. Which is smaller: v or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g + 1. Suppose g = 4*k - 9. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*j - 5*i = -29, -5*j + i + 32 = 0. Calculate the highest common factor of j and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219526, -219518, -219508, -219496, -219482?\nAnswer: -219466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d - 4*d - 5*d in the form i + l*d and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.2. Let c = -335.5 - -335.43. What is the closest to i in -2\/13, 1\/2, c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 33. Solve 0 = -2*x + t*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (0 - (-3 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.9 + 28.9. Sort 2, q, -5, 1 in descending order.\nAnswer: 2, 1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 - 0.41. Let v = -364 + 243. Let q = 122 + v. Which is the nearest to 3? (a) q (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 8, -j + 0*j + 20 = 4*k. Suppose -7*s + 5*s + j*b + 794 = 0, -4*b - 20 = 0. What are the prime factors of s?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 15*n + 96. Let v(o) = -o - 6. Give 2*s(j) + 33*v(j).\nAnswer: -3*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15990 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v**5\/5 + v**4\/4 - 342*v**2 - 3353*v - 4086. Differentiate u(c) wrt c.\nAnswer: -8*c**3 + 3*c**2 - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:40 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4118 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964 not equal to 2964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/13 (b) -0.18 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**2 - 48*b + 467. What is j(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 5. Let g be y\/4*(1 + 0). Suppose 2*b + 4*s - 90 = 0, -g*b + s + 44 = -21. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 48*p - 82. What is r(-26)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -142.061. Let a = 0.06289 + r. What is a rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58759*j + 3272?\nAnswer: -58759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*w - 1385 - 235 = -21*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -59. Which is bigger: -0.7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(252)*-1 + -1)**2 + -2.\nAnswer: 48*sqrt(7) + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115730000 rounded to the nearest 1000000?\nAnswer: 116000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-44))\/(5\/(-2)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 51. Solve 0 = 3*p + 4*n + 5 + k, 18 = -4*p + 2*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 14) to base 13.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3 - 5*x**2 + 7*x - 3 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 324*q - 2692. Let w(d) = 2*d**2 - 2*d + 2. Let a(j) = 5*i(j) - 30*w(j). What is n in a(n) = 0?\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 1 w when three letters picked without replacement from wvpspsvsvplsxwvwv.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/2*(-4)\/(-50)*3825\/(-153)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 33 + 15 = 0. Suppose 0*n - 244 = -4*a + 4*n, 2*a + r*n - 92 = 0. Calculate the highest common divisor of a and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v**2 - 79*v - 4012. List the prime factors of l(-50).\nAnswer: 2, 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*v**3 - 52*v**3 - 42*v**3.\nAnswer: -39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45096200 rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -5)\/((-1)\/(-11)). Let d(j) = -j**3 + 12*j**2 - 18*j + 13. Let x be d(10). Does 31 divide 1 + n\/(x\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 1. Let w be h(-1). Let q(k) = k + 4. Let r(s) = s + 4. Let x(p) = w*q(p) - 2*r(p). Calculate the lowest common multiple of 11 and x(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*c - 4 + 3 + 41.\nAnswer: 48*c + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -91, -145, -221?\n\"Answer: -11*u**2 + u - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003759601 to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c - 8. Let m be v(4). Let t = -6 + m. What is the units digit of (19\/3)\/(1\/t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 + -1 - (-29 - -16 - -16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108 times -5?\nAnswer: 5540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5400 and 5?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-9) - (-4)\/6. Suppose -t + 35 = i*t. Suppose -3*l - t = 2*v, -2*v + 3 + 0 = l. Solve 2*g - 2 - v = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 491.642nm?\nAnswer: 0.000000491642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 - 270. Let o be a\/(-28) - (-6)\/21. Let c = -6 + 1. Sort o, c, 3 in decreasing order.\nAnswer: o, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29765\/319 - -2292\/29. Let i = 15 - 1. Let c = i + t. Is c less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -5*h + 54. Let z(k) = k + 2. Let p be z(5). Suppose -p*b + 6*b = -h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((136\/24)\/(-17)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) 126\/4089541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 52. Let d = -1\/105 + 31\/105. What is the nearest to 0.1 in -3\/2, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26820*b - 3 + 53637*b + 7 - 26810*b.\nAnswer: 7*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**3 - 284*h - 13. Let v(q) = 2*q**3 - 198*q - 9. Determine 5*c(t) - 7*v(t).\nAnswer: t**3 - 34*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 4. Let w be (((-165)\/176)\/15)\/((-1)\/16). What is t(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101557 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/30 - 1373*f**4\/6 + 1885129*f**3\/3 + 3781*f**2. Let v(m) = 0. Calculate m.\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 9 = 5*g. What is the remainder when 171 is divided by (49 - 3) + (-1 - (3 + g))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s + 8*s - 208 = -39*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2640162 and 2640162 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 2987 = 150*t + 733 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109079\/42 + -2597. Let f = -23\/42 + k. What is the second smallest value in -1, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*g + 88 = 3*p + 910, 4*g = 3*p - 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 552282900 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -638 + 638.11. Which is the third biggest value? (a) g (b) 0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33588 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155740808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.00781632 rounded to three decimal places?\nAnswer: 17.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*x**2 - 213*x**2 + 78*x**2 + 46*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 4 + 1814*s.\nAnswer: 1814*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 4*u - 3. Let a be s(-4). Let x = a - -5. Solve 0 = c + x - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 81*g**3 - 5*g**2 + 18*g - 16. Let t(r) = 118*r**3 - 7*r**2 + 26*r - 23. Determine -7*j(b) + 5*t(b).\nAnswer: 23*b**3 + 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -7*a + 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**3 + 2*n**2 - 1. Let r be z(1). Let m = 5 - r. What are the prime factors of (m + -30)*1\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3233 + -3?\nAnswer: -3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -43, 0, 5 in decreasing order.\nAnswer: 88, 5, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, n: 3, j: 13}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 32, -0.28 in decreasing order.\nAnswer: 32, -0.28, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 72 - 280 = 0. Let h = d + 130. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d = -10. Solve 5*q = 35 - d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 34. Let a be z(-18). Suppose -5*p + 100 = 125. Let l(w) = -2*w**2 - 6*w + 3. Let t be l(p). Is t bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86334, 172819, 259298, 345771, 432238, 518699?\nAnswer: 605154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - r - 3)*(-2*r**2 + r - r) - 1 + r**3 + 1 + 11*r**3 - 9*r**3 + 9*r**3)*((-1 + 6 - 3)*(2*r**2 + 4 - 4) - 13*r - 17*r + 41*r**2 + 32*r - 1).\nAnswer: 630*r**5 + 28*r**4 - 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 2. Let w = 38 - -21. Let m = -59.4 + w. Which is the biggest value? (a) q (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 210145432300 and 0.53.\nAnswer: 210145432300.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -37. Let s(m) = m**3 - 9*m**2. Let b be s(9). Which is bigger: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = 3*x + 6, -2*x + 20 = -5*d. Let k(m) = -m**2 - 7*m + 5. Let l be k(-7). Suppose -l*o + 15 + 0 = x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2574 + -0.0426. Let b = 0.09 - 5.09. Put 1\/2, 0.2, b, h in increasing order.\nAnswer: b, h, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2564 + -2566. Which is greater: j or -96.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2*u**3\/3 + 3*u**2 - 1. Factor g(t).\nAnswer: 2*t*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*d**2 - 1603*a**2*d - 56*a*d**2 + 5*a - 3*d**2 wrt a.\nAnswer: -6*d**2 - 3206*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*z + 544 = 5*q, 726 = 4*q + 2*z. Calculate the least common multiple of 2\/6 + (34\/(-119))\/((-18)\/357) and q.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.5, -75, -152, 8 in ascending order.\nAnswer: -152, -75, -3\/4, -0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*h**2 - 11*h**2 + 12.\nAnswer: -3*h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11007 is divided by 733.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + 38\/(-50) - (-48 - -88)\/40\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 10 = p, 5*u - 3 = -p + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -2 + 12 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15966, 9 in decreasing order.\nAnswer: 15966, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 8, 0, 503, 55 in increasing order.\nAnswer: -1, 0, 2, 8, 55, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 2) + 20\/(-12) + 4\/24. What is the closest to 0.3 in 0.2, 11, 2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:12 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - k = -2, -4*b + 15 = -k - 1. Let p = b + 0. Solve -p*d = 2*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/2)*p)\/((p**(1\/4)\/p)\/p*p*p)*p**(6\/13)*p\/p**4 assuming p is positive.\nAnswer: p**(-67\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*s = 4*n - 67, -4*n + 3*s = -35. Let m(q) = -q**3 + 9*q**2 + 10*q + 4. What is the remainder when n is divided by m(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29410, -3\/8, 0.3, -2\/11.\nAnswer: -29410, -3\/8, -2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 18*u + 84*u to the form w*u + c and give w.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(-3 + sqrt(13) + sqrt(13)) + ((sqrt(130) + 1*sqrt(130))\/sqrt(10))**2*4.\nAnswer: 16*sqrt(13) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15648063 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 61 = -a, 0 = -3*a + k - 5*k + 143. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341113543 divided by 950177.\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 - -142. Suppose 0 = q - 23 + p. What is the remainder when 25 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 2*f**2 - 7*f - 2. Let t be h(2). Determine p, given that 2*p**2 + 140*p - 40*p + t*p**2 + 1250 = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729854699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632\/(-728) + (-335)\/(-469).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 106*y + 84. Let f be w(27). What is the highest common divisor of 390 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from vavlkrb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-1 + 2) - 2. Suppose -5*c + 70 = -m*c. Let q = 117 + -115. What is the least common multiple of q and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(1 + 0) - (63 + -61)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82737\/39 + (-378)\/819?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -64, 3 in decreasing order.\nAnswer: 19, 3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2785, 5561, 8339, 11119, 13901, 16685?\nAnswer: 19471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + 3 + (sqrt(1152)\/sqrt(4))**2)*-6 + -3.\nAnswer: -1779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 9885 and -0.0068127248.\nAnswer: 9884.9931872752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 18*k**2 - 64*k + 11. Let p be j(-5). Which is the closest to p? (a) 1\/4 (b) -2 (c) 0.4 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 12275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) - (-165)\/20. Let s = f + -6. Suppose 2*l = -3*x + 37 - 3, x = -2*l + 14. Solve s*y - 1 = -x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78161 and -0.0658.\nAnswer: 78160.9342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2. Let n(r) = -63*r**2 + 33*r - 33. Let v(g) = -4*g**2 + 2*g - 2. Let o(t) = 4*n(t) - 66*v(t). What is k(o(h))?\nAnswer: 144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3974*n + 55637. Give r(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 6*p + 481. Calculate w(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 5*r - y, r + 5*y = 6. Let d be r + 2\/4*2. Let u = -14 + 16. Solve -c = 5*x + 6, c - d*c + u = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166680180?\nAnswer: 2, 3, 5, 31, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + s**2 + 9*s - s - 4*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2872.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54\/90 + (-7672)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/3443 and 12\/4069?\nAnswer: 44759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 4, -3071, -2\/15, 3\/5, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.357116 litres?\nAnswer: 7357.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20770 (base 10) to base 14\nAnswer: 77d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10 + 2*f - f - 2*f. Let g(u) = u - 1. Let j be g(8). Does 3 divide s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3824a (base 12) to base 15\nAnswer: 1796d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*z = -f - 18, 2*f + 4*z = 6. Let g = 6446 - 6438. Which is the nearest to 4\/3? (a) f (b) g (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -5282.\nAnswer: -3\/5282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 330.9373 - 331. Let m = -0.06 - q. What is m rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -21 - (-185 + 207)) + 16 + -3 + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569408679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 418787 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*h - 2*h**3 - 5*h**2 + 9 - 8*h - 6*h**3 + 24*h + 3 to k*h + q + c*h**3 + o*h**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, -3, -2 in decreasing order.\nAnswer: 3, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*o**2 - 8347774*h**2*o - 57750013*o**2 wrt h.\nAnswer: -4*h*o**2 - 16695548*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - 9*u**2 - 2*u - 3. Let p be b(4). Let t = p - -36. Suppose -t = -5*j + 231. Calculate the greatest common divisor of 120 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 201\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 0, -3*c + 160 = -8*c - 2*a. Let z = -20 - c. What is the greatest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 10) + 4\/2. Let l(r) = 8*r**3 - r**2 + r - 2. Let i be l(0). Let x be -6*(2 - (-10)\/(-4)). Sort i, -3, x, q in decreasing order.\nAnswer: x, q, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4 + (3 + 1 - 5)*(8 - 5 - 5))*(-2 - 1 - 2)*(-4*r + 3*r + 2*r)*(2 - 3 - 4).\nAnswer: 75*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -1730*d + 1729*d + 22, 3*s = d + 58 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154819 is divided by 16575.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -276, -502, -674, -780, -808, -746, -582, -304?\n\"Answer: 2*j**3 + 15*j**2 - 285*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2)*1*1\/3. Suppose 4*j = 5*h - 8, m = -h - 5*j + 28 - 9. Solve 0 = -z + h - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 2*k - 2*k)*(7*k - 2*k + k).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7082261595 to the nearest integer?\nAnswer: 84156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 2, -2, 4114, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0 + 6. Suppose 2*c + 64 + 42 = 5*h, 0 = h + 5*c - 5. Suppose -3*k - m*k = -h. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68895149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -48941.69 to the nearest one hundred.\nAnswer: -48900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1447 + -1177. What is the smallest common multiple of 360 and z?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 2 + 2 - 0. Let o = 2 + u. Find the second derivative of 2*i**2 + o*i**2 - 2*i**2 - i wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 777 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -598829\/2696 + -171\/337. Let u = 222 + t. Calculate the common denominator of u and (1\/4)\/(28\/152).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddcv when four letters picked without replacement from vjcvdxzxd?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1553 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -156, -154, -152, -150?\n\"Answer: 2*z - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136257\/7 or 19465?\nAnswer: 19465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.86102 + 0.46102. Let u be (-2)\/(-1)*2\/24. Which is the smallest value? (a) u (b) -6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 26 + 11 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7)*1*-4 - sqrt(7) - sqrt(7)).\nAnswer: -6*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5187 by -3.\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 1 = 2*f, -495 = 4*f - a - 494 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**4\/24 - j**2. Let g = 4 + -4. Let b(z) = g - 1 + 1 - 2*z. What is b(r(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.4 times 0.2?\nAnswer: 25.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, s: 4, y: 3}. Give prob of picking 1 y and 1 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 15*u - 1. Give f(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1*m*m*m)**(-7\/6))**(4\/5) assuming m is positive.\nAnswer: m**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2095733 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 35 - 59 + 31 - 7*d. Let y(f) = -7*f + 7. Let s(b) = 2*w(b) - 3*y(b). Let x(v) = 4*v - 4. Give 3*s(j) - 5*x(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20*x + 709. Let t be h(-36). Let n(u) = u - 11. Determine n(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505995.4 years to decades.\nAnswer: 50599.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3955057 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 19. Suppose 40 = d*n - 72. Suppose 0 = 9*l - 5*l - n. Solve -5*p - l - 1 = 5*s, 4*p + 3*s + 8 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8601928ml?\nAnswer: 0.0008601928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 5 + -7 + 5545 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15326508*x**6 + 9626269*x**2.\nAnswer: -1839180960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 93*w**2 + 43*w - 6. List the prime factors of i(12).\nAnswer: 2, 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*4 + 0 - -2*(sqrt(288) + 1 - sqrt(288)).\nAnswer: 2 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (31 + -114 - -41)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 16*a + 35. Let i be l(-16). Let c = i - 28. Calculate the smallest common multiple of c and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91010 and 6080.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/15)\/((30\/200)\/(12\/(-16))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*m = 1341 - 241, -5*m = 2*v - 475. Let g be 300\/v*3\/2. Solve -g*u + 8 = -r, -5*u - 4*r + r + 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4704326 - 5?\nAnswer: 4704321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) 2 (b) -1 (c) -5\/6 (d) 122 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522*f - 16801 = 11387. Solve 0 = -22*y + 76 - f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*v - 41*v - 40*v - 35*v + 298*v**2 to r + k*v**2 + g*v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*b + 6, 0 = 3*b - 4*b - 4*o - 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 550794 + -550794.3999992. Let m = 0.2 + -0.6. Let z = c - m. Round z to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2317 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 18 - 11)*(0 + 5 - 3)*(-8 - 44*r**3 + 42*r**3 - 17 + (-5*r + 2*r + r)*(r**2 + 0*r + 0*r)).\nAnswer: 208*r**3 + 1300","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1605949 + -5\nAnswer: -1605954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - -10)*(-1 + -1)*-10. What is the greatest common factor of 635 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135293 is divided by 135289.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102664 is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87.84 * 3848.\nAnswer: 338008.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 4. Let s(q) = 2*q + 12. Let a(m) = -7*n(m) + 2*s(m). Let w be a(-5). Let f = w + 3. What is the greatest common factor of f and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 2409353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -7) + -6 + -9 - (44 + -12)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1190486156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10992404 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001515 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(20\/52)*(-156)\/((-4368)\/(-84)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9\/r**(-17)*(r**(-2\/15))**(-2\/35) assuming r is positive.\nAnswer: r**(13654\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 4*x**2 + 2*x**2)*(-6 + 4 + 0) + 60 - 11*x**2 - 60 + (-4*x + 2*x + 0*x)*(-5 + 0*x - x + 2).\nAnswer: -13*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/2*p**2 + 1\/4*p**4 + 6 + 0*p**3 - p. What is h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137259697 to the nearest integer?\nAnswer: 11716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8*y = -32. What is the least common multiple of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11)\/(-2) - -2)*(-642)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r**2 - 151*r + 7. Let s(i) = -9*i**2 - 152*i + 6. Calculate -6*c(t) + 7*s(t).\nAnswer: 3*t**2 - 158*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (113 - 115)*1\/2. Suppose -24 = 4*k + d, 3*d = -0*k + k + 19. Put 2, k, t in increasing order.\nAnswer: k, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2205)\/(-28)*752\/141. Which is smaller: 2525\/6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7.97. Let m = -4.97 - l. Let b = 0.2 - 0.1. What is the nearest to 1 in b, m, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 1263342?\nAnswer: 1263335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1411752 is divided by 32830.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 4*m - 78 = 5*v, 39 = -6*v + 3*m - 21 - 39 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.7 + -1.3. Let w = y + 17.1. Which is the closest to w? (a) -0.04 (b) 3\/2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(12\/(-1272)). Suppose r + 291 = 4*r. Solve k - k**3 + l*k**2 - k**4 - r*k**2 + 45*k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79469 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.042 in -0.4, -2\/11, -243?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 514061*-3\nAnswer: -1542183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - w + 0*w)*(1 + 0 - 2)*(8*w**2 + 9*w**2 - 3*w**2)*(-21 - 148 - 100)*(1 + 1 + 0) as x + z*w**3 + f*w**2 + h*w and give z.\nAnswer: -15064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 6) to base 4.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 322, 2 in decreasing order.\nAnswer: 322, 2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(12\/20)*2\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lggggkyrggllrrrrgkr. What is prob of sequence rkl?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -130*f**3\/3 - 5*f**2 - 336*f + 3469. Find the first derivative of a(x) wrt x.\nAnswer: -260*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*d + 104*d - 447 = 921 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 19*j + 3. Calculate the remainder when d(2) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from afaahaaszzzsaaaz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f + 1. Let n(a) = -5*a. Suppose -13 = -4*g - 41. Let w(j) = g*n(j) - 3*h(j). Determine w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6 + (-2894898)\/(-1080)*21. Let j = x + -56292. Calculate the common denominator of 139\/42 and j.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-36) + 7\/21 + 60\/48.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67.2 + -87.83. Let p = w - -21. Let c = p - -4.63. What is the second smallest value in c, -1, 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 2730*c - 777461.\nAnswer: -(c - 2407)*(c - 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -27. Suppose 1507 - 165 = j*l. What are the prime factors of l?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5756 - 880. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(5 + -58)*-2. Let k be 5\/(-25) - (-2 - f\/5). Solve x + k = 5*s, -2*s - 2*s + 19 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99, -87, -61, -15, 57, 161, 303, 489?\n\"Answer: v**3 + v**2 + 2*v - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832086 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - g = -113, -2*o - 5*g - 118 = -g. Does 10 divide (-1)\/(-2) + o\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rruuprauppaprpp. Give prob of sequence ra.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -8\/8421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236031 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1262809*o**2 - 2302*o - 450.\nAnswer: 2525618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 0 + -3)**2.\nAnswer: -48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2 - 6) + 1 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmum when four letters picked without replacement from ukymmmy?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97302544\/231 + 421222. Let a = k + 20\/21. What is the second smallest value in 1, -5\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1153.4 + 1153.3934068. What is g rounded to 5 decimal places?\nAnswer: -0.00659","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196779 is divided by 4097?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 0)*(-24*v + 41 - 41).\nAnswer: -144*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = -y - 5*l + 532, 4*l - 177 = -3*y. Calculate the remainder when 2745 is divided by y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(16\/(-10)) - (-2)\/2. Let j(u) = -u**2 + 0 + v - 4 + u - u**3. Suppose 0 = -4*l + p - 3, 0*l + 2*l = -5*p + 15. What is j(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.0294 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**8\/1848 + i**6\/330 - i**4\/132 - 10*i**2. Factor c(t).\nAnswer: -2*t*(t - 1)**2*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -991 + 994. Solve g - k*c = -2*g + 9, c - 1 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.629 + 0.509. Let t = b + -1.98. Round t to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -7.6. Let c = 0.1 - -0.2. What is the third smallest value in 2\/7, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 8 = -m - 4*w, -12 = -4*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 779853 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**4\/6 + 19*g**3\/3 - 26*g**2. Let o be t(8). Let r(q) = -q**2 + 9*q - 9. Determine r(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*p**4 + 58*m*p**2 - 2*m - 3*p - 15 wrt p.\nAnswer: 8*m*p**3 + 116*m*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11 - 11)\/(13\/(-1274)) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 34 + 67)*(44 - 44 - 22*m)*(2 - 4 + 4) to the form w + d*m and give d.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -15. Let f = -36.6 - -36.3. Which is the second biggest value? (a) f (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3, -1 = 2*h - j - 8. Solve -2 + 5 = -4*a - h*w, 4*a + 4 = -4*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00070236883 to seven dps.\nAnswer: 0.0007024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:35 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*u + 19688 = 787*u + 79918 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-297)\/66*(160\/(-3))\/1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9 + 27 = 0. Let n = -2387 + 9491\/4. What is the common denominator of n and ((-244)\/(-120))\/((-2)\/t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/3 + 103004*j**4\/3 + 102996*j**3 - 309016*j**2\/3 - 1132990*j\/3 - 205996 = 0.\nAnswer: -51499, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5 + -28?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 8*w - 8. What is z(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2*s**4 - 7 + (2*s**2 + 0*s**2 - 5*s**2)*(-4*s**2 + s**2 + 4*s**2) to t*s + j*s**2 + v*s**4 + d*s**3 + m and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 18 = -32 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(2\/(18\/((-9)\/3)))*(-51)\/(-153)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/63)\/(6\/4). Which is the third biggest value? (a) -2\/5 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-105) - (-8)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29600.000050316 + -29600. Round q to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 5*s + 2. Give x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16735635, -16735634, -16735633, -16735632, -16735631, -16735630?\nAnswer: -16735629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p - 4. Is p\/5 - (-935)\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 179*y**8\/168 - 169*y**4\/6 + 5*y**2 + 5*y. Find the second derivative of o(a) wrt a.\nAnswer: 7160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -2, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 + 23*k - 42. Determine c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17053 (base 14) to base 15\nAnswer: 12167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 24 = 9*k. Let b(p) = -7*p**2 - 7*p - 3. Let x(d) = -20*d**2 - 21*d - 9. Let y(n) = 17*b(n) - 6*x(n). Calculate y(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - k - 1745, 97*q - 96*q = 4*k + 567. What is the remainder when 587 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3131790 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + -2 + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1047 + -14?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, -5, -32, -1\/2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd + -401?\nAnswer: -4c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*o + 9 = o, -60 = -5*r + 5*o. Let g = r + -5. Suppose -2*y + 2 + g = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*c**4 + 4*c - 82.\nAnswer: 32*c**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253762, -507483, -761166, -1014811, -1268418, -1521987?\nAnswer: -1775518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 65, 146, 269, 440, 665, 950?\n\"Answer: x**3 + 12*x**2 + 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k - k + (-4*k + k + 2*k)*(-k - 1 + 1))*(-3 - 5 - 4).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 6*y + 6. Let i(b) = -20*b + 4*b + 3*b**2 + 7 - 2*b**2 + 9*b. Give 6*i(l) - 7*m(l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 9*q - 17. Let s be f(-4). List the prime factors of ((-11)\/s + 3)\/((-2)\/396).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s. Let z = 6 + -6. Let p be 1*4 + (2 - 0). Let t(o) = z*o + 3*o - p*o. Determine m(t(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*r = -117*r - 20. Suppose 3 = -2*t - 3*p + 29, 74 = r*t + 3*p. Calculate the remainder when 281 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825.531236 - 2?\nAnswer: 2823.531236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((112 + 27 + 29)*(10 - 10 - 3*a) - 2*a + 0*a + 0*a)*(-7 + 7 + a) as h + v*a + j*a**2 and give j.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 92 = -0*a. Suppose 8 - a = -5*b. Suppose 116 - 2 = 4*s + b*u, -88 = -3*s - u. Calculate the least common multiple of s and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171520877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let p(m) = -m**3 + 12*m**2 + 12*m + 15. Let h be p(13). Suppose -h*w - 10 = 0, -4*u + 12 + 38 = -2*w. What is a(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 23. What is the remainder when 27 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(175) + sqrt(175) + (sqrt(175) - (sqrt(175) + -1 + 2 + sqrt(175))))**2.\nAnswer: -20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*x - 0*x. Let j be (56 - -2)*5\/10. Suppose 9 = -5*m + j. Solve 4*u - 43 = 3*f - x, m*u = -4*f - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, -1, 17 in increasing order.\nAnswer: -194, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*d - 0*d + 2*u, 3*d = -2*u - 21. Let b = d + 3. Is 8 a factor of 1 + (-2)\/b + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1560 and 199760.\nAnswer: 7790640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855874?\nAnswer: 2, 19, 101, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p**5 + 10060*p**4 - 120636*p**3 + 389780*p**2 - 190192*p - 89040 = 0. Calculate p.\nAnswer: -371, -2\/7, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/304 and -7\/37?\nAnswer: 11248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414696547.\nAnswer: 317, 1308191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96148531*t**3 - 1964*t**2 + 3*t - 6326 wrt t.\nAnswer: 576891186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2, 0, 12, 3157 in ascending order.\nAnswer: -5, -4, -2, 0, 12, 3157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/51 + -124\/561. What is the nearest to t in 0, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.92 (b) -0.4 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42891*g**3*k**3 + 915*g**3*k + 3*g*k**3 + 21*g*k**2 - 244*g*k - 7*k**3 - k**2 + 5*k wrt g.\nAnswer: 257346*g*k**3 + 5490*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 5185.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 y when three letters picked without replacement from {k: 4, f: 1, g: 3, y: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0.22369\nAnswer: 5.22369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 4823\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c**2 - 5*c - 17*c**2 + 0*c + 4*c - c**3 to f*c**3 + h + a*c + j*c**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4*12\/(-8)*(45\/5)\/27*22\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11958506.1148 and 1.826?\nAnswer: 11958507.9408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-70)*(-10)\/(-4). Let a = k + 19\/350. Is -1 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 times 0.049?\nAnswer: 0.1421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4122.1 rounded to the nearest ten?\nAnswer: -4120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/3 + 10*r**2 + 55*r\/3 + 10.\nAnswer: 5*(r + 1)*(r + 2)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 551242 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axmxaaexiiaxaiea. Give prob of picking 1 m, 1 e, 1 x, and 1 a.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 124*y + 509. Let x be q(4). Solve 37*j = x*j + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.83*-0.3\nAnswer: -0.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -32783.73 to the nearest ten.\nAnswer: -32780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1128 + 1136. Let p(y) be the second derivative of 1\/12*y**4 + 0*y**3 - l*y + 0*y**2 + 0. Let d(b) = -2*b. What is d(p(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11489562 a multiple of 938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) 0 (b) -3\/4 (c) 678\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1249\/3 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -8035?\nAnswer: -8\/8035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-4 - 606\/(-30)) + 1\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968328657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 20*q**3 - 32*q**3 - 380*q + 0*q**2 + 53*q**3.\nAnswer: q**3 + 4*q**2 - 380*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 92. Let r = 31 - f. Put -1, 1, r in decreasing order.\nAnswer: 1, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 39 + (2 - (-3 - (2 + -6))) + -1\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - (-4 + (4 - -14) - 15) - -16?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7*h**3 - 3\/7*h**5 + 0 + 9\/7*h + 0*h**4 + 24\/7*h**2.\nAnswer: -3*h*(h - 3)*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7743, -7739, -7735, -7731?\nAnswer: -7727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 313\/5 + -63. Which is the closest to -2? (a) z (b) -2\/21 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*w + 3 + 2*w as q + y*w and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4718*q**4 + 7*q**2 - 2*q + 846423.\nAnswer: -18872*q**3 + 14*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1424, 3034, 4660, 6308, 7984, 9694?\n\"Answer: t**3 + 2*t**2 + 1597*t - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 346447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 + 332155\/25. Suppose u - 1430 = 3*l. Let k = -1748 - l. What is k rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-9)*-1)\/(20\/15). Suppose r + 5*d + 18 = 5*r, r + 8 = -5*d. Suppose -3*u = 2*u - 20. Sort u, p, r in ascending order.\nAnswer: p, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2340 + 4218. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 11:59 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0, 9.95?\nAnswer: 9.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 1, r: 1, m: 1, s: 1}. What is prob of sequence pm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -309, 2\/7, -0.4?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*v**3 + 16568*v**2 + 575*v + 103667122.\nAnswer: -18*v**2 + 33136*v + 575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 10*r - 888. Let s = -151 + r. Let j(m) = 2*m - 1. Give j(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.3, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (-8 - -16))\/((-20)\/360*-10)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:14 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4, 2*f - n - 3*n = 64. Calculate the least common multiple of 66 and f.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576170+-45302\nAnswer: 530868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9173 - -27521\/3. What is the closest to 6 in 1\/4, n, 14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -152, -123, -94?\n\"Answer: 29*s - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6818d (base 16) in base 13?\nAnswer: 11c0c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02677512453 rounded to five dps?\nAnswer: 0.02678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -9813908.\nAnswer: -8\/2453477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 12. Let m(o) be the second derivative of 0*o**4 + 0 + 1\/75*o**6 - 1\/50*o**d + 2*o + 0*o**3 + 0*o**2. Let m(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4636.469ml?\nAnswer: 4.636469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.58 + -0.58. Let m = 0.56 - -0.04. Let x = -0.3 + m. Which is the third biggest value? (a) x (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/4 - 7\/28. Let s be (0 - 1)\/((-2)\/d). Let z be ((-1)\/(-2))\/(s\/8). Sort 4, z, 1 in descending order.\nAnswer: 4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2691, 21205, 71201, 168339, 328279?\nAnswer: 566681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**4\/6 - 3*j**3\/2 - 5*j**2 + 6*j. Calculate the remainder when 49 is divided by v(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 287, 425, 565, 707, 851?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34878*-0.12.\nAnswer: -4185.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 51*j**3 + 12*j**2 + 40*j - 507. Is t(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 6*b**2 + 4*b - 11. Let p be w(-7). Solve 0 = 2*c + 3*j + p, -2*j = -c - 2 - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0 + (3 - 2 + 0)*(-112 - 79 + 243))*(-5*i**3 - i**3 + 3*i**3) as q*i + j*i**2 + v + m*i**3 and give m.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -9304836 + 2943379. Suppose 2*o - x = 9674299. Suppose 2017878 = 6*h + o. What is h rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*l + 28 = 2*w, 4*w - 27 = 3*l. Suppose 5*t - 10 = -w*v - 54, -t = -2. Let i = 0 - v. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*u + 12583, 0 = 3*d - 5*u - 0*u - 12623. Suppose -4*w + 3*w - 5*y = -1407, -d = -3*w - 5*y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 57\/42)\/((-1452)\/(-1694)). What is the biggest value in s, 1\/6, 5, -239?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 76\/5 of a centimeter?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*z + 88 = 51*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*x**2 - 49164*x + 4916.\nAnswer: 4*(x - 1229)*(10*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.8 + 12. Let t = 0.22 - v. Let i = t + 0.075. What is i rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 4\/3, 2\/9, -1, -4\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71 in 8, -3, -10942?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -4*k + 6*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g. Differentiate 1 + 5 + g - 3 + 2*f**2 wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/990504 and -145\/72?\nAnswer: 990504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3355 = -5*i + 2*m, -3*m = -i - 0*i + 671. Round i to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-16)*16\/(-3). Suppose -2*a = -6*a + r. Let k(b) = b**3 + 15*b**2 - 15*b + 16. Let y be k(-16). Solve y = -5*p - l + a, 0*p = p - 5*l + 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/738 and (-8570)\/1044 - (-50)\/(-725).\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 - (220 - (136 - 55)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 488494810 rounded to the nearest one million?\nAnswer: 488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 27 = 3*u + 17, -2*u = -4*c - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15\/97 + -269\/485. Which is the closest to -0.1? (a) -4 (b) n (c) -45 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 12) to base 8\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**3 + 81*o**2 - 249*o - 144.\nAnswer: 3*(o - 3)*(o + 16)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-9\/5))\/(j\/(j**(-4\/9)*j)))\/((j*j**23)\/j*j**(-12)) assuming j is positive.\nAnswer: j**(-389\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 1. Let o be h(-2). Suppose o = 4*y - 47. Calculate the remainder when y is divided by 3 + (-20)\/(-8)*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -2.3. Let x = -7206 + 7211. Which is the closest to q? (a) x (b) 3\/8 (c) -4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(10\/7))\/y*y*y**(-27)*(y*y**(-3\/16)*y*y)\/(y\/(y\/y**(-10\/7))))**(-15) assuming y is positive.\nAnswer: y**(5565\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3330, -1088, 2648, 7878, 14602, 22820?\nAnswer: 32532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**5\/20 + v**4\/2 + 4*v**3\/3 - v**2 - 7*v. Suppose 721 = -1996*q + 2099*q. What is y(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-136)\/(-30)) + 4\/10.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*k - 7, 29 = -3*f - 4*k. Let t be (-2 + -1)*3\/f. Solve -5*p - 8 = -4*a + 5, -2*p = t*a - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*v - 4*o + 6, 0 = -4*v - 5*o + 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1110011 (base 2) to base 3\nAnswer: -11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -586 - -5464. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -29*u + 55. Let v(d) = 10*d - 17. Let l(c) = -4*s(c) - 13*v(c). Let h(z) = z**2 - 6. Let k(p) = 1. Let x(w) = -h(w) - 6*k(w). Determine l(x(o)).\nAnswer: 14*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/51871 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 12:40 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 13*j + 24. Calculate g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.19, 40, 5, -0.09, 0.27, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 5*i - 18. Let h(q) = -q**2 + 2*q - 9. Let t(a) = -5*h(a) + 2*z(a). Let u(y) be the first derivative of t(y). Let s(c) = 2*c. Give s(u(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 13*p**2. Let t be i(13). Which is bigger: -1\/5372 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 31*k**2 - 61*k - 103. What is t(-29)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*w + 25. Calculate the least common multiple of w and 188.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (615\/(-1435))\/(12\/(-70))*((-664)\/10)\/(-2)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djfjj. What is prob of picking 2 j and 1 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14 - 5 - 1065\/(-60). What is the second smallest value in 4, b, -7\/2, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + r - r)*(-297*r**3 + 38*r**3 + 959*r**3) + 3*r**4 + 3*r**4 - 4*r**4 to the form m*r**4 + y + c*r**3 + x*r**2 + z*r and give m.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - a + 135 = 0, 6*a = 2*m + a - 81. Suppose -v + 4 = -3. What is the greatest common factor of v and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*z - 572069 + 146329. List the prime factors of z.\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000603364701 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -213477?\nAnswer: -1494339","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w - 9. Let t(d) = -9*d + 1. Give t(c(g)).\nAnswer: -189*g + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/630)\/(1\/7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -97 - 6*y + 24 + 2*y + 74. Let b(o) = 33*o**2 - 1. What is b(r(t))?\nAnswer: 528*t**2 - 264*t + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122.23 + -128.8. Let h = 6.87 + g. Sort -5\/6, h, 0.1, 1.\nAnswer: -5\/6, 0.1, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/60 - 5*u**4\/12 - u**3\/6 + 4*u**2. Calculate the remainder when 27 is divided by t(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose 0*l - r = l. Let s be (l\/(-5))\/((-2)\/(-1700000)). What is s rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwgm when four letters picked without replacement from {m: 1, g: 2, w: 7}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 943289 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*p**2 + 104*c**2*z - 2*c**2 + 2422*p**2*z - 3610406*p**2 with respect to z.\nAnswer: 104*c**2 + 2422*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 + 14586\/195. Let x = 131 - c. Calculate the highest common factor of 140 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-20)\/(c\/(c*c*c*c*c**(-7\/5)*c))*c**(-1)\/c*c**(-1\/24) assuming c is positive.\nAnswer: c**(-2333\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*1\/(2\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 92 - 102 = -s, 2*s + 4*z + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.1, 160, 39585, 5 in ascending order.\nAnswer: -0.1, 1\/4, 5, 160, 39585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 527141272 to the power of 1\/3, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2056738310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*k**2*q**4 - 249*k**2*q + 2*k*q**4 wrt q.\nAnswer: 648*k**2*q**2 + 24*k*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.76747l to millilitres.\nAnswer: 76767.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/64)\/((-12)\/24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 19*y + 36 = 0. Calculate the highest common factor of y and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a + 39?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = -12*j + 120*j + 30*j. What is o in 128\/3*o - 512\/3 + 184\/3*o**2 - 28\/3*o**3 - 14\/3*o**j - 1\/3*o**5 = 0?\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -79. What is the closest to 3\/8 in 4\/7, j, 2\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 16*w**2 + 35*w - 52. Let k be s(-19). Let z = k - -169. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*33222\/18 - (-3)\/3. Suppose 5*b + 2*g - 4154 = 2*b, -n = -4*b - 3*g. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**2 - 151*y**6 - 47*y**6 - 88*y**2 + 13*y**6 - 9*y**2 wrt y?\nAnswer: -22200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h + 5*b - 13, 2*h + b = 1. Let v(z) = -z**2 + 63*z - 286. Let x be v(5). Let m = -7 + 9. Sort x, h, m, 3.\nAnswer: h, m, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413424 divided by 891.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 1. Let s = 11 - 15. What is the units digit of v(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*t - 168 = 711*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1793 (b) 5 (c) 10 (d) -0.13 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*w - 33 = 0, 0 = 6*w - 3*w - 9. Suppose j*a = 98 + 22. What is the highest common factor of 130 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-12)\/9 - -2). Let w be (-3)\/(-3)*-3 - v. Is -2\/3 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymfly. What is prob of sequence yly?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108887313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + 5 + -5.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-33) + (0 - (-7)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258847477, 517694955, 776542433, 1035389911?\nAnswer: 1294237389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/13 - -1\/26. Let i = 0.087 - 0.042. Let s = i - 0.045. Which is the closest to s? (a) o (b) -15\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150763096 + 9.\nAnswer: 150763105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -0*x. Let b(n) = 28*n + 586. What is the remainder when b(-19) is divided by 0 + 16 - x\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 427c0 - 32?\nAnswer: 4278b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1524.8 - 1629.17. Let s = a - -105. Let n = s - 0.62973. Round n to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 309770541 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 579754*j**3*m**3 - 478634*j**3*m**2 - j*m**2 wrt m.\nAnswer: 3478524*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -57, 5\/4, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111351 and 10.\nAnswer: 1113510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 210, 428, 646?\n\"Answer: 218*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19276*a - 19345*a = 2001 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.61 + 0.39. Sort -0.4, m, -1\/6, 2\/25.\nAnswer: -0.4, -1\/6, 2\/25, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -485 + 756. Let l = j + -156. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 303 - 176. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -2*y**3\/3 + 1. Let b(p) be the second derivative of -1\/3*p**3 + 0*p**2 + 0 - p. What is b(i(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4*(-3)\/(24\/(-74)))\/(-2) and 2\/(-24)*14*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1522*v**2 + 17837 wrt v?\nAnswer: -3044*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 328*t**2 + 10*t**2 + 76*t**2 + (2*t - 5*t + t)*(-3*t - 5 + 5).\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7764*c**2 + 4 + 3461*c**2.\nAnswer: 11225*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9928528 or -9928530?\nAnswer: -9928528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*n - 125 + 30 - 11 = 72 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*k - u + 35, -3*k + 5*u + 71 = 0. Suppose -k*g + 15*g = -1408. Does 44 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z - 3*z)*(-3 + 2 - 1) + (-165 + 165 + 7*z)*(15 - 20 + 188) + 0*z + z + 0*z.\nAnswer: 1284*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33850.\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 54*d + 2*d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -456*a**4 + a**3 - 86*a + 7 wrt a?\nAnswer: -5472*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 15*z**2 + 1. Calculate q(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 1:35 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + y)*(3*y - 4*y + 0*y) - 2*y**2 + 0 + 0 + (-3*y + 6*y - 4*y)*(3 - y - 3) + 0*y**2 - 3*y**2 + y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59877?\nAnswer: 3, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*a - 732942 = 0, 2*a = 147*w - 144*w - 549709. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -527 + -282?\nAnswer: -7a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -7*a - 3*r - 66, -4*a + 2*r = -26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, -4 in ascending order.\nAnswer: -4, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -6 - -3 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 232732*a + 6*a**2 - 232323*a - 3*a**2 as n*a + i + y*a**2 and give n.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -q - 4*p, q - 3*p = -21. Let f be (8\/q)\/((-1)\/6). Solve 0 = t - 2*t + 2*g + 8, 5*t + f*g = 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -33.55, 0.3, -108?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -947 equal to -992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 131.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k + 10 + 6*k - k**2 + 7*k - k. What are the prime factors of v(12)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -32.077. What is y rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -252, -5\/6, 5.\nAnswer: -252, -5\/6, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*n + 38. Suppose -n*o - o + 30 = 0. Let r(j) = -j + 14. Let z be r(o). Solve -z*l = -10 - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-24)*h**3\/h*h)\/(h*h**(-10\/9)*h**(-14)) assuming h is positive.\nAnswer: h**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**2 - 3*c - 10. Let h(q) = 7*q**2 - 4*q - 13. What is 2*h(y) - 3*m(y)?\nAnswer: -7*y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10 - 1\/(-10). Which is the nearest to -1? (a) -3\/2 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 + 106 + 12914*d - 25 + 1481*d - 21 in the form b*d + i and give b.\nAnswer: 14395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 154\/3*r**3 - 1\/3*r**5 + 196\/3*r**2 - 40*r + 9*r**4 - 256\/3.\nAnswer: -(r - 32)*(r - 1)*(r + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 7 = -7*x + 5*o, 0 = -4*x + 5*o + 1. Let q = x + 11. Suppose q*b - b = 2160000. What is b rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12.64 and 781?\nAnswer: 768.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1235391.81 to the nearest 1000.\nAnswer: 1235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9826282979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 2. What is the first derivative of -32 - 40*f**4 - 60*f**c + 60*f**2 wrt f?\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 159097 from -0.1.\nAnswer: -159097.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -94, -455, 1, 0.021?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426245?\nAnswer: 5, 163, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:39 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449.278 - -0.03016.\nAnswer: -449.24784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3284\/13519 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:14 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143.422 + -1.578. Which is the third smallest value? (a) 24 (b) -3\/8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 35 = -2*r. Suppose r*a = 4*a + 4. Solve 1 - 2 = -3*d + 4*b, -a*b = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**3 - 4099*q + 4*q**3 - 4*q**2 + 818 + 31*q**2 + 4099*q wrt q?\nAnswer: 15*q**2 + 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(3*y - 5*y - y) + 58*y + 34*y + 146*y + 3*y - 7*y + 2*y.\nAnswer: 230*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 447968463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, f: 3, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = -15. Let j be 1\/2 + (-14)\/(-4). Suppose p*a + 124 = 3*v, j*a = -v + a + 32. What is the remainder when v is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a - 1 - 3*a - 10*a - 9*a. What is the hundreds digit of c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 3806 = 2674. Let h = 297 - q. List the prime factors of h.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/25 (b) -1 (c) 34975 (d) -2 (e) -0.7 (f) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 324 + -3c8c?\nAnswer: -3968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 1, -9, 168, -4, -5, -2 in descending order.\nAnswer: 168, 86, 1, -2, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -28*u**2 - 28*u - 8. Let k(n) = -13*n**2 - 14*n - 4. Let c(w) = -13*k(w) + 6*v(w). Give c(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23653, -23768, -23883, -23998, -24113, -24228?\nAnswer: -24343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25007, 50012, 75017, 100022?\nAnswer: 125027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145364 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -6*b - 26, -4*f + 3*b = 1513 - 1536 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/7*1\/6 + 35\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 9*a - 33*a + 156. Suppose -11 = -0*x - 2*x + t, -x - 2*t - 7 = 0. Calculate the remainder when a is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 18812*c**3 + 29503476*c**2 + 15449936788*c + 30782010104.\nAnswer: 4*(c + 2)*(c + 1567)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -223*z - 9. Let s be t(-3). Suppose 4*m = -2*a + 648, -4*m + a = -0*a - s. Suppose m + 68 = 4*r. Does 29 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (48*w**2 + 0*w**2 + 4*w**2)*(w - 5 + 5)*(-23 - 7 - 6) as r*w + i + s*w**2 + j*w**3 and give j.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - j = -9, 4*l = -4*j + 17 + 11. What are the prime factors of 30433\/78 + l\/(-12)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75.7 + -74.879. Let s = p - 0.71. Let j = s - 0.111239. Round j to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 + 10*l + 11. Let d = 19 + -18. Let r be ((-5)\/5)\/(d\/(-2)). Let z(q) = -q**2 - 2*q - 2. What is r*w(f) + 11*z(f)?\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 23 = -3*h, 0 = i + h + 4*h - 29. Solve -3*l - 2 = 2*d, -5*d + 2 = 4*l + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/68)\/((-28)\/1232)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091243 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:27 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.04 + 3645?\nAnswer: 3639.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2474*u**3 + 613*u**3 + 616*u**3 + 624*u**3 + 618*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 12. Suppose 9 = 2*g - 3. Let c be (1*-3)\/(-3) - g. Let z(f) = 2*f - 6. Let s(u) = c*z(u) + 3*n(u). Let o(r) = -1. Determine -5*o(t) + s(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d**3 + 6*d**2 + 6*d + d - 9*d**3 - 1 + 0*d. Let q be a(-4). Put -7, -3, q in ascending order.\nAnswer: -7, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*m + 442 = 51*m - 56*m - 5354 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*b + 6*b + 126. Let a = 850 + -846. Solve p = 2, a*n + n - p = b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 614*x**2 - 48622*x - 228010.\nAnswer: -2*(x + 5)*(x + 151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3119 - -0.1881. Which is the second smallest value? (a) 44 (b) l (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485, -519, -613, -797, -1101?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-50)\/20*428\/(-10)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 39.071. Is h != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b. Let f(y) be the first derivative of 5*y**3\/6 - 2*y - 24. Let o(g) be the first derivative of f(g). What is o(p(v))?\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138002 and 11.\nAnswer: 1518022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1091.8 + 1092. Let n = -859707.2000002 + 859707. Let j = n + l. What is j rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4293, -4133, -3973, -3813, -3653, -3493?\n\"Answer: 160*a - 4453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*z**2 + 7860595*z + 5240390.\nAnswer: 5*(z + 524039)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than -32\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3120\/(-525) + 20 - 14\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/20 - f**4\/6 - 58*f**3\/3 - 9*f**2 - 4. What is the derivative of g(t) wrt t?\nAnswer: -6*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/20))\/v**(1\/3) assuming v is positive.\nAnswer: v**(49\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3755 is divided by 1724.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 95, 188, 279, 368?\n\"Answer: -a**2 + 96*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201562213.\nAnswer: 107, 1883759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5 in descending order.\nAnswer: 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23 - -3 - -20)*3\/9. Let o(i) be the third derivative of m*i**3 + 0*i + 0 + 17\/12*i**4 + 32*i**2. Let k(v) = v**2. Determine o(k(x)).\nAnswer: 34*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 46564927 * -2\nAnswer: -93129854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 1\/4 (c) 0.4 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - z**2 - z. Let c(g) = -2*g**2 - 7 + 5 - g**2 + 4*g + g**3. Let d be c(2). Calculate o(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 25*v**2 + 70*v + 77. Give t(-21).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.11 and 0.018449.\nAnswer: -0.091551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/5)\/((-21)\/70). Let y(x) = -x**2 + 12*x + 1. Let m be y(a). Let t(n) = -9*n**3 - n. What is t(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/17, 49, -0.02, 0.01, -3.\nAnswer: -5, -3, -3\/17, -0.02, 0.01, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1 (c) -0.2 (d) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 40*z + 42. Let s(n) = n**3 - 11*n + 11. Let t be s(3). What is the units digit of u(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 8 + 11\/7*f**7 + 0*f**4 + 0*f**6 + 0*f + 0*f**2 + 10\/3*f**3 + 0*f**5. What is the third derivative of s(x) wrt x?\nAnswer: 1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 4 = 2*d. Let c(o) = -14*o + 1. Let j be c(d). What is the units digit of j\/(-21) + 4\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 0*w - 3*w)*((-1 - 4 + 3)*(5*w**2 + 0*w**2 - 3*w**2) + 6 - 6 + 5*w**2) in the form r + c*w**2 + l*w**3 + p*w and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48505753 to the nearest integer?\nAnswer: 6965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 20\/(-5) + (44 - 0). Factor 86*x**2 + 19*x**2 + 4*x**4 + x**3 + 147*x - v*x**3 - x**4.\nAnswer: 3*x*(x - 7)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -266*v**3 + 2*v**2 - v. Is x(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*p + 269 = 0, 3*c = 3*p - p + 431. Calculate the common denominator of c\/(-18)*15\/42 and 57\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29661*k**3*m**2 + 51*k**3 + 524 wrt m?\nAnswer: -59322*k**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/165 and 22\/129135.\nAnswer: 1420485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -3 (c) -1\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/4)\/(0 - 1). Let r = 2 - j. What is the units digit of r + -2 + 1 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(117))**2 - (sqrt(208)*1)**2.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 4*g**2 - 3*g + 1. Let a = -5 - 1. Let o be (3\/a)\/(1\/(-4)). List the prime factors of r(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-7)))**(13\/3)*(d\/(d**(-32)\/d)*d)\/(d\/(d**(6\/29)\/d*d)) assuming d is positive.\nAnswer: d**(5615\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((10 - -17) + -19).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = -17*n + 43*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 11*q + 5. Suppose 5*b - 52 = -17. Suppose y + 0*y = -b. Let t(h) = -2*h**2 + 6*h - 3. Give y*t(p) - 4*l(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 + 329\nAnswer: 329.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6909300 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/40*704\/(-264)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 1\/3*p**3 + 17\/6*p**6 - 1\/5*p**5 + 0*p**4 + 92 + 0*p**2 + 5*p. Find the third derivative of w(d) wrt d.\nAnswer: 1020*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1692 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/75200 + 99827\/617316800. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3831747?\nAnswer: 3, 1277249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2*j*j*j**(-1\/8))\/(((j**(1\/3)\/j*j*j*j)\/j)\/j)**48 assuming j is positive.\nAnswer: j**(-89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -67, -74, -83, -94, -107, -122?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23095183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11235628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -115614306 to the nearest one thousand.\nAnswer: -115614000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*h + 2*a, 5 = -h + 3*a + 2. Solve 0 = 4*l + 5*s - h - 5, 0 = -3*l + 3*s - 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5058, 10140, 15222, 20304, 25386, 30468?\nAnswer: 35550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 10*g**2 + 21*g + 34. Let y be b(-10). Let o = -171 - y. Let n = 12 - 7. What is the highest common divisor of o and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 + 398 = 30*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1435896681 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 84*a**3 - 16*a**2 + 32*a + 120. Let b(k) = -28*k**3 + 6*k**2 - 10*k - 39. Let z(t) = -8*b(t) - 3*r(t). Find the first derivative of z(u) wrt u.\nAnswer: -84*u**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*w + 145, w + 46 = 2*u + 7. Is -47 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - z**2 - 11*z + 3. Calculate the lowest common multiple of j(5) and 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 103*m - 731. What is b(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 31, 44?\n\"Answer: 13*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221001021 - -100022?\nAnswer: 10221101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 + 334 = 7*s. Suppose -4*f - s = -q, q + 357 = 4*q + 3*f. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in microseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461877483?\nAnswer: 3, 153959161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(2736)*-4 + 5 + (-4*sqrt(2736) - sqrt(2736) - sqrt(2736))) + 5.\nAnswer: -600*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1441472675.\nAnswer: 5, 23, 2506909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 76 + 60 + 11 - 1288*i - 1574*i.\nAnswer: -2862*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u - 2*u)*(0*u + 5*u - 3*u) + (-2*u + 0*u + 0*u)*(0 - u + 0) + 4*u - 4*u + 3*u**2 + 0*u + 2*u**2 + 0*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 470.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 15*g - 92. Let w = 43 - g. Calculate the remainder when 78 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314*t**2 - 56*t + 24*t + 32*t to i*t**2 + p*t + q and give i.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-396)\/(-48))\/((-6)\/8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 4. Let k be (0 - -3) + -6 - r. Suppose 3*u + 5*q = 2*u + 141, k*q - 137 = -u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + z = -0*z - 14, 0*l + 2*l - 4*z + 10 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 69760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (1 - (-4 - -2)). Let o(d) = -2*d**3 - d**2 + 3*d - 3. Calculate o(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 2*t - 2. Let s(c) = -c**3 + 7*c**2 + 8*c + 2. Let o be s(8). Let k(q) = -q**3 - q**2 - q + 1. Give o*k(p) + m(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404008\/1205 <= 1165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1620 by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**5\/65 + 57*c**4\/13 - 2088*c**3\/13 - 6728*c**2\/13 - 880. Solve p(v) = 0.\nAnswer: -2, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (735\/980)\/(819\/(-24))*-3*7*-2.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-555)\/210 - (-2)\/((-12)\/(-15)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36\/7*h**5 + 0 - 60\/7*h**4 - 4*h**3 + 0*h - 4\/7*h**2 = 0. Calculate h.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.016 (b) 1\/2 (c) -1 (d) 590\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3316\/7, -4, 1\/3, -2.2, 1.8 in descending order.\nAnswer: 3316\/7, 1.8, 1\/3, -1, -2.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16)\/g)**(2\/91)*(g\/(g**(-3\/5)*g))\/g*g**(-9\/11) assuming g is positive.\nAnswer: g**(-7967\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8 - 0 - (-529)\/(-92)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333255639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:21 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 23. Let d(x) be the second derivative of x**5\/20 - x**4\/3 + x**3\/3 - 2*x**2 - 38*x. Let k be d(p). Solve -s = k*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 48. Calculate the lowest common multiple of 10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 + 1 = x, -4*t = 3*x - 5. Is 3 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(4 + 9 - 4)*(0*o + 0*o + 2*o).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 128358\/19?\nAnswer: 128358\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 7:16 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(3*p - 3*p - p)*(2 - 2 + 1)*(15 + 3*p - 10 - 3).\nAnswer: 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhd when three letters picked without replacement from {h: 3, d: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*b = -3, -b - 2*b - 1 = -v. Let x(u) = 3*u - 4*u + v - 4. Let h(t) = -t**3 - 5*t**2 - 4*t + 3. Let i be h(-4). What is x(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 44*o + 220. Let k be n(-5). Solve 5*q + 2*b + 10 = k, 0 = 2*q - 0*q + 3*b - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 + 11?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 20. Suppose -7*y = -9 - g. Suppose 2*i + 4*k - 122 = 0, -k = y*i + k - 262. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1232*g - 2439 - 2865 = -1310*g for g.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279862190?\nAnswer: 2, 5, 27986219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 340*a**2 + 51. Let q(u) = 2*u. Calculate r(q(l)).\nAnswer: 1360*l**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o**5 - 492747*o**4 + 21289485*o**3 - 25595595*o**2 - 10706337*o + 15505182 = 0. Calculate o.\nAnswer: -3\/4, 1, 42, 41019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 7*v - 168 = 0. Let x be (-295)\/(-2) - 12\/v. Calculate the greatest common divisor of 63 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5*k = 14, -2*q + k = -6*q + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1328 - -1327.8787. Let q = t + 0.13. Round q to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1090 - -0.528.\nAnswer: -1089.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2931, -4 in increasing order.\nAnswer: -2931, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (3 + 1*(sqrt(68) + 4))*-2 + -2) + 1)**2.\nAnswer: 2464*sqrt(17) + 10281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 4*t**2 - 2*t - 5. What is q(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2083\/1022 + -8\/73. What is the common denominator of c and 2\/3 - 18\/16?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 12 = -2*b, -5*y - 7 = 3*b. Let k(m) = m**2 - 6*m + 3. Let u be k(4). Let d(n) = -n**3 - 4*n**2 + 5*n + 1. Let s be d(u). Is y >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 51\/10. Which is the third biggest value? (a) 2 (b) m (c) 2\/9 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.08 * 0.7.\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 2\/315*b**7 - 180*b**2 - 7\/18*b**4 + 0 + 1\/5*b**5 - 20\/9*b**3 + 7\/90*b**6 + 0*b. Suppose c(p) = 0. What is p?\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 174*h + 3100. Give o(-18).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17816, 35462, 53108, 70754, 88400?\nAnswer: 106046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/10*130\/91\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g + 9. Let d(w) = g + 3*w + 5*w - 1. What is the tens digit of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 8732.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -6*n + 3*n + 10, 4*n = -2*h + 12. Suppose -2*b = 34*o - 37*o + 740, -724 = -3*o - h*b. Calculate the highest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*g + 79 + 41, 0 = -t + 3*g + 62. Suppose 28*h - t = 42*h. Which is the closest to 2\/5? (a) -1 (b) -6 (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = x + 3*n, -x - 5*n - 11 = -0. Let a be 14\/6 - 3\/x. Find the third derivative of 0*g**6 - 3*g**6 + 3*g**a + 6*g**6 wrt g.\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 72011150?\nAnswer: -72011161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.51.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -8, 45, 98?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*v - 10390*v**3 + 0 + 2*v**4 - 31*v**2 - 1 + 4*v + 10388*v**3 as u*v**2 + p + r*v**4 + j*v + b*v**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 411908161*p**6 - 1025197*p**2 - 3*p + 56 wrt p?\nAnswer: 49428979320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 14. Let j be n*2*1\/((-10)\/(-25)). Which is bigger: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7*l + 2. Let b be d(-6). Let s(m) = -7 + 2*m**3 - 29*m**2 - 3*m**2 + 39*m**2. Let i(n) = -n**3 - 4*n**2 + 4. Determine b*s(o) - 7*i(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*j**2 - 71366*j + 657736 wrt j?\nAnswer: 10*j - 71366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.297, 5, 8, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 14*k**3\/3 + 9*k**2\/2 - 20. Find the second derivative of w(b) wrt b.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.373 and 101?\nAnswer: 4380.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -23, -36 in descending order.\nAnswer: 5, -3, -23, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 0 = -0. Suppose f = -11*c + 19*c - 3080. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 + 33*j + 3. Calculate b(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2895220220+13839\nAnswer: -2895206381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3 + 72119*a**2 + 1300467819*a + 6500536245 = 0.\nAnswer: -36057, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Suppose 4*c = -0*y + 2*y, 0 = y + m*c. Solve y*r = -2*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(28\/(-8) - -4)\/(-5). Sort 0.2, 5, l.\nAnswer: l, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30892 by -15446.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**4 - 3*h**4 - 3*h**4)*(-3 - 1 + 3) + 2382*h - h**4 + 2363*h - 4661*h in the form i*h + f*h**4 + p + n*h**3 + v*h**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2081*g - 710*g - 454*g - 438*g - 463*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 3. Let w(u) = 6*u**2 - 22*u + 12. Let n(q) = 2*g(q) - w(q). Calculate n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l. Let r(f) = 3*f - 2. What is a(r(w))?\nAnswer: -15*w + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5.2 (b) -32 (c) -7\/9 (d) -1\/3 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*p = -13 + 13 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 527282.5kg?\nAnswer: 527282500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 1, k: 5, h: 2, r: 1, j: 4}. What is prob of sequence rvkh?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 12*q**4 - 1191*q**3 - 27438*q**2 - 92385*q + 160650 = 0.\nAnswer: -15, -6, 5\/4, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43245 (base 6) to base 13.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5254 times -5?\nAnswer: -26270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432988, -865987, -1298998, -1732021, -2165056?\nAnswer: -2598103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 7*n - n - 5*n to s + j*n**2 + t*n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6390 is divided by 404.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 30. What is the remainder when 119 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20282 - 20312. Let y = 9 + -9.1. What is the closest to y in -0.4, k, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214 + 220. What is the least common multiple of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -685, -205, 595, 1715?\n\"Answer: 160*i**2 - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + q - 1. Let c be h(-2). Suppose 0 = 4*g + 1 - 13. Suppose c*j - 4*j = 10, j - 50 = -g*b. Calculate the smallest common multiple of 2 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -258, 9443, 11 in increasing order.\nAnswer: -258, 5, 11, 9443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 23159 - 2*g**2 + 23159.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101350, -405380, -912096, -1621498, -2533586, -3648360?\nAnswer: -4965820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*v + 16*v = -12*v. Solve -19 = -n + 4*z - 0, -4*z - 16 = v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d**3 - 5*d**2 + 5*d + 7. Let o(s) = 7*s**3 + 4*s**2 - 4*s - 6. Let f(g) = 5*l(g) + 6*o(g). What is f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2196 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 11 = -q, -3*q = -3*d + q + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2130 is divided by 710.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 88 = -27*i + 31*i, -4*i - 48 = 4*j. Let p(b) = 6*b**3 + 14*b**2 - 17*b + 14. Let o(h) = -2*h**3 - 5*h**2 + 6*h - 5. Determine i*o(z) - 6*p(z).\nAnswer: -2*z**3 + z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/618 and 832\/(-60) + (23 - 5)?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.78 + -397.2556?\nAnswer: -439.0356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p - 4*p**3 - 13 + 16*p - 15*p**2 + 9*p**3 + 8*p. Let l(z) = 16*z**3 - 46*z**2 + 62*z - 38. Let y(h) = 10*a(h) - 3*l(h). Find x such that y(x) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -230136 and -3383.\nAnswer: -233519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5477 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000065 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468918701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(4*f - 5*f + 0*f)*(-7*f**3 + 7*f**3 + 8*f**3).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.1 less than -10?\nAnswer: -69.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1089, -0.5, -5\/3, -1, 3, 5 in descending order.\nAnswer: 5, 3, -0.5, -1, -5\/3, -1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 0.1. Suppose 8*y = 6*y + 10. Suppose o = -0*o - y. Which is the third smallest value? (a) s (b) o (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 16*r**2. Let g(i) be the second derivative of 7*i**4\/12 - 16*i + 2. Determine g(n(k)).\nAnswer: 1792*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 18. Solve b + t*m = 3*b - 16, 0 = -4*b + m - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.1 (c) -20 (d) 2418 (e) 1\/8 (f) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -538?\nAnswer: 18\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (-1*sqrt(28))**2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 3*v - 24, -6*l + 5*l - 3*v = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 447 = -8*s. Let q = -395 + 111. Let j = s - q. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 7*w**2 - 11*w - 17. Let r be g(5). Suppose r*j - 351*j = 38. What is the smallest common multiple of 3 and j?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**4\/24 - 5*o**3\/6 - 4*o**2. Let v be j(-4). Let m = 2 - v. Solve 0 = -m*z + 4*y - 10, -y = -4*z + 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7226\/9429 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-200)\/32)\/(-3 - (-69)\/24). What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6919, 6937, 6967, 7009, 7063, 7129, 7207?\n\"Answer: 6*p**2 + 6913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 397*-3\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-121)\/(-11))\/11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -1081*p**5\/12 + 11*p**4\/12 - p**3\/6 + 78*p**2. Let z be k(-7). What is z rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -219853*h**4 + 254077 wrt h.\nAnswer: -879412*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-1)\/((-3)\/66))*-2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.19 - 42. Let s = 0.11 + h. Sort 5, 1, s in ascending order.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1\/4, 8, 3, 0.18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1127897 and 1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 0*s + 5\/2*s**2 - 7\/6*s**6 + 0*s**5 + 0*s**3 + 10 + 0*s**4. What is the second derivative of u(c) wrt c?\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x + 32. Give r(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -578\/11 in 108, 3\/2, -0.3, 0.07?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2051544454 - -14?\nAnswer: 2051544501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*u = 38, -3*k + u = 3*u - 17. Let v = k + 21. What is the highest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*0.130394.\nAnswer: -0.0912758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 10*p - 2*d + 32814, -5*p + 41018 = 3*d. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**4 - 5*w**4 + 0*w**4)*(13 - 5*w - 13) + (-2 + 2 - 2*w**2)*(2*w + 0*w - 3*w)*(17 - 17 + 12*w**2).\nAnswer: 29*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p - 4*p)*(-3*p + p - p) + (-3*p + 2*p + 3*p)*(5 + p - 5) + 3*p**2 + 2*p**2 - 4*p**2.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*118\/590?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 15 + 3 - 3*y.\nAnswer: -3*y - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42608, 85214, 127820, 170426, 213032, 255638?\n\"Answer: 42606*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. Let y = 0.02 + 0.02. Let g = y - 0.34. Is g at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/5, -31, -1\/4, 1\/12 in descending order.\nAnswer: 1\/5, 1\/12, -1\/4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10 - 5)\/(105\/910 - (-814)\/2860).\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1955 + -1731. What is the lowest common multiple of a and 10?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = -4*l, 0 = g + g + 2*l - 18. Suppose 2*o = -0*o + g. Solve -4*z - 3*y = -6 - 19, -2*y + o = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -202*b - 387. What is the smallest common multiple of 3 and i(-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = -4*y + 16, 5*n = -3*y + 25. Suppose n*u - 30 - 36 = -2*j, j - 5*u = 33. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 2*c**4 - 13*c**3\/6 + 4*c**2 - 2. Is q(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 212 = -2*k, -7*r - 13195658 = 3*k - 13195955 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199*h**2 + 3*h**3 + 2*h**4 + 1 - 4*h - 200*h**2 - 1 to the form m*h + w*h**4 + z + j*h**3 + u*h**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(8 - -1225))\/(-8*11\/176)?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46101.608 less than -30611?\nAnswer: 15490.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.773 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*w**4 - 486.\nAnswer: 308*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -258470 divided by -127\nAnswer: 258470\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*t + 204 = 434*t - 186 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 8)*(-1415 + 1415 - 103*l).\nAnswer: 824*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718 a factor of 253341434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3537*i - 4*i**3 + 3537*i - 2)*(-3 + i + 3 + (-90 + 62 + 58)*(1 - 1 + 3*i)).\nAnswer: -364*i**4 - 182*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-8)*p*p**(-1\/15))\/((p\/p**(1\/18))\/(p\/p**(-3))))**(-3\/17))**(-1\/5) assuming p is positive.\nAnswer: p**(-361\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 8:17 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1182286 is divided by 174.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6541*j**4 - 26332*j**3*w**2 - 3*j**2*w**2 + 12*j**2 + 140*j*w**2 + 83*j + 27*w wrt j.\nAnswer: -156984*j - 157992*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/11 + (-4)\/22. Let z = h - -3. Suppose -3*s = -z*f - 2 - 4, -5*s = 4*f - 10. Which is smaller: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*b**3 - 2*b**2 - 431 + 218 + 213 in the form x*b + p + d*b**3 + c*b**2 and give d.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 17 = -0*s + s, -s + 5*h + 41 = 0. Let u = -18 + s. Let j(z) = -z - 2. Give j(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 + 1471\/10. Find the common denominator of -23\/12 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s + 4*x = -10, 1 = -x. Is s\/(-8) + (-2)\/(64\/(-84264)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 17*g - 122 = -5*u + 113, 0 = 5*g + 3*u - 107 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29089 + -7.4466\nAnswer: -29096.4466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkkkmktq. Give prob of picking 1 m, 1 k, and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -71459?\nAnswer: -5\/71459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.666242 to 0 decimal places.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7833 + 7833 + 242*z**3)*(2 + 6 - 1 + 1 - 1 - 2 - 1 + 6 - 3 + (1 + 1 - 1)*(-3 + 2 - 1) - 1 + 4 - 2).\nAnswer: 1452*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10 + 11 - 3 + 1. Let g(k) = -k + 4. Determine g(n) + 3*q(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + c - 189 = 0, 0 = 5*s + c + 181. Let u = 15123 + -15160. Are s and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18482372 (base 10) to base 13\nAnswer: 3aa171c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-322)\/(-138))\/((-4)\/48*-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 5:35 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*z = 639 - 1747, 5*a - z - 2744 = 0. Calculate the least common multiple of a and 2.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5961794*i**2 + 355*i + 8028.\nAnswer: 11923588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12021 - 23?\nAnswer: -12044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 0*j**3 + 92 - j - 90 - 2*j**3 to the form d*j**2 + r + m*j + k*j**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7097, -14221, -21333, -28427, -35497, -42537, -49541, -56503?\n\"Answer: u**3 - 7131*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**7\/2520 - 27*n**4\/8 + 15*n**2. Let f(c) be the second derivative of r(c). Let j(h) = 22*h. Calculate f(j(d)).\nAnswer: -484*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o + 84 = 41*o. Let w be (13 + -8)*(o\/5)\/3. What is the greatest common divisor of w and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5282, 5539, 5962, 6545, 7282, 8167?\nAnswer: 9194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 24. Let l be (18\/y)\/(6\/(-28)). Let t(b) = b**2 - 2*b - 1. Let x be t(3). Sort 5, l, x in decreasing order.\nAnswer: 5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 - -1046. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y**2 + 2*y**3 + 187*y**2 - 52*y**2 - 118*y + 60 = 0. Calculate y.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72762 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0 + 1\/30*j**5 - 2\/9*j**4 - 18*j - 2\/3*j**2 + 5\/9*j**3. Factor u(v).\nAnswer: 2*(v - 2)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 119*c**2 - 410*c - 17. What is the units digit of n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 292039763 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -766287396 by 6.\nAnswer: -127714566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20221021000 (base 3) to base 13.\nAnswer: -4a19c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 27. Is 4*66 + 1 + t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from riirrdiddirriiriiir?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let y(i) = i**3 + 21*i**2 + 20*i + 6. Let a be y(-20). Let g(z) = z**2 + 3*z + 2. Let t be g(-2). Solve t = u + h - a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 + 6043*g\/7 - 1511\/7.\nAnswer: (g + 1511)*(4*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75\/30*(-376)\/(-20). Suppose 2*j - 3*k - 4 = 4, 0 = -2*j - k. Put f, 5, j in decreasing order.\nAnswer: f, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**3 + 3*r**2 - 7*r + 3. Let z be n(1). Which is the fourth smallest value? (a) 0.2 (b) z (c) 18 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:32 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 + 6*r + 2. Let l be s(-2). Suppose -28*w + l = -30*w. What are the prime factors of 2 - w\/(20\/76)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + f**2 + f + 7. Let d be s(0). Let r(p) = 2*p - 10. Let j be r(d). Solve j*y - 23 = h, 2*h + 0*y = 3*y - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 463, 0.1, 2, -2\/15 in decreasing order.\nAnswer: 463, 2, 0.1, -2\/15, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.858 - 0.142. Sort a, 2\/13, -0.2, -0.5 in ascending order.\nAnswer: a, -0.5, -0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 13. Is 609 + ((-6)\/3 - y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*34\/(-1360)*26\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 14*y + 12. Is (60\/5)\/(4\/y) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i - 153 = 0. What is the remainder when i is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + (-55)\/(-4) + -2. Let x be 2*-15*g\/30*-1. Calculate the highest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s**5\/9 + 68*s**4\/9 - 4*s**3 - 244*s**2\/9 - 208*s\/9 - 16\/3 = 0 for s.\nAnswer: -3, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -18\/17353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -233*j*r - 3209120*j + 6081*r wrt r?\nAnswer: -233*j + 6081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34629812 and 1334?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -5*w**2\/2 - 5*w + 1. Let i(p) = 7*p**2 + 12*p**2 + 8*p**2 + 0*p**2 - 28*p**2. Let t(y) = -i(y) - k(y). Determine t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2616122368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (-18 + (38 - 86))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 + 189. Calculate the smallest common multiple of w and 15.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*m - 275*m + 27*m + 3 - 3 + 16*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 155, 214, 273, 332, 391?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22696 divided by 5\nAnswer: 22696\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 27*a**2 + 51*a + 28. Let j be m(-25). Solve -2*w + j = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127964391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 754079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, -1, 3, -7 in decreasing order.\nAnswer: 3, -1, -7, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - -1842?\nAnswer: 182d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -727 - -bc7?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 - 35.818\nAnswer: -35.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19467742 divided by 21679?\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -8*g + 3*g. Let m be (-88)\/6 + 4\/g. Does 6 divide (3\/(-6))\/(1\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2. Let i(z) = 2*z - 7. Let d(y) = y - 3. Let n(v) = -v + 3. Let j be n(-4). Let r(s) = j*d(s) - 3*i(s). Give t(r(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8728?\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 5*k - 2*k)*(-4 - 1 + 2)*(4 + 4 - 12) to v*k + s and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.2*0.9.\nAnswer: -57.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189517*n**2 + 189517*n**2 - 4*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 676*s + 1 + 5*s**2 + 4*s**2 - 679*s. Let g be q(1). Let y = 15 - g. Solve -3*l - j = -y, 0*l + 5*j - 20 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-567)\/(-105))\/(126\/490).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -726687*l**3 + 5*l**2 + 5207*l + 52?\nAnswer: -4360122*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3*i + 2. Suppose -5*g - 9 = -3*w - 21, 5*w = 3*g - 36. Let y be 1\/((-4 - -2)\/14). Let b = w - y. Calculate c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33444231 (base 5) in base 12?\nAnswer: -123928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let m be 3 + (-230)\/25 - 1\/(-5). Let i(t) = -t**3 - 7*t**2 - 4*t + 13. Let w be i(m). Give q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 33*a = -144. Suppose -8*o = -9*o + a. Let n = -1 + o. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-2)*(-5)\/20. Let a(o) = o**3 - o + 1. Let s(x) = -x**3 - x + 1. Determine r*a(f) - s(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 - 10 + 115*f + 47*f**2 - 135*f.\nAnswer: 67*f**2 - 20*f - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 69 - 7*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26\/11 (b) -3\/10 (c) 5 (d) -0.5 (e) 2 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27486*i = -27487*i - 11 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 5*2\/(-35)*-399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -16. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - -7. What is the remainder when 294 is divided by k?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/697769 or 1?\nAnswer: -3\/697769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 902*i + 2 + 4*i**3 - 454*i - 450*i + 21*i**2 in the form n*i + o*i**2 + c + q*i**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 1)*-5.\nAnswer: -15*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 522811031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p - 8. Let o = -71 + 74. Let n(j) = 5*j**3 - 5*j**2 + j + 3. Let i(c) = 3*c**3 - 900*c**2 + 2 + 896*c**2 + c**3. Give o*i(z) + p*n(z).\nAnswer: 2*z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) -27 (c) -9 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -3, -87, 176 in increasing order.\nAnswer: -87, -31, -3, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 206597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)\/s)\/(s\/(s**(1\/2)*s)*s)*(s**2\/s)\/s**(-1\/4))\/((s\/s**(1\/5)*s)\/(s*s*s\/(s*s\/(s\/s**(-3\/2))*s*s))*(s**(-1))**(-24)) assuming s is positive.\nAnswer: s**(-611\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**3 + 4*x**2 - 4*x + 5. Let u(f) = -6*f**3 - 5*f**2 + 4*f - 6. Calculate -5*d(p) - 4*u(p).\nAnswer: -p**3 + 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 70*o**5\/9 - 1486*o**4\/3 - 1448*o**3\/9 + 856*o**2\/3 - 512*o\/9 = 0.\nAnswer: -1, 0, 2\/7, 2\/5, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a. Let i(k) = -104*k**2 - 3*k + 7. What is i(z(l))?\nAnswer: -416*l**2 - 6*l + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - t + 2*t)*(50 - 163 - 40*t + 76) as w + d*t**2 + f*t and give f.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2 + 4694*h + 4693 = 0.\nAnswer: -4693, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6205))\/(13\/1950*10). Let l be (-8)\/(-8687)*4659 - 0. Let m = g + l. Find the common denominator of 65\/36 and m.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 + b**3 - 17 + 0 to the form v*b + k + s*b**2 + l*b**3 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/2 - 5883*k**4 - 23631*k**3\/2 + 170757*k**2 - 247212*k = 0. What is k?\nAnswer: -7, 0, 2, 3, 3924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u**2*x**3 - 14*u**2 + u*x**3 + 2*u - 9*x**3 wrt u?\nAnswer: -10*x**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 4*t + 4. Let y = 9 - 13. Give d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = -24*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6154906 to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -1.8. Let w = 6.4 + -6. What is the closest to v in 1, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/29 (b) 1\/5 (c) 4006 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soo when three letters picked without replacement from sosssoosoosoo?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147900778 a multiple of 971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 151*t**3 + 2*t**2 + 754*t + 2258. Give n(-3).\nAnswer: -4063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 4, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 24. Suppose -6*s - 46 = 50. Let g = s + 19. Solve -g*v = -6*v + r + c, 2*r = -5*v + 31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 875?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k + 1. Suppose -4*m - 4 = -a, -2*m = -0*m - a. What is the remainder when m\/11 - (-398)\/11 is divided by j(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8973.09 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*q = 73*q - 60 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 144*q**2 - 10*q = 0. Calculate q.\nAnswer: 0, 5\/72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -1197.7.\nAnswer: -155.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 115?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1318 divided by -112649.\nAnswer: 1318\/112649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 36*v**2 + 15*v + 9. Let l(p) = 18*p**2 + 8*p + 5. Suppose 15*k + 570 = 20*k - 100*k. What is k*x(w) + 11*l(w)?\nAnswer: -18*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 600 and 5.\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, 386 in ascending order.\nAnswer: -2, 2, 4, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5344721, 5344723, 5344725, 5344727, 5344729?\n\"Answer: 2*s + 5344719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/5 of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.4 - 7.4. Which is the second biggest value? (a) 4 (b) 2\/23 (c) -2\/11 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 10*j = t + 11*j + 45, -6 = 3*j + 3 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6112 and -83\/144.\nAnswer: 55008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 401 = -75. Calculate the remainder when 90 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (122\/(-12*5\/(-45)))\/30?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 454 + 115?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010001 + -11?\nAnswer: 110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyofaoooafofa. Give prob of sequence fya.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2 - (12\/(-9) - -3)). What is the second smallest value in -0.5, 59, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from kpcockkcokcokkkpc?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 980 and 86161600?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118 + -14. Let k = z - 87. Calculate the remainder when 49 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -995236 - -0.3.\nAnswer: -995235.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459) - sqrt(459)*3)\/(2*-3*sqrt(3) + sqrt(3)).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -53*(-3 - -7). List the prime factors of (-52417)\/k + 1\/(-4).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) + sqrt(280)*2)\/sqrt(10))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 20187737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**4 - w**3 - w**2 - w. Let z(m) = 5*m**4 - 4*m**3 - 4*m**2 + 46*m + 76. Let q(x) = -4*o(x) + z(x). Differentiate q(u) wrt u.\nAnswer: 4*u**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -93. What is the tens digit of i + -4 + (22 - -47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 332529.2ug?\nAnswer: 0.0003325292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/210 and 121\/798.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1393*q = 1395*q + 168*y - 498, 5*q - y + 18 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36803*x**5 - 2*x**4 + 2*x**3 - 13*x**2 - 30276*x + 2 wrt x?\nAnswer: -2208180*x**2 - 48*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -358?\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102223 + 11?\nAnswer: 102300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 636416 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g**2 - 40*g + 7. Let i(l) = 22*l**2 + 120*l - 22. What is 5*i(a) + 16*o(a)?\nAnswer: -2*a**2 - 40*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -4*m. Suppose -1 = 4*n - m*n. Which is bigger: 3.3 or n?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 + 219460*v**3 - 6026475306*v**2 + 336650046048*v + 3969367471080 = 0 for v.\nAnswer: -10, 66, 54837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 - 105. What is the least common multiple of (p\/2)\/(-1)*(78 + -21) and 12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.073, 2, 2\/7, 3, -2 in decreasing order.\nAnswer: 3, 2, 2\/7, 0.073, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/127 or 24858?\nAnswer: 3\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1001110001001100?\nAnswer: 1001110001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 777 divided by 1.\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a - 11 + 5 + 3)*(a**2 + 4*a**2 - 6*a**2) + a + 3*a**3 - a.\nAnswer: -7*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76475 by -4025.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1660048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4287 + 4643. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 26*b = -k - 4, 5*k + 6*b - 60 = 0. Solve 5*t - 3*i - k = 0, 8*t - 12*t - 10 = 5*i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.868 - 0.86. Let m = -0.808 + o. Which is the closest to 1\/3? (a) 0 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (10 + -5 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/9 + 232*k**4\/9 + 1052*k**3\/3 - 10840*k**2\/9 + 11294*k\/9 - 1280\/3 = 0. Calculate k.\nAnswer: -15, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -568f8 (base 16) to base 8\nAnswer: -1264370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6001541 (base 8) to base 6\nAnswer: -53421441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b**2 + 12*b - 65. Calculate the least common multiple of k(4) and 243.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17110689 a multiple of 989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeoj. Give prob of sequence oj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 74?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 2, d: 3, x: 5}. What is prob of sequence kxkr?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t + 10. Let f(d) be the first derivative of 3*d**2 - 1. Let j(n) = 7*n. Let i(s) = t*j(s) - 6*f(s). Let q(y) = -y. What is i(q(u))?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/4))\/c*c**(-5\/6) assuming c is positive.\nAnswer: c**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/25, -4, -0.2, -0.4, -0.5, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64008545 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106*o*q*x**2 - 2*o*q*x*y + 4*q*x**2 + 4*q*y + 3*q - 2*x**2*y with respect to o.\nAnswer: -106*q*x**2 - 2*q*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70479)\/246)\/191)\/((14\/(-8))\/(-1))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t + x - 209 = 0, -5*x + 109 = 2*t. Suppose 30*p - 39*p = -243. What is the remainder when t is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((77\/14)\/11 - 6) + 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 24, 0 in decreasing order.\nAnswer: 24, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15 = -3*h - 6, h + 2 = 2*k. Let w = -81.6 - -81.8. Let d = -0.4 - -0.3. What is the closest to d in h, 2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44011424 (base 5) to base 2\nAnswer: -1011011110000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530280 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a034d6 - 5?\nAnswer: a034d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -316?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 22, 21, 0, -47, -126?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -13*f + 1050. Suppose 10*t = -97 + f. Let x(h) = h**3 + 2*h + 1. Determine x(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, a: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 48 + 5 = -3*l, 0 = -4*j - 16. Suppose 3*x + 3*x - 198 = 0. Suppose -7*d - x = -10*d. Calculate the remainder when l is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m*r*w - 7435210*m*w + 2*r**3 + 2*r*w - 2183*r - w wrt r?\nAnswer: -m*w + 6*r**2 + 2*w - 2183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + 3*w**4 - 2*w**4 + (-1 + 1 + 2*w**4)*(0 + 2 + 0) + 0*w**4 + 4*w**4 - 6*w**4 + (w**3 + 3 - 3)*(w - 2*w + 2*w) + 22*w**2 + 5*w**4 - 22*w**2.\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 7:52 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*s = 204*s + 33284. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65315883 - -61870072.3. Let l = -3445782.700021 - b. Let r = 28 - l. Round r to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*s - 40 = 0, -2169*q + 2168*q + s + 10 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 100425 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-7)\/(21\/(-48)). Suppose 17*x + m = 18*x. Solve 5*d = -x + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**2\/l)\/l)**(14\/5)*l**(-2\/5)\/(l**(-3\/5)*l*l))**45)**(-46) assuming l is positive.\nAnswer: l**3726","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3575?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2076*r - 80970. Calculate o(-39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:50 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -15, -30, -51?\n\"Answer: -3*x**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506708862 is divided by 102.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 + 0)\/(1 + (-336)\/332) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 12 = 18. Let m be (-8)\/a*(-30)\/(-4). Let f = 24 - 4. What is the greatest common factor of m and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 1 + 0*h - h)*(2*h - 4*h - 2*h) to the form d + v*h + g*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -723529*o**2 - 174399.\nAnswer: -1447058*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 564425 by 112885.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.067201153 + -0.0672. What is j rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = 5*s - 153 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4340.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -0.2, 7\/19, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276879568.\nAnswer: 2, 7, 311, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 319842 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) -2\/5 (c) -977\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 92.12?\nAnswer: 276.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 2*d + 8. Let o be i(-10). What are the prime factors of (o\/10)\/((-1)\/5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13186.1562 rounded to 0 dps?\nAnswer: -13186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*((-553)\/(-35) - 9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:48 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:30 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 417, 621, 825, 1029, 1233?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/4 - 125*r**2\/4 + 37891*r\/2 + 134064 = 0. What is r?\nAnswer: -342, -7, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + c. Let v(j) = -j**2 + 8*j + 19. Let m be v(10). Determine a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 1. Let w(t) = t - 1. What is -3*i(b) + 6*w(b)?\nAnswer: 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 62263.\nAnswer: -30\/62263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) 2\/49 (c) -0.3 (d) 3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -254 - -641. What is the units digit of (-2)\/(-10) - c\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 449606120 by 5.\nAnswer: 89921224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 18 = 3*t - 4*t, 4*t - 30 = -5*o. Let p be (-9)\/o + (-5 - -5). Which is bigger: 25 or p?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*k - 95 = -0*m, -2 = 2*k. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102558222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 649185, 2596687, 5842523, 10386699, 16229221, 23370095, 31809327?\n\"Answer: d**3 + 649161*d**2 + 12*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 14*x**2 + 8 - 2 - 67*x**2 + 0.\nAnswer: -53*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 9*a + 4. Let m be g(6). Let x(i) = 23*i**3 + m*i**2 - 7*i**3 - 14*i**3. Let l(d) = -d**2. Give -44*l(p) - 2*x(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58516887.\nAnswer: 3, 11, 13, 136403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9 - 3*h - 21 + 4*h.\nAnswer: h - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/13? (a) 5 (b) -0.6 (c) 0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 18*t**2 + 228*t - 483. Give n(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, 71064 in descending order.\nAnswer: 71064, 18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -14*p**2 - 18*p. Let h(n) = -5*n - n + 2*n**2 - 7*n**2. Suppose 5*o - 24 = 2*o. Let d(x) = o*h(x) - 3*i(x). Factor d(c).\nAnswer: 2*c*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -259, -256, -259, -274, -307, -364, -451?\n\"Answer: -m**3 + 3*m**2 + m - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g - 989 = -5*a, 2*a + 4*g = 410. What are the prime factors of a?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4028?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20 + 0 + -10 + 18079990. What is y rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(30)\/sqrt(3)) + (2*sqrt(130))\/sqrt(10))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13 + -1 + -4 + 1. Let u be j\/27*(-3)\/(-1). What is the highest common divisor of 5 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpz when three letters picked without replacement from {p: 14, z: 4}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10001011 - 2212?\nAnswer: -10003223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**6\/270 - v**5\/60 - v**4\/36 - 2*v**3\/3 + 9. Let y(r) be the third derivative of p(r). Factor y(s).\nAnswer: -2*(s + 1)*(2*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 8*s**2 + s + 8. Let f be v(-8). Let h(x) be the first derivative of f*x + 1\/9*x**3 - 2 - 1\/6*x**2. Solve h(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-8) - 799\/136. Let c be t\/(-4)*(2 - 0). Calculate the least common multiple of 4\/c*2*27\/12 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 - (-8 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99)*-1 + 4)**2 + -4 - ((sqrt(396)*-1)\/sqrt(12))\/(sqrt(3) - 4*sqrt(108)).\nAnswer: -139*sqrt(11)\/23 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.177, -3\/13, 3, 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -152\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -f + 22. Let b = 15 - 21. Calculate the least common multiple of (-7 - b)\/(2\/(-20)) and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000164225 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 d, and 1 f when four letters picked without replacement from {f: 4, d: 5, v: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m - 9. Let n be z(4). Solve 0 = -n*s + s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -15. Put s, -0.1, 0 in decreasing order.\nAnswer: s, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 690236*f**4 + 23*f - 709 wrt f.\nAnswer: 8282832*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3282863 < -3282909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.385167 years?\nAnswer: 88.622004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + q**2 - q + 1. Let j(n) = 19*n**3 + 11*n**2 - 14*n + 12. Give -22*b(v) + 2*j(v).\nAnswer: 60*v**3 - 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 98\/(-1008)*-12.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 3*p + 1. Let w be x(2). Suppose 0 = 5*a - 7 - w. Is 0\/(a\/(-1)) - -211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.687*-68\nAnswer: -182.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2206*b + 37694 - 37694 in the form s*b + y and give s.\nAnswer: 2206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1404)\/288)\/((-1)\/2) + -11. Let v = 8 - 12. What is the third biggest value in 0.215, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, p: 1, m: 2, o: 1, t: 1}. What is prob of picking 2 x, 1 m, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 5592?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h = 2*m - 4, 2*h - m - 2 = 0. Which is the nearest to -1\/3? (a) 0 (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**4 - 18*l**4 + 34*l**4 + 2*l**4 + 2*l**4 + l**4 + (-3*l**2 + 3*l**2 - l**3)*(2*l + 0*l - l) to p*l**4 + v + j*l + u*l**3 + w*l**2 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -9*i + 22*i. Let g(m) = 6*m**2 - 10*m - 2. Let l(p) = 2*p**2 - 3*p - 1. Determine i*l(o) + 2*g(o).\nAnswer: -2*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 542, 1080, 1604, 2108, 2586, 3032?\n\"Answer: -t**3 - t**2 + 548*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -2\/3, 2, 3\/8, -4\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-73 - (-1 + -12)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -27. Let k(u) = 2*u - 18. Is k(x) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 32, -15, -78, -163, -276, -423?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -775462951.733825 - 0.5.\nAnswer: -775462952.233825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7103663, 14207332, 21311007, 28414688, 35518375, 42622068?\n\"Answer: 3*h**2 + 7103660*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j**3 + 0*j + 3*j**2 - 1\/70*j**7 + 0*j**5 + 0 - 1\/20*j**6 + 0*j**4. Solve i(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7651\/39 and 197 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/9)\/(((-138)\/9)\/(-46)). Sort y, -4, 0, 0.26 in decreasing order.\nAnswer: y, 0.26, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/5 (c) -0.3 (d) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13244 (base 7) to base 14\nAnswer: -1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*a - 2*g - 43, 3*g = -4*a + 172. Suppose -3*i = -a + 7. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -10\/3*t**4 + 0*t**3 + 1\/4*t**5 + 0*t**2 - 18*t + 0. Solve s(r) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-142)\/141*1 + 1). Let c = h + 2314. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8028 = 188*s + 3106 - 5042 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxxzxxzzxzxz. Give prob of picking 3 z and 1 x.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.87 - -612.87. Let n = 603.25 - a. What is n rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/120 - v**5\/60 - v**4\/24 + v**3\/6 + 2*v**2. Let z be g(2). Solve -a - 2 = a, -3*q + z*a = 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and -0.06.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2362 is divided by 1106.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -143? (a) 0 (b) -0.01 (c) -4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15850860 by 804.\nAnswer: -19715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00345148 rounded to 5 dps?\nAnswer: 0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 52?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (15 - -28) + -14?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 b when four letters picked without replacement from vvbvvvbv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 128? (a) 0.16 (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4353431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 5, n: 1, w: 7, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and 5?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 1 + 4)*(-3 - 2 + 3) - 2 + 2 + 1)*(f - f + 2*f) - 4 + 1 + 166*f - 183*f - 3*f - 2*f + 0*f as n*f + c and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 20*u - 84 - 81 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 1.6456113682.\nAnswer: 0.6456113682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 10*z + u + 4 = 0, -z + 4*u - 23 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9025525*y**4 + 3*y**3 - 411025576*y**2 wrt y.\nAnswer: 216612600*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-39)\/(-3) - 2) + 3. Suppose b*q - 10*q - 12 = 0. Suppose q*w - 2*w - 49 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4190190 less than 1394512.6?\nAnswer: 5584702.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.1 + -10.1. Which is the fourth smallest value? (a) -5\/6 (b) -3\/5 (c) v (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2959*u + 111*u - 170*u - 87522 = 0 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 1. Suppose 0 = -0*k + 2*k - 2. Let i be w(k). Suppose -2*x = -i*x + 10. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35.7 + -2171013\nAnswer: -2170977.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1508 - 1341 = -11*r. Let g = -207 + r. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.7*-0.022\nAnswer: 0.1694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 33*a - 296. Let g(m) = 17*m - 148. Let h(l) = -9*g(l) + 4*t(l). What is the units digit of h(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33414*w**3 + 11554*w?\nAnswer: -200484*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23 - 28 - 73*t + 12 + 75*t with respect to t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5)*-1)**2 + 4 + -2.\nAnswer: sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6*j + 8. Let k be (-6)\/(-33) + 51\/22 + j. Let -1\/2*x**2 + 1\/2*x**3 + 0*x + 1\/2*x**4 - k*x**5 + 0 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - q - 3*q + 25, 5*q - 5 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114247 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2. Let r(n) = 53424*n**2. Give r(a(x)).\nAnswer: 53424*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28167 - -28167. Sort 20, t, -102 in descending order.\nAnswer: 20, t, -102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -135, 18.5, -356?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 46887?\nAnswer: 187548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21287248 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209 + 212. Find the first derivative of -10 - 86*c**3 + 45*c**3 - 15*c**g wrt c.\nAnswer: -168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3093*a**2 - 68*a - 502. Is u(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 5*s**2 + 2. Let c be a(-5). Suppose r - 7 = z, -c*r - r + 11 = 2*z. Suppose 3 = 3*w - 4*w, 2*q + r*w = 25. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -197814.\nAnswer: 1\/65938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*p = 87*p - 2, 0 = 2*i + 3*p - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l*l**(-2\/55))\/l*l*l*l*l**5*l)\/(l**(1\/23))**(15\/7))**(-25) assuming l is positive.\nAnswer: l**(-481290\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 24\/(-20))*(-6920)\/519?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -65. Let p(u) = -u**3 - u + 2 + 1 - 2*u + 3*u**2. What is p(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let t be -1*15*w\/3. Let j be (-8)\/(-5) - 8\/t. Solve j*u + 0 - 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q + 1. Let y(w) = -7*w - 45. Let u(x) = -3*h(x) - y(x). Calculate u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747256.\nAnswer: 2, 93407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3842000, -7683991, -11525982, -15367973, -19209964?\nAnswer: -23051955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2. Let t(f) = -225*f**2. Determine t(w(h)).\nAnswer: -5625*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 7. Let d = x - -21. Calculate the highest common factor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 18.1, 3, 17, 867?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -11 + 18 + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (198\/12 - (-2)\/4)*(-10 + 11). Solve j - s = 4, -15*s + 8 = 5*j - i*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -203\/3630 and -19\/20250.\nAnswer: 2450250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/60 and 61\/25.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + o**2 - o + 12. Let k be ((-1)\/(-1) - 2) + 29. Suppose 5*g - 9*g = k. Let x = 7 + g. Calculate q(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 > 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*n + 726 = 2*u + 211*n, -8*n = -3*u - 4*n + 39 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.841 - 10.85\nAnswer: -10.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*i**3*k**2 - i**3*k + 1824*i**3 + 3*k**3 wrt k.\nAnswer: 80*i**3*k - i**3 + 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a6329 (base 12) to base 7\nAnswer: -1566063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6 + 245*b**4 + b**2 + 57 wrt b?\nAnswer: -120*b**3 + 5880*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**3 - 8*v**2 + v. Calculate p(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/2 + (-8)\/(-4). Sort f, -4, 0 in decreasing order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3212*u - 325*u + 119*u = 20508 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 3\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2. Let s(f) = 7*f**2 - 2*f. Let m(z) = -119*z**2 + 35*z. Let u(t) = 2*m(t) + 35*s(t). Determine a(u(g)).\nAnswer: -49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -341.022708 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.838 and -0.02.\nAnswer: -3.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. Suppose y*v + 2*v - 15 = -l, 4*v = 4. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10362431, 10362447, 10362463, 10362479, 10362495?\n\"Answer: 16*b + 10362415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*n**2 + 60*n - 58*n + 39*n**2 to the form s*n + q*n**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*n - 35351 + 8247 = -53*n. Calculate the remainder when 319 is divided by n.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(567) + (5 + (2 + sqrt(567))**2 - sqrt(567)) + 0 + sqrt(567) + 2).\nAnswer: -2890 - 225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 211135\/2? (a) -4\/11 (b) -18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*u - 86765 = 3726*u - 8787 - 9182 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102100220 + 12212?\nAnswer: 102120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -5*i - 537. Calculate the remainder when i is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403161.\nAnswer: 3, 11, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 47783.44227 to the nearest 100.\nAnswer: 47800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17546943.7 less than 6413?\nAnswer: -17540530.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 + 6440*p - 1257600 = 0. What is p?\nAnswer: 240, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17870 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 3}. Give prob of picking 2 o and 1 t.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-5 + 9*f + 5 + (3*f + f - f)*(1 + 0 + 1)) + 2*f - 9*f - 2*f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 + -5.2. Let n = h - -6.7. Let g = n + 3.3. Which is the closest to -1? (a) 3\/7 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.165159mm in nanometers?\nAnswer: 2165159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:11 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.431534 * 3.8.\nAnswer: -9.2398292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5275941, -10551718, -15827495, -21103272, -26379049?\n\"Answer: -5275777*r - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-2) - 3) + -10)\/((-9)\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 3, f: 1, h: 1, k: 7}. Give prob of sequence fhg.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 8 = -3*k. Calculate the least common multiple of 18 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2525972424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38692, 75073, 111454?\nAnswer: 147835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000355893577 to 7 dps.\nAnswer: 0.0000356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 11:21 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 705 and 10633515.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 71. Let a = 47 + m. Let b be 8700003 - (-1 + a\/2). Round b to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4 - 3\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/(-3)*792\/48?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 115 = -18*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*i - 688 = -0*d, -2*i = -3*d + 664. Suppose -m + h + 175 = 3*m, 0 = 5*m + 4*h - d. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 10. Let p be c(12). Suppose -m = -0 + p, -2*m - 4 = -2*v. Suppose v = -3*a + 15, -a - 485 = -5*o - 4*a. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 477*h - 267*h - 207*h.\nAnswer: 3*h - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33223.74588 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (124\/6 + 1)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*y + 3, 0 = -2*m - 3*y + 23. Suppose 2*b - 24*d + 22*d = 10, -5*b + m = -3*d. Solve b*n = -13 + 17 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81399842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621553.\nAnswer: 521, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 10*y**2 + 31*y - 45. Calculate the remainder when 124 is divided by d(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1453*j - 39. Let l be p(3). Suppose -15*k + l = k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 11942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o + 2023 - 595 = 26*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9381 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) + 3*10\/45. Suppose 3*y + 3 = i, -4*i = y + i + a. What is the units digit of (4\/y - -11)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.004 rounded to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p + 10. Let v(b) = -b - 2. Give -j(f) - 4*v(f).\nAnswer: -10*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Let v(t) = t**2 - 4*t + 3. Let m be v(q). Suppose -10 = -3*g + 5*f + 26, 0 = -m*f - 9. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/7 + 1852*d**4\/7 + 436082*d**3\/7 + 3400272*d**2\/7 + 6741792*d\/7.\nAnswer: 2*d*(d + 4)**2*(d + 459)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 7. Suppose -o*z - 3*a = -22, 2*z + 3*a + 8 = 6*a. Is 15\/10 - (-1)\/z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -273*j**4 - 158*j**3 - 28760?\nAnswer: -1092*j**3 - 474*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5034 + (8 - (-3 + 6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.27 - 74.27. Let b = x + 77. What is the nearest to -3 in 0, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + q**2 - 13*q + 35100. Let y be 6 + 1456\/(-238) + 4\/34. Let o be l(y). What is o rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Let g = h + 4. Which is the third biggest value? (a) 1\/4 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -47. Let k(d) = -d**3 + 8*d**2 - 6*d. Let j be k(5). What is the greatest common divisor of o and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 861 - 863 - ((0 - 2) + (-2 - -25)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/54 and 61\/49059?\nAnswer: 98118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 11:51 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 + 6351114619*r - 6351114619*r.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 222965532 to the power of 1\/2, to the nearest integer?\nAnswer: 14932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -15*g. Let n(t) = -88*t - 1. What is n(p(u))?\nAnswer: 1320*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -167178 + 0?\nAnswer: -167178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 2*c + 0*c**3 + 0*c**2 + 0 - 5\/12*c**4 - 1\/20*c**5. Find the third derivative of x(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4\/11, 4 in descending order.\nAnswer: 4, 4\/11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 3:08 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -1585, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2373*j*r**5 - 7*j*r**2 + 81*r**2 wrt r?\nAnswer: 142380*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/(-63))\/(-8 + 12). Which is greater: 0.15 or k?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z + 142*z - 20407 = -225*z - 3247 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (327 - (-84 + 407) - (0 + (13 - 1)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45332101 (base 6) in base 8?\nAnswer: 5210545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 2*g. Let t(a) = 8*a**2 + 9*a. Let i(v) = -9*l(v) + 2*t(v). Suppose -2*j = -j - 4. Let w(f) = -2*f + j*f + f. What is w(i(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2\/5 - 192*w\/5 + 4608\/5 = 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (4 + (3 - -12) - -40)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -2 (b) -0.4 (c) 0 (d) 0.28 (e) 0.483\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1173, -1190, -1219, -1266, -1337, -1438?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g**2 - 2*g - 1. Let v = -3 - -5. Let a be v + -1 + -5 + 3. Is o(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/3372167 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*k + 237*k = -2. Let i = 61\/10 - 11\/2. What is the closest to -4 in i, k, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from pbpppzigz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 1. Suppose -3*p - 2*p - 10 = 0. What is q(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 4:55 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -182 + 186. Let y(l) = l**3 - 6*l**2 + 12*l + 1. Let g be y(a). What is the greatest common factor of g and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhrrrrrr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101100111101111001010 (base 2) in base 9?\nAnswer: -11587660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068555595 rounded to 6 decimal places?\nAnswer: 0.006856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - 5*h - 4*h + 3*h**2. Let d = 54 - 59. What is the units digit of t(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 16.1.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h - 46*h - 36*h.\nAnswer: -57*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -40, 0 in decreasing order.\nAnswer: 0, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**4\/6 + 263*w**3\/6 - 967*w**2. Let m(u) = 2*u**2. What is n(m(j))?\nAnswer: -8*j**2 + 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13025205 (base 7) in base 12?\nAnswer: -490806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.207942l to millilitres.\nAnswer: 2207.942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3, 126 in ascending order.\nAnswer: -3, -2, -1, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-19 - -5) + 7 - (9 - 7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5100, -42, -10 in decreasing order.\nAnswer: 5100, 4, -2, -10, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/48076 and -4\/1275731?\nAnswer: 35720468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/7 + 2332*z**2\/7 - 89912*z\/7 - 27024 = 0.\nAnswer: -2, 42, 1126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 92171.\nAnswer: 368684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 + 18*p - 81. Let a = -305 + 312. What is the units digit of n(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161.5279 - -0.5279. Let v = 39381657.99917 - 39381819. Let n = v - p. Round n to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38989 - 38971.037. Let h = 18 - i. What is h rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 2*u**2 + 0*u + 2 - 174*u**4 + 175*u**4 to the form y*u + n*u**3 + k*u**2 + w*u**4 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 - 107 - (-6177)\/258)*(-30)\/(-75)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -6. Let d = -6 + 8. Let h be ((-5)\/2)\/5*0. What is the closest to h in u, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*x = -3*w + 84, 0 = -2*w - 5*x + 171. Let y = w - 27. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -20. Let m = g - -8. Let k be ((-735)\/m)\/((-45)\/120000). Round k to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + s + 5. Let a(h) = 53 - 137*h**2 - 39 + 143*h**2 + 3*h. Determine -6*a(o) + 17*p(o).\nAnswer: -2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v - 4 + 3 - v - v. Let f(y) = -5*y + 1. Let k be f(1). Let c = k + 0. Determine o(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzc when three letters picked without replacement from {b: 1, i: 1, c: 6, d: 3, z: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 1 = 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1638, -3267, -4888, -6495, -8082, -9643, -11172, -12663?\n\"Answer: o**3 - 2*o**2 - 1630*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2 - 5*i - 2. Let y(r) = -r**2 + 2*r - 1. Let b be 10*(5 + 24\/(-5)). Let p(g) = b*y(g) - w(g). What is the second derivative of p(d) wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11e + -48b9?\nAnswer: -479a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8373.\nAnswer: 3, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110000110100101000 (base 2) in base 3?\nAnswer: 2211202021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 20)*(-8 + 7). Let r = j - -24. What is the remainder when 5 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2560 and -59\/7276.\nAnswer: 4656640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4249.5 * 0.7\nAnswer: 2974.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18663 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -13*j**4\/24 + 4*j**3 - 135*j**2. Find the first derivative of l(x) wrt x.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + ((sqrt(432) + 0 + sqrt(432))**2 - sqrt(432))*-4 + (0 + sqrt(432)*-1)**2 - (0 + -4 + sqrt(432) + -1 + sqrt(432) + sqrt(432))**2.\nAnswer: -10393 + 420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 5. Let m(u) be the second derivative of 0 + 11\/12*u**4 + 1\/2*u**b + 0*u**2 + 9*u. Find the second derivative of m(h) wrt h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2423094 rounded to 0 dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 2. Let z be l(1). Differentiate z*o**2 + o**2 - 11*o**2 - 1 - 6*o**2 with respect to o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*v - 5*v**2 - 416*v - 406*v + 1084*v + 2665 = 0.\nAnswer: -41, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 <= -242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202302895 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3439 less than -0.062251?\nAnswer: -0.406151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -18 (c) -66 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1337.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 148, 328, 578?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 18*k = -50. Suppose -5*h + 226 = 4*o, k - 40 = -h + 3*o. Suppose -5*l + 2*l = -h. Calculate the remainder when 26 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2771 divided by -6?\nAnswer: -2771\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*c - 103, 3*c = 2*c - b - 21. Suppose 7 = -r + 2. What are the prime factors of (-268)\/c - 3\/r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159 and 323601?\nAnswer: 17150853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12044 + -51212?\nAnswer: -103300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + 14 - 14.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*w = -12 - 26, q = -w + 68. Suppose 4*y = y + q. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 116124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 + d?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 652140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2450 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 2882292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5451, -5485, -5551, -5655, -5803?\nAnswer: -6001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 equal to 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2522067.\nAnswer: 3, 31, 47, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16) - (-133)\/(-152).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, e: 5}. Give prob of sequence eqeq.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 703910 and -213.1?\nAnswer: 704123.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = -20. Solve -j*x - 5 = 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**7\/1680 + 7*q**6\/360 + 2*q**5\/15 + 26*q**3 - 2*q - 72. Let a(r) be the third derivative of o(r). Factor a(n).\nAnswer: -n*(n - 16)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*a - 80 = 0, 5*a + 26 = h - 11. Suppose 0 = 16*y - h*y + 1. What is the tens digit of (10 - 3)*(16 - 3)\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 - 3 + 3. Let i(f) = 2*f**2 + 7. Let u(z) = -z**2 - 4. Let d(w) = 4*i(w) + 7*u(w). Calculate d(r(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241018202 is divided by 241018198.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 3. Let a = -13 + 18. Let k be m(a). Suppose -c**3 + 0*c + 1\/4*c**k + 0 = 0. What is c?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*y**3 + 91 - 26*y**2 + 13*y**2 + 13*y**2 wrt y?\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -402 + -323. Let t = 2841 + -93766\/33. What is the common denominator of (3\/(-2))\/(45\/g) and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3447*z**2 + 3366*z**2 - 6812*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845655943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(252) + -2) - 4*(sqrt(252)*2 + sqrt(252)) - (-4*-1*sqrt(252) + (sqrt(252)*-2)**2*-5)) + 4.\nAnswer: -66*sqrt(7) + 5034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 26*c + 1111. Let k(i) = 23*i + 1121. Give 7*k(v) - 6*o(v).\nAnswer: 5*v + 1181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5921 + -0.0751?\nAnswer: 1.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-3))\/(8 - 3). Solve 3*l + j + 4*j + 9 = q, -5 = 2*l + 3*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:11 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 15*q + 53. Let n(y) = 7*y + 26. Let h(c) = 3*k(c) - 7*n(c). Let x be h(-7). Which is greater: 6 or x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9828, 9819, 9798, 9759, 9696, 9603, 9474, 9303?\n\"Answer: -m**3 - 2*m + 9831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 5, 142, 9, -1, -29 in descending order.\nAnswer: 142, 9, 5, 2, -1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 14*v - 7. Suppose 27 = -g - 2*g. Suppose 13*q = 26*q - 273. Calculate the remainder when y(g) is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzuuzzjzzjjuj. Give prob of picking 1 z and 1 u.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92646860 is divided by 144.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -89*k**2 + 284*k**2 - 102*k**2 - 101*k**2. Let j(m) = m**2. Give j(s(v)).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 5, -2.\nAnswer: -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/13, -1\/14 in increasing order.\nAnswer: -3, -2\/13, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -90165, 4 in increasing order.\nAnswer: -90165, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -277091, -1108171, -2493303, -4432487?\n\"Answer: -277026*c**2 - 2*c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - 13*z**2 - 8*z + 9. Let k be g(7). Suppose 0 = k*y - 6, -3*y + 242 - 780 = -d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(2 - (3 + -3)). Let t = -7 + m. Suppose 5*d - 5*y - 1 - 9 = 0, t*y - 6 = -d. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-12)*47\/(7755\/(-450))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.48, 4, -1\/24?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*x + 6 = -4*x, 4 = 3*o - 2*x. Let z(y) = -9*y**2 - 4*y**2 + 2*y**o - 3*y**2. Let u(r) = -2*r. Calculate z(u(h)).\nAnswer: -56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -112351?\nAnswer: 112355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtcwutvtcwtvvvvttuth. Give prob of sequence cvt.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4 - 58*f**2 + 8*f + 7*f**2 + 1 + 1. Let y be h(6). Is 2*((-2 - y\/4) + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w + 63. Suppose 0 = -4*c + 5*n - 53, -5*c + 4*n - 31 = 24. Let k be r(c). What is the greatest common factor of k and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1088) + -2 + -4))**2 + 1 - (sqrt(187) - 4*(sqrt(187) - (3*sqrt(187) + sqrt(187))) - sqrt(187))\/((sqrt(11) + (sqrt(704) - sqrt(11)))*-4).\nAnswer: -765*sqrt(17)\/8 + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6704, 2, 4, -2, 11 in increasing order.\nAnswer: -2, 2, 4, 11, 6704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -886440660 divided by 2170\nAnswer: -408498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.42264 litres to millilitres.\nAnswer: 72422.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**3\/5 + 156*l**2\/5 + 3376*l\/5 - 7344\/5 = 0.\nAnswer: -17, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) -2\/7 (c) 5 (d) -0.8 (e) 5.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9998015?\nAnswer: 5, 1999603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -447 - -1020. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/10)\/(-1 - -28 - (18 - 2397\/(-255))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*q - 3*m, -2*q - 4*m = 2*q. Let a(i) = -3*i**q + i**3 - 3*i**2 + 2*i - 1 + 3*i + i. Let s = 10 - 5. Calculate a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13735 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 7*g**2 + 9*g**2 as m*g**2 + f*g + p and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9265394 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-38 - (-46 - -34)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzztz. What is prob of sequence ztf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 679, 1684, 3141, 5056, 7435?\nAnswer: 10284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*h + 3960 = 0, -23*t + 4941 = -28*t + 2*h. Which is smaller: -4942\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -14*i - 16*i + 18*i - 2*i. Let h(u) be the third derivative of -u**6\/240 - u**4\/24 - 4*u**2. Let d(r) be the second derivative of h(r). Give d(a(z)).\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2434.51 + 1.3\nAnswer: 2435.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 2*m - m**2)*(-m - m**2 + m) + m**4 + 5*m**4 - m**4 to o + z*m**3 + g*m**4 + l*m + n*m**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*n**3 + 13*n**3 - 9*n**3)*(1141*n + 8966 - 8966) to k*n + v*n**4 + s + t*n**2 + h*n**3 and give v.\nAnswer: -6846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4\/7, -18\/13, -2\/3, -4\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -30244605 > -30244605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 43*c - 371. Give l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -177*s - 2473. Let u be c(-14). Let k(p) be the first derivative of 0*p**3 + 0*p**4 + 0*p**2 - u + 2\/55*p**5 + 0*p. Factor k(r).\nAnswer: 2*r**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259 - 255. What are the prime factors of 3 + 408\/g*(-82)\/(-6)?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-5)\/(-550))\/((-4)\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*k - 45 - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11813, 1\/3, -2, 4?\nAnswer: -11813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2*g**2 + 3*g**2)*(14*g**3 + 58*g**3 - 20*g**3) + 6*g**5 - 2*g**5 - 2*g**5 + (-6 + 6 + 8*g)*(0*g**4 + 2*g**4 - 3*g**4).\nAnswer: -58*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*m - 5*m + 13, -4*m + 10 = 2*q. Let y = q - 3. Solve 6 = -y*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 13 = 7*k. Let x be (-27)\/9*(-884)\/k. Suppose 5*g - x = -0*q - 3*q, 4 = q. Is 43 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 130 = k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 5\/4, 60, 10, 5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((-9366)\/(-210) - 46)*-30.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2937 (base 13) to base 14.\nAnswer: -225b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3051 + -3050.7403. Round b to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.4. Let r = 43.69992 + -43.8. Let s = b - r. Round s to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22377 times 1215\nAnswer: 27188055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 - 6 = z, c + z - 6 = 0. Suppose c*o + 3*y + 7243 = -19982, 2*y - 45396 = 5*o. Let u = -2122 + o. Round u to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14*v + 29. Let h(l) = 5*l + 10. Let n(r) = 11*h(r) - 4*x(r). Determine n(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*c*s**3 - 3*c*u + 17*s**3*u - 5*s**3 with respect to c.\nAnswer: -46*s**3 - 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 74 - -3) + 23 + -70 + 48?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 975?\nAnswer: 975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1584 and 2000?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 1, -4, 9, 0, -2 in increasing order.\nAnswer: -4, -2, 0, 1, 9, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:15 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25947499 divided by 193\nAnswer: -134443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -155466, -155464, -155462, -155460?\n\"Answer: 2*t - 155468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*l - 64, -4*l + 0*l = -3*h + 62. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*o = 190, 2*x - o = 104 - 16. Calculate the remainder when x is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1626*q + 3237*q - 1610*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -i - i + 2, -3*w = -5*i - 39. Calculate the common denominator of (34\/(-16))\/1 + 0 and (-141)\/(-10) - w\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -79*x + 15. What is the remainder when l(-2) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, 31, 83, 151, 229, 311, 391, 463?\n\"Answer: -a**3 + 17*a**2 - 14*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -610*k**2 - 137*k**2 - 4897*k**3 + 4899*k**3 + (0*k**2 - 3*k**2 + k**2)*(-2*k + 3*k + k) in the form c*k**2 + b*k + l + t*k**3 and give c.\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c**3 + 0 + 1\/60*c**5 + 0*c + 0*c**4 + 0*c**6 - 15*c**2 - 2\/21*c**7. Find the third derivative of i(a) wrt a.\nAnswer: -480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/10 and -1\/1034447 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0234 - -182.9766. Let y = z - 182.59. What is y rounded to 2 dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079099368 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**2 - 47. Let z(p) = -1 + 2*p**2 + 1. Determine z(l(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f*i*q + 2*f*i - 372*f + 5*i*q + 35918*i - 18883*q wrt i?\nAnswer: 5*f*q + 2*f + 5*q + 35918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y = -14 + 258. Suppose 3*u + 12 = 7*u - 4*x, x = 5*u - 7. Which is the smallest value? (a) u (b) 4 (c) y (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415441 (base 7) to base 15.\nAnswer: 16314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/2 != 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.54 - 7.621. What is x rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*w + 3*b, 3*b - 8 = -132*w + 130*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:25 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)\/m**7)**(3\/7) assuming m is positive.\nAnswer: m**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 28*o - 100. Calculate the greatest common factor of o and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/5 (b) -0.8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - t**4)*(-1 + 1 + 3)*(2*t - 3*t + 6*t).\nAnswer: -15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5104972, 5104991, 5105010?\nAnswer: 5105029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51\/2 + 1381\/54. Let u = 0.12 - 0.08. Let z = 0.96 + u. Which is bigger: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(4\/(-5) - -1). Suppose 0 = 5*d + k - u, 2*d + 4*k = -0*d - 8. Let y(c) = -c + 6. Let a be y(d). Put -3, -1, a in descending order.\nAnswer: a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/(-15))\/((-2)\/6). Suppose 2*v - 10 = x*k, -2*k = 4*v + 2 + 2. Sort 4, 0, k in increasing order.\nAnswer: k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3 - 1 - 2*p + 2 - 4 + p. Give x(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-1) + (0 - 3). Let d be (75\/(-30))\/(n\/(-2)). Which is the second biggest value? (a) -4 (b) d (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32817177 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -583010 and 16?\nAnswer: -9328160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*l**3\/13 - 3488*l**2\/13 - 2670*l\/13 - 504\/13.\nAnswer: 2*(l - 28)*(8*l + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/598 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let q(u) = 11*u - 4 - 7 + 5. Let j(i) = i - 1. Let s(n) = 6*j(n) - q(n). Give s(o(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94415 is divided by 30595?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/2445 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 3)*(6*m - 3*m - 2*m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -77*d**3\/3 + 535*d**2 - 14412*d. Calculate j(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z. Suppose -2*g - g = -j - 28, 3*g - 4*j = 40. Let y(k) = -k. Let i(w) = g*y(w) - o(w). Give i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114) + sqrt(114)*3)))*5*3*6)\/(1*(sqrt(216) + (-4*sqrt(216) - sqrt(216)))*3))**2.\nAnswer: 4275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278.93037 microseconds to minutes.\nAnswer: 0.0000046488395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + 0.08000076. What is g rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**5\/6 + 85*r**4\/6 - 145*r**3\/2 + 455*r**2\/6 + 490*r\/3 = 0.\nAnswer: -1, 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -52*l. Let s(x) = -9*x**2. What is s(k(u))?\nAnswer: -24336*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let l(b) = -3*b + 2. Calculate -3*i(s) + l(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 6, x: 3, d: 2}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/4 + -11\/20. Which is the nearest to 1\/3? (a) 1\/2 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20498.6 - -20499. Is 3955 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2792192.7 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3987\/16 and 248 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 4, -2 in descending order.\nAnswer: 103, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42953 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0107947954 to 4 decimal places.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17834658197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682 a factor of 51869520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*v - 52, q + 4*v - 44 = -6. Calculate the common denominator of 1\/20 and 333\/21*5\/q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - -1)\/(-98))\/((-91)\/637) + 183\/(-1428)\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b. Suppose 10 = 5*u - 15. Let x(q) = 4*q**3 - 10 - 3278*q + 3277*q - u*q**3. What is x(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3937.48 hours to nanoseconds.\nAnswer: 14174928000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q + 7. Let v(z) be the second derivative of z**4\/24 - z**3\/2 - 9*z**2 - 24*z. Let i(s) be the first derivative of v(s). What is -5*i(c) - 2*k(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2. Let l(s) be the third derivative of s**4\/8 + 2*s**2. What is d(l(v))?\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2246, 4514, 6782?\n\"Answer: 2268*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935970071?\nAnswer: 17, 55057063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Suppose -5560 = p*l - 3*l. Let x = l + -100105\/18. What is the common denominator of x and 89\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let l(o) = 59*o. Give n(l(s)).\nAnswer: 3481*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -629 (base 10) to base 2.\nAnswer: -1001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9108\/2970*(-30)\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h**3\/3 - 2750*h**2\/3 + 7462*h\/3 + 13640\/3 = 0. Calculate h.\nAnswer: -5\/4, 4, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cici. What is prob of picking 2 i and 1 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-3)\/12*-102). Let l = 1458 + -1459. What is the nearest to 2 in l, -0.6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925491410?\nAnswer: 2, 5, 307, 301463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -91.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321 - 170. What are the prime factors of f?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 87*g - 213*g + g**2 - 559*g - 271*g to the form n*g + s + x*g**2 and give n.\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 34. Suppose -10 = r*f - 7. Is ((-45)\/f)\/(6\/8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16*s**2. Suppose 0 = -4*b + 5*x + 1, 0*b - 4*x - 6 = 2*b. Is 8 a factor of p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + 3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 16*l**2 - 8*l**2 - 53*l**2 in the form a + f*l**2 + u*l and give f.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*3*2)\/sqrt(12) + 5*(sqrt(75) + 3))**2*3.\nAnswer: 2790*sqrt(3) + 9324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m + 2*m. Let l be ((-10)\/m)\/((-4)\/12). Suppose 4*h - 554 - 42 = 4*y, -3*y + 729 = l*h. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -3 + (69 - (69 - -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 973857920 and 4480?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 77558 (c) -1 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030161 years in millennia?\nAnswer: 0.0000030161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 2 + -2 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 45 = -5*p - 3*k, 9 = p + 5*k. What is the remainder when 17 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 + 158. Suppose -56 = h + 2*p, 18*h = 13*h - 4*p - 268. Let u = t + h. Solve 0*i + 18 = -u*g - 2*i, 0 = 2*g - 2*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:38 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -25947?\nAnswer: -129735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -4, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (-3 + -1 + -4 - -11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f. Let z(v) be the third derivative of v**7\/2520 - v**4\/12 - 3*v**2. Let k(y) be the second derivative of z(y). Give n(k(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*s - 2*r, -4*s + 2*r = 4*r - 10. Solve 5*u = -5*d + 6 - 1, -29 = u - s*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 2*p - 4. Let g be 9 + 14 - (1 + 1). Let k be -3 + (g\/1)\/3. What is o(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91248 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 57\/2. Let p = 0.7 - 0.8. Let z = p - -0.01. What is the third smallest value in z, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.5 (c) 60 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 21?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 + 0*y**2 + 3*y**2. Let l(p) = -211 - 3*p + 211. What is o(l(d))?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -52. Suppose -22 = -5*t + w. Suppose 5*j = 12 + t. Solve d - j*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 27 = -36 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/2)*u**5*(u**8\/u)\/u*u*u**(2\/9)*u)\/(u**(1\/2)*u*u**(2\/17))**(9\/2) assuming u is positive.\nAnswer: u**(1495\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30639577519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -246*k**2 + 242*k + 4 = 0.\nAnswer: -2\/123, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) - 1\/2. Suppose 2*l - 6*l = g. Suppose l = -i + 4*i - 3, 20 = 2*p - 2*i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3\/6 - 15*z**2\/2 - 6*z. Let t be s(0). Is 5\/(t\/6) + 179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 66. Find the second derivative of 28*z**3 - 28*z**3 - 22*z + i*z**4 - 43*z**4 wrt z.\nAnswer: -372*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 621670923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 220785706 to the power of 1\/3, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k = 88*k - 300*k + 92*k + 8772 for k.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 17*k**2 + 34*k + 4. Determine g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-3))\/k*(k\/(k*k**2)*k)\/k*((k\/k**(-1))\/k)**(-12))\/((k\/(k\/k**(-2)))\/(k**(2\/5)\/k)*k**(-1\/4)\/(k*k**3\/k)) assuming k is positive.\nAnswer: k**(-107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 - 91 + 29 - 8*t**2 + 2*t - 2*t**2 - 2*t + (0*t - 3*t + t)*(-t - 4*t + 3*t) - 2*t + 2*t - t**2 to the form q*t**2 + j*t + o and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186404.\nAnswer: 2, 46601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 129 = -6*j. Let r = -12 + j. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*l = 155, 7*i + 25310*l + 195 = 25308*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*(-15 + 19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-9)\/(-4)) + 1. Let g(n) = n**2 + 2*n - 3. Let r be g(-4). Which is the second smallest value? (a) r (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 14) in base 3?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**2. Let p(j) = -j - 4. Let x(s) = 1. Let f(n) = p(n) + 4*x(n). Calculate f(i(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846790455 to the nearest integer?\nAnswer: 29100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-63) + (-19392)\/8064.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-6) + (-221)\/1326. Which is bigger: g or 2\/14615?\nAnswer: 2\/14615","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 6417?\nAnswer: 6417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -71, -311, -783, -1565, -2735, -4371?\nAnswer: -6551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461243 is divided by 1165?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16462088 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**3\/6 - s**2\/2 + 2*s. Suppose 20 = -4*x + f, -3*f + 8 = -f. Calculate u(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 8*p**2 - 9*p + 4. Let s be b(-9). Suppose -s*g - 4 = -12. Solve g*t - 6 = 5*v, 3*v - v + 4*t = -12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51374 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611897750*b - 611897742*b + 1223795495*b - 19*b**3.\nAnswer: -19*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**3 + 3245*l**2 + 3282525*l - 3285765 = 0 for l.\nAnswer: -549, 1, 1197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:10 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1233029, 2, 5 in ascending order.\nAnswer: 2, 5, 1233029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/30 and 77\/496.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 1\/2 (c) 2\/19 (d) 44.9 (e) 9 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*g = -430, 4*f - 156 = 4*g + 204. Suppose -5*c = -c - f. Let n = -5 + 13. What is the least common multiple of c and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 8:28 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/25 (b) -1\/5 (c) -3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45890815 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: In base 8, what is 4 - -354?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1285 - 774. Let h = 512 - z. Let m = -1 - -1.2. Which is the second smallest value? (a) 3 (b) h (c) -2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 1:04 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - m - 0 + 12, -p - m + 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0)**(2\/9))**(-27\/5) assuming l is positive.\nAnswer: l**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120615 - 120628.6473. Let q = -0.0273 - x. Let w = q - 0.62. Which is greater: w or 3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08499087074 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 394728537 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xhxhxxhxxhhxhhhxxhh?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-15.41.\nAnswer: -0.1541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13519\/6 - -2253. Let h = 261\/3664 + -2\/229. Which is the third smallest value? (a) -4 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2590 or -2591?\nAnswer: -2591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**7\/210 + b**4\/4 + 9*b**2\/2 + 8*b. Let h(g) be the first derivative of r(g). Find the second derivative of h(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.267 * -8.07.\nAnswer: -10.22469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 18*w**2 + 23*w - 16*w - 7*w.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119553799 * -3.\nAnswer: -358661397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3243, 3414, 3583, 3750?\nAnswer: 3915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113009672.\nAnswer: 2, 23, 614183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/33, -1.6, -0.2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.84*-10\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -22555*g**2 - 24*g - 12. Let s(l) = 21517470*l**2 + 22902*l + 11451. Give 4*s(p) + 3817*x(p).\nAnswer: -22555*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14832)\/17304*28\/26?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14224?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(5*2*sqrt(130) + sqrt(130)))\/(sqrt(490) + -3*(sqrt(490)*-2 + sqrt(490) - sqrt(490))))**2*-3 + 3.\nAnswer: -110772\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - z = 4*k - 250, 3*z = -5*k + 1258. Let m be (12\/(-5))\/(1\/65). Let l = m + k. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23956*s**3 - 31182429*s + 31182429*s)*(-3 + 0 + 4).\nAnswer: 23956*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 4*g + 2*g + (-48 + 2 - 45)*(0 + 0 - 3*g) as o*g + f and give o.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/18)\/(11\/((-33)\/2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2734 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 value of -5 - ((3 - 4) + -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*m*m**17*m*(m\/m**(-1\/29))\/m*m\/m**(2\/7) assuming m is positive.\nAnswer: m**(5633\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1135, -2276, -3417, -4558, -5699?\nAnswer: -6840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98269.85 millilitres to litres.\nAnswer: 98.26985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7*n)**(3\/4) assuming n is positive.\nAnswer: n**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.15 + 0.15. Let p = -0.36 + 3.16. Let m = 3 - p. Which is the nearest to m? (a) 2\/5 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*i - 6*i - r, 5*i - 24*r + 26*r = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 7*o**2 - 9*o - 7. Let t(x) = x**3 + 2*x**2 + 3*x + 2. Determine 2*m(c) + 7*t(c).\nAnswer: 5*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + 60 + -3 + (4 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolloddfoooyyol. What is prob of picking 1 d and 1 l?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -i - 6*o + 9, 9 = 3*i - 3*o. What is the highest common factor of i and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 124\/155 - 116\/(-5). What is the nearest to 1\/4 in 5, 3, j, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 117*m*v**3 - 6*m*v**2*x**3 + 3*m*v + 2427*m*x**3 wrt v.\nAnswer: 351*m*v**2 - 12*m*v*x**3 + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-36) + (-104799450)\/135. What is the thousands digit of 2*(-3)\/(-8) - a\/528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjv when three letters picked without replacement from {j: 1, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {o: 10, p: 2, w: 3, i: 1, z: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iywc when four letters picked without replacement from {p: 1, w: 2, c: 1, y: 3, i: 5}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 1. Calculate m(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 13268.\nAnswer: 92876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/5 + 43436*h\/5 + 130326\/5 = 0. Calculate h.\nAnswer: -3, 21721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -8) + (-16 - -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -131611241 (base 7) to base 2\nAnswer: -100000010000101001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 972 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*l**4 + (-10 + 4*l**2 + 10)*(3*l**2 - 5*l**2 + 4*l**2) to d*l**2 + m*l + b*l**3 + s*l**4 + c and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -3*k, -l + 5 = k - 0*k. What is the common denominator of 31\/3 - k\/(-7) and 59\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1832, -3671, -5510, -7349, -9188?\nAnswer: -11027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16888?\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -8288?\nAnswer: 5801.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/136869 and 18\/7?\nAnswer: 958083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5184 * -0.4\nAnswer: 2073.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-5070) - 372\/260)*10\/(-8)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w - 15 = -20*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*sqrt(1377)*-5 - (sqrt(119)\/sqrt(567)*-6*5)**2.\nAnswer: -1350*sqrt(17) - 1700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 3*v**2 - 2*v - 4. Let u be f(-3). Let n(w) = -1 - 3*w**2 + u*w**2 + w + 3 + 0. Calculate n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -1\/3*f**4 + 0 - 16*f**3 - 288*f**2 + 8*f. Suppose m(t) = 0. Calculate t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/15 and (-6)\/9 - 264\/9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 22*l = 991. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**(2\/77)\/q)\/q*q*q*q**18\/q assuming q is positive.\nAnswer: q**(1388\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**2*w**4 + 175*g**2*w**2 - 7*g*w**4 - 426*w**3 - 2649*w**2 wrt w?\nAnswer: -192*g**2*w - 168*g*w - 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 19*h - 61. Let i(s) = -4*s**2 + 75*s - 245. Let f(g) = -8*g**3 + 2*g**2 + 2*g - 2. Let u be f(1). Let l(r) = u*i(r) + 22*j(r). Factor l(b).\nAnswer: 2*(b - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1804 divide 159748370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912.1984 kilograms to tonnes.\nAnswer: 0.9121984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 451 + 393. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 559 or 913?\nAnswer: 913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 527 or 526?\nAnswer: 527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 15*k + 103. Suppose 4*g - 115 = -5*z, 2*z = -2*g + 5*g - 92. What is the remainder when h(-11) is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 127.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/3 - j**3\/6 + 29*j**2 + 2. Calculate k(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 2*k - 5. Let j be i(0). Suppose 11*m - m + 10 = 0. Let p = m + j. What is the closest to -1\/2 in -4, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/4)\/p**(2\/5)*(p*(p*p**1)\/p)**(-1\/41) assuming p is positive.\nAnswer: p**(-163\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/24 + c**3\/2 + 6*c**2. Let g(o) = -619*o + 208*o + 200*o + 210*o. What is x(g(t))?\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.3 (c) -2\/403 (d) -23 (e) 10.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 21, 56, 105, 168, 245?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3)*(-1 + -2). Let o be ((-6)\/9)\/(f\/(-18)). What is the least common multiple of (-31)\/(-4) + o\/(-12) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 - 1568\/70)*25\/(-105)*3. Suppose 0 = 2*q - 4*i + 3*i - 14, 2*q = -i + 18. Is t >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -5*b**4\/12 - 215*b**3\/3 + 1880*b**2 + 4*b - 323. Factor d(f).\nAnswer: -5*(f - 8)*(f + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21174123 less than -21174123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - s - 10. Suppose -106 = 5*w - 86, 9*f - 5*w = 101. Solve s + 4 = f*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14886118?\nAnswer: 2, 13, 17, 33679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 648374 rounded to the nearest one hundred?\nAnswer: 648400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 1236?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 6.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2156759 to three dps.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15325?\nAnswer: 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -6, 0, -4, -43\/4, 2\/9 in descending order.\nAnswer: 2\/9, 0, -6\/11, -4, -6, -43\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*p + 2461*p**3 + 171*p + 1524*p**3 + 1804*p**3.\nAnswer: 5789*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + -0.51. Let q = -41 - -36.7. Let s = 0.3 + q. Which is the second biggest value? (a) h (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b + 35*b + 13*b + (3 - 1 + 0)*(0*b - 2*b - 3*b) as l + u*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 596 + a?\nAnswer: 5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 363785 by 13.\nAnswer: 363785\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/12 - 25*r**3\/6 - 21*r**2\/2 - 6*r. Let q be f(-24). Suppose -q - 9 = -2*o. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103216 - -887455109?\nAnswer: 887351893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at least -8774.962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1010011 (base 2) to base 14\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-1)*1\/(-18)*-87. What is the second smallest value in -0.5, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-7)\/105*(-3)\/(-2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 15696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5187620924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/19266?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 13*x**2 + 11. Let q be d(13). Let z(m) = 908*m**2 + 11*m + 11. Let v be z(q). Round v to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38087.5 - -0.4\nAnswer: 38087.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 16. Suppose -d + 4 = 4*u + 3*d, -4*d - 20 = o. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 10. Let x = 30 + -24. Let a be k(x). Let o(f) = -5*f**a + 2*f**2 + f**3 + 4*f**2 + f**2 + f - 3. What is o(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1231*y - 628*y - 605*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -89*v**2 + 5516*v + 82. Calculate i(62).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 41*i. Let v = 9 + 3. Suppose 9*y - v*y + 3 = i. Are -7 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5107 + 5107. Let d be (2 - (-4)\/14) + -2. Suppose -x - x = 0. Which is the nearest to z? (a) -5 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b + b**2 - 3*b - 4*b)*(15*b**2 - 12*b - 6*b**2 - 1 + 15*b) in the form h*b + o*b**3 + y*b**4 + v*b**2 + c and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 l when four letters picked without replacement from ooooolooolooooollool?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 745.5988 nanometers?\nAnswer: 0.0000007455988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 66 = 4*v + 6*j, -5*j - 5 = 0. Solve -o - 12 = -v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**2 - 18*u - 10. Let s(j) = -12*j**2 - 20*j - 11. Let a(d) = -6*b(d) + 5*s(d). Is a(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 - 5)*(-g**4 - 6*g**4 + g**4 + (-3*g + g + 0*g)*(-g**3 + g**3 - g**3)) to o*g**2 + k*g + c*g**4 + b + a*g**3 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 18100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-316))\/((-4)\/8). Let m = u - -67\/237. Let c = 3 - 1. What is the nearest to c in -0.3, m, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - -0.2. Let r = -1.62 - n. Which is the biggest value? (a) -2\/5 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) 1\/5 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + -654?\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 6*g**2 + 9*g - 6. Let z be t(6). Let w = 2 + 2. Suppose w*s - z - 8 = 0. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 4.1, -18, 2747.\nAnswer: -20, -18, 4.1, 2747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14124106*j**2 + 7856*j - 11784. Let b(a) = 10790*a**2 + 6*a - 9. Determine -3928*b(u) + 3*c(u).\nAnswer: -10802*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 468 - 466. Let p be (0 + 17\/4)*4. Suppose 4*k = h - 0*k - p, 4*h = 3*k + 107. Solve -5*c - h = -2*x, -17 = 3*c - 3*x + w*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617 + 875 = 129*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 802, 1178, 1538, 1882?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76\/7? (a) -21 (b) -108 (c) -18\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-27)*h**(-44)\/h*(h**(-40)*h)**(-29\/4) assuming h is positive.\nAnswer: h**(843\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 4*w**2 + 3*w - 11. Let g be b(-5). Put 1, -4, g, 5 in ascending order.\nAnswer: -4, g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -14*p**3 - 6*p**2 + 98*p - 91. Determine d(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 3*l - 3 = -3*z, -8 = 4*z - 2*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*o = 0, 7*z = -4*o + 7*o - o + 2*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*36\/45. Which is the closest to -0.1? (a) l (b) 6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 20*p - 95. Let g be r(11). Solve 0 = -0*q - 3*q, -4*f = g*q + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 1:44 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1187358 divided by 6.\nAnswer: 197893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29160, -50229, -71296, -92361, -113424, -134485, -155544?\nAnswer: -176601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*v - 2. Let u = -4.139 - -4.177. What is the closest to u in 1\/2, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8588, 0.2, 3\/7, 0.6, -2\/17 in ascending order.\nAnswer: -2\/17, 0.2, 3\/7, 0.6, 8588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 18281*z**3 + 1 + 18288*z**3 - 346*z.\nAnswer: 7*z**3 - 346*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -13 + (2 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 1 + 4. Let g be d + 7\/((-7)\/(-3)). Suppose 5*q + 4*c = 1135, -q - g*c + 72 = -171. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14. Suppose 0 = 2*g + h*g - 10. Suppose 4*n = 3*t + 21, g*t - 2 = -n + 6. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4137\/(-60282))\/(1 + 11\/(-4))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 equal to -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5857 - 360 - 17198 = -223*b for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 12. Let u(l) be the second derivative of 0 - 1\/3*l**3 - l**2 - s*l. What is the first derivative of u(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 9*b**5\/70 + b**4\/14 - 8*b**3\/21 - 4*b**2\/7 - 7*b. Suppose k(a) = 0. Calculate a.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 12 + 4, -3*n + 4369 = 5*k. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by (-56)\/(-14)*(-16)\/(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2\/4 + 100139*o\/4 - 100141\/2 = 0?\nAnswer: -100141, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 7*t + 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 450255937, 450255936, 450255935?\n\"Answer: -f + 450255938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21521871?\nAnswer: 3, 7, 341617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/4*4)\/(-1 - 0). What is the nearest to l in 1, 4, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 532*d - 1068*d - d**2 + 72 + 536*d in the form f*d + y + v*d**2 and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15*80\/24.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/3335 + 3317\/10005. What is the nearest to -2\/3 in c, -9, 43, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.22828 millilitres in litres?\nAnswer: 0.00922828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.49, 1.386, 0.5, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 5, -1, 32, 68, 3 in increasing order.\nAnswer: -35, -1, 3, 5, 32, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21389 - -21393. Which is the third smallest value? (a) z (b) 101 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p - 2*p + 32*p**2 + 3*p + (-2*p + 2*p - p)*(p - 4*p + 2*p) + 0*p**2 - 3*p**2 + p**2 + 0*p**2 - p**2 - p**2.\nAnswer: 29*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/784)\/((-85)\/272)*(-14)\/2248?\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n**3 + 3*n**4 + 11*n**3)*(14*n + 1549 - 1549 + 2*n - 3*n + 2*n + (4 + 1 - 3)*(-2*n - n + n) + 0*n - 2*n + n).\nAnswer: 30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121554098 divided by -37738?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-132)\/(-20) + (-9)\/15. Suppose 5*d + 9 = 3*p - 14, 2*p = d + s. Sort -1, -3, 2, d in descending order.\nAnswer: 2, -1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(-5 + (sqrt(252) + -1 + sqrt(252) - sqrt(252)))**2 + 5.\nAnswer: -432*sqrt(7) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*k**5 + 205289820*k**4 - 202615071299904*k**3 + 233785968419504*k**2 + 374058219031680*k - 62343025977600 = 0. Calculate k.\nAnswer: -1, 2\/13, 2, 1973940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 8983, 5, 0, 453 in descending order.\nAnswer: 8983, 453, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-897)\/(-230)*(-96)\/(-108).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -312, -1124, -2708, -5322, -9224, -14672, -21924?\n\"Answer: -43*c**3 + c**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqk when three letters picked without replacement from ppqqfyk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*(-12 - (-12420)\/1053).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46807808 rounded to four dps?\nAnswer: -0.4681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.35 - 40.35. Let y(h) = h**3 + 6*h**2 + 3*h - 1. Let k be y(-4). Which is the nearest to x? (a) k (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 105365400?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(7))\/sqrt(2) + sqrt(5) + sqrt(5) + -4.\nAnswer: -4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2887 + -2782. Calculate the greatest common factor of 1085 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + n**4 - 106*n + 0*n**2 - 2*n**2 + 104*n to z*n**4 + s*n + x*n**3 + o + l*n**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 8. Suppose -2*b = -b - 2. Let z = 4 + b. What is the least common multiple of k(z) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(5\/4))*q)\/q)\/(((q*q**3*q)\/q*q)\/q))**(-2\/29)*(q**(2\/5)*q\/q**5)\/(q**1)**(-19\/2) assuming q is positive.\nAnswer: q**(883\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -22 in increasing order.\nAnswer: -22, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -2)\/(-18 + 14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 7) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.091, -4, 4\/9?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(24)*-3)\/sqrt(2))\/(sqrt(40)\/((sqrt(90)\/sqrt(3))\/sqrt(3))))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 5251 + 6901. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 7*i**2 + 6. Let p be z(7). Let r(s) = 2*s. Let o be r(2). Let w = p - o. Solve 0 = -5*g - h - 13, -2*h = -w*g - 0*h + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 7*n - 8. Let v be r(-9). Let h = -290 - -264. Are h and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4507?\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366855?\nAnswer: 5, 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecjkbkh. Give prob of picking 1 e and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:56 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2708.8 - -2709. What is the third biggest value in o, -2, -0.03, -153?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6390168 is divided by 2902?\nAnswer: 2866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4028121 - 29872936. Let z = o + 38244815. Suppose 0*n = -4*n + z. What is n rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 150. Let n be w(0). Let f = 316 + n. Suppose l = p + 6*l - f, -4*p = 5*l - 664. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196722d (base 14) to base 9\nAnswer: 25664451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85 - 71) + (-6 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 327615, 327824, 328033?\nAnswer: 328242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -50 - 10. Let f = -6 - b. Differentiate -6*z + 1 + 6*z + 0*z**3 - f*z**3 with respect to z.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.53901 micrograms in kilograms?\nAnswer: 0.00000007153901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18782, -40862, -69528, -108074, -159794?\n\"Answer: -549*y**3 + y**2 - 18240*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 10*z**2 - 20*z + 19. Let b be f(8). Let y(q) = -9*q + 16. List the prime factors of y(b).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49*(-12358)\/(-8183) + -8?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(3\/(3*-1)). Suppose 3*x + 2*x + 2*r - 28 = n, x - r = 0. Suppose -5*j + 114 = -0*j + 89. Calculate the remainder when j is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -75, -57, -13, 69, 201, 395, 663?\n\"Answer: 2*i**3 + i**2 + i - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let k = 0.215 - 0.615. What is the biggest value in k, m, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 701174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1287*m**4 - 2744*m**4 + m**5 + 2233*m - 1103*m**4 - 582*m**4 - 2*m**2 wrt m?\nAnswer: 60*m**2 - 137184*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -26*a + 29*a. Suppose -6*f = a*f. Solve f = 3*x - 5*c - 12, 3*c + 11 = x - 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (96 - 5)*42\/49. Suppose 23*h - 474 = b. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*i + j + 628 = 0, 5*i = -3*j + 3148. Let p = -2349 + i. Is 6\/(-39) + p\/(-26) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-28)*-20 + 8. What is the second derivative of l + 19*w**2 + 3*w + 0*w + 2*w**3 - 5*w wrt w?\nAnswer: 12*w + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 3*f + 16 - 2*f + f.\nAnswer: -4*f + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -n + 175, a = -n - 15 + 102. What is the smallest common multiple of 4 and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2254.09 - -2254. Which is smaller: n or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -5*w. Sort 0, 5, w.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 4:26 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605, 4787, 16143, 38261, 74729, 129135, 205067, 306113?\nAnswer: 435861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = m + 2*k, 0 = -m - 4*k + 5 - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.203, 3, 5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 7 = 17. Suppose 3*t = p*m - 348, 3*m - 4*m + 5*t + 96 = 0. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101100 (base 2) to base 4\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6487682 is divided by 739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z - 31*z**2 - 6*z**2 + 13*z - 19*z**2 to y*z + h + s*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*a = 90*a - 280*a + 99*a - 46*m - 192, 2*a = -m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*b + 14, 5*b = 3*t + 3 - 10. Is -2 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910560.4ml in litres?\nAnswer: 910.5604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, e: 1, s: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -238222 times -37.4\nAnswer: 8909502.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -405.9? (a) 0.02 (b) -2\/7 (c) 5 (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.4. Let j = -0.2 + u. Suppose -6*p + p - 5 = 0. Which is the nearest to p? (a) -4 (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -98, -2, 94?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83821 or 83815?\nAnswer: 83815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 15. Let h be (-3)\/6*6\/3. What is the second biggest value in h, a, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 877*x**5\/2 + 1293*x**3 + 11261*x. What is the second derivative of c(m) wrt m?\nAnswer: 52620*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l - 4*l - 2*l)*(-110*l - 19*l**3 + 110*l - 2) to the form r*l**3 + d*l + x + b*l**4 + v*l**2 and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -161, -183, -205, -227?\n\"Answer: -22*k - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286479973 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3952 - -59.3448. What is g rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-17))\/(-2 - 0). What are the prime factors of -3 + m + 3 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaar when four letters picked without replacement from aaparaaaaaraaparrra.\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277146 is divided by 69286.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 11*x**2 - 9*x + 4. Let k be u(10). Let s be (-2)\/(-1*2\/(-4)). Is 8 a factor of s\/k + 780\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.036634 - -95.751366. Round n to zero decimal places.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**4 + 44*l**3 + 305*l**2 - 450*l.\nAnswer: -l*(l - 10)*(l + 5)*(7*l - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 831\/7 + -119. Let n = 243\/4 + -61. Sort -4, n, g in increasing order.\nAnswer: -4, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 1 - 21. Suppose 214 - 214 = 53*r. Put -4, -1, z, r in increasing order.\nAnswer: z, -4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 - 17 = 20*k - 0*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10528*h - 31683 + 2994*h + 31683 in the form z + f*h and give f.\nAnswer: 13522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + f + 0)*(7*f**3 - 5*f**3 - 9*f**3)*(-2 + 1 - 2)*(-1 - 4 + 0)*(-4 + 8 + 6)*(-1 + 2 + 0)*(3*f + 2*f - 2*f).\nAnswer: -3150*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300 + 3403?\nAnswer: 4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5196.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1685886*-0.163.\nAnswer: -0.0274799418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - s = 36. Suppose s*o - 870 = -o. List the prime factors of o.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 10*j - 4. Let n be c(-8). Suppose -2 = f + n. Let m = -6 - f. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4313 and 44\/2223.\nAnswer: 504621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*a. Suppose -15 = -5*t - 4*b, -4*t + 2*b + 12 = -0. What is the remainder when t is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = 2*m, 4*m = -4*k - 2 - 2. Solve m = 3*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = o, 0*o - 12 = -4*o - z. Let r(s) = -2*s**2 + 2*s**2 - 3*s**2 - 2*s**o. Let i(n) be the second derivative of -n**3\/6 + n. Determine i(r(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -36, -4, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -5747868 and -5747901 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58322?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.108 + 58.892. Let h = l + -58.979. Let o = 0.321 - h. Which is the second biggest value? (a) o (b) -1 (c) -0.3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150 + 153. Let d = 22 - j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 (base 11) in base 7?\nAnswer: -1466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**7\/105 - i**6\/12 - 4*i**5\/15 - i**4\/3 + 17*i**2\/2 - 14. Let u(k) be the second derivative of r(k). Factor u(b).\nAnswer: -2*b*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3*k = -5*u - 28, 6 = -5*k - 4*u. Let d(i) be the first derivative of -i + 3\/2*i**k + 2. What is the derivative of d(v) wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021 - 10201222212201?\nAnswer: -10201222200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -159, -5 in descending order.\nAnswer: 4, -5, -11, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/27 (b) -0.36 (c) 190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n + 2. Let r be i(0). What is the lowest common multiple of (-1 - -5) + 8\/4 and (-36)\/(-8)*r*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.41 and -0.3.\nAnswer: 1.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44704 = -5*g + 2*d + 306658, 3*d = g - 52383. List the prime factors of g.\nAnswer: 2, 3, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*-2)\/(2 + -1). Let j(p) = -3*p**2 + 3*p. Let i(m) = 13*m**2 - 13*m + 1. Suppose 36 = -11*o - 63. What is h*i(a) + o*j(a)?\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 1.6, -1.5, 0.085?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305849802 to the power of 1\/3, to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 1510899 - 4532685 + 1510896 + 1510890 + i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from 335907406.\nAnswer: 335907405.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) + 5\/((-45)\/(-12)). Suppose 5*v - g + 4 - 28 = 0, -g = v. Suppose 0 = v*p - 7 - a. Solve 4*o + 5 = -p*b + 1, b = 4*o + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s + 25*s + 4*s - 2*s**2 + 0*s**2 to the form r*s**2 + c + a*s and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 2\/1)*-3. Let s = 2.7 + 0.3. Let g = s - 2.9. Which is the nearest to g? (a) 0.3 (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 313?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 - 59262066*w + 292666038882363 = 0 for w.\nAnswer: 9877011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 33. Let i = n + -14. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119150?\nAnswer: 2, 5, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4829, -4827, -4825?\nAnswer: -4823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 3*s - 3. Let g be -6 - (6 + -2 + -2). Let y be -4 - g - 2*-1. Suppose -4 = -2*x + 4*x - 5*t, 5*t + y = -3*x. Determine k(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1217*s - 1205*s + 200040000 = 0. Round s to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1032744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 72.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 2. Find the common denominator of -47\/2 and (-375)\/(-18)*4\/g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10248 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -5*o + 3*o**3 + 3 - 4*o**3 - 2 - 7. Find the first derivative of j(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Let w be -3*4\/(-6)*c. Suppose g + w = 5*g. Solve d + g + 0 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {e: 13, l: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 602 divide 166629386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 885 = -15*x. Suppose -2*k - 4*d = -56, -7 = -2*k - 5*d + 46. What is the first derivative of -9*z**4 - k*z**4 + x - 17 wrt z?\nAnswer: -172*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzbxblzjllblklx. What is prob of picking 3 j and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 16*f - 10*f + 0*f)*(43*f**2 - 37*f**2 + 119*f**2 + f**3).\nAnswer: 6*f**4 + 754*f**3 + 500*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -5*r**2\/2 + 6*r - 7. Let w(d) = 6*d - 7. Let i = -42 - -37. Calculate i*s(b) - 4*w(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(8\/3)*b)**(-48) assuming b is positive.\nAnswer: b**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.24, -0.3, -18, 0.3, -3 in descending order.\nAnswer: 0.3, -0.24, -0.3, -2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -43*p + 1. Let c be m(-1). Let t be (-1)\/2 + c\/8. Suppose 5*x - 60 = -x. Solve s = t*y - s - x, 8 = 4*y + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 6*j = -2*s + 5, -3*j - 16 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7177 = 4*f, 3*f - 3593 = f - 5*o. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*m - 21 = 0, -3*b + 4*m + 8 = -11. Suppose -d - b*n = -0*n - 265, 3*n - 530 = -2*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*r - 31, -2*j + 33 = 6*r - 1. What is the lowest common multiple of j and 12546?\nAnswer: 50184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 0*b - 3*b. Let j(r) be the third derivative of r**4\/24 - 3*r**2. What is w(j(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 2830\nAnswer: -4\/1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.1 + -0.1. Let l = d - 4. Sort -1, 0.1, l in decreasing order.\nAnswer: l, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - q**3 - 2*q**3)*(117*q**2 + 520*q**2 - 327*q**2 + 965*q**2).\nAnswer: 1275*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {l: 1, u: 1, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 1. Let t(l) = -4*l + 1. Let w(d) = -5*h(d) + t(d). Let a = 8 - 13. What is w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3))**48*(o\/o**(-2))**4 assuming o is positive.\nAnswer: o**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4 + 4)\/(-4))\/(-2). Let j be (8\/(-4) - -4) + g. Let b(k) = 2*k**2 + 0*k - 3*k**j + 2 - 2*k. Determine b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26786693.\nAnswer: 73, 366941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-21))\/(5355\/462315)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52976101 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3794091.\nAnswer: 3, 7, 19, 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 24 = -564*y - 1094 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30132*w**2 - 2*w + 52286 + 3*w - 52289.\nAnswer: -30132*w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29838598 - -8.\nAnswer: -29838590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 16. Calculate the remainder when 13 is divided by (-2)\/t - (-102)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 12*u**2 + 19.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1043487 and 207.\nAnswer: 1043487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 530 - 4*w - 530)*(-356*w + 356*w + 362*w**2) to the form i*w + j*w**2 + r*w**3 + g and give r.\nAnswer: -2534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 2. Suppose 0 = 3*z - 1 + 4. Let w be a(z). Let m(v) = -5*v**2 - v + 4. Let k(l) = -9*l**2 - l + 7. Give w*k(c) - 7*m(c).\nAnswer: -c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = -0. Let z be c\/4 - (-6)\/(-3). What is the closest to 2\/11 in z, 4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.05 (b) 0.8 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 4253856*c**2\/7 + 323129586390*c + 4523831224900\/7.\nAnswer: 2*(c - 1063465)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44, 174, 354, 554, 744, 894, 974?\n\"Answer: -5*z**3 + 55*z**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -10*w + 1\/16*w**4 + 0 + 1\/240*w**6 + 0*w**2 - 1\/2*w**3 + 1\/40*w**5. Let b(q) be the second derivative of r(q). Factor b(s).\nAnswer: 3*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - q - 15. Suppose 3*h + 3*z - 24 = 0, -2*h - 2*h - q*z = -31. What is the lowest common multiple of h and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -492.2 + 492. What is the closest to -3 in y, -6, 3\/2, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 16441 = -5*n + 2*z, -10964 = -2*n + 3*z. List the prime factors of n.\nAnswer: 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-18)*114\/(-133)*14\/(-135)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1227\/7 + 351*f + 1233\/7*f**2 + 3\/7*f**3 = 0.\nAnswer: -409, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0245 (b) -0.5 (c) 2\/7 (d) -3\/7 (e) -5 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1771296?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7745726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421 a factor of 434784126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/9 + 6587308*p\/9 - 5424078335858\/9 = 0. Calculate p.\nAnswer: 1646827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -11 - (-1519)\/147\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.12 + 2.32. Let o = 6 - 8. Sort o, q, 0.5 in decreasing order.\nAnswer: 0.5, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-228)\/(-54) + 4626\/2511 + -2.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111000010101100101100 + 101?\nAnswer: -111111000010101100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 31 = 3*x + 1, -4*x = -2*t + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 7.\nAnswer: -81\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(80) + -1 - sqrt(80)) + 2 + 2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.037*1.8\nAnswer: 0.0666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1767*r. Let u(c) = 68*c. Let f(n) = -6*g(n) - 155*u(n). Let y(i) = -2*i. Determine f(y(t)).\nAnswer: -124*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g. Suppose 2*u - 7*u - 60 = g. Let z = u + 49. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 14*j**2 + 15*j + 19. Let r be q(15). Suppose -r = -9*k + 134. Differentiate 4 - 6*m**4 + 1 - k*m**4 wrt m.\nAnswer: -92*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o - 5*o)*(-4*o - 3*o + 4*o)*(0*o**3 - 2*o**3 + o**3).\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010 + -1110111?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -4, 0, 11, -22 in increasing order.\nAnswer: -22, -4, -3, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o - 3*o + 4*o - 2*o - 64*o**2 - 12. Let y(c) = 64*c**2 - 3*c + 10. Let w(f) = -3*s(f) - 4*y(f). What is the first derivative of w(p) wrt p?\nAnswer: -128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9*y + 16. Let h be j(-17). Suppose -3*z = -h + 4. What is the greatest common factor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x + 17. Let f(r) be the first derivative of 111*r**2\/2 + 171*r - 8. Let b(n) = -2*f(n) + 21*k(n). Find the first derivative of b(q) wrt q.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.3478 to one decimal place.\nAnswer: -33.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1423, 5716, 12871, 22888, 35767, 51508, 70111?\nAnswer: 91576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + 6 - 6)*(-2*x - 2*x + x)*(-12*x + 21*x - 12*x + 11).\nAnswer: 45*x**4 - 165*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203696 - 62079. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55541759.9 to the nearest one hundred thousand.\nAnswer: 55500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (10 + -6)*(-1730)\/(-8) is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 5968841*k**2\/4 + 2984421*k\/2.\nAnswer: -k*(k - 1)*(k + 5968842)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134467691929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 16*u. Solve u = -w - w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + w. Let s = 3 + -2. Let a = -14 + 10. Let j(x) = -x**2. Determine a*j(r) + s*q(r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 64.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-3))\/(-5)*-9. Let l be 6\/4*o\/(-9). Let j be 2*l - (1 - 1). What is the third smallest value in -5, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -2576\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/3)\/(2 - -2 - 7). Suppose i = 2*g - g + 5. Let h = 2 - 5. Put g, h, -4 in increasing order.\nAnswer: g, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-1) - -2 - -2. Suppose l = j - 2*j, -l + 5*j - 12 = 0. Let s be 2 + l - (-1)\/(-2). What is the closest to -2 in z, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*s + 437 = -81 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*g - 48, -2*j + 2*g + 3 + 21 = 0. Let c = -8 + j. Let m = c - 1. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 29. Give w(23).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + 3 + -1 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5. Suppose -1 - f = -p. What is the units digit of (p - 2\/(-2)) + 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 33, 78, 159, 288, 477?\n\"Answer: 2*y**3 + 7*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + i**2 + 3*i**2 + (-2*i + 2 - 2)*(3*i - 4*i + 3*i))*(-3 + 3 - i)*(9 - 7 - 21 + (-1 + 0 + 2)*(0 - 1 - 1))*(1 + 2 + 1).\nAnswer: -252*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 231? (a) 0.4 (b) 5 (c) 2\/13 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 + 7) - 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 1:48 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5033 = -12292. Suppose 0 = -30*z + 5*z + d. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -5. Let d = -64 + 103. Let t = d - a. What is the highest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -8, -19, -44, -89, -160?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 192776*k**2 + 385558*k - 192780.\nAnswer: -2*(k - 1)**2*(k + 96390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 7*y**2 + 5. What are the prime factors of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 272.132 and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = d - 6 + 3, 5*d - 15 = w. Let u(g) be the first derivative of -1\/2*g**2 + w*g**3 + 7\/16*g**4 + 4 + 0*g + 3\/20*g**5. Factor u(i).\nAnswer: i*(i + 1)*(i + 2)*(3*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**5 + 4*u**5 + 4*u**5)*(5 + 0 - 1).\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(((-45)\/20)\/9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62756434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -928.51\nAnswer: -371.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12110 - 1001210000212?\nAnswer: -1001202211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 3339.\nAnswer: -233.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3991596195.\nAnswer: 3, 5, 266106413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*a - 70*a = 5*s - 23, -a + 2*s = 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3039 (base 16) to base 14\nAnswer: 46db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 + 1661682*d - 230098922427 = 0 for d.\nAnswer: 276947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194418940?\nAnswer: 2, 5, 101, 109, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -5. Let z = 0.8 + w. Sort 2, -1\/6, z in ascending order.\nAnswer: z, -1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241 - 114?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1521342297?\nAnswer: 3, 56346011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2)**2 + -1 + sqrt(320)\/sqrt(4).\nAnswer: 4*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 12531?\nAnswer: 12533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(288) - sqrt(12)\/(sqrt(6)*-2).\nAnswer: 1 + 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -432 and 14?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 246*z**2 + 9852*z + 516. Give w(-40).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -573031 - -5?\nAnswer: -573026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**2\/2 - 10*w + 253. Let u(o) = -2*o**3 - 14*o**2 - o - 14. Let v be u(-7). Calculate m(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 - (2 - -9) - 4\/(-2). Which is smaller: -2\/1675 or n?\nAnswer: -2\/1675","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077478813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3100 divided by 5\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.927052 rounded to zero decimal places?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -5*a**8\/252 + 73*a**7\/105 - 1171*a**6\/180 + 154*a**5\/15 - 49*a**4\/9 + 3404*a**2. Solve k(v) = 0 for v.\nAnswer: 0, 2\/5, 1\/2, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9020212441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let s(n) = 3*n**2 + 9*n + 8. Let g(a) = -5*m(a) + s(a). Is g(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6917 - -6913. Put c, -2, -7 in increasing order.\nAnswer: -7, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a3 (base 12) in base 11?\nAnswer: -6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 4. Let b be (1 - 0)\/(c\/258). Suppose -2*u = -4*o + 92, -b - 62 = -5*o + 5*u. What is the greatest common factor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(57\/(-114))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 5:11 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4944 + 216547*n**2 - 2764*n**3 - 216547*n**2 wrt n.\nAnswer: -8292*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -297*g**2 - 2*g + 2. Let y be u(1). Round y to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x + 4*x. Let s be 1*(-6 - x) - -2. Let q(y) = y + 1. Let g(b) = -3. Determine s*q(k) - g(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 + 1. Let u be h(1). Suppose 2*x - 2*s - 4 = 4, 5*s + 20 = -u*x. Let f = 80 + x. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w - 6. Let s(h) = 4*h - 5. Let b(c) = 5*a(c) - 6*s(c). Let v(g) be the first derivative of 10 - 9\/2*g**2 + 0*g. Determine v(b(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjjjjjjajsjjjj.\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1278576 + 4469*n - 1278576 - 4478*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - m + 4. Let o(k) = k. Let q(j) = b(j) + 6*o(j). Suppose -6 = 6*z + 42. Let w be (-1)\/((z\/(-12))\/(-2)). Calculate q(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126.1*5.6.\nAnswer: 706.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -26. Let i = t + 71. Round i to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -41277*p + 536494. Determine x(13).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen ninths of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) + (sqrt(132)*-2 - sqrt(132)))*-6 + sqrt(132))\/(2*sqrt(192)) + (sqrt(11)*2 - sqrt(11)) + -1 + (-5*sqrt(88))\/sqrt(8).\nAnswer: -9*sqrt(11)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2. Let t(p) = -3170*p**2. Determine w(t(k)).\nAnswer: 10048900*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b0084d (base 16) in base 12?\nAnswer: 3a44239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**3*s**4 + 10*l**3 - 19*l*s**4 - 8*s**2 wrt s?\nAnswer: 120*l**3*s - 456*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17656525*j**2 + 2452889*j - 3 wrt j?\nAnswer: -35313050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 0. Calculate the smallest common multiple of d and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 5:23 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14214.35887 rounded to the nearest ten?\nAnswer: 14210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxtut. Give prob of sequence xx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.060568 days in milliseconds?\nAnswer: 350833075.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 8*b**3 + 16*b - 18*b - 7*b**3.\nAnswer: -15*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-85)\/(-20) - 2)*(-1088)\/(-6). Suppose 5*n - r - j = 0, 3*r + 2*r = 4*n - 318. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -8. Let w = g + 2.7. Let f(h) = -3*h + 69. Let x be f(23). Which is the nearest to w? (a) 0.3 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2616, 955, 6906, 15237, 25948?\nAnswer: 39039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 + 3. Let k(p) = -16*p**2 - 10. Let a(d) = -2*d**2 + 5*d + 4. Let u be a(5). Let b = 18 + u. Give b*k(n) - 10*x(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 216890251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7363474954 to the power of 1\/2, to the nearest integer?\nAnswer: 85811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 190080 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1865 * -1.842\nAnswer: -0.343533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -207*p - 2. Let l(m) = 312*m + 3. Let u(v) = -4*l(v) - 6*w(v). Let n(k) be the first derivative of -10*k**3\/3 + 1. Calculate u(n(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5. Let u(y) = -y**3 + 3*y**2 + g - 3*y**2 - y. Let b(d) = 5*d**3 + 3*d - 2. Let o(t) = -b(t) - 2*u(t). What is the second derivative of o(k) wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2634 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**2 + 11*x**2 - 8*x**3 + 15*x**2.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.8601772 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132212, -264424, -396636, -528848, -661060?\nAnswer: -793272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, g: 1, j: 1, h: 1, e: 3, p: 2}. What is prob of sequence jrrr?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2, 21, 4 in ascending order.\nAnswer: -3, -1, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 6\/(-4) - 87\/(-2). Let z = 74 - t. What is the remainder when 116 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8738816 greater than -26216452\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 931 + -927.935. Let l = u - 0.065. Sort -9, l, 0.1.\nAnswer: -9, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -5 (c) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25856 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5 (c) -6 (d) 0.7 (e) -1.1 (f) -20 (g) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*j. Solve -2*x - 3*x = j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 22 - 6. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j**3 + 681*j**2 + 63*j - 30. Determine s(62).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 60441.37 milliseconds?\nAnswer: 60441370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246693766*z**5 + 370713471*z**2 wrt z.\nAnswer: 14801625960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w + 5*k = -17615, 0 = 4*w - 3*k - 14092. Suppose -5*j + 5913 = -2*o, 3*j + 4*o = -o + w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 376\/(-2)*77\/(-28). Suppose 2*y - 153 = s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(416)\/(sqrt(32)*6 - sqrt(8)) - (-2*1*(sqrt(1300) + 0))**2.\nAnswer: -5200 + 2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 81*a**5\/20 - a**4\/6 + a**3\/3 + a**2\/2 + 10*a. What is the remainder when u(1) is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -22*k. Determine n(4).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 189, 251, 349, 495, 701, 979?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Let x(k) = -13*k - 2. Let u(g) = -220*g - 35. Let t(r) = 2*u(r) - 35*x(r). Let j(o) = -t(o) + 3*y(o). Does 11 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -108 - 9 - 713*v**2 - 39 - 97 + 253*v. Let w(a) = 17*a**2 - 6*a + 6. Let y(d) = 6*c(d) + 253*w(d). Let k(p) = -2*p**2. Determine y(k(b)).\nAnswer: 92*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 60*a - 2586. Let l be o(29). Let v(t) = 5*t**3 - 2. Let i(q) = -9*q**3 + q**2 - q + 5. Give l*v(u) - 2*i(u).\nAnswer: -7*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)**(-5\/9)*s*s*s**(-4\/3)*s**(2\/29) assuming s is positive.\nAnswer: s**(47\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148011613?\nAnswer: 857, 172709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/21 - 844*n\/21 - 282\/7.\nAnswer: 2*(n - 423)*(n + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227447 or -227445?\nAnswer: -227447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 5*n - 24. What is w(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 5. Let o = b - 0.8. Let k = o + -0.1816. What is k rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -126 - 444 + 18 - 550*j + 2*j**2 = 0?\nAnswer: -1, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.7174 take away -792.03083?\nAnswer: 968.74823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152401 and 13069127.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1437, -2866, -4295, -5724, -7153?\nAnswer: -8582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from monmomnooaoaa. What is prob of sequence moon?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 3*y - 2*r, 0 = -5*y - 4*r + 2*r + 652. Let a = y + 78. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 187, 259, 345, 451, 583, 747, 949?\nAnswer: 1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b*z**2 + 13551*b + 1869*z**3 + 2*z**2 + 34*z wrt z.\nAnswer: 10*b + 11214*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2166703 and 26543.\nAnswer: 275171281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16012.\nAnswer: 2, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 2) + -11 + (-1 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5.92. Let v = m - 0.07999792. Round v to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 3*s - 693 = 0. Let f be (7\/(s\/(-6)))\/((-2)\/6). Solve 0*i - f*i - 13 = 3*c, 3*i - 5*c = 28 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3555220072 to the nearest integer?\nAnswer: 59626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -13*s + 481. Calculate y(36).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -c + 4, 2*t + t - 3 = 0. Let u(a) = 729 + 3*a + 0*a**2 - 730 - 4*a - a**2. Calculate u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:10 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28300 and 63392.\nAnswer: 1584800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - -3) + 800\/(-240)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59405 and 22890.\nAnswer: 2495010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*t + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.492835.\nAnswer: 0.0492835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -6. Let v = h - 18.6. Let r = -1.5993 - v. What is r rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o + 3*c = 103 + 65, 0 = 5*o + 3*c - 32 + 65 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine fifths of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071 take away 4484?\nAnswer: -4484.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 246, 805, -1.\nAnswer: -1, 246, 805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -149, -146, -143, -140, -137?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 4*b - 4. Let q(p) = p - 1. Give a(z) - 4*q(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**1\/t))**(-26))**(-38)\/((t\/(t*t**0)*t**(-3\/4))\/((t\/t**7*t)\/(t**0*t))) assuming t is positive.\nAnswer: t**(7883\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 34. Calculate the remainder when n(5) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188998?\nAnswer: 2, 53, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77718 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*3)\/(sqrt(72)\/(sqrt(16)\/sqrt(2) + sqrt(8))))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54963*p**3 + 11999*p - 1 wrt p.\nAnswer: -329778*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-15))\/((-14)\/(-10710)*27)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117853854 and 696.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/14)\/(6\/8). Let i = 5\/131 - 608\/5633. Let g = 71\/215 - i. What is the third smallest value in 1, w, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 70*j**3 + 55*j**2 - 1135*j - 2435. Let h(z) = 5*z**3 + 4*z**2 - 81*z - 174. Let g(f) = 6*b(f) - 85*h(f). Factor g(w).\nAnswer: -5*(w - 4)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 10 - 2. Let g = -36 - -430. Let f = -346 + g. Calculate the greatest common divisor of m and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38191 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 + 0*q**3 + 0*q + 2\/3*q**4 - 4\/3*q**2.\nAnswer: 2*(q - 1)**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3*p - 390*m*p**2 - 654*p**2 wrt m.\nAnswer: 3*m**2*p - 390*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 98, 240, 446, 716, 1050, 1448?\n\"Answer: 32*a**2 - 18*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 10 + 17*i**3 - 6 to the form c*i**2 + p + u*i + q*i**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17005850 = 4*t - v + 17005852, -t + 6 = 3*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1124 - 4?\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + 4. Suppose n = 3*g - 2*g - 4*c, 3*g - c = 78. Calculate the greatest common divisor of g and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 9*v - 8. Let n = 224 - 324. Let l be 4\/(-6) - n\/15. Is t(l) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/27*1\/5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1179271\/12568770 - 16\/23895. Calculate the common denominator of 79\/20 and y.\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 20, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088617529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3759.3 - -5?\nAnswer: 3764.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342110 (base 6) to base 16.\nAnswer: -713a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, -10, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 5 - 43*o + 11.\nAnswer: -43*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.13971 kilograms to tonnes.\nAnswer: 0.03113971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.28 + -0.23. Let z = t - 0.05004. Round z to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/2 - 9367*o**4\/2 + 10951183*o**3 + 76817591*o**2 + 329435169*o\/2 + 197711721\/2 = 0.\nAnswer: -3, -1, 4687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 - 9 = 0. Suppose -3*u + f*k + 27 = 0, -4*u - 3*k = -45 - 20. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*1\/17*4\/(-6). Let f = -122 - -157. Let d = -14 + 17. What is the closest to f in -4, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16631 or 16654?\nAnswer: 16654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*u + 6. Let t = 0 + 0.2. Which is the closest to u? (a) -0.3 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 224 - 14110?\nAnswer: -13775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3133 + 214034?\nAnswer: 222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3807 divide 561702348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2. Let m(s) = 172 - 42*s**2 - 172. Calculate i(m(c)).\nAnswer: -1764*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*q + 19, u = 4*q - 2*u - 17. Is (0 - -179) + -2 + q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7074 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtqqrwwmwms. What is prob of sequence rwww?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(sqrt(196)\/sqrt(4)*4*-1)\/(sqrt(63)\/(-2*(sqrt(9) - sqrt(81) - sqrt(9)))).\nAnswer: -216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 94, 128, 162, 196, 230?\n\"Answer: 34*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*p + 40*p + 1404. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19 + -10.19. Let g be (-18)\/(-24)*2\/3. What is the nearest to y in -0.2, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-116 - 204 - 22)*(-k**2 - 4 + 4) in the form x + r*k**2 + t*k and give r.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -t - 3*t - 2, -t = 5*u + 32. Let f be u\/(35\/(-25)) + -154. Let w = -141 - f. Solve -4 = -2*n, 3*s + 0 = n - w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 4*a. Suppose -3*t - 2*y = -11, t + 2*y = -0*y + 5. Let i be x(t). What is the remainder when (0 - i\/(-3)) + 12 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**14\/d**(3\/7))**(6\/11))**(-7\/4) assuming d is positive.\nAnswer: d**(-285\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*o - 420*o - 411*o - 122 = 0 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98895131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9918593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 6*l**2 + 7*l + 6. Suppose 2*j - 14 = -4*w, w - 9 = 5*j - 0*j. Calculate the smallest common multiple of 1 + j + 9 + -3 and c(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/136942 and 73\/11908.\nAnswer: 273884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, s: 2, k: 2}. What is prob of picking 3 f?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxw when three letters picked without replacement from xmmyjjyw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269 is divided by 418?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 7 - q + 9 + (2 + 2*q - 2)*(1 - 3 - 10) - 2 + 2 + 2*q.\nAnswer: -23*q + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 52.8869 * -25\nAnswer: -1322.1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*y + 696 + 2456, y - 1566 = b. Let d = y - 984. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 22*s**2 - 555*s + 2118. Determine b(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(1\/2)))\/y)\/(y**(-2)\/y))\/(y**0*y**(2\/5)*y) assuming y is positive.\nAnswer: y**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*l - 13 - 67 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*sqrt(480))\/(sqrt(6) - (-2*sqrt(150) - sqrt(150) - sqrt(6))) - (3*sqrt(5) + 0 + 2 + sqrt(245))**2) + 5.\nAnswer: -494 - 660*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 56, -11 in decreasing order.\nAnswer: 56, 8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2338.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823*g - 12 + 12 - 824*g + 9449*g**2.\nAnswer: 9449*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17158046775 rounded to 3 decimal places?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50756485*o**3 - 152851364*o wrt o?\nAnswer: -304538910*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14964 (b) -936 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - ((66 - (-5530)\/(-98)) + (-4)\/7).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.45 - -1.05. What is the closest to k in -2\/7, -0.1, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 v when four letters picked without replacement from lvvvsjsvdv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 3)*(-1 + 1 + z) + (3*z + 5*z - 4*z)*(2 - 4 - 1).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2733*m + 2726*m + 21 = 0. Let r(t) be the third derivative of t**5\/60 - t**4\/8 - t**2. Determine r(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 8. Suppose 16 = n*v - 0. Suppose 5 = v*q + q. Calculate the smallest common multiple of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110000 (base 2) to base 12.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**3 - 536*d**2 - 66*d - 8851 wrt d?\nAnswer: -6*d**2 - 1072*d - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 776 - 3657728726\nAnswer: -3657727950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 3*o**2 + o - 1. Suppose 0 = -5*b - 5*q, -2*b + 4*q = -b - 10. Let y be 2\/b - (-1 + 0). Determine c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*x = 34, x - 3057 + 3102 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(117))\/(sqrt(9) + sqrt(27)\/(sqrt(3) + sqrt(48)) - sqrt(9))*-3 - (sqrt(104) - -2*sqrt(104)*1)\/((-1*sqrt(16))\/sqrt(2)))**2.\nAnswer: 51597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1577660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.75 + -0.25. Let k = -0.9 - -1.4. Which is the nearest to 1\/5? (a) o (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 61*m. Let r(a) = -4*a**2 + 2*a**2 + 7*a**2 + 157585*a - 157581*a. What is p(r(g))?\nAnswer: 305*g**2 + 244*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*q + 27. Suppose 0*o = -4*a - q*o + 32, 0 = -4*o. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899314 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o = -2. Suppose -138*s - 122*s + 2*s + 4128 = 0. What is the remainder when s is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 - -131. Suppose -6*a = -a. Sort -2, a, s in decreasing order.\nAnswer: s, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71673654, -71673656, -71673658, -71673660, -71673662, -71673664?\n\"Answer: -2*h - 71673652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*n + 4 = 0, 0 = 2*n - 8 + 2. Suppose -d*t = 3*t - 745. List the prime factors of t.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1737 + -3b1?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 412086*l - 824184.\nAnswer: 3*(l - 137364)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 7303*u**5\/5 + 856*u + 4699. Differentiate a(l) with respect to l.\nAnswer: 29212*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0212225797 to 5 decimal places.\nAnswer: -0.02122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4925 - t**3 - 7*t + 7*t + 247.\nAnswer: -t**3 - 4678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2 - -1)*0. Let j be 8*(-8)\/(-32) + -1 + 1. Sort a, -5, j in ascending order.\nAnswer: -5, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(3) + 5 + 3 + sqrt(48) + 0.\nAnswer: 5*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -l + 5*y - 0*y, 2*y = 2*l + 110. Let f be 544\/14 - (48\/l)\/6. Calculate the greatest common divisor of 78 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let o(h) be the second derivative of -4*h**3\/3 + h**2\/2 - 2*h. Let m = 671 - 665. Give m*d(b) - o(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 12:29 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8612)\/(-20) + 8\/20. Is s + (3 - 0 - 6)\/(-1) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**3\/3 + 3888. Let w(o) = -632*o. What is w(a(p))?\nAnswer: 632*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83692, 83670, 83648?\nAnswer: 83626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*t - 0*y + 304, -2*t = -y - 152. Let w = t + -28. Calculate the greatest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-608))\/(-20*14\/(-8960)).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27)*(-1764)\/(-168))\/((-3)\/(-18))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 21. Suppose -t = -h*s + 204001, -2*t = 2*s - 5*t - 136003. Round s to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2998*z**3 + z**2. Is l(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*l - 3*l + 52, -3 = -2*o + 3*l. Suppose 0 = -i + 5*x - 7, 5*x = 3*i - 10 - o. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8721+2\nAnswer: 8723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 81616.54 decades?\nAnswer: 816.1654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 1, y: 4, e: 1}. Give prob of sequence xe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*b + 8 = 0, -3*k - b + 24 = -7*k + 66 - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 33 = 2*g. Let v = 25 - g. Calculate the least common multiple of v and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -731*u**3 + 731*u**3 - 7696*u**4 + 782*u**4 + (3 + 1 - 2)*(0*u**4 - 2*u**4 + 4*u**4) in the form p*u**2 + s*u**4 + t*u**3 + q*u + m and give s.\nAnswer: -6910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 122, 126, 130, 134, 138, 142?\n\"Answer: 4*t + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -789095*q**4 - 109*q**3 - 342501518*q wrt q?\nAnswer: -9469140*q**2 - 654*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*m**3*s - 80*m**3 - 2*m**2*s - 13*m**2 - 1376*m*s - 201*s wrt m.\nAnswer: -186*m*s - 480*m - 4*s - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55227 nanometers in kilometers?\nAnswer: 0.00000000000055227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 64476*z**5 - 303390*z**4 - 536108*z**3 + 559928*z**2\/3 + 148272*z + 18624 = 0.\nAnswer: -3\/2, -2\/9, 388\/597, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466620 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*l = -43*l + 92*l - 24 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Let y(h) = 6*h**2 + 3*h - 6183. What is y(d(p))?\nAnswer: 24*p**4 + 6*p**2 - 6183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -11. Let d be -20*7\/(105\/c). Let f = 11 + d. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**4\/12 + 7*r**3\/6 - 8*r**2. Give k(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 248.21 + -247.50995. Let f = d - 0.7. What is f rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 j, and 1 r when four letters picked without replacement from rjggrjjjrrrj?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -328.42 + -1828\nAnswer: -2156.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*v**2 + 0*v**4 - 12 + 30*v**3 + 25*v + 0*v**4 + 20*v - 3*v**5.\nAnswer: -3*(v - 1)**4*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3020\/3 - -986. Let n = -17093471\/10240 + -237\/2048. Let t = n - -1679. Calculate the common denominator of l and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2392094.\nAnswer: 2, 29, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -10 (b) 13\/4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41283 + 41302 - (4 - 2 - ((1 - 2) + 10))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 5. Let t(b) = b**2 + 42*b + 419. Let i be t(-16). Let h = 11 + -8. Suppose -x = -s - 2, 2*s - h*x + 4 = i. Give y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 6*w**2 + 4. Let o be (0 - 1) + (0 - 5). Let v be g(o). Suppose 63 = v*t - 1. What is the lowest common multiple of t and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 13*c**2 + 9*c - 9*c + 8*c**3 - 28 to h*c**2 + j*c**3 + y*c + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (47 + -23) - (21 + -1) - 2 - -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*q + 227*q + 25*q + 460*q.\nAnswer: 1189*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/397544 and 37\/19236.\nAnswer: 1192632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(72) + -4 + -2.\nAnswer: -6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*a**2*g - 13729*a**2 - 647140*a*g**3 + 140*a wrt g?\nAnswer: -9*a**2 - 1941420*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551 = -4*z - 163. What is the remainder when 190 is divided by z?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/640 and 27\/28?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 6:13 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-j**2 + j**2 - j**2)*(21*j + 4*j + j) - 12*j**3 - 17*j + 17*j + (-2*j**3 + 3*j**3 - 4*j**3)*(-6 + 0 + 0).\nAnswer: -46*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 3097*s**4\/4 + 4790*s + 2493. Differentiate q(a) with respect to a.\nAnswer: 9291*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55836471, -55836463, -55836449, -55836429, -55836403?\n\"Answer: 3*k**2 - k - 55836473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*x + 138955 + 144690 = 3429*x for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/141246 and -13\/8?\nAnswer: 564984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084247 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqwqhowhhqfwqqq. Give prob of picking 3 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/6)\/(-5)*(-309)\/1442?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82266 - 104039 - 13135 = -277*f. Calculate the greatest common factor of f and 1665.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2734741573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h**5\/3 - 86*h**4\/3 + 388*h**3\/3 - 776*h**2\/3 + 640*h\/3 - 128\/3 = 0.\nAnswer: 2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 11*x**2 + 9. Let t(u) = 5*u**2 + 4. Suppose z = -1, -2*c + 5 = -13*z + 16*z. Determine c*n(h) - 9*t(h).\nAnswer: 4*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3922, 7848, 11784, 15730, 19686, 23652, 27628?\nAnswer: 31614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/101, 138, 5, 0.5 in increasing order.\nAnswer: -2\/101, 0.5, 1, 5, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 655366 and 844.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 1 + 19. Let p(c) = -7*c**2 - 5*c - 4. Let f(j) be the first derivative of 2*j**3 + 2*j**2 + 3*j + 9. Calculate h*p(v) - 5*f(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5 - 19*t**4 - 44*t**3 - 9*t**2 + 18*t = 0.\nAnswer: -6, -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/5)\/(-4)*(-15)\/6. Suppose 6*x = 7*x. Sort u, 5, x, -4 in descending order.\nAnswer: 5, x, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -560*c**2 + 875*c - 6. Let x(j) = 4*j**2 + j - 1. Let m(d) = -b(d) + 6*x(d). Find the second derivative of m(p) wrt p.\nAnswer: 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.004, -96, 8, 0.3, 6\/11?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11037 is divided by 3658.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 5, v: 10, k: 3}. What is prob of picking 2 k and 1 v?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/113 + -310\/791. Let v = 3.76 + 0.24. Let y be ((-3)\/4)\/(9\/(-2)). What is the closest to v in y, d, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 74, 84, 76, 44, -18, -116, -256?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (171\/(-513))\/(-1*(-2)\/(-12)). Suppose l + 5*m = 38, -2*l + 0*m = -5*m - 46. Solve 3*g - 4*j = -l, 0 = g - w*j + 3*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 250237*h - 500470.\nAnswer: -(h - 250235)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 9*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 939274593 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = 15. Let j = t - -7. Let y = 12 - -4. What is the smallest common multiple of j and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35915532 to the power of 1\/2, to the nearest integer?\nAnswer: 5993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*q = -0*x + 38, 3*x = -5*q + 80. Suppose -1007 = -217*t + 842 + 321. What is the highest common factor of x and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/16 + (-3)\/(-3192)*817?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 7. Let g = 33 - 33. What is l(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1336 + 3751*l - 1879*l - 1872*l + 3*l**3.\nAnswer: 3*l**3 + 1336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -11825?\nAnswer: 11824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 + -61. Let b = 152 + x. Suppose 4*c = -4*j + 40, -2*j - 5*c + 29 = -0*j. Do j and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-56) + -2)*(21\/6 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - -12. Let j be 0 + (-7)\/2*-6. Calculate the highest common factor of j and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26265752 and 36115409.\nAnswer: 288923272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*z - 483 + 304 - 1196. Calculate the highest common factor of z and 1133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 1. Give c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + -2*sqrt(102))*6)\/(sqrt(6) - (sqrt(486) + sqrt(486)*-2 + sqrt(6)) - sqrt(6)) + 0.\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -5 + 42\/(-6)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.45, 1, -4, 3\/5, -42, 0.4, -9 in increasing order.\nAnswer: -42, -9, -4, 0.4, 3\/5, 1, 1.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1586 = -2*s + 6*s - 5*u, 0 = -5*s + 3*u + 1976. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15096 - -15099. Let v(h) be the third derivative of -3\/70*h**5 + 1\/14*h**4 + 0*h + 2*h**2 + 1\/105*h**6 + 0 - 1\/21*h**w. Factor v(l).\nAnswer: 2*(l - 1)**2*(4*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 430307 * 1017.\nAnswer: 437622219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, o: 7}. What is prob of sequence mm?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(121) - sqrt(121)*-2) + sqrt(121))\/sqrt(11).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 93590, 187178, 280766, 374354, 467942, 561530?\n\"Answer: 93588*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + m + 620 + 83 = 0, -5*f - 3*m + 1763 = 0. Suppose -62 = -2*z - 2*w, -4*w + 163 = 5*z - 7*w. What is the highest common factor of f and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1293 - -32?\nAnswer: -1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*v**3 - 55*v**2 - 959*v - 89040350 wrt v?\nAnswer: -96*v**2 - 110*v - 959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, 1 v, and 1 y when four letters picked without replacement from {y: 1, w: 1, t: 2, d: 1, v: 1, z: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let u(r) = -3864*r - 81. Calculate x(u(m)).\nAnswer: 3864*m + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69354 and 8130?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3265, -3263, -3251, -3223, -3173, -3095, -2983, -2831?\n\"Answer: z**3 - z**2 - 2*z - 3263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -1319, -3319, 3 in increasing order.\nAnswer: -3319, -1319, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*z + 20 = -0*g, 2*g + 2*z + 10 = 0. Suppose 28*d - 1862 - 826 = g. Calculate the remainder when 281 is divided by d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 41*z. Let i(o) be the second derivative of -o**6\/720 - 5*o**4\/12 - o**3 + 3*o + 1. Let b(n) be the third derivative of i(n). What is b(f(q))?\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 80 = 6*d. Let b = -11 + d. Suppose 2*n - 5*q + 10 = -b, 9 = -n + 3*q. Solve n = i + 4*t - 17, -3*t + 30 = -9*i + 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/sqrt(1728) + sqrt(209)\/(-5*sqrt(11)) + (sqrt(76) + (sqrt(76) + (2*sqrt(76) - sqrt(76)))*-5)\/(sqrt(144)*-1).\nAnswer: 83*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*m - 31, -3*r + 42 = 4*m - 4*r. Suppose 19 = 2*a + 3*l, 2*l + 28 - 38 = 0. What is the derivative of 7 + m*c**2 - a - 4 wrt c?\nAnswer: 22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3\/3 + 244*a**2\/3 + 1540*a + 9300 = 0. What is a?\nAnswer: -31, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 4}. What is prob of picking 4 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3087) + -5 + 3*sqrt(3087))**2 + -5.\nAnswer: -840*sqrt(7) + 49412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 32067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 + 119*o - 5422. Give s(25).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 11*b + 7326 - 7379. Let z be n(8). Suppose 3*o + 41 = -g, -g = -z*g + 2. What is the smallest value in -0.5, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*w - 16037 = 21*w + 168*w - 539*w for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68429072606 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 90762220?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5086, 10161, 15236, 20311, 25386, 30461?\n\"Answer: 5075*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5 - 66*l**4 + 225*l**3.\nAnswer: -3*l**3*(l - 3)*(l + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1365?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 46. What is l(5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 19308577?\nAnswer: 4\/19308577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = 32. Let z be 72\/j*2\/(-3). Solve 4 - 3*u + 2*u - z*u**2 + u**2 - u = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 42, 33, 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - 2*r**2 - 15*r**2 - 5*r**2 + 3*r**2 + (-1 + 1 + 2*r)*(-r + 3*r - 3*r))*(-9 + 13 + 12).\nAnswer: -336*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0)\/(-4) - 1. Which is greater: i or -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -7 + 15 - 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232363840.1 + -232363829.50000059. Let h = -21 + 31.6. Let w = o - h. Round w to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(38*q**2 - 40*q**2 + q**3 + q - 145*q**2).\nAnswer: -2*q**3 + 294*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7))**(2\/5) assuming l is positive.\nAnswer: l**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/21 and -73\/17991?\nAnswer: 125937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -3, -1, -4 in descending order.\nAnswer: 6, 5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccuucccucccc. What is prob of sequence uuu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000101100011 - 100?\nAnswer: -1010000101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175133 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 27 = 10*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 - 7*f**2 - 3*f**2. Let w(m) = m**2 - m - 1. Let g(u) = -u - 1. Let z(s) = 2*g(s) - 2*w(s). What is z(h(k))?\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -266, -1176, -2698, -4832, -7578?\n\"Answer: -306*i**2 + 8*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 3*o**4\/4 - 6*o**2 - 17. What is the second derivative of t(z) wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -249639 and -469.\nAnswer: 117080691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, t: 3, f: 3}. What is prob of sequence tfff?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.19 (c) -1 (d) 2 (e) 5.8 (f) -6 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -120, 0.3, -1, 2\/1647, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -b - 10, -2*z - 4*b - b = -1. Let i(y) = -y**3 + y**2 - 4*y + 4. Let s be i(1). Solve s = z*x - 4*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f = -1276 - 1476. Solve 33 = f*x - 97*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*z + 187*z - 82*z - 8 + 9.\nAnswer: 21*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3100100 + 2?\nAnswer: 3100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*h = -6, 5*h - 3 = -4*z + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 36 = -3*y. Let d(u) = u**2 + 8*u + 11. Let t be d(y). Let a be (-1)\/4 + 25\/t. Sort a, 4, -5.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, -5.4.\nAnswer: -5.4, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163 + 220. Suppose -5*o + 7*o - 24 = -4*d, 4*o = d + u. Solve 13 = s - 2*i - i, -3*s + o = -4*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -26*u - 6. Let r be i(-1). Suppose 0 = 4*m - r. Suppose 0 = -n + 2*o + 70, -182 - 153 = -5*n - m*o. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 8.8.\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5437000 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, k: 6, i: 2, o: 4}. What is prob of picking 1 f and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 40 = 4*t, -2*t - 3*b = -4*b - 5. Suppose -t*u - 4*c = -51, -c - 24 = -5*u + 32. What is the remainder when 20 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z + 13*z + 22*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 - 2*y - 19*y**3 + 25 + 93 in the form q + k*y**3 + d*y**2 + i*y and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0 + 0*o + o**2 + 1\/3*o**3 + 1\/8*o**4. Determine x(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 100730534?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -862 + 1815. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 15*n - 8. Let v be j(6). Let m be (-116 - -4)\/(v\/(-245)). Let b = m - 1245. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -62*(-3)\/12*2. Suppose 25*v = f*v - 12. What is a in 4\/3*a**v - 6*a**3 + 0 + 14\/3*a**4 + 0*a = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1969*o + 170*o**2 + 1969*o - 1050 + 1050.\nAnswer: 170*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*o - 5*o = -37, -5*j + 45 = 3*o. Calculate the lowest common multiple of j and (-25)\/((-250)\/(-45))*24\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, t: 2, h: 5, s: 6, a: 2}. What is prob of picking 1 k, 1 h, 1 a, and 1 t?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274266 = 5426*y + 109*y - 14121 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 + 1*(-3 - 0). Suppose -w + 0*w - 11 = -3*o, -c = -3*o + 3*w. Factor o*s**2 - 2 - 6 - 3*s + 8.\nAnswer: 3*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.3, -3\/40?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*z - 5*j = 30, -14*j = -97 + 125 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3253*g**5 - 1182*g**4 + g**3 - 61*g**2 - 13946*g - 1?\nAnswer: 195180*g**2 - 28368*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Suppose g*f - 22 = 3. Suppose -10 = -2*s, 0*s = f*o + 2*s - 45. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 0.5 (c) -2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1. Let w be r(3). Let v = -3 - -10. Solve -5*b = -v + w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39981, -39954, -39927, -39900, -39873, -39846?\nAnswer: -39819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11572\/5 + 2315. Put 38, -1\/11, l in ascending order.\nAnswer: -1\/11, l, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2 + 890266880*m + 49535944851558400 = 0.\nAnswer: -111283360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 30552*l**2 + 366858*l - 825552.\nAnswer: -2*(l - 9)*(l - 3)*(l + 15288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -140*j**2 + j + 4. Let k be u(-2). Let f = -11716\/21 - k. What is the nearest to -5 in 0.5, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 - (30\/(-100))\/(32 + (-92510)\/2992).\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290715043 to the power of 1\/3, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -78, -165, -286, -441?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 24 = 2091*b - 2083*b, -6*b + 2*p = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-2))\/1)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -489 - -497. Calculate the remainder when 206 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 29*w = 136, 1728*w - 1730*w - 25 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - o - o - o + 3*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 6, o: 1, h: 2, b: 2, u: 4}. Give prob of sequence oxb.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = 29*c - 91 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17469497\/1176 + 14855. What is the common denominator of 1\/1176 and n?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-140))\/((-2)\/16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 30, 45, 60?\n\"Answer: 15*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -16*r**2 + 1. Let v be i(-1). Let d be -3 - (6\/v - 3). Which is the nearest to d? (a) -5 (b) -1\/6 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, 4, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 9*q + 11*q = -34, -30 = -2*c + 5*q. Solve -o + 4 = -z + 3, 5*z - 2*o - c = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*-1474\nAnswer: 41272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-125 - 15 - 71 + 2)*(1 - 1 - 2*m) to the form r*m + q and give r.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.2 (b) 1\/2 (c) 0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - u + 8, -2*v = -4*v - 3*u + 3. Suppose i - 5 = -3*w, v*w - 5*i + 14 = 7*w. What is the remainder when 26 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618.7 rounded to the nearest 10?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*b + 54 = 179*b - 2*w, -5*b = 23*w + 96 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3}. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3067*b = -2998*b + 6061*b - 3*a - 34, 32 = -5*b - 2*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378421 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, 1 t, and 1 c when four letters picked without replacement from {c: 6, q: 8, x: 1, t: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(63))*2 - (2 + sqrt(63) + -2 - sqrt(63)) - (sqrt(224)\/sqrt(4))\/(-2*sqrt(2)*-5 - sqrt(2)).\nAnswer: 52*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = -s + 10, -2*k + 4 = -2*s. Find the common denominator of (-3 - -1)\/(22\/(-17)) and (4\/(-35))\/(k\/(-10)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 261\/232*(-32)\/(-6). What is the greatest common factor of 42 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let y be n(4). Let q(a) = -4*a - 3. Let g be q(y). What is the highest common factor of g and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.778 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1416, -1866, -2304, -2724, -3120?\nAnswer: -3486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/72)\/(7\/(-14)))\/(37*(-81)\/(-335664))?\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 2*s + 31. Let r be k(-5). Factor -316*i**2 + 2916*i - 2187 + 415*i**4 - 494*i**2 + r*i**3 + 18*i**3 - 418*i**4.\nAnswer: -3*(i - 9)**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 140*s**3 + 265*s**2 - 130*s.\nAnswer: 5*s*(s - 26)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421077 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -168508*j**2 - 51867 wrt j?\nAnswer: -337016*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -14. Let l = f + 17. Calculate the remainder when 42 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 189138, 375008, 560878, 746748, 932618?\n\"Answer: 185870*f + 3268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330422505 (base 6) to base 16.\nAnswer: f3ff89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2737.9 - -2738. What is the third biggest value in 0.3, y, 227?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/32)\/((-3)\/(-12) + 0). Calculate the greatest common divisor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 9*h + 10. Let d(x) = x**3 - 9*x**2 - 6*x + 11. Let j(y) = -y**3 + 9*y**2 + 7*y - 10. Let b(i) = -3*d(i) - 4*j(i). Let o be b(10). Give l(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:49 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1000101011010?\nAnswer: -1000101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (44 + (3 - 18) - 78) + -10\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssv. Give prob of picking 2 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73380, 293986, 661822, 1176888, 1839184, 2648710, 3605466?\n\"Answer: 73615*i**2 - 239*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1037 + 1035 - 23*f - f - 96*f**2 - 128*f**3.\nAnswer: -2*(4*f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 11) in base 7?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38253, 76503, 114753, 153003, 191253, 229503?\n\"Answer: 38250*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 2. Suppose -3*n + 48 = 2*j + j, 3*n - 62 = 4*j. What is the least common multiple of y(-8) and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 552. Let j be 6*(v\/(-105) - 4). Which is greater: -0.6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3462 at most as big as -10384\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -y - 0*y. Suppose 0 = z - 3*t - 0 - 2, 4*t + 16 = 4*z. Solve y - 1 = -z*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19056562, 38113125, 57169688, 76226251, 95282814, 114339377?\n\"Answer: 19056563*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 825, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(144)\/sqrt(64) + sqrt(36) - sqrt(36))\/sqrt(12))**2 + -5 + 1 + -2).\nAnswer: 279\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 63 = 5*z - w, -2*w + 29 = 3*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 22*a - 11*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2 (c) -2\/7 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88572 is divided by 55?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 663234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79253241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.01144167 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 2*r**3 - 2*r**3)*(2629*r + 1832*r - 276*r - 400*r).\nAnswer: -3785*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/20 and 11\/(-572)*158 + (4 - -2)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 3. Let p = 2 - 12. Let x be 4\/p - (-74)\/10. Let l(m) = m + 4. Determine x*u(c) + 5*l(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + 0. Let f(w) = -2*w**3 - 26*w**2 + 32*w + 62. Calculate the smallest common multiple of k and f(-14).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21229 is divided by 2358.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 divided by -4?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 728050?\nAnswer: 728050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 19*b + 1050. Does 8 divide p(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**5\/5 - 4*o**4\/5 - 8*o**3\/5 + 4*o**2\/5 + 6*o\/5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284550195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 1574*f - 65846. Give l(-43).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1104*d + 1297*d + 446*d - 43*d to the form p*d + h and give p.\nAnswer: 2804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2928)\/(-384)*(-1 - -5)*(-162 - -164)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 62. Suppose 3*y - 6 = a. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-1710)*(-7533)\/93.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-269)\/2152)\/(((-7)\/(-6))\/7)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 14. Let w be s(7). Suppose -r + 5 - 30 = 0. Let y = w + r. Solve -k + 2*c - 3 = 3*c, -3*c = -y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x + 27. Give y(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -20*f**2 - 11*f - 6. Let v(c) = -c**3 - 19*c**2 - 22*c - 28. Let k be v(-18). Let y = k - 55. Let d(z) = 7*z**2 + 4*z + 2. Determine y*d(o) - 4*s(o).\nAnswer: 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6548548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 798 - 793. What is the remainder when 8 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 3*z + 2. Let o = -2 + 10. Suppose 3*t + x = -13, 4*t - x + 0*x + o = 0. Calculate the remainder when 4 is divided by m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -12. Let j = 26 + q. Suppose -5*y + 3*y - j = 0. Let w(x) = x**3 + x**2 - 2*x + 2. What is w(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, t: 2, o: 4, y: 1}. Give prob of picking 2 t and 1 y.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, -15, 5, 2, -2, -3 in descending order.\nAnswer: 5, 2, -2, -3, -15, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2)\/g)\/g**(-8\/3))**(-1\/3)\/(g**(-7)*g\/(g*g\/(g*g*g**(-4))*g)*g*g*g**(-2)\/(g**(-7)\/g)) assuming g is positive.\nAnswer: g**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - m**2 - m - 22. Suppose 4*a = 4*w - 12, -9 = 5*w + 9*a - 6*a. Let s be k(w). Let v = 0.2 + 0.3. What is the third biggest value in s, v, 3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/7)\/y*y\/y**(3\/8)*((y**1\/y*y)\/y)**38 assuming y is positive.\nAnswer: y**(-37\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964133?\nAnswer: 964133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232053900 by -343275.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(5\/4)\/z**(24\/11) assuming z is positive.\nAnswer: z**(-41\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-1)\/3)\/1)\/(6\/(-3222))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3994*a**3 - 8084*a**3 + 4089*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 10:21 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -335.7464.\nAnswer: -167.8732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1118 by 86.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 - 0.21. Let m = -561 + 673. Let g be (1\/3)\/(m\/(-96)). Which is the biggest value? (a) r (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 106*t - 104*t = -1266, 0*r + r - 4*t - 156 = 5*r for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(2\/5)*f*f*(f*f**4\/f)\/f)**(-3\/37))**(-39) assuming f is positive.\nAnswer: f**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605890 rounded to the nearest one thousand?\nAnswer: 606000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14686*o - 14693*o + 5*x - 111 = 0, -o = -4*x + 29 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575586417?\nAnswer: 3, 7, 27408877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 11194.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) - sqrt(20) - sqrt(5)) - (3 + sqrt(10)\/sqrt(2)))**2.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 306 in decreasing order.\nAnswer: 306, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1430612 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 18. Let q = 57516 - 634141\/11. Let g = q + 133. What is the smallest value in -5, f, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d = -2. Let p be 2 - d - (-3 + (-51)\/(-9)). Which is the nearest to -1? (a) -1 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10. Let u(j) = j + 0 - 1 - 10. Let f(b) = -5*q(b) - 4*u(b). What is the derivative of f(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1350216*b**4 - 236*b**2*d*t - 2724*b*d*t - 3*b*d - 3*b*t + 3*d*t + 563*t wrt b.\nAnswer: -16202592*b**2 - 472*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - u**2. Let d be (-2)\/(-2) + 1 + -2. Suppose -n = -8 - d. Suppose -j + 2*s = 3*s, -3*s + n = -5*j. What is i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 65. Suppose 0 = -j + 5*l - b, 0 = l - 3 - 2. Calculate the greatest common divisor of 28 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 586*s + 2*s**2 - 6*s**2 - 586*s. Let j(m) = -21*m. What is j(n(c))?\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 - 132 - 131 + 4*o + 281 - 2*o - 8*o as s + k*o**2 + u*o**3 + z*o and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - -81. Suppose -5*q + 139 = 4*c, -l = -3*q + c + 3. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**7\/900 + p**6\/900 - p**4\/12 - 2*p**3 + 19*p**2. Let u(w) be the second derivative of a(w). Let u(l) = 0. Calculate l.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 8*l**2 + 11*l - 4. Let c be o(9). Calculate the highest common factor of c and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 3:41 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34681686 times 0.09?\nAnswer: 3121351.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 16) to base 3\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/25*(-60)\/16?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 2*r**2 + r + 1. Let p be c(-3). Suppose -2*n = -o + 28 - 30, 5*n - 16 = -3*o. Solve -o*m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Suppose b*k + f + 4*f + 14 = 0, -3*f - 12 = 0. Solve r = -r - k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-4 - 200\/(-45)). Suppose -k + 5*c - 14 + 5 = 0, l = k + c. Solve j = k*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4 + 5. Suppose -11 + 2 = -y*l. Let w be 55\/10*(-66)\/l*-1. Calculate the highest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 0.31. Let h = -7 + 5. Let t = h - -1.5. Sort t, -1\/6, n.\nAnswer: t, n, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 5*w - 14. What is the tens digit of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110651 is divided by 535.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.022 and 5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*h - 0*h + 43, -h = -1. What is the smallest common multiple of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -22*(-3)\/6*1. Find the second derivative of 29*o**5 - b*o**5 + 50*o - 59*o wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10*g = 30. Let o(s) = -s**2 - 10*s - 9. Let i be o(g). Let v(q) = 3*q - 21. List the prime factors of v(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 62 = -58. Suppose -4*s = s - i. Suppose 5*r = 8 + s. Which is greater: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 378424*n + 2649031. Calculate s(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1402146413 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 2*m**3 - 2*m**3)*(-19 + 26 + m - 3*m).\nAnswer: 4*m**4 - 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/4, 1\/5, 5 in decreasing order.\nAnswer: 5, 2, 1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n**2 - 12*n + 4. Let v be b(-3). Let u(t) = 27 - 5 + 432*t - 397*t. Is u(v) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/5 of a millennium?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put -2018, 0.5, 1\/3, -5 in decreasing order.\nAnswer: 0.5, 1\/3, -5, -2018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 218299 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - 1) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 15.1. Round y to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32670048 and -1600.5.\nAnswer: 32668447.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -163*o - 3893. Determine a(-25).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 499.401 + -0.401. Let r = 498.98485 - t. Round r to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18*k - 5. Let s be y(-4). Let h(p) = -p**3 - 17*p**2 + p + 21. Let u be h(-17). Suppose u*t - s = 17. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + b)*(-b - 18*b - 20*b) + 2*b - 2*b**2 - 2*b)*(115 - 56 - 51) in the form h*b + f*b**2 + z and give f.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/((-4960)\/120))\/(1\/((-32)\/(-3)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -213? (a) -2 (b) 2 (c) 8 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1133 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-39) - 181537\/(-156). Let n = -1150 + y. Let j = 76\/67 + -5803\/804. What is the common denominator of j and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 267, 272, 279, 288, 299?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-62)\/(-5))\/((-128)\/320). Put -4, m, 4, -3 in increasing order.\nAnswer: m, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w = 2*c + 414, -53*c + 145*c - 2*w = 45*c + 49*c - 28 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 133488 divided by -66744?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-216)\/7)\/(-3) - (-6)\/(-21). Let k(n) = n**3 - 5*n**2 + 5. Let w be k(5). Solve -w*h - f = -10*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -850 - -1535. List the prime factors of h.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -960992010 rounded to the nearest one hundred thousand?\nAnswer: -961000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/33 - 13\/11. Let w be (-2 + (0 - v))*-2. Suppose -2*x - 2 = 3*q + w, 5*q + 6 = -3*x. Solve q = 3*n - 0 - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 183*s - 35347. Determine r(194).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 9. Determine t so that g - 7*t + t + 4*t**2 - 10*t - 3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 56, 239, 546, 983, 1556, 2271, 3134, 4151?\n\"Answer: i**3 + 56*i**2 + 8*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3015.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8909 or -8907?\nAnswer: -8907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5488053092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 14. Let q = -6 - s. Let v(g) = -g - q*g - 7*g + 2*g. Let f(h) = -h**2. What is f(v(o))?\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00172162 rounded to 6 decimal places?\nAnswer: 0.001722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-12) - 10\/(-15). Let t be i - (-5)\/(-80)*2. Let d be ((-22)\/(-1694))\/((-4)\/(-28)). What is the third smallest value in d, 0, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 1. Suppose 5*q - 2*q - 3*v - 60 = 0, -28 = -3*q - 5*v. Suppose -n - 3*n = -q. What is y(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/(-2) + 8\/(-80)*5. Sort l, 6, -4 in descending order.\nAnswer: 6, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9 - 2.1. What is the biggest value in 1\/2, -20, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -7.5. Let l = 7 - d. Sort l, -3, 2 in descending order.\nAnswer: 2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(-8\/7)*(y**(-9)*y*y)\/(y\/(y**(2\/9)\/y)) assuming y is positive.\nAnswer: y**(-601\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0014 and -41.546.\nAnswer: -0.0581644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 16 = 4*j. Calculate the smallest common multiple of 4 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 - 4*b**3 + 2*b**3 + 2*b + 4*b**3 + 2*b - b**2 to the form l*b**4 + h + g*b + i*b**3 + y*b**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 1 + 11. Suppose -2*q = -s*n - 444, -4*q + 3*q = 3*n - 214. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 95*z - 93*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 21. Let p be j(-14). Let y = 20 + p. Let i = -49 + y. Solve -o = -4*d + 4, 4*o = 5*d + 1 - i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from ntnn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.001569 minus -31415910?\nAnswer: 31415893.998431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89955 = 39*c - 63549. What are the prime factors of c?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/5 + 2*o**4\/5 + 78*o**3\/5 - 218*o**2\/5 + 28*o = 0. What is o?\nAnswer: -7, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1916\/7 (b) 0.02 (c) -40 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t - 4*t + 4*t + 0*t as w + a*t and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 16115 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -202 (c) 1\/12 (d) 0.56 (e) 4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 7*h = 2*a - 6*a - 20*h - 11 + 27, -a - 8*h = 1 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -70. Let r = 73 + p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/744 and -55\/36.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = 2. Let s be -3125*((-3)\/h*-4 - 323). Round s to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**7\/105 - y**6\/10 + y**5\/6 - y**2 + 1. Let i(c) = 0. What is c?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + m - 2. Give y(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**3 + 68*w**2 + 286*w + 350. Let i(m) = 5*m**3 - 67*m**2 - 286*m - 348. Let p(l) = 6*g(l) + 7*i(l). Solve p(c) = 0 for c.\nAnswer: -56, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7069100 and 24092.\nAnswer: 134312900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/3)\/t))**(-2\/35) assuming t is positive.\nAnswer: t**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.00675 - 0.008853. Round d to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2\/8 + 9*p\/8 - 1 = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36157?\nAnswer: 11, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562*u + 77 = 567*u - 1118*u. Let s = -5 - -33. What is the greatest common factor of s and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 1. Does 5 divide r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6302 is divided by 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 + 33*l**3 + l - 64*l**3 + 33*l**3 as u*l**3 + q*l**2 + o*l + x*l**4 + a and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*k*u - 53*f*k + 2*f*u + 1810*f - 8*k*u - k - 28850*u + 2 wrt f?\nAnswer: 2*k*u - 53*k + 2*u + 1810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 3*n**2 + 35*n - 3. Let m(i) = -i**2 + i + 1. Let k(b) = 3*m(b) + w(b). What is the second derivative of k(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -37*b + 4. Let z(d) = d**3 + 55*d**2 - 12*d + 268. Let u be z(-55). Suppose u = -9*t + 25*t. What is the remainder when m(-3) is divided by t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 4 + 4)*(-210 + 166 - 439).\nAnswer: -966*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*a + 3)*(2*a**2 - 816*a**3 - 782*a**3 + 1607*a**3 + 68).\nAnswer: -27*a**4 - 6*a**3 - 204*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001936 to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.8079 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x + 30. Let v be ((-18)\/16)\/((-105)\/280). Which is the biggest value? (a) 2\/3 (b) v (c) -0.4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14346 and 2794282?\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*l**5 - 29155*l**3 + 48*l + 88678.\nAnswer: -380*l**3 - 174930*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(2*sqrt(486)) - -5*sqrt(18)*2) + ((sqrt(84) + sqrt(84)*-3 + sqrt(84))\/sqrt(6))\/(sqrt(847) + (3*sqrt(847) - sqrt(847))).\nAnswer: 5945*sqrt(2)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14307*q**2 - 42927*q**2 - 2 + 14312*q**2 + 14313*q**2 + 2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 + 3*u**2 + 40*u + 67. Calculate a(-3).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33233 - -11?\nAnswer: 33310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111.3 - -116.3. Let v = 8 - 9. Let g be (v + (-6)\/(-4))\/2. Which is the nearest to 2? (a) g (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209716 is divided by 422?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 566*z**3 - 262*z**2 - 4*z - 4*z + 263*z**2.\nAnswer: 566*z**3 + z**2 - 8*z + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12893, 12903, 12917, 12935, 12957, 12983, 13013?\n\"Answer: 2*s**2 + 4*s + 12887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*x - 3 = 0, c = -6*x + 2*x - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596598.\nAnswer: 2, 3, 17, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 11:23 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 = 5*w - 31, 3*o + 4*w - 26 = 0. What are the prime factors of o\/8 + 105\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2\/5 - 2336*z\/5 + 682112\/5 = 0.\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 2, i: 1, r: 1}. Give prob of picking 1 r, 1 q, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -483414 + 786620. Let s be p\/(-3276)*8\/112. Let j = s - 1\/7644. Calculate the common denominator of 67\/6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13010743.\nAnswer: 2287, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 3*i - 18. Let g be y(-5). Is ((1 - g) + -2)*127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 17 = 4*c, 4*r + 0*c + c = 14. Suppose -41 + 5 = -r*k. What is the units digit of 36*-3*(-2)\/k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/3 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21257 - -39610. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2403*y + 271 = -36*n - 2407*y + 3, -2*y - 8 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 45 = -5*h, 19 = 2*s - h - 0*h. Let n = s + -5. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.8 * -30.26.\nAnswer: -750.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/1545 (b) -22 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + 8020*c**2 + 18*c - 46*c - 35*c.\nAnswer: 8020*c**2 - 58*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 59*q**2 + 30*q + 3. Let l be k(-30). Let j(p) be the second derivative of -16*p + 0 - 13\/2*p**2 + 1\/2*p**l. Differentiate j(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 223 = -0*o + 2*o, 0 = 2*m - 2*o + 88. Is (-3185)\/m - 6\/(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7284197.\nAnswer: 7284197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 293\/5, -3\/17, 0.3, -27 in ascending order.\nAnswer: -27, -3\/17, 0.3, 293\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 47. Let i be p(23). What is the smallest common multiple of (i + 0)*1\/(6 - 7) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/8 and 67\/450?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v**4\/5 - 5479*v**3\/5 + 1068594*v**2\/5 + 1381408*v\/5 + 307328\/5 = 0. Calculate v.\nAnswer: -1, -2\/7, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 22*f**3 + 3*f**2 - f - 4. Let p be o(2). Let u be (-23)\/3 + 4\/6. Let m = 33 + u. What is the highest common factor of m and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 5*f**2 + 3*f + 4. Let m be j(4). Let y be m + 1 - (-1 + -13). Suppose -8*v + 21 = -v. Solve -v*b + 0*b = -y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2043 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 + 0*i**2 + 5*i**2 - 2*i**2 - 340*i to the form p + j*i + k*i**2 and give j.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 + -13 - -3) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 41*z + 10*z - 540 = 0 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*-4*(-2)\/16. Let u(o) = k*o**2 - 296 - o**2 + o + 292 - o**3. Calculate u(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2470 - n + 7106 - 2314 - 2322 + 0*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*l**2 + 463*l - 56*l**2 - 462*l in the form m*l + j*l**2 + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 857 divided by -346686.\nAnswer: -857\/346686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 14*s + 1. Let n(a) = 7*a**2 + 27*a - 2. Let u(p) = 7*i(p) + 4*n(p). List the prime factors of u(8).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.7, 6\/13, -0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 15896?\nAnswer: 47688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l - 9 + 9)*(0*l + 6*l - 22 + 23) as u*l**2 + v*l + p and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - w. Let z = 24 - 24. Let a be p(z). Suppose 3*n - 4*l - 58 = a, -n = n - 2*l - 36. What is the lowest common multiple of n and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2473, 4945, 7417?\nAnswer: 9889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 5*w**2 + 1\/24*w**4 + 0 + 0*w**3 + 0*w. Give z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -27, -3.6, 3\/49, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**3 + 12*l**2 - l - 8. Let p be z(5). Which is bigger: 1161 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(119) + (sqrt(119) + sqrt(119) + (sqrt(119) - (sqrt(119)*2 - sqrt(119)))*4 + sqrt(119) + sqrt(119) - sqrt(119)))\/(sqrt(35)\/sqrt(5)*-1))**2*1.\nAnswer: -40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -3)*(-2)\/4. Suppose -z - 3700 = -i*z. What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g**(-1)\/g*g)\/(g\/(g\/(g**(1\/4)*g))))**(-3\/7))**(-21))**(-1\/3) assuming g is positive.\nAnswer: g**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y - 308 = 0. Suppose -2*f + y = 38. Suppose -3*l = -663 + f. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/90*(0 - 18\/(-12))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484824972?\nAnswer: 2, 3, 17, 2376593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 1c2444a?\nAnswer: -1c24451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30618 and 2107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 55377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 17 + 7. Suppose 0 = -2*x + 6*x - 113 + 77. What is the highest common factor of s and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12866\/2397 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816785 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23500328833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 5. Suppose h*s = 7 + 49. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94*7.\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/10)\/((-2)\/(-1130)). Suppose 4*v = g + 40. Let p = v - 86. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 34*w = 4. Suppose -3*z = -w*z + 301000. What is z rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*x + 24, 2*x - 9 = -x + k. Suppose 4*t = -4*r, -1 + 5 = x*r. List the prime factors of ((-1)\/(-2))\/(t\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/13 (b) 1\/5 (c) -0.3 (d) 0.5 (e) -10\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Let h be (2 + -4 + n)\/(-18). Which is the nearest to 2\/3? (a) 0 (b) 3\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -45, -89, -133?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57540, 112069, 166592, 221109, 275620?\nAnswer: 330125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2412 and 5*2680\/12*((-72)\/5)\/(-12)?\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {f: 4, q: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 619850035 to the power of 1\/3, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 8, -1, -10, -19?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -474127940.\nAnswer: -474127936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/21)\/h)**(6\/11)\/(h**13\/h*h*h*h**12*h) assuming h is positive.\nAnswer: h**(-2117\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81668*r**3 - 13*r**2 - 4*r + 539.\nAnswer: 490008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-476))\/(2\/16)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 3?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1723\/248 - -52\/31. Find the common denominator of t and 21\/(-63) - (-85)\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 206 + -449\/2. Let s be (1\/3)\/(16\/(-384)). Find the common denominator of k and 3 - (-364)\/s - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 29, 4, 1\/8.\nAnswer: -2, 0, 1\/8, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m + 6 + 39*m + 7*m - 28*m as l + a*m and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12*z = 14*z. Suppose z = -3*p + 5*f + 80, 5*f - 97 = -5*p + 63. What is the highest common factor of p and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*q + 57. Let k(r) = -17*r - q*r - 119 + 119. Let n(z) = 2*z**2. Calculate k(n(h)).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380257311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190876273.\nAnswer: 7, 27268039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -49 - 59) + 0 + -26\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265097.5 meters to kilometers.\nAnswer: 265.0975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 1241031154?\nAnswer: -1241031151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 1 (c) -0.01 (d) -1 (e) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)\/(sqrt(81)*-3))\/(sqrt(360) + sqrt(360)*-1 - (sqrt(60)\/(sqrt(18)\/sqrt(3) + sqrt(6)) - sqrt(10))))**2.\nAnswer: 20\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5241079 to the power of 1\/2, to the nearest integer?\nAnswer: 2289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 - -173. Solve 0 = 9*z - v*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/(-6))\/2)\/(((-5)\/18)\/(1570\/(-942))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + s + 70 - 43, l + 47 = -13*s for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 2. Let j(p) = -1312*p + 8. What is 5*a(h) + j(h)?\nAnswer: -1322*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) - (-8)\/(-3). Let u(b) = -4*b - 4 - 3*b + 6*b. What is u(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 321, -5, 0, -3 in ascending order.\nAnswer: -5, -4, -3, 0, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1237 + -1225. Let x be 2\/(2\/(-2)) - -28. Suppose x + h = k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23214 (base 8) to base 11\nAnswer: 7461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 2*x**2 + x + 3. Let q be l(-2). Solve -12*i = 17 - q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210290 is divided by 142?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s**2 + 14*s**2 - 5*s - 2*s**2 + 0*s as d + i*s + f*s**2 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29529306.\nAnswer: 2, 3, 17, 19, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 + 56. Let t = 64 + b. Calculate the remainder when 5 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - ((-774)\/8 - 2\/8) is divided by (-41)\/(((-3)\/(-2))\/(135\/(-90)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106003 to the power of 1\/2, to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-273)\/168 + (-6)\/16. Let m be (-15)\/(-9) - t\/(-3). What is the closest to -4\/3 in -3, m, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbnbnbwxxxbnbt. What is prob of picking 3 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**5 - 2*g**5 + g**5)*(4 + 2 - 4) + 14*g**3 + 14*g**5 - 14*g**3.\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 4*w - 11. Let y be g(-2). What is the greatest common factor of y and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -77 (b) 1 (c) -1\/10 (d) -0.3 (e) -0.8 (f) 1.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480806?\nAnswer: 2, 311, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 157977.4l?\nAnswer: 157977400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -647, -1461, -2601, -4067, -5859?\nAnswer: -7977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10182 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*-2705\nAnswer: -324.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 1) + (158 - 150)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + 0 + (-55)\/((-1155)\/(-126)). Solve 63*w = 58*w + p - 19, 0 = u*w + 4*p + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3622, 3613, 3604, 3595?\n\"Answer: -9*y + 3631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 16*g = -475 - 54 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*g**2 + 1\/2 - 3\/4*g = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 - 24 + 62*d**2 - 84*d**2 - 233*d + 277*d + d**4 = 0. What is d?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**3 - 41*t**2 + 44*t + 27. Let a(v) = 2*v**3 + 14*v**2 - 15*v - 9. Let k(w) = -8*a(w) - 3*j(w). Is k(9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6595 divided by 6595\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1*(1 - 2). Let p be 8\/(-6)*(8 + u). Let j be (-2)\/(-4) - 44\/p. What is the highest common factor of 42 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*x*y**2 - x*y + 2*x + 2*y**2 - 3*y - 1851 wrt y?\nAnswer: 52*x*y - x + 4*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8200.6 rounded to the nearest 100?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*v**4*w - 1227*v**2*w + 915*w wrt v.\nAnswer: 24*v**3*w - 2454*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**1)**(1\/3))**(-9\/4))**(-4\/19))**(5\/11) assuming f is positive.\nAnswer: f**(15\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -65*f + 0 + 131*f - 3 - 62*f. Let k(l) = 11*l - 8. Let n = -2 - -5. Let y(r) = n*k(r) - 8*j(r). Calculate y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:26 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 69. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**2 - 2*a**2 - a**2 + a**2 as d*a**2 + m*a + v and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 47909*c - 1389357. Calculate i(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 12. Let t be m(-8). Suppose 5*d - 3*j = 8, 0*d + t*j - 24 = -2*d. Let u = 4 - d. Solve 4*w + 2*i - 2 = u, -5*w = -w + 3*i - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17155*x + 7503*x + 5898*x)*(0 + 1 + 0).\nAnswer: -3754*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-144)\/176 - 2\/11. Let q be 6\/8*6\/(-9). Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12980\/7 + 1778337\/959. Let d = m - 11459\/1096. Find the common denominator of d and 0\/(-2) - 116\/(-112).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235492373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*h + 136. Suppose -52*b = -h*b - 16. What is the remainder when b is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n + 4. Let q(a) = -56*a**2 - 339*a - 13. Let o be q(-6). Let r(v) = 5*v - 2. Calculate o*r(w) + 3*i(w).\nAnswer: -5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, e: 4, i: 5, u: 1, s: 1}. What is prob of sequence esee?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 + -48.3656395.\nAnswer: 170.6343605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6712 and 917590808.\nAnswer: 6712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/((-3)\/(-6)). Suppose -x*c - 3 = -15. Suppose -5*h - 24 = -c*d, -d - 4*d - 11 = 4*h. Calculate the lowest common multiple of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/((-1)\/10). Let n = -1633 - -1659. Suppose -2*s - 4*q = 222 + n, -j*s - 470 = -5*q. What is s rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3 - 1945024*y**2 = 0?\nAnswer: 0, 1945024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002126953 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -22, -16, 6, 50?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, k: 1, b: 3}. Give prob of sequence bqqk.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493408 is divided by 252.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*j - 209*j - 10850 = 0 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 42 = o + 2*o + 2*o - 61, -15*o - 130 = 5*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1514120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.79, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 107706470177416.\nAnswer: 107706470177413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 5*u, 155*z + 4*u = 156*z + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(-11)\/(-616)*-7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, x: 1, m: 1, j: 4, z: 3, e: 3}. Give prob of picking 1 z, 1 x, and 1 e.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 956 + 224 = 0. Suppose -4*q = 5*x - 10*x + 728, 0 = 2*q - 3*x + 364. Which is greater: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -41*t**3 - 3*t**2 + 40*t - 37. Give c(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:05 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 113.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 26*m - 10 = -3*i, -2*i = -6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -261.2 - -261. What is the third biggest value in -1\/4, x, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffpd when four letters picked without replacement from {s: 1, b: 1, p: 1, d: 1, f: 2, a: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27271 + 8249. Round b to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*z - 4029 + 4342 + 2860 = -6199 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let u(k) = -659779*k**2 - 6. Determine u(q(x)).\nAnswer: -2639116*x**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 52 = -10*l - 11*s - 52, 0 = -5*l + 6*s + 196 - 168 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(1728))**2 + sqrt(1728))*5.\nAnswer: 120*sqrt(3) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 3*l + 3. Let m be c(-2). Let u(p) be the first derivative of -8*p**2 + m + 32\/3*p**3 + 2*p. Factor u(a).\nAnswer: 2*(4*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 22.56. Let d = -0.14 + i. Which is the nearest to -2? (a) -0.4 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/((-1)\/9). Suppose 3*f = 2*f + d*x - 10, x = 5. Let p(o) = 6 - 2 - 4*o + o**2 - 3*o. Give p(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 + 0*k**3 - k**3 + (k - k + 2*k)*(3*k**2 - 3*k**2 + 5*k**2).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00272614255 to five dps.\nAnswer: -0.00273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140307*b**2 + 899289*b**2 + 62859*b**2.\nAnswer: 821841*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.9 minus 3092.37?\nAnswer: -3107.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-20)\/(-10 - -6). Suppose 4*r = 3*g + 22480, 12 = -q*g + 8*g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546461537 to the power of 1\/2, to the nearest integer?\nAnswer: 23377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**3\/3 + 5*u**2\/2 - 107. Give f(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 23 = 4*q + 4, -4*f = -q - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 12*a**3 - 3. Let g(n) = -4*n**2 + 13*n - 11. Let p be g(2). Let u(x) = x**3 - 1. What is p*z(o) + 4*u(o)?\nAnswer: -8*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307465518?\nAnswer: 2, 3, 23, 2228011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-357)\/(-6) + (-7)\/14. Let n be x\/(-80)*(-8)\/18. Sort -3, n, 10\/9.\nAnswer: -3, n, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 2*o - 150. What is the tens digit of d(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vmvmvvvvvvvvvvmvmvv.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 775*y = -776*y + 606, -5*y + 598 = 4*j. What is the greatest common factor of 88 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -164. Let b = a + -106. Solve 27 = -3*k + 5*v, -4*k = b*v + 9 + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1971876 and 56?\nAnswer: 27606264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 13, 22, 37?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5.5 - -0.08\nAnswer: 5.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20021313300 (base 4) in base 3?\nAnswer: 11000121012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11632175 divided by 25\nAnswer: -465287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 12561, -21?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 34. Let g(f) = -f**3 - 5*f**2 - 3*f - 5. Let l be g(-5). Suppose 0 = 2*b - 0*b - l. Solve -k = q*k, 5*i - 15 = b*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfaa when four letters picked without replacement from fggffafafg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2 + sqrt(2299))**2 - (sqrt(76)\/sqrt(4) + sqrt(19) + -3)**2.\nAnswer: 12*sqrt(19) + 20606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**3 - 244*r + 10*r**2 - 236*r + 507*r - 42 + 8*r**2 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2. Let q be (4\/4 + 0)*2. Let i(y) = 3*y**q + 23 - 23. Determine h(i(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 134 (b) -0.53 (c) 3 (d) 0.01 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/2 - 709*v**2\/2 - 123879*v\/2 + 637245\/2 = 0. Calculate v.\nAnswer: -357, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5970 and 4832715?\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002467 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - 2*u)*(-5 + 5 + 2) + 8 - 8 - 2*u + 7*u + 7*u - 2*u + (1 + 0 + 0)*(-2 + 2 - u + (1 - 6 + 3)*(1 + 3*u - 1)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 7*i - 2. Suppose f - 4*f + 4*c + 8 = 0, 5 = -5*f + 3*c. Determine u(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2026853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 145782 and 2.\nAnswer: 145784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11794, 11862, 12124, 12676, 13614, 15034, 17032, 19704?\n\"Answer: 16*l**3 + l**2 - 47*l + 11824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 12.8 (c) 12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20601080, -20601068, -20601056, -20601044, -20601032?\n\"Answer: 12*c - 20601092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22478136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935898372 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 16 - 5. Suppose m*f - 63 = 3. Let x(r) = 8*r**2 + f*r - 6*r + 0*r**2. Let z(p) = -3*p. Calculate x(z(u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22123310 (base 4) to base 2\nAnswer: 1010011011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 85534048 + 24628*x**2 - 85534048 in the form t + y*x**2 + m*x and give y.\nAnswer: 24628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.3. Let s = -332 + 175.3. Let l = 159.7 + s. What is the third biggest value in y, 1\/25, l?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12 = 2*m, 163*h + 4 = 166*h - 4*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10656 divided by -288\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*y = -56*y + 103 + 258 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2267299, -4534576, -6801855, -9069136, -11336419, -13603704, -15870991?\n\"Answer: -v**2 - 2267274*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1061*b + 422279. What is y(-398)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 243\/80*d**5 + 1\/6*d**3 + 3*d**2 + 0*d + 0 + 9\/8*d**4. Find o such that z(o) = 0.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347604 (base 8) to base 10\nAnswer: -118660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*q - 25 - 12, 0 = 2*l - 10. Solve -k + 6 = q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 22, 56, -1\/4, 402.\nAnswer: -1\/4, 0.03, 22, 56, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 48 + 18 = 0. Let d = 10 + -6. Suppose 3*r = w + o, -22 - 8 = -d*r + w. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.5 (c) 3\/11 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 582 = 3*k, -v = -k + 3*v + 182. Calculate the greatest common divisor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, c: 7, g: 1, x: 5}. What is prob of picking 3 z?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 + 356*s - 2275. What is j(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 7*o**2 - 29*o - 9. Let h be z(10). Solve 7*y - h = 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343 - -3777\/11. Suppose 12*l - 1 + 49 = 0. Let t be 6\/(-24)*l\/1. Are m and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 60 - 16. Let z be -2*((-86)\/v - 2)*-6. Let i = -2 - -1. Which is the closest to i? (a) z (b) -0.2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 4 + 1 + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 718, 2870, 6454, 11470, 17918, 25798?\nAnswer: 35110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136450099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = -0, -5*t = 5*h - 10. Let m = 35 - t. Calculate the common denominator of 41\/13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-30)*3)\/((-6)\/45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57300 and 30050?\nAnswer: 34437300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -267212*1*(-21)\/84. What is h rounded to the nearest 100?\nAnswer: 66800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 4, 3, 1 in decreasing order.\nAnswer: 4, 3, 1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10768021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-3) + 54\/(-1215)*15 - 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 43*c**3 - 10*c**2 + 243*c - 234. What is u(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/336 + -10165\/5712. Let x = i + 201\/85. What is the closest to 5.4 in 0.1, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62.49 + 65. Let i = -2.50819 + y. What is i rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 19 + 8\/8 + 5.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4302 minus -7?\nAnswer: 4309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*b = 64 - 550. Sort b, -5, -4, 2 in ascending order.\nAnswer: b, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(-3) - (-1)\/3. Let h = t + 6. Let x be 0 + -1 + 3 + h. Solve -2*s - 4 = -4*m + m, x = s - 4*m - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4439 and -221?\nAnswer: 221.4439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkxggkkzkkkgg. What is prob of sequence kx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 364, 459, 466, 355, 96, -341?\nAnswer: -986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -18.5, 1\/56?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 79*g**3 - 2*g**2 + 21*g - 4. Let z(c) = 238*c**3 - 5*c**2 + 58*c - 11. Calculate -11*n(k) + 4*z(k).\nAnswer: 83*k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161226 + 161233.99944. Let n = z - 8. Round n to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 38*k = -1030. Let g = k - -115. Let h = g + 93. Calculate the least common multiple of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 5*w**3 + w**2 + w + 1. What are the prime factors of y(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 6*l**3 + 6*l**3)*(862 + 1739 + 452 - 103 + 364).\nAnswer: 6628*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 412, 780, 1072, 1288, 1428, 1492?\n\"Answer: -38*x**2 + 482*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buouokokookkwoobko. What is prob of picking 2 b, 1 u, and 1 w?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 1c35?\nAnswer: -1c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:53 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3741765?\nAnswer: 3, 5, 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(10)\/(sqrt(16)\/sqrt(2)) - -6*sqrt(50)\/(sqrt(10) + 2*sqrt(10)))**2*-1.\nAnswer: -137\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*x**2 - 6*k**2*z - 4*x**5 + 4*x**4*z + 2*x*z - x wrt x.\nAnswer: -4*k**2 - 80*x**3 + 48*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1027*b + 338*b + 340*b + 348*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -47 (b) -0.5 (c) 0.5 (d) 403 (e) 2\/3 (f) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-162)*693\/462.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 44, 61, 78, 95, 112?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 117 = -n. Let z = 42 - n. Suppose 0*p = p - 4. Solve p = -z*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 11 + 4. Let w(l) = -21*l**h - 7*l**2 - 3*l**2 - 15*l + 22*l**3. Let s be w(12). What is s rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 7*f - 9*f - 19 = 0, 5*f + 22 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*c = 0, -3*c - 12 = -2*a - 8*c. Let w = a - -3. Let l = -365\/28 - -51\/4. Is w > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/11 + (-76)\/418. Solve -u*n = -2*j - 3 + 5, 5*n - 4*j = -6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146967.\nAnswer: 1146967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805340529?\nAnswer: 23623, 76423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8*x**4 - 896*x - x**2 + 1744*x - 833*x in the form m*x**2 + r + j*x**4 + q*x**3 + g*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (457\/((-16909)\/(-2220)))\/((-1)\/(-1))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - -203308?\nAnswer: 203349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 23*n**2 - 3*n + 4. Let r(s) = 48*s**2 - 7*s + 9. Calculate -7*b(p) + 3*r(p).\nAnswer: -17*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(1 + sqrt(1573) + sqrt(1573)))**2 + -5.\nAnswer: 704*sqrt(13) + 100686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -798 + 1482. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = -4*x - 5*i, 4*i + 12 = -x. Suppose -l + 6 = -0. Let f be 3\/l + (-22)\/4. Sort f, 5, x in decreasing order.\nAnswer: 5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + 0)\/(346\/692). Suppose 0*q = 5*q. Let h = q - r. Is h equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 63498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -518 divided by -21\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c + 3630 - 291. Which is smaller: -372 or c?\nAnswer: -372","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2542 - -1211?\nAnswer: 4153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.8 + 6. Let z = -4 - s. Let w be 1\/(6 - (0 + 2)). Sort w, -5, z in decreasing order.\nAnswer: w, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-748)\/(-21505))\/(90\/69).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/5 - 1036599*y**2\/5 + 178206276*y\/5.\nAnswer: 3*y*(y - 345361)*(y - 172)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398103183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(1\/(-2)). Let m = 7 + -2. Find the second derivative of -w**5 + z*w**5 - m*w**5 - 4*w + w**5 wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5944, 11889, 17834, 23779, 29724?\n\"Answer: 5945*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*d - 9, -3*d = 2*q + 3*q - 7. Sort -4, -15, q in descending order.\nAnswer: q, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139*18\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12651 + -67.\nAnswer: 12584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3124 - -3133. Solve p*h - 12*h - 4*m = 0, -2*h = 5*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r**2 - 4*r + 1. Let b(f) = -f**2 + 7*f - 6. Let n be b(5). Let z(i) = 3*i - 12. Let s be z(n). Suppose 4*y - 9*y + 15 = s. What is j(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022102 - -2?\nAnswer: -10022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 39. Which is the nearest to 0.1? (a) p (b) -4 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 3. Let l be ((-1)\/(-4))\/(7\/y). Sort -1, 1, l.\nAnswer: -1, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + 0*j)*(86 + j - 178 - 2*j**2 + 80).\nAnswer: 4*j**3 - 2*j**2 + 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and -109299073.\nAnswer: -109299063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s + 57*s = 66. Suppose -s*n + 35 = -17*n. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -683.8 and 0.4.\nAnswer: -683.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51753337430.7 + -0.5.\nAnswer: 51753337430.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/17)\/(h\/h**(-5)))\/(h**(-2\/3)*h*(h\/(h*h*h**(-5)*h))\/h*h*h))**(-39) assuming h is positive.\nAnswer: h**(6773\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 7734\/1816 + (-92)\/368. Let w(c) = -2*c - 1. Let f be w(2). Let r be 2 + f + 2 - 0. Is m >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 36*(1\/2 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, q: 2}. What is prob of sequence yq?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (3 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2695*u - 2698*u + 7, 0 = 2*u + 4*l - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*z + 25393 + 14887. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5075526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -16*b - 169. Let f be j(-10). Let a(q) = -q**3 - 9*q**2 + 6. Determine a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 194 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l**2 + 1 + 24*l**2 - 9*l**2 - 2*l as i*l + x + n*l**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 622?\nAnswer: 621.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 8. Suppose 4*a = -4*c - 24 - 4, 4*c + 5*a + 33 = 0. What is the closest to c in s, 4, 0.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000370498979 to 5 decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12\/1667?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j - 13. Let a(h) = -3*h + 6. Suppose 12*b - 5*u + 47 = 16*b, 5*u = -2*b + 21. What is b*a(l) + 6*g(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 9:22 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63256*r + 71023 wrt r.\nAnswer: 63256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 17, 13, 7, -1, -11, -23?\n\"Answer: -h**2 + h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5 - 15. Let t = d + -2. What is the third derivative of 2*x**t + 0 + x**4 - 3*x**2 + 0 wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(65\/(-2))*158\/(-948).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11935 + 661 = 4*v, -v + 3149 = -3*t. Which is smaller: v or 3150?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 - 102*p + 32. Calculate k(-21).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**3 + 165752995*t**2 - 331506005*t + 165753005 = 0.\nAnswer: -33150601, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6187975.8 rounded to the nearest 100000?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/75, 8, 0.3 in decreasing order.\nAnswer: 8, 0.3, -2\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 72 = -35*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9021616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 671, -1, 7, -3 in increasing order.\nAnswer: -3, -1, 7, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -27. Let f(o) = -5*o - 17. Let g be f(d). Suppose -2*a - g = 10. What is a rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103176 divided by 227\nAnswer: -103176\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 198\/9 - (0 + 1). Suppose -q = -16 + r. Let f(k) = -13*k - 6. What is the tens digit of f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 107. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6731.2 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2302*g**5 - 20*g**3 + 1668280*g**2 wrt g.\nAnswer: 138120*g**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1350919.2 milliseconds to minutes.\nAnswer: 22.51532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120331301 - -3?\nAnswer: -120331232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-24) - (-58)\/(-6). What is the units digit of (-228)\/(-5) - 4\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2500, -2499, -2498, -2497, -2496, -2495?\n\"Answer: q - 2501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*l**2*y**2*z - 310*l**2*y**2 - 22*l**2*y*z + l**2 + l*y*z - 5*l*y + 35*l*z + y**2*z + 12*y wrt y.\nAnswer: 528*l**2*z - 620*l**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -166*s - 165. Let i be j(-6). What is the units digit of i*4\/45 + 22\/165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 47 = 12. Let n(b) = 9*b**2 - 2*b - 4. Let t be n(3). Suppose -8*w + t = -q*w. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 681831, 1363661, 2045491?\nAnswer: 2727321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vvvvviivvvviviivvv?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*d - 24 - 89, 0 = 4*r + d - 88. Suppose 5*v = v + 28. Calculate the greatest common factor of r and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9112307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.71241 years to millennia.\nAnswer: 0.04771241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11 - 8 = 0. Suppose 3*l - 10 = -1. What is the second derivative of -l*t**a + 3*t + 16*t**2 - 16*t**2 wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2 + 7\/2). Suppose 0*s = 2*s - 6. Suppose s*g - 35 = -t*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13113000 - -12?\nAnswer: 13113012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.197364ml in litres?\nAnswer: 0.002197364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 81993 - 25274. What are the prime factors of v?\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)\/(1\/2). Suppose 6 = -o*y - 0. Put -1, -4, y in decreasing order.\nAnswer: -1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2535608, -5071218, -7606828, -10142438, -12678048?\nAnswer: -15213658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-3))\/(15\/360). Find the common denominator of s\/(-15)*152\/96 + 2 and 64\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 51 = -5*l. Let v be (306\/24)\/((-9)\/(-24)). Let k = v - l. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -458 + 458. What is the second biggest value in i, 4\/5, 1\/9, 4\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 776, 784, 796, 812, 832, 856?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 + 4*k + 3. Let w be z(-2). Is (w\/20)\/((-1)\/8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 534, -7, -14 in increasing order.\nAnswer: -14, -7, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 251?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1048.\nAnswer: -5240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g - 5*j - 20, g = 2*j + 5. Suppose 11 + g = 8*d. List the prime factors of 408\/5 + d\/5.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1100) + sqrt(1100) + 1)**2 - ((sqrt(88) - (4*(sqrt(88) + sqrt(88)*-3) - sqrt(88)))\/sqrt(8))**2.\nAnswer: -120*sqrt(11) + 3309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/21*(-5047)\/(-13699).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**4\/12 - 3*p**2. Let h(y) = -7*y. Let r(g) = 6*g + 0 + 0. Let f(x) = -5*h(x) - 6*r(x). Determine q(f(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(432) - (2 + sqrt(432) - sqrt(432))*2)*-6)**2 - ((sqrt(33) - sqrt(2673)*-1)\/(sqrt(275)*1))**2.\nAnswer: -32268 + 6912*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 4. Let b(x) = x - 3. Let j(c) = -c + 3. Let w be j(3). Let z be b(w). Let s(l) = -5*l - 6 + 2 - 3 + 8*l. What is z*s(h) + 5*g(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38690173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 142.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, e: 6, s: 2}. What is prob of picking 2 e?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225 - -385. What is the common denominator of (18\/s)\/((-13)\/(-156)) and -85\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1057472 and 1820.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**2 - 63*s + 42. Give y(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*i = -0*i - 72, 0 = 5*r + 4*i - 180. What is the least common multiple of 186 and r?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f + 9. Let j(k) = 8*k + 3. Let y(m) = 4*c(m) - 11*j(m). Let s(g) = -g**2 - g - 1. Calculate -2*s(r) - y(r).\nAnswer: 2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 29. What is the highest common divisor of g and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186 (base 10) to base 9\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) -146 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + 4. Let p = l - 16. Suppose 3*i = -i + 3*w - p, 2*i - 2*w + 8 = 0. Solve 2*b - 2 = -i*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435 is divided by 348.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-454)\/(-2270)*(-220)\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214433 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 132.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75\/4 of a century?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19133280 is divided by 119583.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(-3 + 3 - 2) - 1 + 4 - 5)*(-a**5 - a**5 - 2*a**5).\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 873373 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -893*a**3*i - 1939962*a**3 + 449*a**2*i with respect to i.\nAnswer: -893*a**3 + 449*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9954 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.7 + -9.7. Let g be (-4)\/(-6)*(-18)\/16. Let w = 0.18 - 0.38. What is the second smallest value in g, w, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 1.2, 2\/221?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1892*l - 41616. What is n(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9077592 * 0.3\nAnswer: 2723277.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4797 and 2?\nAnswer: -9594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -465 - 531. Let m = i - -996.000491. What is m rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -316, -315, -314, -313, -312?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 7*b - b)*(1 - 1 + 3*b**3) + 2*b**4 - 3*b + 3*b.\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**5 - 5379280*v**4 - 1576*v**2 + 3767*v wrt v?\nAnswer: -60*v**2 - 129102720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -5*h + 26. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7597, 7476, 7355, 7234, 7113?\nAnswer: 6992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -35 - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1205 + 1579. What is the highest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) - 5\/4. Let d(n) = n**3 - 8*n**2 - 22*n + 14. Let l be d(10). Let q be -3*(-5)\/(1 + l). What is the closest to 0.1 in 3, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99378094?\nAnswer: 2, 19, 1103, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -524.3?\nAnswer: -520.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - -4147. What are the prime factors of n?\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, 708, 2173, 4378, 7323, 11008, 15433?\n\"Answer: 370*o**2 - 385*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1088336, 2176917, 3265498, 4354079?\nAnswer: 5442660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.6 - -2.4. Let o = 488 + -1462\/3. What is the second biggest value in 4, c, -3\/7, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715707 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*5*sqrt(152)*-3)\/(sqrt(200)*2 - sqrt(8) - sqrt(16)\/(sqrt(4)\/sqrt(2))).\nAnswer: -15*sqrt(19)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 515, 678, 841, 1004?\n\"Answer: 163*f + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 1885 = -123*f + 81*f for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 38*b = 392. What is the second derivative of -b*g**2 - g**5 + 28*g**2 - 64*g + 22*g**2 wrt g?\nAnswer: -20*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**3 + b**2. Suppose -2*z + 3 = 1. Suppose f = z + 3. Let s be (5*-1)\/(0 - 1). Let l(k) = -6*k**3 - k**2. Determine f*o(u) + s*l(u).\nAnswer: -2*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -28*a + 173. Give j(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnqx when four letters picked without replacement from {b: 1, h: 1, q: 2, n: 2, x: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + 3*l**3 + 2*l**3)*(4*l**2 - 3*l**2 + 0*l**2) + 4*l**5 - 2*l**5 - 4*l**5.\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.05.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r**2 - 4*r + 4*r)*(-r + 2*r + 2*r)*(-2*r - r + 0*r).\nAnswer: 90*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v, -5 = 2*y - 2*v - 1. What is the remainder when 610 is divided by y + 4 - -2 - (-48)\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 1\/3*b**6 + 8\/5*b**5 + 0*b**4 + 0*b - 55\/2*b**2 - 38 + 0*b**3. What is the second derivative of u(i) wrt i?\nAnswer: 40*i**3 + 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5\/6, -9 in ascending order.\nAnswer: -9, -5\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/5 (b) -0.1 (c) 104 (d) -668 (e) -0.3 (f) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4114 = -4110 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7281798 to the power of 1\/2, to the nearest integer?\nAnswer: 2698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*p + 595 = -323, -2*s + p + 910 = 0. Let u = s - 7. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/120 + 17*o**5\/60 + o**4\/24 + 8*o**3\/3 - 7065*o**2 - 2. Calculate i(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:24 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 413*s + 23538. Calculate m(-57).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-74)\/55*15\/(-12) and 1\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-13)*n**15*n)\/(n**8)**(-9) assuming n is positive.\nAnswer: n**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -287.7939 and -0.09?\nAnswer: 25.901451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/9)\/w*w)\/(w**4\/w))\/((w*w**(2\/17))\/((w*w**(3\/2)*w*w)\/w)))\/(w**(2\/9)\/(w*w**(5\/6)))**50 assuming w is positive.\nAnswer: w**(8165\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-33)*3\/2. Solve u = -2*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115990524 divided by -122?\nAnswer: 950742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10\/(120\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11192?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -179986349, -359972695, -539959041, -719945387?\n\"Answer: -179986346*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + 1)**2 + (-1*sqrt(110) + sqrt(110) - sqrt(110))\/sqrt(10).\nAnswer: sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0311 (b) 0.04 (c) 93.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/80, -12, 2 in descending order.\nAnswer: 2, -1\/80, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k + 22. Let d be y(-10). Let p be (132\/d)\/(1\/(-4)). What is the highest common factor of 1342 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114562 and 49?\nAnswer: 114562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 30*h = -29*h. Solve -589*g + 587*g - 12 = h for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j - 118*j**2 + 378*j**2 - 114*j**2 + 6*j - 148*j**2. Let g(h) be the second derivative of 23*h**4\/4 + h. What is k(g(y))?\nAnswer: -9522*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3*q**3 + 5*n**3 - 669*n**2*q + 10*n*q**3 + 712*q**3 wrt q?\nAnswer: -6*n**3*q + 60*n*q + 4272*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -1688\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193535 + -193538. Let s be ((-4)\/70)\/((-2)\/10). Which is the fourth biggest value? (a) -1 (b) g (c) -4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 11*s - 17. Let n be f(-7). Let x(y) = y**3 - 3*y**2 - y - 8. Calculate the smallest common multiple of 6 and x(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -71*z + 3 + 8*z - 4 - 9*z. Let c be m(-1). Suppose 2*t + 4*a - 122 = 0, 2*t = t + 3*a + c. Calculate the greatest common factor of t and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-936))\/((-20)\/(-24))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1654*c + 2422 - 1702*c + 3359*c.\nAnswer: 3*c + 2422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2606*u - 1815. What is the tens digit of o(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -473.999543 + 474. Round n to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18619482323 less than 506?\nAnswer: -18619481817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 17*b**3 - 87*b**2 + 22*b - 55. Let r be z(5). Solve r = o - 5*t + 20, 2*o - 5*t = -15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 290*f**2 - 94*f - 300. Calculate o(97).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - 320\/(-55)) + 1261820\/55 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -140051 + 106?\nAnswer: -138844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130075 = 2*t - 39*g + 38*g, -6 = 2*g. What are the prime factors of t?\nAnswer: 2, 71, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 10*i**2. Let l(t) = -3*t**3 - 21*t**2. Let x(m) = 4*l(m) - 9*r(m). What is the third derivative of x(q) wrt q?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9712\/12140*-3*14\/(-6)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -352.05 + 352. What is the third smallest value in 1\/3, -4\/5, z, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 0.1, -47, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p - 22. Determine i(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r*s**3*u - 2*r*s*u**2 - r*s - r*u - 73*s**3*u**2 + 2*s**2*u**2 + s**2*u wrt u?\nAnswer: -4*r*s - 146*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/(-420)*6\/(-10).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4606 divided by -644.\nAnswer: -329\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*v + 6. Let j(q) = -4*q - 40. Let n be j(-18). Suppose 5*w + 81 = 3*u - n, -2*u - 2*w = -54. Solve -5*o - 5*t + u = -2*t, v*o + t - 17 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 30342158?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/41, 3\/2, 3, 4824?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -5, 2\/13, -7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740775, 742186, 743599, 745014?\nAnswer: 746431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -45. Solve -c - m = -3*m, 5*c + v*m + 15 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*(w\/(w**(2\/7)\/w))\/w)**(-1\/8)*w\/(w\/((w*w\/w**(-3\/10))\/w))*w*w**6*w*(((w\/(w**2*w))\/w)\/w*w*w)\/(w\/((w*w\/(w\/w**1))\/w)) assuming w is positive.\nAnswer: w**(1097\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 + 8\/4. Suppose -g*k = -3*u - 12, 2*k - 3 = 3. Are u and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfj when three letters picked without replacement from ffsoj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -12, 5.\nAnswer: -12, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:00 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {m: 1, p: 4, g: 3, h: 2, d: 3, x: 4}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 499.9 + 2.173889482.\nAnswer: 502.073889482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 337?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*g = 144, -24*g = 5*x - 25*g - 636. What is the least common multiple of x and 210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-4)*-6*1. Let j = u + -18. What is the tens digit of (-51)\/15*15\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = 9*m - 2520. What is the highest common factor of m and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 19680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f + 3 - 12*f + 9*f + 4*f - 5*f. Let a(i) = 5*i + 5. Determine 4*a(z) - 7*v(z).\nAnswer: 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1020)\/(-119) - 8 - (-3 - (8 - 16) - 4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 19*d**2 - 69*d + 777. Let o(a) = 9*a**2 - 32*a + 388. Determine 6*f(l) - 13*o(l).\nAnswer: -3*l**2 + 2*l - 382","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 - -130. Solve 2*t + f + 0*f = -10, f + 22 = -l*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 812, 2799, 6328, 11579, 18732, 27967, 39464, 53403?\n\"Answer: 30*h**3 + 591*h**2 + 4*h + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (28 + 18) - (19 + -28 + 1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-45) - (-69)\/54. What is v in -g*v**4 + 9\/2*v**2 + 0*v**3 - 3*v + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.14 + 34.14. What is the second smallest value in 12, u, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 3}. Give prob of sequence qwqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 31) + 6 - (-1 - -13)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003344 to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*(8\/(-154))\/(42090\/(-15433))?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -93, -163, -233, -303, -373?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -32*f. Let n be z(-3). Suppose -m - n = -3*m. Suppose 0 = -2*t + m - 10. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*4\/3*1. Factor 0*v + 2\/3*v**c + 0*v**2 + 2\/3*v**3 + 0.\nAnswer: 2*v**3*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-44))\/((-270)\/330).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 870 (base 11) in base 14?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 t, and 1 v when four letters picked without replacement from {t: 4, c: 1, n: 2, v: 2, f: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 94956*s - 1138896.\nAnswer: -4*(s - 23727)*(s - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-40) + -49*(-6423)\/40230. Let i = j - 270\/149. Calculate the common denominator of i and 1\/(-6)*546\/(-20).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frr when three letters picked without replacement from frr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430091511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 148 = -0*p - 2*b, -b = 1. Let z = 60 + p. Let j = 52 - z. Calculate the greatest common factor of 55 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 + 11ce3?\nAnswer: 11d08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*y - 57 = 90. Which is the third smallest value? (a) -1\/7 (b) -0.1 (c) y (d) -451\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163768192 and 588.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9185, -73563, -248315, -588629, -1149693, -1986695, -3154823, -4709265?\n\"Answer: -9198*y**3 + y**2 + 5*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 1:16 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/33 (b) -2\/9 (c) 8 (d) 1235 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 7. Let x = 8 + m. Suppose -3 + x = -3*a. Is a at least as big as 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-9)\/(-3))*(-25)\/(-5)*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (4 + (-6 - 0)). Suppose -27 = -2*q + h, 4*h + 0*h = -u*q + 2. What is the remainder when 19 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 38346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 less than or equal to 686\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 27 - 29. Let c(m) = 1783*m**2 - 2*m. Let z be c(x). Let r = z + -1016. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + k**3 - 5*k**2 + 2*k**2 + 5*k - 4. Is q(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Suppose -d = -0*d - 4. Let g be (5\/d)\/(9\/36). Solve -2*p + 18 + 6 = g*z, -4*p = -s*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -24*h**2 - 3*h + 64. Let y(w) = 3 + 25*w**2 + 24*w**2 - 1 - 50*w**2. Let s(c) = -k(c) + 5*y(c). Differentiate s(b) with respect to b.\nAnswer: 38*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83832*l**5*p**2 - 2*l**3*p**2 - l*p**2 + 108016*l*p - 2*l wrt l?\nAnswer: 1676640*l**3*p**2 - 12*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -75\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 10*u + 19. Let t be g(9). Suppose 0 = 4*z + 3*y - 155, -27 = -3*y - 24. What is the greatest common factor of t and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/275 and -3 + 1 - (5 - 76\/(-40)).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 13*i**2 + 13*i - 13. Let v be k(-14). Suppose -3*w = -4*w + v. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 638*w**2 + 823*w**2.\nAnswer: 185*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 14460*z - 20. Suppose 2 = i, i + 61 = -5*h - i. Let s be l(h). Round s to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 11) in base 6?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 204485?\nAnswer: 2044850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25148 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m + m - 8 + 5 + 10 + 13 to l*m + i and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -491, -987, -1483, -1979, -2475, -2971?\n\"Answer: -496*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.32 + -61.38. Let o = 89 + i. What is o rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2462 + -2435. Calculate the remainder when 141 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68150.61 millilitres to litres.\nAnswer: 68.15061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2. Let v(z) = -2339*z. What is c(v(k))?\nAnswer: 10941842*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*r - 17534 - 30036 - 6534 + 5724 = 0 for r.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.203 and -2.\nAnswer: -12.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, 943, -1, -3, -235 in increasing order.\nAnswer: -235, -13, -4, -3, -1, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -12*y - 250*y**2 - 2*y + 248*y**2 + 18. Let b be v(-8). Solve -3*n - 4 = -b*n + 2*u, 5*n + 2 = -4*u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/4 - 1355*j\/4 - 1014 = 0.\nAnswer: -1352, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2278 + 2273. Which is the fourth smallest value? (a) -2 (b) n (c) -2\/9 (d) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28*(12\/14 - (-9 - -9)). Calculate the greatest common divisor of 636 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let i = 16 - -21. Let g be (132\/36 + -4)*12\/(-2). Let z(n) = 17*n**2 - i*n**g - 28*n**2. Determine y(z(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 - -3. Let u = 15 + -19. What is the smallest value in u, 0.4, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498727925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100110101122110 (base 3) to base 9\nAnswer: 10411573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*o + 168428 = -126372 - 27148. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 437*z**2 + 11954*z + 2358512.\nAnswer: (z - 391)*(z - 104)*(z + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 2\/7, -1.7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19339?\nAnswer: 83, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3088*y - 171*y**2 + 3088*y)*(61*y - 2 - 33*y - 34*y).\nAnswer: 1026*y**3 + 342*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -177488*v - 2. Let k(p) = -12*p**2. Determine t(k(o)).\nAnswer: 2129856*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.9 - -46.1. Let g = -53.00000018 + p. Round g to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0328239 rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85151*q**3*x - q**3 - 3*q**2*x - 82*q*x - 3140*q + 2*x - 1 wrt q?\nAnswer: 510906*q*x - 6*q - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 134. Let s(p) = 3*p**2. Give t(s(w)).\nAnswer: -6*w**2 + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 8, 23?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u - 3*u**2 - 22*u)*((-67 + u + 2*u + 78)*(u**2 + 3*u - 3*u) - 3*u + 3*u - u**3).\nAnswer: -6*u**5 - 33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7029, -7055, -7081, -7107, -7133, -7159?\nAnswer: -7185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3634*f - 1097*f + 64291 + 103151 = 0 for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16257263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51138111 to the power of 1\/2, to the nearest integer?\nAnswer: 7151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 57 + (0 - 29)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*s**4 + 41*s**4 + 32*s**4 + (5 - 3 + 1)*(s**4 + 0 + 0) + 2*s**4 - s + s as i*s + j*s**2 + t*s**4 + r*s**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 0.5, 3, 0.4, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 21 = p, 3703*f - 7*p - 17 = 3701*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 781 and 355?\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1348*i**3 + 2*i**2 + 3*i**4 + 1345*i**3 + 0*i**4 - 2 to d*i**4 + k*i**2 + l*i + t*i**3 + s and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -129 + 252 + 65*p**2 - 121 as o + r*p + g*p**2 and give g.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207465549 a multiple of 3424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 2. Let k be g(-2). Let i(f) = -f**3 + 3*f**2 - f + 1. Let y be i(2). Sort 5, y, k in ascending order.\nAnswer: y, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 251, 11 in decreasing order.\nAnswer: 251, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 145?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(459) + 1*sqrt(459))*3)\/(-6*sqrt(36)\/sqrt(4)))\/((sqrt(96)*1 - sqrt(6))\/(-1*sqrt(8))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647479092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -56244 (base 7) to base 9\nAnswer: -21420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 232 + -229. Suppose a + t - 8 = 0, 0 = 5*f - 3*a + 20. Which is greater: f or -9\/40?\nAnswer: -9\/40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 q when three letters picked without replacement from ssvpsvgvvvvsssvsq.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 25, 7, -3, 3.\nAnswer: -3, 2, 3, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from jjijeyejemj?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6917 - 6946. Sort c, -58, 3 in descending order.\nAnswer: 3, c, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 62. Let y = 162.4 - 162. Which is the third biggest value? (a) -3\/2 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7091547012.\nAnswer: 2, 3, 11, 17907947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2161771*q**2*t + 21254*q*t + 2*q + 39*t wrt q?\nAnswer: 4323542*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/8)*d**(-3\/4))\/(d**(4\/9)\/d*(d*d*(((d*d\/d**(-2\/5))\/d)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(101\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 5*a + 4. Let j(z) = -3*z**2 - 10*z + 8. Let o(l) = -5*h(l) + 3*j(l). Let p = 4 - -1. What is the lowest common multiple of 3 and o(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 58*n + 1319. Calculate r(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeyouwuyooheueh. Give prob of sequence owu.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 40*c**2 + 32 - 58 to the form v + z*c + w*c**2 and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1345372 by -5.\nAnswer: 1345372\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 533*i**4\/4 - 59*i**3 + 567. What is the third derivative of f(b) wrt b?\nAnswer: 3198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 3. Let d(x) = x**2 + 55*x - 1. What is -2*c(l) - d(l)?\nAnswer: -l**2 - 53*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**21\/(o**(1\/6)\/o*(o\/(o**(-1\/5)\/o*o))\/o))\/((o*o**1)**35*o**1*o**1) assuming o is positive.\nAnswer: o**(-2561\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -54, 3, -8\/27, -1\/11 in descending order.\nAnswer: 3, 0.2, -1\/11, -8\/27, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -30. Let f be w\/(28\/12)*-7. Let b be -4 - (f - 0)\/1. Solve 4*a - b = -1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/4)\/((-6)\/24). Suppose k*l - 5*j + 10 = -0*l, 2*l + j = 8. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**3 - 6*m. Let b(x) = 1. Let f(u) = 3*u + 3. Suppose -3*g = -0*g - 3. Let i(y) = g*f(y) - 3*b(y). What is i(p(k))?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1616700 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1424 + 2721. Let c = r - 1164.9. Round c to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:58 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 f when three letters picked without replacement from fffffoofofofo.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:20 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 47*g**2 - 3*g - 64. What is the units digit of w(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4\/7 + 1584*j**3 + 20426384*j**2\/7 + 1783745856*j - 3579176608 = 0.\nAnswer: -1946, -1654, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 657*r**3 - 201*r**2 = 0.\nAnswer: 0, 67\/219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 378584380 rounded to the nearest one hundred thousand?\nAnswer: 378600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-57)\/12 + 6\/(-24). Let m(l) = l**2 + 3*l. Let r(n) = 9*n + 3. Let w(s) = s**2 - 10*s - 5. Let t(b) = 3*r(b) + 2*w(b). Calculate k*m(y) + 2*t(y).\nAnswer: -y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 954305337 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4031539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -2*m**6\/15 + 1342*m**5\/5 - 448897*m**4\/3 - 601216*m**3 - 903168*m**2 + 1481*m. Solve z(a) = 0 for a.\nAnswer: -1, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) + 420\/126 - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**2 + 6*m - 13. Determine v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-9 - -2) + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41343 (base 8) in base 3?\nAnswer: -212111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 3*l - 7. Let d be v(5). Suppose -42 = -0*x - d*x. Suppose 4*z + y + x = 69, 4*z = 3*y + 43. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 132.693 hours?\nAnswer: 477694.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16590 and 3521346.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(209) - (sqrt(209) + 3*sqrt(209) + sqrt(209))) + sqrt(209)) + sqrt(209))\/(sqrt(176) + -3*sqrt(176)).\nAnswer: 5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o + 11. Let i be (18\/27)\/((-4)\/(-12)). What is b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20829 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 464\/(-46) - -4 - (-2)\/23. Let r(y) = -9*y - 4. Let c(d) = -9*d - 5. Determine h*r(i) + 5*c(i).\nAnswer: 9*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2349 and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3068*g + 8631 = -5982*g + 3051*g for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + z**2 + z**2 - 2*z. Suppose 0 = 4*j - 3*y - 20, -j + 6*j + 5*y = -10. Let s(h) = -4*h - 4*h**j + 4*h. Give s(m(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.085*16.7.\nAnswer: -1.4195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, u: 5}. What is prob of sequence mumm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/((u**(-3)*u*u)\/u)))\/u)\/u)\/((((u**(-1\/4)*u)\/u)\/u)\/u)*(u\/(u\/(u*u\/u**8)))\/u**(-2))\/(u*u**(-1\/2)\/u*u*u**(-8)*u*(u**0)**24) assuming u is positive.\nAnswer: u**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-17)\/(-12))*12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*s**3 + 3*s*x - 422*x wrt s.\nAnswer: -96*s**2 + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.24 and -0.008.\nAnswer: 0.08192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q**3 + 2. Let k(w) = -2*w. Calculate j(k(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a0 (base 13) in base 6?\nAnswer: -21042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -41*n**3 + 5*n**2 - 2*n + 3902. Let v(d) = 43*d**3 - 3*d**2 + 3*d - 3897. Let q(w) = -3*f(w) - 2*v(w). What is the first derivative of q(r) wrt r?\nAnswer: 111*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3893 * -4089.\nAnswer: -15918477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -120*y - 322. Let m be 8\/(-6)*(-1 + 66\/12). Is t(m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.011 + 3467355410.\nAnswer: 3467355409.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/sqrt(10))\/sqrt(12) + 5.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 10. Let d be g(8). Let x be (1*6)\/(d\/28). Suppose -6*w + x*w + 20 = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 31 - 1 = 0. Suppose -18 = -j - 0*j. Let o = u + j. Calculate the least common multiple of o and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + b + 44 - 137 = 0, 3*b = -9. Let j = 206 + -21. Calculate the remainder when j is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) 84 (c) 12 (d) 19.2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d - m, -6*m + m + 5 = 0. Solve 2*b + 2*a + 24 = -2*a, -d*b = 5*a + 29 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195621977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 876?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 761439296 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-665\nAnswer: -199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a + 3*l + 15 = 0, -5*a = -3*l - 19. Let s(o) = 2*o - 1 - 2 + 2*o**2 + 0*o**3 - o**3. Give s(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*s - 4, 4 = y + 3. Let u be 90\/12 - (-2)\/1. Let c = -37\/4 + u. What is the smallest value in c, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950 divided by -8141.\nAnswer: -950\/8141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - -4033?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 9*u - 11*u - 9, -4*u = -3*h + 21. Suppose -h*d - b = -0*d - 682, 0 = 3*d - b - 680. Is 67 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-332)\/249 - (-88)\/30.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -45120 divided by 376\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 3, k: 2, i: 2, x: 6}. What is prob of picking 3 x?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 177, 3 in increasing order.\nAnswer: -2\/5, 3, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60.2, -5, -11.8, 3, 0.4, 3\/8.\nAnswer: -60.2, -11.8, -5, 3\/8, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*w, 3*a + 3*w + 38 = 5*a. Let u = a - 112. Let x = u - -406. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 2\/13 (c) 8 (d) 9 (e) 5.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 6933256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4222, -8441, -12660, -16879, -21098, -25317?\nAnswer: -29536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from pafpuapiaxuuaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 16 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4. Suppose j = 3*h + h + 8, -m = -3*h - 62. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*n)*(-5*n - 5*n + 3*n) + (-65*n + 125*n - 37*n)*(-n + 0*n + 2*n).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*q + 16 - 8 - 8)*(-2 + 1 - 1 + (2 - 2 + 2)*(-2 + 2 - 1) - 3 + 0 + 1 + 0 - 1 - 1).\nAnswer: 1104*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5734, -22862, -51344, -91126, -142154, -204374, -277732, -362174?\n\"Answer: 9*x**3 - 5731*x**2 + 2*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90619331*y**5 + 28*y**2 - 697142 wrt y?\nAnswer: 5437159860*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -10. Let d be z\/(-6) + 2\/3. Suppose -2*r = -d*r + 8. Put 2, 4, r in decreasing order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 7. Let a(f) = -2*f + 4. Let i(s) = -10*a(s) + 6*p(s). Suppose 3 = o - 0*o. Is 4 a factor of i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*k - 10*k = 0, 2*x + 3*k + 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 2\/5 (c) -0.1 (d) -15 (e) 2\/291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 + 112. Let x be (2 - 16\/6)*-3. Let i = 6 - x. What is the remainder when i is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, p: 5, j: 5, w: 6, q: 1}. What is prob of picking 2 j, 1 q, and 1 w?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c9 (base 16) to base 15.\nAnswer: 189b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189436660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/7 - (-10)\/(-35). Suppose -2*v + t*v = -2. What is the units digit of v\/(-2 - (-6)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1693721, -1693720, -1693719?\nAnswer: -1693718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/56)\/(380\/(-6384)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498\/25 - ((-756)\/(-1323))\/(50\/(-7)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -29*x - 289. What is t(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*-195.\nAnswer: 448.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3564*l*z**4 - 2*l*z**3 - l*z**2 - l*z - 3*l + 7*z**3 + z**2 - 10832 wrt z?\nAnswer: -85536*l*z - 12*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 1. Let t(u) = u**2 - u + 15. Determine -2*j(h) - t(h).\nAnswer: h**2 - h - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3569 + -24985\/7. Let g = 0.93 + -0.13. Which is the closest to g? (a) o (b) 0.2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.5073 millilitres to litres.\nAnswer: 0.0635073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*m + 5, 2*y = -5*m + y + 14. Let d(o) = 2*o**3 - 3*o**2 + o - 4. Is d(m) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = 2*i. Let g be (2\/2)\/((-1)\/i). What is the second derivative of -4*d - g*d + 2*d - 2*d + 7*d**4 wrt d?\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300023548 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -2, -5, 1 in descending order.\nAnswer: 2, 1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 9:10 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*i**2 - 9*i**2 - 99*i**2 - 47*i**2.\nAnswer: -274*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by (0 + -15)*(-36)\/27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055782099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25045872 is divided by 686.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6213.544 hours to milliseconds.\nAnswer: 22368758400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*x + 3*x, -367 = -3*j - 2*x. Calculate the remainder when j is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/j*j*j\/(j\/(j*((j*j**(-9))\/j)\/j*j)))\/(j\/(j*(j**(1\/8)*j*j)\/j*j)*j\/j**(-11\/5)) assuming j is positive.\nAnswer: j**(-347\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119836 + 1.89.\nAnswer: 119837.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 0 - (-3 - -1). Let s = k - -4. Suppose s*t = -t + 50. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -253*m - 2020. Let v be n(-8). Put 1, v, -1, 5, 26 in decreasing order.\nAnswer: 26, 5, v, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r**2 - 43*r + 5. Let v = 1 - -3. Let i(g) = -81*g**2 + 216*g - 24. Let j(x) = v*i(x) + 21*d(x). Let j(t) = 0. What is t?\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16285190*a*g*k**2 - a*g - 2*a*k + a - g*k**2 - 2*g*k + 34*k - 2416 wrt k?\nAnswer: -32570380*a*g - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 r when four letters picked without replacement from {l: 6, t: 7, h: 1, r: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 3*x**2 - 3*x**2)*(-3 + x + 3)*(-9 - 3 + 0).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 10 = -5*m, 41*u + 5*m = 36*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 3\/4, -220 in decreasing order.\nAnswer: 3\/4, 0.3, -3, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 9*g - 5. Calculate s(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 13*b**5\/60 + b**4\/3 - 2*b**2. What is the second derivative of z(a) wrt a?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479844 (base 12) in base 5?\nAnswer: 244012421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 3*u - 5. Let a be w(-4). Suppose -3*t - 3 + a = 0. Find the second derivative of 2*l - l + l - l**t wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - q - 3 - 1 = 0, 1292*q = 1297*q - 10 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k - 1. Let s be z(-1). Let a = 6 - s. What is the highest common factor of 10 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - (sqrt(117) - (sqrt(117) + 2*sqrt(117) + sqrt(117))*3))) + sqrt(117)*-2*-4)\/(sqrt(90)\/(sqrt(160)\/sqrt(4))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3546.9 + -3547. Which is the closest to t? (a) -31 (b) -2\/27 (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 + 10*y - 8. Let u be l(2). Which is the closest to 2\/3? (a) 5 (b) u (c) 0.5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6*(-4)\/(-60))\/(4\/10). Let c = -5 - -1. Calculate the remainder when i\/(-2) - 26\/c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154.99 - 152.99. Let p = -2\/9 + -8\/45. Sort -2.6, g, p, 1\/6 in ascending order.\nAnswer: -2.6, p, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 22 = -2*w, 2*u - 31*w + 32*w = -14 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36f15 (base 16) in base 14?\nAnswer: 5c029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-112)*-7 - 7\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 8136451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 51. Let p be b(17). Let h(d) = -7*d + 231. List the prime factors of h(p).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 7*m = -4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1358 divided by -2.\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**0)**35*a**(7\/3)*a**1*((a**(-1\/4)\/a*a)\/a)**(5\/6)*((a\/a**(-2\/9))\/a)**(2\/115) assuming a is positive.\nAnswer: a**(888407\/8280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017942034 rounded to six decimal places?\nAnswer: -0.001794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 9 - -7 - (-6 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1882, 316, -2256, -5804, -10298, -15708?\nAnswer: -22004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 11:22 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 106.95. Let s be (-1 + 9)*(-1 + (-3)\/(-6)). Put s, 2, g, 0.4 in descending order.\nAnswer: 2, 0.4, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2171020052 + 710.2?\nAnswer: 710.4171020052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 6) to base 15.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139.03 + 152. Let t = 13 - f. Let u = t - -0.47. What is the third biggest value in u, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 + -0.66. Let s = 0.026 - -2.974. What is the second biggest value in s, m, 0.2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4 + 4958*x**3 - 4962*x**2 - 4958*x + 4960 = 0.\nAnswer: -2480, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - a6?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 13*i + 4*i - 11 + 2. Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20262581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -392, -876, -1360, -1844, -2328, -2812?\n\"Answer: -484*h + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 1:59 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**41*((m*m*m**(-2\/3)*m)\/m)**31)\/((m*m**(1\/4)\/m*m*m)**(-24)*(m*m\/m**(-2\/11))\/((m\/m**0)\/m)) assuming m is positive.\nAnswer: m**(4427\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5176 = 8*b + 544. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 36760 - 11210 + 15602. What are the prime factors of g?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74)\/12 + 58 + -51. What is the nearest to -0.3 in r, -4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 1, u: 1, z: 1, y: 2, p: 1}. Give prob of sequence yqp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4291195863.\nAnswer: 3, 31, 46141891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146606*-2.\nAnswer: 293212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:46 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -58, -172, -376, -700, -1174, -1828, -2692?\nAnswer: -3796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810347 - -779590199.\nAnswer: 780400546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 139, 124, 71, -38, -221?\n\"Answer: -3*o**3 - o**2 + 9*o + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 1484\nAnswer: 44.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 1\/5, 71, -0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*x + x + 364. Let w be 8\/x*(-8 - -1) + -2. Solve k + w*k - 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 20 = -5*o, -5*f + 20 = o - 2*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*o + 364*o - 8 = 0. Suppose -o = -31*s + 32*s. What is the nearest to -1\/4 in -4, -12, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.06032kg to tonnes.\nAnswer: 0.03906032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*f + 7482036 - 21522042 = 0, 0 = -5*u - f + 23400002. Suppose 5*i = 11*i - u. What is i rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66864632 or -66864631?\nAnswer: -66864632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/4))\/((r\/((r\/(r**7*r*r))\/r))\/r) assuming r is positive.\nAnswer: r**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/2)\/(y\/(y**(-8)\/y*y*y*y*y)*y))\/(y**(-1\/3)*y)**(-48))**(15\/4) assuming y is positive.\nAnswer: y**(705\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 24 = -22*y. Suppose -6*p - 15 = -3*p. Let h = -1 - p. What is the greatest common divisor of y and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.07? (a) 2 (b) -1\/4 (c) -2\/5 (d) -1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 7, -3, -102.\nAnswer: -102, -3, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41224160?\nAnswer: 2, 5, 101, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (92 - 138) + -4 + 3\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*f**3*n - 2956*f**2*n**2 - 18433*n**2 - 2*n wrt f?\nAnswer: -90*f**2*n - 5912*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (44 - (0 - 3))*(-9)\/(-85). Let n be 0\/((-1 - -9)\/4). Which is the closest to -1? (a) n (b) 5 (c) 0.1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*g - 4*g = -18, -23 = -r + 5*g. Let q(a) = -10 + 6*a**2 - r*a**2 + 17 - a**3 + a. Is q(-8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -10. Is 8 a factor of 24\/(-5)*(t + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.7*0.4\nAnswer: 11.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0*t**2 - 1\/3*t**4 + 0 + t**3 - 1\/10*t**5 - 50*t. Factor q(w).\nAnswer: -2*w*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((5\/40)\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 15*z - 23. Let a be y(13). Let b(v) = 1. Let x(k) = k + 3. What is a*b(q) - x(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3\/l)**(10\/3)\/((l*l*l\/(l\/(l\/(l\/l**(-8\/7))*l))*l)\/(l**13\/l*l)) assuming l is positive.\nAnswer: l**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/151992 and 91\/101328?\nAnswer: 303984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-15 + 9 + -2 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.182.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:05 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:18 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/(-90))\/((-9)\/25). Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 362 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:20 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 212 + -434. Let c be u\/(-42) + (-2)\/7. Let z be (5\/4)\/((-1)\/(-16)). Solve -z = -c*o + o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzzzjsesej. What is prob of picking 1 z and 1 j?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01856 - 4.98144. What is the biggest value in f, -3\/4, -14, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0, 9.\nAnswer: -4, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 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: Round 2194.011 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.81 + 0.559?\nAnswer: 13.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 3*y**2 - y. Let o be x(-5). Suppose -4*h = -3*w - o, -w = -2*h - h + 45. What is the highest common factor of 32 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 1. Let c(f) = 48*f**2 + 2*f - 1. Let a be c(-1). Let y(q) = 16*q + 0*q**2 - a + 29*q + 0*q**2 + 9*q**2. Give 45*s(n) + y(n).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 18274278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2314 - 2319 - ((-4 - -7) + (93 - -2))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 651 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9829, -2, 8 in increasing order.\nAnswer: -2, -1, 8, 9829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -45*k**2 + 43*k**2 + 6*k - 2*k - 6*k**3 - 5 + 7*k**3. Determine r(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/40554 and -109\/540.\nAnswer: 405540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 114 = -122. Which is smaller: 3823 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28396530?\nAnswer: 2, 3, 5, 315517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -45*k**2 + 104*k - 1249. Determine m(6).\nAnswer: -2245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udududd. Give prob of sequence uu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -66*l. Let a(f) = -53*f**2 + 3. What is a(z(q))?\nAnswer: -230868*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1701583260 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 27*j**5\/4 - j**4\/12 + 271*j**2\/2 - 4*j - 516. Differentiate p(g) wrt g.\nAnswer: 405*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 3*f**2 - f**2)*(-3*f - f - 1 - f) + 2*f**3 + f**3 - f**3.\nAnswer: -8*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s - 30 = 55*s - 109*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.265 + 0.235. Let x = -21.1 + g. What is the biggest value in 61, 4, x?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2 - 19*g + 4 + 6*g**2 + 17*g. Let u be 0*(1 + -2) - -2. Calculate the smallest common multiple of 14 and i(u).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/(-12))\/(5*(-6)\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9764.391 centuries to years.\nAnswer: 976439.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**4\/12 - 8*i**3\/3 + 35*i**2\/2 + 19*i. Let n be f(-16). Let m = n - 9. Solve w = 3*a - 14, 3 - m = -3*w - 4*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.19794ng in grams?\nAnswer: 0.00000006819794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - 0) + (0 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2611.569809 rounded to the nearest integer?\nAnswer: -2612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108053?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/15*3 + 24. What is the common denominator of 23\/9 and (525\/1134)\/(j\/30)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*g = -290*g + 37*g + 23594 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1357, -3 in ascending order.\nAnswer: -1357, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.32, 8, -3?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + c - 2*c**2 + 12*c**4 + 1 + 499*c**3 - 13*c**4 + 0 to l*c**2 + w*c**4 + g*c + q*c**3 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -2*z**6\/3 + z**3\/6 + 131*z**2 - 147*z. What is the first derivative of r(v) wrt v?\nAnswer: -80*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -436 (base 11) to base 15\nAnswer: -24d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a + 102. Let n(m) = m**2 - 3*m - 204. Let b(v) = 6*n(v) + 13*u(v). Find the first derivative of b(k) wrt k.\nAnswer: -14*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*z + 1)*((-5*z**2 + 7*z**2 + 2*z**2)*(3*z - 27*z - 50*z) - 3*z**3 - 2*z**3 + z**3) to f*z**2 + o*z**4 + i + y*z + l*z**3 and give o.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 1:47 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 411, 3, -32 in ascending order.\nAnswer: -32, 3, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 65. Let k = 4.9 + -36.9. What is the closest to o in -1, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14*(-4)\/(-8) + -1. What is the greatest common divisor of 18 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -64. Let w = -7\/20 + 3\/5. Which is the closest to w? (a) -0.6 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13999 - 36820 = 4072*s + 38259 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 69 = 2*t, -2*t - 4 = 2*z + 50. What is the units digit of (1 + 186)*(t - -33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 3*p, 0*x - x = -2*p - 3. Let z be ((-2)\/(-1))\/2*(27 + p). Let q be ((-35)\/z)\/((-1)\/(-52)*-1). What is the greatest common factor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 6531 + -45709\/7. Determine l, given that 184\/7*l - 1058\/7*l**2 - h = 0.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 12\/(-15))\/((-20)\/(-20)). What is the closest to d in -1\/5, -1, -9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2326880*n**3 - 5406105*n**2 wrt n?\nAnswer: 13961280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 320122511 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (-8 + 1 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*0.043491\nAnswer: 0.00826329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 2*g**4\/3 + 19*g**3\/3 - 19*g**2\/2 - 8*g\/3 + 31. Factor d(j).\nAnswer: (j - 1)*(j + 8)*(8*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 1 + 4 - 3*b. Suppose -12*x = -17*x + 10. Suppose -g = 5*n - x*n, -2*g - 4*n + 4 = 0. Determine z(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -67*i - 1. Does 11 divide v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 35*c - 38*c + 38993, 0 = -3*c - 4*a + 38981. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92753027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -17*n + 238. Let q(v) = 2. Give 2*b(j) - 238*q(j).\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 111 = -1. Let d be 7\/s - (-10)\/8. Solve 2*c + d = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 4*c + 4. Let v be t(3). Let l(q) = -4 - 16*q + 2 + 17*q. What is l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:11 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (62\/(-51) + 8\/(-68))\/(2\/(-3)). Let j(i) = -7 + 1 + i + 38*i**2 + 1. What are the prime factors of j(a)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11025.8188 - 1291977.\nAnswer: -1280951.1812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 3, r: 1, e: 1, d: 3}. Give prob of sequence ffd.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -114. Let v = -149 - -150. Calculate the common denominator of (-17)\/9 + -2*v\/6 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 265960.\nAnswer: -3\/265960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.632 + 0.368. Let n = -27 - -50. Which is the fourth smallest value? (a) 5 (b) 0 (c) y (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-27) - (-2)\/24)*4. Which is the second smallest value? (a) -4 (b) -5 (c) r (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*3)\/(18\/(-54)). Let p = a + 161\/6. Let v be (-2)\/3*(-15)\/35. What is the closest to -5 in v, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4126*b*f*k - 3*b*f - 3*b*k - 711*b - 2*f*k - 2*k with respect to f.\nAnswer: 4126*b*k - 3*b - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.6 + -12. What is the closest to w in -0.1, 3, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7630567807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3*q - 3*q + 4*q - 2*q - q + (3 - 6 + 1)*(0*q - q + 2*q) - 2*q - 2 + 2 - 6*q + 2*q + 3*q + 3*q + q - 5*q)*(0*q - q + 4*q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139710 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -70, -193, -432, -823, -1402, -2205, -3268?\nAnswer: -4627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*s + 249*s = 100. What is the lowest common multiple of 34 and s?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-78)\/(-4))*946\/(-3784).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 112*m + 1731. Calculate the lowest common multiple of 6078 and r(18).\nAnswer: 79014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -356699*n**5 - 90222*n wrt n.\nAnswer: -7133980*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 6:31 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1892\/(-154) - (-10 + -2). What is the second smallest value in d, 2, -0.3, -0.07, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 73.5. Let q be 1207\/1380 - 6\/8. Let k = 1\/115 + q. Sort r, -1, k, 1 in decreasing order.\nAnswer: 1, k, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -2015?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*q - 10419 - 7347, -3*q - 26663 = -5*t. Let y be ((-711096)\/64)\/(5\/(-4)) - -1. Let o = y + q. Find the common denominator of o and 77\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575 greater than 615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -184*w + 158*w + 182 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, m: 2, p: 5}. Give prob of sequence lllm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19391, 155392, 524579, 1243544, 2428879, 4197176?\n\"Answer: 19432*k**3 + k**2 - 26*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732032585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.3787 to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7791, -323, -4, -0.2, 12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 81 = -p. Let i be 1*-2 + (3 - -3). Let m(k) = -21*k**3 - 27*k. Let l(a) = -105*a + 71*a + 30*a - 3*a**3. Give i*m(w) + p*l(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y**2. Let a(l) = 7*l**2. Calculate r(a(v)).\nAnswer: 441*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*q - 37 = 0, -11*i = -6*i + 2*q - 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49866369 is divided by 7527.\nAnswer: 7521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 930932\/39 smaller than 23869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 468810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 167409 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + g**2 - 14*g. Let y be w(-4). What is y rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:36 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10 and 99\/51496.\nAnswer: 257480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 57\/2. Which is the nearest to l? (a) -0.5 (b) -2 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 q when three letters picked without replacement from dqqvhuuuuhq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 156673.6cm?\nAnswer: 1566.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1400)\/(-16))\/(-25)*(-60)\/105?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + q)*(-5 + 6 + 6)*(0*q**2 - 3*q**2 + 2*q**2).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3)*(-11)\/((-3300)\/12).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-50)\/10 + 6)*643*1. Suppose p + 277 = -5*d - 374, d = -p - w. Round p to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12008 + -588347\/49. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180379.\nAnswer: 180379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -526 - -1390. Calculate the lowest common multiple of 4 and z.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**4 + 43*r**3 + 1446*r**2 + 4*r - 25604327?\nAnswer: 8*r**3 + 129*r**2 + 2892*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20231302320 (base 4) in base 3?\nAnswer: -11022002001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4305 is divided by 361.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 655, 0.3, 0.2, 5, -1\/9, 7, 4 in descending order.\nAnswer: 655, 7, 5, 4, 0.3, 0.2, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/532*-42*((-1)\/(-1))\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(3*s - s - 4*s) + (s + 6*s - s)*(0 + 0 - 1).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, 3, -3471, -5, -0.3 in increasing order.\nAnswer: -3471, -5, -0.3, -2\/31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 1, u: 1, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61233990?\nAnswer: 2, 3, 5, 31, 65843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5682811 divided by 17\nAnswer: -334283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -32789351 times 6\nAnswer: -196736106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3024\/(-720))\/((-7)\/6). Factor -2\/5 - j*a**2 - 2*a - 14\/5*a**3 - 4\/5*a**4.\nAnswer: -2*(a + 1)**3*(2*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*n**3 - 1)*(6*n + 5 - 5) - n**3 - 416833*n + 416833*n + 21*n**4 to g*n + b + d*n**2 + c*n**4 + i*n**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1094475649 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjffjjffj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 92*r + 11*r in the form b*r + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - h**3)*(0 + 2 - 4) + (-25*h**2 - 140 - 2*h + 172 + 31*h**2)*(3 - h - 3) to m*h**2 + u*h + w*h**3 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*24\/60. Which is the closest to 1\/4? (a) -7 (b) 2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 a factor of 166851099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 72*s - 2320. What is d(96)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8052587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**2\/2 + s - 36. Suppose j - 3*w - 2*w = 3, 0 = j + 5*w - 3. What is p(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = -3*o, 2 + 2 = -2*o + 4*s. Let m(k) = k**2 + 21*k + 109. Let l be m(-9). Which is the nearest to -1? (a) l (b) o (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-66)\/4)\/(7533\/651) and 31\/198.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 6*f + 4*f**2 + 3*f**2.\nAnswer: 2*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(200) + 0 + -2)**2*1.\nAnswer: -80*sqrt(2) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*g**3 + 59*g**3 + 73*g**3 + 790*g**3 + 673*g**3.\nAnswer: 1526*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/3 + 4765*h**2\/3 + 7523267*h\/3 + 3931660703\/3 = 0.\nAnswer: -1711, -1343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + sqrt(208)*2)\/sqrt(4))\/sqrt(4)*1 + 1.\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11431 (base 14) to base 16.\nAnswer: -a403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8197640.1 - -8194073.12929. Let g = -3567 - f. What is g rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:52 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**4 - 110*c**3 - 11*c**2 - 4*c?\nAnswer: -24*c - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 = -11, -4*q + 2 = -5*r. Suppose 0 = -q*z - z + 20804. Let k be 0 - (2 + (z - 3)). Round k to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160463185 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -26*c - 1078. Let t(r) = -15*r - 541. Determine -4*o(q) + 7*t(q).\nAnswer: -q + 525","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11648 - -11652. Solve 82 = u*d + 94, 3*k + 2*d = 12 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let z = 1 + l. Let n = -7.5 + 8. Put n, 1\/3, z in ascending order.\nAnswer: 1\/3, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-18)*(-3)\/3*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*v - 16 = 0, 9 = -v + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1889096 or -1889095?\nAnswer: -1889096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7651*g - 10*g**2 + 3810*g + 3841*g.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.7 (c) 5\/2 (d) 0.0056014 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 - -503f4?\nAnswer: 503cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 47)*(-2)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 2)*(-8 - 4 + 2) - 1 - 3 + 2 + 1 + 1 + 2 + (-1 + 2 - 2)*(3 - 5 + 0) - 4 + 4 + 3)*(-5*y + 4*y - 8*y)*(-2 - 1 + 2) as t + d*y and give d.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 2*k - 5. Suppose -5*d + 4*s + 18 = -7, -6 = 4*d + 2*s. Let o(z) = 2*z**2 + 2 + 3*z - 2 - d - 5. Give 4*b(u) - 3*o(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuxkyxxyuuxykuxuh. Give prob of sequence uyuh.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.56 + 3.4. Let p = -1212 - -1223.46. Let k = z + p. What is k rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73361\/26 + -2821. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/9 - 161584*q\/9 + 107720\/3 = 0. What is q?\nAnswer: 2, 80790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 729 and 2.495.\nAnswer: 1818.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:09 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by 191?\nAnswer: -70\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -13. Let v = -468 - -474. What is the remainder when m\/(-2 - 92\/(-47)) is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*j - 27, 7 = -11*j + 14*j - o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17210 + -4?\nAnswer: -17214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 802944 and 145632.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35394 is divided by 17614.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.95. Let b = 114 + 98. Let t = b + -628\/3. Put t, -2, f in ascending order.\nAnswer: -2, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192569624 to the nearest ten thousand.\nAnswer: 192570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 263 = 179. What is the tens digit of (x - (-116 + -4)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453315199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441328.\nAnswer: 2, 27583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198632 = 134*t - 106*t. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 46 = -16. Suppose -u - 4*u = -5*w - 2145, t = 5*w. Suppose -12 = -4*n, 4*n = -2*i - 66 + u. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*u + 11*u**4 + 121 - 121 wrt u.\nAnswer: 132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1528581 millilitres?\nAnswer: 0.0001528581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4454, -502, 3450, 7402?\nAnswer: 11354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*k - 242*k + 160*k**5 - 553*k**5 wrt k?\nAnswer: -7860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51317660 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -30*a**3 - 1. Let u be 0 - 0 - 2\/2. Calculate the remainder when 3\/(6\/904*4) is divided by f(u).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*p - 2*p = 68, 3*v - 26*p - 230 = -8*p - 7*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c - 3. Suppose -12 = f - 3*i + 7, 5*f + 5*i = -15. Let a(d) = 21*d - 10. Let o(b) = f*v(b) + 2*a(b). Differentiate o(w) with respect to w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*a - 426 - 407 = 0, a - 419 = -2*q. Calculate the remainder when q is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352154 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/23415399 and -26\/80703.\nAnswer: 163907793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.02 + 15.75?\nAnswer: 16.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 235 - 118. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 7*p + 65. Suppose -p = 2*a - 191. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -556628.\nAnswer: -7\/278314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, s: 4, l: 2, k: 5, p: 2}. What is prob of picking 1 p and 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9110723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 11*h = 2*w + 64, 0 = -w + 4. What is the lowest common multiple of h and 1144?\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -713\/156 + -7\/39. Find the common denominator of -43\/20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 9*w - 12*w - 55, 2*w + 9*s = -14 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87.11 - 73.11. What is the third biggest value in 1\/3, -3\/2, 0.4, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-488*b**3 - 29 + 29)*(-2*b - 1 + 1)*(-1 + 2 + 0)*(-b - 3 + 3).\nAnswer: -976*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 45560 = 12*b + 16940. What is the smallest common multiple of 5830 and b?\nAnswer: 34980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 divided by -2\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/10 - -3) + (-144)\/(-40). Suppose 0 = 3*j - 5*p - b, 10*j = 5*j + p + 36. What is the greatest common factor of 5 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163134200415 - 163134200548.999999146. Let h = j + 134. Round h to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6*d**3 - 20*d**4 + 0*d**2 + 2*d**2 - 4*d**2 + 18*d**4 as i*d**3 + r*d**4 + w*d**2 + n*d + m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(60\/(-55)))\/(11\/((-132)\/3)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**5*u**3 + 3*p**4 - 8*p**3*u**3 + 25*p**2*u**3 - p*u**3 - 2*u**3 wrt p.\nAnswer: 180*p**2*u**3 + 72*p - 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 - -168. Suppose 0 = -3*j + 6*j - o. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(416\/552)\/(-13).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 430, 335 in decreasing order.\nAnswer: 430, 335, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -10. Let j(c) = q + 3 - 4*c + 3*c. Let m be j(14). Which is greater: -22\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 187, 278, 359, 424, 467, 482, 463, 404?\n\"Answer: -a**3 + a**2 + 95*a + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -1\/5, -3, 5\/3 in decreasing order.\nAnswer: 8, 4, 5\/3, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10.07+-21.4372519532\nAnswer: -31.5072519532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w - 5*o - 7, 0 = -5*w - 2*o + 32. Let x = -15 + w. Let u = 10 + x. Solve -u*m + 6 = -3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 78 - 112 = 0. Let t = 29 + x. What is the greatest common factor of 384 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + 31*x + 3. What is z(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**(2\/55))*j)\/j)\/j*j*j**(-5)\/j)\/(j*j**(2\/27))**(1\/4))**(-1\/6) assuming j is positive.\nAnswer: j**(37019\/35640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 8*s**2 + 32*s + 18. Let o be g(-4). Let m = o + 42. Solve -5*b - m + 0 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6787070*p - 6027811 wrt p?\nAnswer: 6787070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -193\nAnswer: 96.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-1))\/((-7)\/(-21)). Suppose -10 = -2*c - n*c. Suppose 3*t - 1 = 5*w - 2, -3*w = -c*t. Solve -3 = v + w*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/8*c**2 + 1203\/8*c - 603\/4 = 0.\nAnswer: -402, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75133?\nAnswer: 75133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17197*l**3*o**2 - 2*l**3*o + l**3 - l**2*o**2 - 38*l**2*o + 4*l*o**2 - 15 wrt l.\nAnswer: -103182*o**2 - 12*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 478173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 610 - 398. What is the remainder when u is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.2301 + 61.8069. Let a = 66 - q. Let l = a + 0.036971. What is l rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 5:40 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24007 < 23894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 13. Let q = l + 16.2. Let j = q - 3. Is j equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190 - -379. What is the remainder when m is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = 7*w. Let t = 3 - 10. Let c be w\/(-7) + (-26)\/t. Solve -5*g + 3*b - 9 = -c*g, 5*g - 23 = -2*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*l - 32 = 102*l. Solve -l*y + 4*p + 4 = 0, 2*p = 3*p - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39734*y**3 + 39737*y**3 - 3*y**4 - 49 + 5*y**4 to r + l*y + c*y**4 + t*y**2 + z*y**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 + 0.132. Let y = 0.512 - t. Which is the closest to -3\/19? (a) 5 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90013 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 2 + 3*c - 3. Let t = 4 + 0. What are the prime factors of l(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84)*-5)\/(1*sqrt(588) + sqrt(588)))**2.\nAnswer: 25\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guxgxxux. What is prob of picking 2 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12\/5 (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 85\/4 of a millennium?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3105)\/(-1656)*((-1)\/3 - 0).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/3525 and -43\/6600.\nAnswer: 310200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3797376, 3797375, 3797374, 3797373?\nAnswer: 3797372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(175)*2*-1 + -5 - (sqrt(175)*-2*1 + -4)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182\/117*(-54)\/(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20*h + 4. Let l be v(-2). Find the common denominator of -85\/108 and (-3)\/l*(-447)\/(-18).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (650\/(-30))\/(153\/459).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -21970*u + 1040. Let s(l) = -127*l + 6. Calculate -520*s(c) + 3*y(c).\nAnswer: 130*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 18. Suppose 4*w + 88016 = -5*u, -k*w = w + 3*u + 66012. Let s be 0\/3 - (w + 4). What is s rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 2169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c - 7. List the prime factors of r(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14249 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*x - 7, 22 = 3*x + 14*h - 12*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*b**4 + 5 - b**4 - 2*b**2 + 9*b**2 to the form c + t*b**4 + x*b**3 + d*b**2 + w*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sossssssosssssssssss. Give prob of picking 2 s.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 42*f**2 + 180*f + 216.\nAnswer: 3*(f + 2)*(f + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.94, -9, -3?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22851.984 - 22771. Let p = u + -81. What is p rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*l - 158*l - 4800 = 1605 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 4*p - 54. Suppose -p = -4*o + z + 32, 0 = 2*o - 2*z - 48. Let c(q) = 5*q + 4. What is the remainder when c(7) is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6.7. Let c(w) = w**2 + w + 5. Let g be c(0). Sort g, t, -0.5 in decreasing order.\nAnswer: g, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.449958cm in micrometers?\nAnswer: 34499.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**34\/(f*f*f**(17\/3)*f*f) assuming f is positive.\nAnswer: f**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 2. Let x be p(2). Let t = x - 1. Which is the third smallest value? (a) 0.1 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593, -2397, -5395, -9581, -14949, -21493?\nAnswer: -29207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Suppose -4*q + 0*i = 5*i - 33, 23 = 4*q + k*i. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 296 = 3*j + 316, -26*j + 20 = 5*w - 29*j - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 1166990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*h + 37 - 32 + 178*h + 20 - 93*h.\nAnswer: 11*h + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118.668 - 118.868. Let y = -18784 - -74625\/4. Let o = y + 127. Which is the biggest value? (a) q (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 6 + 9 - 4*m**3 - 4*m + 3*m in the form g*m + h*m**3 + n + p*m**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -279*u**2 + 0*u**4 + 1\/3*u**3 + 0*u + 0 - 1\/60*u**5. Let x(r) = -2*r + 2*r + 2*r**2. Give s(x(n)).\nAnswer: -4*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g + 1. Let y(k) = 4*k + 1. Let l(j) = -6*f(j) + 10*y(j). Let h be l(4). Let p = 14 + h. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -8, 4, 16 in increasing order.\nAnswer: -22, -8, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1 - 1 + 3*i**3 - 2*i**3 + 3 + i**2. Let f be h(0). Differentiate 2 + w + 2 - f wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/6 + (5016\/144)\/19. Solve k*h = -2*b + 8 + 10, 4*h - 11 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 6 + 9 + 3*l + 2*l**3 + 3*l - 1. Let i(y) = -y. Let w be i(-4). Let d(q) = -q**3 + 7*q + 2. What is w*d(x) - 5*u(x)?\nAnswer: x**3 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0475 in -0.5, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 - -0.4. Let a = v + 1.2. Sort a, 2, 4.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n**2 - 1. Let t(b) = -27*b**4 + 3*b**3 + 3*b**2 + 31. Let i(f) = t(f) + 3*z(f). Differentiate i(g) with respect to g.\nAnswer: -108*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 0.3, 5, -4, -0.051, -0.5 in decreasing order.\nAnswer: 5, 0.3, 1\/10, -0.051, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 36*t**6 - 6*t**4 - 4*t**2 - 6*t - 6. Let y(l) = -l**6 + l**4 + l + 1. Let w(g) = r(g) + 6*y(g). Find the third derivative of w(z) wrt z.\nAnswer: 3600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 5:07 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 5, 14, -8, 88 in descending order.\nAnswer: 88, 14, 5, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1523118*d**2 - 3*d - 390223.\nAnswer: 3046236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/((-5)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 18670 + 6967 = 13389. Does 103 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 0.73, 3 in decreasing order.\nAnswer: 3, 1, 0.73, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/32)\/((-4)\/((-96)\/(-15))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.58 + -3.58. Put 2\/9, -12, m, 3 in decreasing order.\nAnswer: 3, 2\/9, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3783 (base 11) to base 4.\nAnswer: 1031003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -961071*m**2 - 102*m + 58907?\nAnswer: -1922142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 10 = -20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {a: 4, x: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6542904 = 2*d. Suppose 5*v + 4*o - 11528638 = 0, -2*v + 9222908 = 2*v + 2*o. Let r = v + d. Round r to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 3*i**2\/2 - 7*i - 6. Is 13 a factor of a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89934892 divided by -22483723\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056 = 60*v - 336, -2*b = 5*v + 60 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -4 + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 12)*(-15469*w**3 - 3*w**2 - w**2 - 1141*w**3 + 2234*w**3 + 4*w**2) to the form j + u*w + h*w**2 + a*w**3 and give a.\nAnswer: 143760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 + 1250*g + 18. Let l(v) = 4*v**2 + 1257*v + 21. Let w(a) = -6*l(a) + 7*u(a). Suppose w(x) = 0. What is x?\nAnswer: -302, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-15) - 24\/10. Let m be 0 + 104\/18 - q\/9. Solve 0 = -5*x + m + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 42. Suppose -4 = b - q*b. Suppose 2*x - 3*x + 1 = 0. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1451 and -0.099015148003.\nAnswer: -1451.099015148003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3854635.434231 - 0.4?\nAnswer: 3854635.034231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203557*y**5 - y**2 + 3744*y wrt y.\nAnswer: 12213420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-14)\/(u*u**(2\/21)\/u))\/(u**1)**(27\/5))**45 assuming u is positive.\nAnswer: u**(-6141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7745 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-105))\/((3\/1125)\/(((-204)\/(-72))\/(-17))).\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -106, -0.01, 5 in descending order.\nAnswer: 5, 4, -0.01, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3 - x + 1 - 2*x - 1 - 3*x + 3*x - x - x - 2*x + 2*x + (-4 - 1 + 3)*(-1 + 2*x + 1))*(490 - 647 + 520) as z*x + g and give g.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8585646529 to the power of 1\/3, to the nearest integer?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:55 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 12 + 0*m + 5\/3*m**3 + 5\/4*m**4 - 5*m**2. Factor o(v).\nAnswer: 5*v*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 2. Let o(q) = q - 1. Let v(k) = -5*o(k) + 2*z(k). Let y be v(1). Calculate the lowest common multiple of (-122)\/(-10) + y\/10 and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918808300 rounded to the nearest 100000?\nAnswer: 918800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/7470 and 11\/4980.\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/2 + 59595*z**3\/8 + 14903*z**2\/8 - 59595*z\/8 - 14899\/8 = 0. What is z?\nAnswer: -1, -1\/4, 1, 14899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5 + 12*z**2 - 14*z - 5 - 13*z**2. Let w be x(-13). Differentiate 2*t + 2 + 1 + 0 + w wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 9:40 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 (base 16) in base 8?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -559*v - 3351. Determine a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1620\/945)\/((-4)\/16814). What are the prime factors of (-4)\/(-10) + 8\/(-80)*q?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3591 - 23b42?\nAnswer: -27403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u - 6. Let o(q) = 7*q + 11. Let t(z) = -11*i(z) - 6*o(z). Let a(p) be the third derivative of p**5\/15 + 2*p**2 - 17*p. Calculate a(t(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1764\/1274 + (-1127)\/91\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aav when three letters picked without replacement from {a: 7, v: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 10*y**2 - 3. Let q be u(-10). Let j(d) = 3*d**2 + 3*d - 1. What is the tens digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 30*h**3 + 2*h**2 + 2*h + 1. Let x be -3*(-2)\/6*-1. Let w be y(x). Let d = 230 + w. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 2\/2689 (c) 3 (d) 2 (e) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c + 330. Let g be v(-29). Solve 2*w + 1 = g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3027, 3043, 3071, 3111, 3163, 3227, 3303?\n\"Answer: 6*z**2 - 2*z + 3023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 492466, 984934, 1477402, 1969870, 2462338?\n\"Answer: 492468*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m - 7. Let p(q) = 10*q**2 - 35293. Give p(j(y)).\nAnswer: 640*y**2 - 1120*y - 34803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227793649 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:44 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-5*m + 0*m + 2*m)*(3*m + 36 - m - 27)*(-9*m - 78*m - 10*m).\nAnswer: -1164*m**3 - 5238*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*p + 0)*(2*p + p - 4*p) + (4*p + 4*p - 5*p)*(4*p - 2*p - p) to the form d*p**2 + x*p + n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -20 (c) -0.06 (d) 9 (e) 2 (f) 2\/7 (g) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -82 + 0?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*6\/(-21)*20\/(160\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 + 3*q**2 + 2*q**2 - q**3 - 3*q**2 to the form l*q + o*q**3 + y*q**2 + b and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 24 (b) 0.4 (c) -0.3 (d) 0.08 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 186*t - 8791*t**3 + 2*t**4 + 8791*t**3 + (0*t - 2*t + t)*(3*t**3 - t**3 - 4*t**3).\nAnswer: 4*t**4 + 186*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13857 - 13859. Let u = -8 - -6. Let q = 5 + u. Which is the biggest value? (a) -5 (b) 2\/5 (c) s (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1227*t**3 - 106*t - 2455*t**3 + 1233*t**3 + (-5 - t**2 + 5)*(-2*t - 2*t + 2*t).\nAnswer: 7*t**3 - 106*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 + -0.05. What is the biggest value in 3\/2, -1\/8, m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 83.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**2 - a**2)*(2284*a**2 + 114*a**3 - 119*a**3 - 2145*a**2).\nAnswer: -10*a**5 + 278*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + u + 3. Let b be f(-4). Suppose -4*l - 215 = 3*t - 5, 0 = -3*t + 5*l - 183. Let i = b - t. What is the remainder when 31 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**6\/30 - k**5\/20 - k**4\/12 + k**3\/6 - 4*k - 3. Let x(r) be the first derivative of w(r). Factor x(f).\nAnswer: f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d = -3. Let v be 0\/(-1) + d + -7. Let r(f) = 1. Let o(s) = s - 8. Determine v*r(k) - o(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78\/32315 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*y + 6. Suppose -w + 4*l - 18 = -2, 5*w - 3*l = -12. Suppose -4*z = 2*a - 20, 0 = 3*a - w*a. Solve x + z = c - 4*x, -c = x + y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*h + 4557 = 4565, 3*h - 9 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 86*a**2 - 612*a - 15. Let o be r(78). What is the greatest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4374 + 0.0204. Let i = -0.083 + m. What is the closest to -17 in 1, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -584*d + 7624. Let z be p(13). Suppose -4*l + 2*i + 574 = 0, -2*i = -2*l + 146 + 140. Calculate the highest common divisor of z and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, n: 1, k: 1, u: 1}. Give prob of sequence nuh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/26 (b) 5 (c) 1034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 81*r + 2496 = 3*r for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 3:38 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51536 - 51535.99955542. Round u to 5 decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4, -35*g + 31*g + 5*p = -17. Suppose -5*r - 4 = -6*r, -g*r - 7482 = -3*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*2*sqrt(96))\/((sqrt(12) - (sqrt(12) - (sqrt(12) - -3*sqrt(24)\/sqrt(2))))*6))**2 + -3.\nAnswer: -31\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -76451513799 - -0.2?\nAnswer: -76451513798.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 + 300*b**2 + 1706*b + 87. Calculate x(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24568297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245 by 4.\nAnswer: -245\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9930 is divided by 218?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -701510 divided by -4838\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 8:59 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 272. Let y be 4\/18 - z\/(-18). Is 4 - (-1 - (y + 322)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {w: 1, y: 3, c: 2, f: 2, n: 3, o: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 222, 737, 1566, 2685, 4070, 5697, 7542, 9581?\n\"Answer: -4*l**3 + 181*l**2 + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*i - m, -i + 5*i + 12 = -3*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a01 (base 11) in base 14?\nAnswer: -5ac4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as -130979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 5\/3*a**3 + 6 + 6*a**2 + 4*a. Factor h(d).\nAnswer: (d + 2)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*-2 + (-53808)\/(-3838)*1?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97843290 divided by -5.\nAnswer: 19568658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/1 - 6\/(-6). Let r = 242.5441 - -0.3559. Let t = -243 + r. Sort 9, t, x in increasing order.\nAnswer: t, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17704428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 109 + 89. Suppose 5*x - 2*w - 54 + 15 = 0, 4*w = -4*x + 48. Calculate the highest common divisor of x and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(391\/(-28) - -14)*5\/((-10)\/(-16)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11\/5*p**2 + 0 - 16\/5*p**3 - 2\/5*p + 7\/5*p**4 = 0 for p.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229060\/13671 or 18?\nAnswer: 229060\/13671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1084 = d + 287, -2*d = -2*w - 314. Let t = -160 - w. Solve t*l + 3*l - 3*q = -9, l = 2*q - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 600 = 1325. Let w = -148 - j. Let y(z) = -10*z - 3. Let s be y(-3). What is the highest common divisor of s and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*9 - (-346218)\/(-19). Let v = x + 31000. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/100*3\/(-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1437109974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -0*c - 919 + 931 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**6\/45 - u**5\/30 + u**4\/9 - 10*u. Factor z(f).\nAnswer: -2*f**2*(f - 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 729 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-55) + 295\/(-110) + 3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + 9 + -40 - 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2378317 - -380?\nAnswer: -2377827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 136217 and 0.24.\nAnswer: 32692.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/9)*r\/(r\/(r\/(r**(-2\/3)\/r)))*(r**(-2))**(-32))\/((r**(2\/15)*(r**(-1\/3)*r)\/r)\/(((r\/r**(-2\/31))\/r)\/r**(1\/2))) assuming r is positive.\nAnswer: r**(184103\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82.5 + -70. What is j rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + 0)*1\/20. Let z = -3\/10 - p. Put -4, z, -3\/2 in ascending order.\nAnswer: -4, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595\/(-203) + 9 + (8 - (-12 - -26))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4695 = 2*x + 3*x. Suppose 0 = 4*o + 4*a - a - 937, 0 = -4*o - a + x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451 a factor of 1230456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -713174*0.4.\nAnswer: -285269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 1. Suppose -d - 4*d = -75. Suppose -y - 2*y = -d. Let c(r) = -4*r - 1. Determine y*c(j) + 7*v(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3079 * 0.5.\nAnswer: -1539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t. Let n(o) = 5*o**2 - 5*o - 2. Let k(d) = 4*i(d) - n(d). Let v(q) = q**2 - 8*q + 9. Let a be v(7). Determine k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-3) - -2)*-3. Suppose -3*x + 8 + u = 0. Suppose m = x*m. Solve 0*y + 4*y + 12 = 3*a, m = -a - 4*y + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*r - 34*r + 1 + 6*r.\nAnswer: -78*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5 + 31*g**4\/3 - 97*g**3\/3 + 53*g**2\/3 + 136*g\/3 - 16 = 0. Calculate g.\nAnswer: -1, 1\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2.3, -2\/7, 0 in ascending order.\nAnswer: -0.5, -2\/7, 0, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/60 + 25*o**4\/12 - 49*o**3\/3 - 10*o**2 + o. What is the first derivative of u(s) wrt s?\nAnswer: 6*s**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**7*n\/n**(-1\/4)*n*((n*n*n*n**(-3\/8)\/n*n*n*n)\/n)\/(n\/(n**(5\/7)*n))*((n*n**(-1))\/n*n*n*n*n\/((n*n**(2\/7))\/n))\/(n**(-2\/5))**(-24) assuming n is positive.\nAnswer: n**(-1763\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 96\/16*3\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -20*d**3 - 3*d**2 - 2*d + 139. Let j(l) = -18*l**3 - 2*l**2 - l + 139. What is -4*j(h) + 3*m(h)?\nAnswer: 12*h**3 - h**2 - 2*h - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/5 + 0)\/(264\/4643760).\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242 - 182. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 34, -23, -5, -1, -1307 in decreasing order.\nAnswer: 34, 5, -1, -3, -5, -23, -1307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10973*g**2 - 13099*g wrt g?\nAnswer: 21946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532943 is divided by 80.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*z + 687*z + z**2 - 352*z.\nAnswer: z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3\/3 + 1. Let w(o) = o + 2. Let j be w(2). Let r(x) = -x + 0*x + 2*x - j*x. What is r(y(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 15*r + 3. Let l be q(7). Let z = 130 + l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (103\/(-12))\/(155\/62) and (7\/(63\/(-318)))\/((-10)\/3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 31. Let p = 211 - 1. Let j be 90\/(-50)*p\/(-9). What is the highest common divisor of a and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*p = 189*p + 34. Factor 3507 + 20*v**2 + 174*v - 3427 + p*v.\nAnswer: 4*(v + 10)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 19*z**7\/105 + 23*z**3\/3 + 32*z**2. Differentiate m(f) with respect to f.\nAnswer: 152*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412, 427, 468, 547, 676, 867, 1132?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1\/4 (b) 48 (c) -0.13 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((10 - -1) + 0 - 0 - 82)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 - 10*t**2 + 6*t**2 + t**3 - 7 - t**2 as p*t**3 + n + f*t**2 + r*t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:20 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(95)*1 + sqrt(95))*1)\/(-4*(sqrt(40)*1)\/sqrt(8)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 16*z**3 - 81*z**2 - 64*z**2 + 6*z + 132*z**2.\nAnswer: z*(z - 6)*(z + 1)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 16*n**2 + n - 7. Let p be l(7). Let t = p + 335. What are the prime factors of t?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84816 and 563844?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -23?\nAnswer: -17\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in -7336, 2\/7, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 10*b - 70. List the prime factors of (-644)\/b - (-3)\/(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s = -41*s + 88*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 461741609 to the nearest integer?\nAnswer: 21488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -106*w. Let f(b) = -16277*b**2 - 8. Give c(f(k)).\nAnswer: 1725362*k**2 + 848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03605, 1167, -0.3 in increasing order.\nAnswer: -0.3, -0.03605, 1167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m + 2. Let s be (-220)\/242 - (31\/(-11) + 3). Is s smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26 + -1*(1 - 2). Suppose -5*v = 5*z - 20, -4*z - 2*v + 7*v + 16 = 0. Let u be 1\/(-4) + 37\/z. Calculate the highest common factor of u and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ec41a (base 15) to base 16.\nAnswer: 39cb9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h + 11 + 31 + h**2 + 15*h. Let q be s(-21). Solve -4*g + 18 + 2 = q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 1:12 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/(-261))\/(1\/(-21) - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5187 (base 11) in base 9?\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 6:14 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 - u**4 + 7*u + 2 - 2 + 2*u**2 to the form l + z*u + g*u**4 + t*u**2 + j*u**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1988)\/441 + 4\/18. Let r be 4\/28 - (-370)\/7. Let c = 49 - r. Is c <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.04, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let d be -1 - -3 - (0 + 2). Let r = d + n. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 872, 1711, 2498, 3221, 3868, 4427?\nAnswer: 4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:57 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.48 - 3.62. Let t = o + 0.1. Let i = 5 + t. Are i and -0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 1\/2, -0.2, -202, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(18) + (sqrt(18) + 2*sqrt(162) - sqrt(18))))\/(sqrt(90)\/((sqrt(10) + sqrt(20)\/sqrt(2))*6)))**2.\nAnswer: 352800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 17. Let x = -8 - -21. Let u be g(x). Suppose 557840 = -u*w + 1357840. What is w rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-300)\/(-2340))\/(30\/36)*-1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 27*j**4\/8 - 50*j**3\/3 - 70*j**2. What is the units digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 117?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633116037?\nAnswer: 31, 84939227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28286583 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y. Let h(q) = y*q - q + q - q. Let m(k) = -2*k - 2. Let x(v) = -v**3 - 7*v**2 + 1. Let c be x(-7). What is c*h(g) - m(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 426 and 204167.9.\nAnswer: 204593.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 9, 31, 73, 141, 241, 379, 561?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) + (-292)\/91. Suppose 472*d - 102 = -883 - 575 - 60. Are p and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.4 (c) -1\/4 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.61578l to millilitres.\nAnswer: 39615.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saxfaowxx. What is prob of picking 1 x and 1 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p = m - 492, 7*p - 468 = -m + 2*p. Find the second derivative of -14*s + 488 - m - 16*s**5 wrt s.\nAnswer: -320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.55686 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 10*y + 14. Let u be d(-11). Suppose -4*v = -4, -3*p - u*v + 7*v + 17 = 0. Solve 0 = -5*x + 4*h - 24, -4*h + 20 = -p*x + 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-2))\/(-1))\/((-16)\/(-64)) - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 5*r + 1529, r = -5*l + 3927. What is the lowest common multiple of l and 126?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2902 - 2690.4. What is r rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3\/(-12)*-2). Solve -4*g + 11 = 3*d - 5*g, p*d - 5*g + 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/156 and -151\/102.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.186 rounded to 1 dp?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.97 times -3?\nAnswer: 278.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**8\/d)\/d)\/(d*d**(-4)\/d)*((d*((d*d**(1\/3))\/d*d)\/d*d)\/d)**(1\/16))**(5\/6) assuming d is positive.\nAnswer: d**(605\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 41*l. Let p(c) be the second derivative of -5\/6*c**3 + 8*c + 19 + 0*c**2. Determine g(p(x)).\nAnswer: -25*x**2 - 205*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3392 and 644268.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 4*i - 3. Determine s(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -237*g*v**4 - 8*g*v**2 + g + 3*v**2 + 248 wrt v.\nAnswer: -5688*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -26. Let p = 19 - t. Let a = p + -11. Sort a, -0.1, -3\/5.\nAnswer: a, -3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*y**2 - 1124*d**2 + 264*d*y**2 wrt y?\nAnswer: 2*d**2*y + 528*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95.54 and 1?\nAnswer: 95.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 220890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from {a: 1, d: 2, b: 1, f: 4, h: 1, z: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 48. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1000100010011101?\nAnswer: -1000100010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 391061 = 271329. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 11 + 1 + -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and 1881044.\nAnswer: 1881064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.688 + -17.888. What is the nearest to w in 5, -31, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*o + 30, -8*i + 3*i = 3*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59358287 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.1. Let f = 1 - z. Let a = 0.4 + -0.4. What is the nearest to 0.1 in 0.4, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 - (1113 + 9 + -18). Is i smaller than -1115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451716 is divided by 1373?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0 + 0*g**2 + 1\/720*g**6 + 1\/12*g**4 + 1\/120*g**5 + 0*g**3 + 2*g. Let n(u) be the third derivative of h(u). Give n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**2 - 3*q**2 - 2*q**2 + (-2 + 2 - q**2)*(-4 + 5 - 3))*(-17*q - 8*q + q) to p*q**2 + n + s*q + d*q**3 and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {t: 3, v: 5, q: 5, x: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10436611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/120 - 5*m**4\/24 - 187*m**3\/6 + 3*m - 5. Let q(z) be the second derivative of h(z). What is q(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**3 - 4900*l**2 - 115*l - 651.\nAnswer: 18*l - 9800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -10. Is (-1)\/((3 + w)\/(-326)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:46 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/34 - 29\/170. What is the biggest value in 7, s, -3\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 - 102*v - 6. Let q(d) = -76*d. Give q(y(i)).\nAnswer: 380*i**2 + 7752*i + 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/5)\/((-3)\/20). Suppose 0 = -2*s - 2*s + m. Suppose -s*b + 4*b + 13400 = 0. What is b rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1 = 5*d. Let h be 1\/((-27)\/60 + 0). Let i = h - -23\/9. What is the nearest to 2\/3 in i, d, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 18.53 (c) 14 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2001210030 (base 4) to base 13\nAnswer: -157731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17)*x)\/(x\/(x*(x\/(x**(1\/2)\/x))\/x))*x\/x**(-9)*x*(x\/(x**(-2\/7)\/x))\/x assuming x is positive.\nAnswer: x**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6817, 13634, 20451, 27268, 34085, 40902?\nAnswer: 47719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18.961, 0.5.\nAnswer: -18.961, -5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -500 + 1174. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/7))**(-6\/5)*g**(-1\/5)*g*g**(3\/2)*g)**(1\/11) assuming g is positive.\nAnswer: g**(267\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 8. Let d = 158 + -101. Let x = d - j. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**19)\/(q\/(q*q*q**(2\/3))*q))**(1\/30) assuming q is positive.\nAnswer: q**(-26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 164160.49532074 and -90?\nAnswer: 164250.49532074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + x + 1903, -5*n + 2*x = -0*n - 2378. Let b = -327 + n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 845?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, -65, 0.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - 20*a - 3. Let p(l) = l**2 + 3*l + 5. Let k be p(0). Suppose y = k*t + 43, 0 = 4*y - y - 9. Is h(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61)\/(122\/12)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 2*h**2 + 1\/2*h**3 + 0*h - 9. Let b(d) = d + 4. Let y(o) = -o**2 + 3*o. Let i be y(4). Give i*f(g) + 3*b(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 392798237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.90486 + 0.40486. Which is the nearest to 129? (a) -2 (b) f (c) 1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 66. Let t be (1308\/(-18) + s)\/(1\/(-18)). Suppose 4*z - 8686 - t = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 7 + 9. Let m(j) = -j**2 - j + 2. Determine m(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 1. Let z(g) = -8*g**3 + 17. Let a(p) = -6*h(p) - z(p). Let q(y) be the first derivative of a(y). Let n(i) = i + 1 + 1 - 2. Determine n(q(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 10:37 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 8. Let d be s(5). Find the second derivative of -8*l - 11*l + 20*l + 4*l**d wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microgram in nanograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -13. Find the second derivative of 0*b**x + 0*b**2 + 0*b**2 - 3*b**2 + 4*b wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10793 divided by -40156\nAnswer: -10793\/40156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(432)))**2 + -5 + (((sqrt(432)*-2 - sqrt(432)) + 1)*5)**2.\nAnswer: -1752*sqrt(3) + 97656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*r = v + 15, 0 = -4*v - 4*r. Let u(h) = -h + 3. Give u(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:01 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3448613 is divided by 535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1196982901 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 - ((-109 - -5) + 189).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4, 12, 3.\nAnswer: -4, -1, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 + 0 = 0. Suppose 44 = a*b - 4*n - 4, 3*n = -3*b + 69. Calculate the least common multiple of 6 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.4. Let m = r - -0.9. Sort m, 5, -3.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001537571 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87084 + 114?\nAnswer: -86870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10101111 (base 2) to base 6\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 1, 3 in descending order.\nAnswer: 3, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + 17*y**4 - 7*y**4 - y**2 - y**3 to the form h + u*y + r*y**4 + m*y**3 + p*y**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 - d**2 - 5*d**2. Let r(g) be the third derivative of g**4\/12 - 37*g**2 - g. Give n(r(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 26*z**2 + 44*z - 200. Give l(5).\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 324437007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796618319.\nAnswer: 7, 113802617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36602 is divided by 815.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*f - 7 = 0, -5*c + 12 = -5*f + 8*f. Suppose -c*v - m + 577 = -2*m, 0 = 3*v - 3*m - 567. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -53*b**5\/5 + 64*b**3\/3 - 55. What is the third derivative of u(j) wrt j?\nAnswer: -1272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35175 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 27*f**2 - 2*f - 9. What is the tens digit of k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, s: 5}. What is prob of picking 1 r and 3 s?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73426 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - 50\/(-6). Let m(y) = -y**2 + 12*y - 2. Let f be m(b). Let a = f - 16. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 45 = 12. Suppose 2*c - 5*n - d = 0, 0 = 3*c - 4*c + n + 9. Suppose c*a = 3 + 9. Solve -a*y - 5 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/12 + 125*a**4\/3 - 4*a**2 - 2*a + 32. Suppose v(z) = 0. Calculate z.\nAnswer: -200, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.12 times 4702066\nAnswer: 5266313.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**7\/168 - y**6\/40 + 3*y**5\/80 - y**4\/48 + 2*y - 2. Let d(z) be the first derivative of l(z). Factor d(b).\nAnswer: b**2*(b - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 25. What is i(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-21)*5\/(-10). Put j, 0.2, 0 in descending order.\nAnswer: 0.2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 34*v**2 - 185*v - 8. Calculate the remainder when 3734 is divided by g(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(1*sqrt(3)))\/(-1*sqrt(9)*-5)*-3.\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24235199.\nAnswer: 24235199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14525562.\nAnswer: 2, 3, 41, 137, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22253*i**2*r**2 - 2*i**2*r - 17*i*r**2 + i*r - 4*i - 36*r - 37 wrt r.\nAnswer: -44506*i**2 - 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-3 - -11) - -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5436 + 2.8.\nAnswer: -5433.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.068 - 162.932. Let a = d + 162.999764. What is a rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 751018242?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1357 and 322789.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 5, 1\/2, 101, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -106*m**2 + 2*m. Let o be 12 + 9\/(-18) + (-2)\/4. Let f(j) = -8*j + o - 11 - 5*j + 11*j. Determine c(f(w)).\nAnswer: -424*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9\/8530 = 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -w + 4*w + 830, -2*x - 1366 = 5*w. Let k = w + 1649\/6. Let p = 3.2 - 0.2. Sort p, k, 5, 0.6 in descending order.\nAnswer: 5, p, k, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(4)\/sqrt(2)) - sqrt(10)\/sqrt(5)*-5)**2 + -2*(sqrt(12)\/((-2*sqrt(36))\/sqrt(6)))**2.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2 - 21*o + 3. Is 24 a factor of l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 211 - 187. Calculate the remainder when 503 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3 - 733*q**2 - 64070*q - 63336 = 0 for q.\nAnswer: -78, -1, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 108*y**2 - 105*y - 52. Let a be j(53). Let t(g) = g**3 + 10*g**2 + 9*g - 7. Let r be t(-9). Put r, 0, a in decreasing order.\nAnswer: a, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1320\/88*-7*(-6)\/30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.67, -5.14, -177 in increasing order.\nAnswer: -177, -5.14, 0.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 divided by 6?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 8. Let s = 64 + -128. Let u = s - -66. Solve -6 = w*a - u*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 41*d**2 + 24*d + 794. Determine c(42).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 123.14 (b) 2\/7 (c) 0.4 (d) -3 (e) 3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -113.5. Let k = 14 - 11. What is the second smallest value in -0.2, -22, k, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cc46 (base 14) to base 4.\nAnswer: -102000132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from -0.81.\nAnswer: 14.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-9) + 6\/(-9). Let q(i) = -5*i**3 + 16*i**2 - 5*i + 26. Let s(n) = -n**3 + 3*n**2 - n + 5. Let a(r) = 2*q(r) - 11*s(r). Determine a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*k**4 + k**2 + 25*k**4 - 7*k**2 wrt k?\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2006\/236*2\/136. What is the nearest to 1\/4 in v, -1, 0.26, 3\/11?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 2) + 157 + -162\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-5))\/(24\/160))\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28986 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 14*i**2 - 14*i - 17. Give r(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 189, 282, 403, 546, 705?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041*w - 33 = -7*c + 1042*w - 3126*w + 1044*w, 3*c = -5*w + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 68*i + 2207. Let q be k(-23). Is q at most as big as -415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/21)\/(84\/2646).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i + 5*i - 4*i - 2*i**3 + 11*i**2 wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.36 - -0.04. Let q = -114 + 113. What is the closest to a in q, 0.4, -4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/5)\/((-3)\/(60\/8)). Let r = -10 - -9. Put 4, r, q in decreasing order.\nAnswer: 4, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49a9 (base 11) in base 5?\nAnswer: -202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*w - w. Let y be -1 + -1 - (w - 0). Solve y*j - 3*j = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/150, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 15. Suppose 0 = -3*a + a - 5*b - 1, a + 2 = -z*b. Let c(y) = 44 - 2*y - a*y - 47. Let s(o) = 11*o + 8. Determine -8*c(k) - 3*s(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1300 - 1300. Let w(q) be the second derivative of -3*q - 1\/10*q**6 - 3\/2*q**3 - 1\/4*q**4 + 3*q**2 + 9\/20*q**5 + m. Factor w(p).\nAnswer: -3*(p - 2)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 96 = -2*p. Let w be ((-2)\/9)\/(4\/p). Determine x, given that 16\/3*x + 218\/3*x**4 - w - 70\/3*x**5 + 70\/3*x**2 - 226\/3*x**3 = 0.\nAnswer: -2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 26 = -9. Suppose -p = -2*i - 3. Suppose t - 3 = -i. Solve -v = -1 - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 34*l = -9. Let x(c) = -2*c**2 + 27*c + 11. Is x(l) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8023 and 1921?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 - (16\/10 + -3). Let k = z - -51. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89506?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p**3 + 0*p + 1\/4*p**4 + 0 + 1\/20*p**5 - 4*p**2. What is the second derivative of x(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18850454*p - 18850454*p - 4525*p**2 to y + h*p + i*p**2 and give i.\nAnswer: -4525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 75597312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -438, 1\/2, 79 in descending order.\nAnswer: 79, 1, 1\/2, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/8 and -41\/1274?\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(153) + sqrt(153))**2 + 3.\nAnswer: -60*sqrt(17) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 53. Let l = 0 - 1. Sort l, d, -2\/5 in ascending order.\nAnswer: l, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 2*n + 12 = 0. What is the smallest common multiple of 24 and (2*n\/(-5))\/((-4)\/520)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1362*-212\nAnswer: 288744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 0*m - 2*m + 1 - m**2)*(-m**2 + 3 - 3).\nAnswer: m**4 + 2*m**3 + 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 - i**3 + 4*i**3 - i**3 - 3*i + 3*i + (-i + 2*i - 3*i)*(2*i**2 + 0*i + 0*i) + 0*i**3 + 0*i**3 - i**3)*(-581 - 1371 + 304 - 520).\nAnswer: 15176*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 2, y: 11}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 12676080.\nAnswer: 139436880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237663 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 51*b + 296. Determine y(44).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2 + 1 - 1 - 1 + (-2 + 3 + 0)*(-6 - 1 - 8))*(4*p**3 - 6*p**3 + 7*p**3) to the form s + m*p**3 + x*p**2 + b*p and give m.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0359 and 1.\nAnswer: -0.0359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to -142\/3385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 182 - 206 = 8*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 31*l**2 + 8*l + 26. Is d(-3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37467\/(-905) + (-48)\/(-20).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 1. Let x(q) = -q + 21. Let c(k) = -2*u(k) + x(k). Let s(a) = 4*a - 11. Calculate -6*c(f) - 13*s(f).\nAnswer: 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (627\/(-19) + 34)*10\/(1 + 1). Let r(w) be the third derivative of -w**5\/60 + w**3\/6 + w**2. Let z(y) = 6*y**3 - 5*y**2 + 7. What is o*r(q) - z(q)?\nAnswer: -6*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 128\/22 + 16\/88. Suppose 2 = l - 2*i, -b = -3*l - 3*i - 0. Suppose -153 + 19 = -l*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -554.545 + 0.545. Let q = i - -553. What is the second smallest value in q, -0.2, 3, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5*(466\/2 + 5 + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 1. Let k be q(-6). Let r = -22 - k. Suppose 4*i + 2*z = 164, i - 2*z = 16 + r. Calculate the greatest common factor of i and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 44 - 0. What is the highest common divisor of d and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40887325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67 (b) -0.1 (c) 0.06 (d) 17\/9 (e) -5 (f) -2 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-10 + (9 - 7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 + 227*c**2 - 154*c - 5931. Calculate y(-76).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) - 7\/(-3). Let r(p) be the first derivative of p**3\/3 + 2*p**2 - 3*p + 15. What is r(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. Suppose z*y - 21 = 35. What is the lowest common multiple of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445658117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11574 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n + 1194491 = -207014. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.83 + 0.43. Sort l, 0.6, 2\/5, 4 in decreasing order.\nAnswer: 4, 0.6, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*s + 4. Suppose -3*a - s = -z, 2*z = 5*z + 5*a - 9. Solve 3*h + 16 = -5*y, -2*h - 2*h - 2 = -z*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -5.50738?\nAnswer: 2.75369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 10 = b - 78, 0 = 5*b + 5*f - 420. Let y be (674\/(-6))\/(3\/(-9)). Suppose y = z - b. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -799 - -987. Calculate the remainder when x is divided by 57.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-235)\/20*(1 + -5). Let o(n) = -n**3 + 8*n**2 - 7*n - 4. Let k be o(7). Let r = p - k. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 12:22 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-2))\/(50*40\/(-800))\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 5, 7.\nAnswer: 5, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123*w - 59?\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12536 = 2*o + 2*k, -3*k + 5*k - 43896 = -7*o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 306\/28)*6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-228 + 225)\/((7 + -3)*(1 - 0)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*1*(2 + -3). Suppose 5*j = 5*y - 2*y, -3*y = -w*j - 6. Suppose 2*u - 20 = -j*u. Solve -u*p = -20, -3*f - p = -2*f - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5657104?\nAnswer: 2, 131, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 7*b = 28725. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - -72b40b?\nAnswer: 72b432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 41930\nAnswer: -22\/20965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 - -89. Let s be 1*-2 - (h + -3). Sort s, -4, 3 in decreasing order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310414?\nAnswer: 2, 13, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5061 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2311 + 4.4481. Let b = h - 0.167. Let t = 4 - b. What is t rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-3))**(5\/2)\/((s**(-2\/13)*s)\/s**0))**(-12) assuming s is positive.\nAnswer: s**(522\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/277338 and 26\/3.\nAnswer: 277338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4 + 1 - 3 + 19*o - 3. Let t be a(2). Suppose l - 13 = -l + q, -3*l = 2*q - t. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.2, 173\/4?\nAnswer: 173\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6)\/y*y**(-3))**(-4\/33)*(y**(-2\/17)*(y*y**(-4)*y)\/y)**(-7\/8) assuming y is positive.\nAnswer: y**(5713\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {q: 1, o: 1, w: 1, a: 2, c: 1, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 183204611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-2 + 3) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4))\/(u**(-2\/13)\/u*u)*u**(2\/7)*u\/(u\/(u**(-3)\/u)))**(-11) assuming u is positive.\nAnswer: u**(6567\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + x + 22. Suppose -s + 0*z - 2*z = -16, 4*s = 4*z + 4. Let w = -6 + s. List the prime factors of h(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1720 and 105197866?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 601.0947338 rounded to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*z = 26, -168 = 2*z - 170. What is the smallest value in 27, r, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 36 + 63 - 99.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2 + 6*i + 6. Let p be y(-4). Suppose 3*a - 30 = 36. What is the remainder when 2\/13 + (-8430)\/p is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 6:14 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 + 13 = -3*a, 2*r - 22 = 4*a. Suppose -2*j + r = -k, -6*k - 2*j = -k + 13. What is k rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047230054 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -675 + 1073. Let h = 424 - j. Is 0.2 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 - -5) + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 476\/6902 - (-1231889)\/29 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155158026*n**2 - 2*n - 66609192 wrt n?\nAnswer: -310316052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546 + 589 = 5*c. Are c and 227 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-2 + -10 + 20 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7707063*g**2*k**2 + 34*g**2*k - 79960*k wrt k.\nAnswer: 15414126*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -0.18. Which is the nearest to x? (a) 0.1 (b) -2\/15 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/5 - 24*f**3\/5 + 12*f**2 - 56*f\/5 + 18\/5.\nAnswer: 2*(f - 9)*(f - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 491160 and 6262290.\nAnswer: 25049160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/36)\/(10\/(-6)). Sort j, 2\/5, 4 in decreasing order.\nAnswer: 4, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5574147, 5574434, 5574723, 5575014?\nAnswer: 5575307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -r + 21, -2*r - 76 = -5*r + 2*u. Do r and 25 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 1:44 AM and 9:38 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 50.7 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1 - 3)*(-22 - 26424\/(-1200)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {m: 1, v: 5, z: 2, q: 2, l: 4, r: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/5 + 254371344*k\/5 + 16176195162091584\/5 = 0 for k.\nAnswer: -127185672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(1\/4)*q*q)\/q**(-1\/3)*(q\/q**(-1\/3))\/q**5*((q**1)**(-6))**8 assuming q is positive.\nAnswer: q**(-553\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 3*i + 2. Let q be 4\/16 + (-9)\/4. Let o be b(q). Suppose o = -f + 4 + 2. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 minus 0.081802?\nAnswer: -66.081802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13, -203, -13, -1, 8 in increasing order.\nAnswer: -203, -13, -1, 0, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 5*m**2 + 9*m - 6. Let o be k(3). Suppose o*s = 5*r - 2344, -2*r - 2*s = -7*r + 2341. What is r rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 4*w**2 + 5*w + 5. Let p be v(-2). Let u be 5*(p - -1)\/(-4). Solve 3*o - 2*o + 2 = -2*t, 5 = -u*t - 3*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 6 = 3, 0 = 5*r + 5*s + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(43*o + 122 - 122)*(2*o**3 - 27*o + 27*o).\nAnswer: -86*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 3*t - 28, -28 = -5*p + 2*t. Suppose 0*i + k = -p*i + 6, -5*i = -2*k - 1. Is i >= 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9 = 0, 0 = -64*u + 66*u + x - 17 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000015917 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*j*p**2 + 13*j*p*s + 10*j*s - 12*p**2*s**2 - 480*p**2*s - 32*s**2 wrt p.\nAnswer: -322*j - 24*s**2 - 960*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37711, 37454, 37197?\nAnswer: 36940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + -10 + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -11\/6 (c) -5\/22 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 0. Let l = 2 + 87. Suppose 8*w - 441 + l = h. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-35)*(-5)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/20)\/(18\/48). Let n be (-7 - -3) + -1 + 4. Put -3, a, n, 12 in increasing order.\nAnswer: -3, n, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 10*f**2 - 21*f - 35. What is the least common multiple of g(-8) and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 22204908?\nAnswer: -5\/22204908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -1)*21\/(-14) + -2. Suppose -v + s - 1 = 0. Let p = 54 - 21. What is the highest common divisor of p and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8060 or 56423\/7?\nAnswer: 56423\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1173*b*p**5 + 2*b*p**4 - b*p**2 + 19*b - 372*p**3 + 4*p**2 + 514 wrt p.\nAnswer: 70380*b*p**2 + 48*b*p - 2232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -60*g + 59*g, -3*g - 7 = 2*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*k + 16, 4*k - k + 4*k + 77 = b + 36 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/497702 and -67\/2488510?\nAnswer: 2488510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-56)\/21 - 2)*-2*(-15)\/(-20). Let i(k) = -27*k. Let z(s) = 28*s. Determine v*i(d) + 6*z(d).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/20 + 2*n**4\/3 + n**3\/6 + 5*n**2 + 3*n. Calculate the least common multiple of 14 and h(8).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -112 (b) 5 (c) 2\/9 (d) 1\/27 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3\/3 - 4492*f**2\/3 + 847445*f\/3 - 5712350\/3 = 0.\nAnswer: 7, 190, 4295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.055 years to months.\nAnswer: 2388.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -19 + 3 + (3 - (5 - 2))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2430))\/((sqrt(300)\/sqrt(5))\/sqrt(10)) - (5 + (sqrt(5)*5)**2*6)*-5.\nAnswer: -9*sqrt(5) + 3775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/70*108\/45*-5.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13583\/1332 - 38\/333. Let w = -1490 - -17767\/12. Find the common denominator of w and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2753*u**5 + 8*u**3 + 25773*u**2 wrt u?\nAnswer: -165180*u**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -89084 divided by 89084?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 36322?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4862397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95356 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/2)\/w))**(-4\/25)*w**(3\/8)\/(w**(-8)\/w)*((w**(-1\/8)\/w)\/w**(-5))\/(w*w\/(w**(-1\/3)*w))**50 assuming w is positive.\nAnswer: w**(-3229\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -20*d + 8*d + 2 + 12 + 8*d. What is w(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 170 in 6, -1, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4 + 52\/8 + -6. Suppose 0 = -0*n + f*n - 23700000. Round n to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312\/(-195)*90\/(-4)*12\/(-18)*-4?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 1159*r**5\/20 + 2967*r**3\/2 - 1522*r**2. What is the derivative of a(k) wrt k?\nAnswer: 6954*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0, -0.1, -0.4, -47\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 44321*x - 88698*x + 44352*x + 103. What is n(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1450040?\nAnswer: -1450035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 11*w**2 - 8*w - 14. Let c be r(-12). Let h = c + 103. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - 522\/(-12). Let y = d + -31. Let r be -2 + (-2 - -138) - 2. Calculate the greatest common factor of r and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - -0.01. Let f = r - 1.06. Which is smaller: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51442544 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: List the prime factors of 226963918.\nAnswer: 2, 29, 3913171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 13 - 2*v + (-31 - 8*v + 31)*(-1 + 1 + 1)*(-1 + 4 - 1) to o*v + k and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3311 - -3307. Suppose -4*p + 5 = 1. Let o be 1\/(-2) - (-15)\/54. Which is the nearest to o? (a) 2\/7 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/(-5) + 538\/1345?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/90)\/((-6)\/(-972)*18).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35857 divided by -23?\nAnswer: -1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -u. Let p(w) = 5 - 5 + w - u. Let m(y) = -2*y**2 + 2*y - 5. Let d be m(0). Let r(n) = 3*n - 9. Calculate d*p(c) + 2*r(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 553, 1054, 1555, 2056?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -84732, -84026, -83320?\n\"Answer: 706*u - 85438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5049\/(-84) + (-6)\/8. Let g = -61 - l. Sort 1\/2, g, 0.4 in ascending order.\nAnswer: g, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14079, -13979, -13689, -13113, -12155?\n\"Answer: 16*i**3 - i**2 - 9*i - 14085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) -1\/6 (c) -1\/10 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5349.\nAnswer: 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130)\/(-3)*(-2 + -7). List the prime factors of (4\/(-6))\/(4\/b).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -9*u**3 - 613. Let c(o) = -7*o. What is c(z(t))?\nAnswer: 189*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + u - 4 - 2*u + 3*u + 2*u + (-2 + 2 + u)*(0 - 4 + 5) - 8*u + 32*u - 2*u - 3*u + 2*u + 3*u - 3*u + 0*u + 2*u + (-2 - 2 + 3)*(-u - u - 3*u).\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 3545397.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 0 (c) 3 (d) 1 (e) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -44. Suppose -l + 4*w = -2, -3*l + y*w + 6 = 4*w. Let n(m) = -m + l + m**3 - m + 0. Determine n(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*d**2 - 6*d + 87*d**2 + d + (2*d + d - 2*d)*(3*d + 2*d - 6*d) + 46*d**2 - 2267 + 2267 to w*d**2 + z + x*d and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59358063 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 5150?\nAnswer: 5145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**3 - 4*q**2 - 4*q - 2. Suppose y + 16 = 5*v, -153*v + 9 = 3*y - 149*v. Let k(r) = r**3 - r**2 - r - 1. Give y*j(w) + 4*k(w).\nAnswer: 11*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-50) + (-15324)\/(-300). Solve -25 = 46*m - p*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -30*m + 33. Let g be b(-2). Are g and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 - 9274346*r**2 + 10751682078790*r + 10751691353138 = 0 for r.\nAnswer: -1, 2318587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i**4 + 2*i**3 + 2*i**2 + 2*i - 5*i - 3 + 0 - 8*i**4 - 3 to o*i + q + r*i**3 + y*i**2 + w*i**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5769831 + 5742068.816. Let g = d - -27793.183926. Let q = g - 31. Round q to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 11, 0.16 in descending order.\nAnswer: 11, 1\/3, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.3 (c) 5.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from {y: 4, w: 2, d: 4, c: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -d - 1, d = 5*k - 7*k - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = -n + 7, -4*n - t + 15 = 0. Solve n*c - z = 0, 5*c + 0*z = 2*z + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1995205 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 99 = 2*m, -6*p + 8*p = -4*m + 210. What is the highest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*q - 46 - 14. Solve o = k - 0*k, 4*k = q*o - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154121.6 rounded to the nearest one hundred?\nAnswer: 154100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llj when three letters picked without replacement from mmjmmmmlmmjmmlmmlm?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12312210 (base 4) to base 2.\nAnswer: 110110110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 3*d - 3. Suppose 0 = 3934*z - 3921*z + 26. Let u(n) = 3*n**2 + 2*n + 2. Let h be 1 + (3\/(-1) - 1). Determine h*u(s) + z*q(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 6354?\nAnswer: 63540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 3*l - 7 + 2*l. Suppose d + 0 = -7. Let w = d - -7. Calculate h(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.671 * -5.\nAnswer: -18.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 296051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2325 times 231086\nAnswer: -537274950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1046*k**3 + 4*k**2 + 23*k + 12. Let v be g(-3). Let w = v + -12800. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401 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 the least common multiple of 252 and 22?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.693, 1\/4, 258, -6.\nAnswer: -6, -0.693, 1\/4, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*a**2*l**3*s**3 + 3*a**2*l**3*s**2 + 5*a**2*l**2*s**3 + a**2*l**2*s**2 - a*l**2*s**3 wrt l.\nAnswer: 276*a**2*s**3 + 18*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788319 is divided by 166?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 0*a**3 + 87*a**3 - a.\nAnswer: 87*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 61, 93, 147, 229, 345?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(300)*3).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*d + 112, -d + 3*a + 38 = -2*a. Suppose -20 = d*v - 62*v. What is the third biggest value in -4, v, 0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q - 112 + 112)*(0 - 1 + 5 + (-1 + 0 - 1)*(3 + 1 - 3)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(7)*5 - (sqrt(70)\/sqrt(10) + 0)) + (1*sqrt(14)\/sqrt(2) - (3 + sqrt(175) + sqrt(7))))**2.\nAnswer: -84*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (211 - 237 + x - 245)*((-2 + 2 - 2*x)*(-x - 3 + 3) + 0*x**2 + 2*x**2 + 0*x**2) in the form p*x**2 + n + l*x + w*x**3 and give p.\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19887 is divided by 254.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*b + 2)*(-b - 4 + 4) - 2*b - 6*b**2 - 11*b**2 + 0*b.\nAnswer: -19*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1702*n**3 - 3*n**2 + 695*n wrt n?\nAnswer: -10212*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t + 1008 = 12*t. What is the smallest common multiple of 14 and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -16 (b) 0 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 4*x + 5724 = -22*h, -9563 = -5*h - x. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 35, -2\/13, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*u**2 + 135*u**2 - 265*u**2 + 14*u**3 + 11*u to t*u**2 + s*u**3 + l + b*u and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 4. Let i = -5343 + 5342.75. Which is the second smallest value? (a) i (b) 1 (c) z (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2. Let f(o) be the second derivative of -53*o**3\/6 + 185*o. Calculate k(f(u)).\nAnswer: 8427*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 198233105289.2 and 0.13.\nAnswer: 198233105289.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -12 + 39 + 27 + -56\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -234.2, -5, -4 in decreasing order.\nAnswer: -4, -5, -234.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 0*y**4 - y**4 + 3*y**4 + y - y + (3*y**3 - 6*y**2 + 6*y**2)*(3*y - 5*y + 0*y + 1).\nAnswer: -5*y**4 + 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-4))\/(-7)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 32\/5 of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(195\/(-732) - 2\/(-8)). Does -66 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1874 at most 0.0386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 68 - (2 - ((-17 - -52) + -27 + -10)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579249 is divided by 2671.\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 6*h**3 - 6*h**3 - 8*h**3.\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*((sqrt(110) + (sqrt(110)*-6 + sqrt(110) - sqrt(110) - sqrt(110)))\/sqrt(2)*-3)\/(-2*(sqrt(5) - sqrt(3000)\/sqrt(6))))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 3*s + 4, -62*s - 4 = 3*q - 67*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205 is divided by 381.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 11*s**2 - 18*s - 6. Let y(a) = 59*a - 463. Let m be y(8). Determine n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*u - 9*u - 132 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 0.1, 2, 0.048, -0.5, 267.\nAnswer: -89, -0.5, 0.048, 0.1, 2, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28100 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88962 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {l: 2, w: 1, d: 1, c: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/2)\/((-9)\/(-6)). Suppose -7 = -3*l + 3*x - 4, 4*x + 4 = -l. Suppose 4*u + q = 0, l = h - 2*h + 2*u + 113. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2\/7, 0, -2 in descending order.\nAnswer: 13, 0, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10086890, 10086885, 10086880?\n\"Answer: -5*w + 10086895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 1175?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -37*g - 195. Let i be f(-13). Suppose -17*w + 167 = i. Let v(d) = -2*d**2 - 12*d + 6. Calculate v(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*t + 614, -3*t = t + 20. Calculate the common denominator of (-4)\/24*129\/5 and -3 + 0 + x\/(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31351 is divided by 1957?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -67. Let v be i\/17*((-7)\/(-6) - 1). Let w(q) = q - 1. Let t be w(2). Is v >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127713 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*i - 2, 0 = i - 3 + 4. Let c(t) = 3*t**3 - t. Let f be c(1). Suppose a = z + 1 - f. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 24\/7 (b) -2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 3*y. Suppose -l - 3*q = -y, -4*q - 2 = l - 1. What are the prime factors of (l\/((-140)\/144))\/(2\/(-20))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 9*c**2 + 18*c - 2. Determine o(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 14) to base 7\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 51*c**2 - 473*c - 97. Give p(-59).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011775 to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-494)\/(-62) - (-34 + 1 + 70 + -29).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 + -44. Let j = k - 29. Suppose 1 - 15 = -4*x + 2*p, 3*x + 4*p = 16. Calculate the remainder when j is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22354 - -22354.119746. Let m = 179.12 - 179. Let g = m - j. Round g to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -11 - 101. Solve r = -3*t + 7*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:28 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -48*k**2 + 2*k - 2. Let v(d) = -2975*d**2 + 125*d - 125. Give 2*v(t) - 125*z(t).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 6920?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**2*x**4 - 8391*p**2*x**3 - 105*p**2*x**2 - 7*p**2*x + 11*p - 3*x**4 + x wrt x.\nAnswer: 96*p**2*x - 50346*p**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 984 (b) -1994 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 260*w**2 - 9825*w - 189000.\nAnswer: 5*(w - 35)*(w + 15)*(w + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 223, 217, 201, 169, 115, 33, -83?\n\"Answer: -i**3 + i**2 - 2*i + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 12*r + 16 = 11*r, 7*r - 78 = -2*q + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 + 106.94. Let q = 2.06 + v. Which is the closest to -1\/8? (a) 1 (b) q (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by (5 + 58\/(-12))*498.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {n: 1, a: 1, t: 2, k: 1, l: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 11 + 97. Suppose 5*b = 20, -h = 4*b - i - 3. Is 17 a factor of 302\/3 + h\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26\/9, -5\/6, -1\/9?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 14. Let y(a) = -1. Let k(j) = -r(j) - 3*y(j). Let n be k(-13). Suppose -d + 2*d = 3*q + 48, n*d - 105 = -3*q. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9556302829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-389*n**2 + 389*n**2 + 23*n**3)*(-42*n**2 + 1364*n - 1364*n).\nAnswer: -966*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 69 = 3*v, -26 = 15*v - 17*v - 3*h for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 61.35, 51, 1, 0.4, 0.06 in increasing order.\nAnswer: -3, 0.06, 0.4, 1, 51, 61.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 15. What is the remainder when 27 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7\/5, 25.49 in descending order.\nAnswer: 25.49, -7\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 13*a**2 - 11*a + 13. Let z = 12 - 24. Let o be q(z). What are the prime factors of (-40)\/(-12) - o\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 - 143. What is the third smallest value in -0.2, -4\/3, g, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 8*c + 3. Let k be z(3). Solve -3 = 3*t - k*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 4*b + 7. Let y be z(-5). Suppose c - y*c + 3 = 0. Let k = 5 + -3. Solve 5*r = c*p - 0*r - 6, p - 2*r - k = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 420660*n**2 + 44201667588*n + 7792529311424.\nAnswer: (n - 210418)**2*(n + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*z + 3129120 = 43*z. What are the prime factors of z?\nAnswer: 2, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/((-4)\/(-3)*(-6)\/4). Let q be (300\/8)\/((-6)\/(-16)). What is the highest common divisor of q and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4*a\/(a\/a**4)*(((a*a\/a**(-2)*a*a)\/a)\/a*a)**22 assuming a is positive.\nAnswer: a**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1688, 200, 40, -3 in descending order.\nAnswer: 200, 40, -3, -1688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2754?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -4071 = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-65))\/(3\/4 + 580\/400)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 + -1228\/7. Let u(t) = -t**2 + 15*t - 14. Let s be u(14). Let j be -3*((-16)\/(-36) - s). What is the third biggest value in j, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 897 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let c(z) = -172*z + 1. Determine b(c(d)).\nAnswer: -344*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:35 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 511 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -130617936 divided by 233?\nAnswer: -560592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*3.8056.\nAnswer: 1.14168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 377\/14 + -27. Suppose -2*q + 5 = o, -3*o = o + 2*q - 26. Let t = 6 - o. Is t > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2367 - -3498. Let d = x + -793. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*q + 3, -x + 5*q = -868. Round x to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 28*h + 114*h + 956 - 228, -h - 18 = -4*h + 3*h + 2*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3*o + 124307*g**2 - 130804*o wrt g.\nAnswer: 6*g**2*o + 248614*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - c + 1 + (-c - 3 + 3)*(2 - 3 - 1) + (1 + 3 - 1)*(9*c + 4*c - c).\nAnswer: 37*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaunanonan. Give prob of picking 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = -24. Let s = -3 + o. Let i = s - 1. Solve 4 = i*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14372672 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: Let t be 1\/((-1)\/(-298)*-2). Let k = 231 + t. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose -b*v = -2*o - 2*o + 20, -2*v = 2*o - 10. Suppose r - 6 - 16 = v. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/4 + 50*v**3\/3 + 286*v**2 - 1352*v + 668. Factor h(x).\nAnswer: (x - 2)*(x + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/1905 + 1053\/5080. Calculate the common denominator of f and -71\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5148, -9045, -12932, -16809?\n\"Answer: 5*x**2 - 3912*x - 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/10)\/((-18)\/(-15)))\/((-2)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4395, -4393, -4391, -4389?\n\"Answer: 2*v - 4397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323, 1375, 3125, 5573, 8719?\nAnswer: 12563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 385698852?\nAnswer: 1157096556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 24, 67, 116, 165, 208, 239?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 483, 482, 481, 480?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-5796))\/((-2)\/(-8)). Let v = m + 10175\/7728. Find the common denominator of -5\/8 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (301\/258)\/((-21)\/(-18)*(-2)\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11064172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 233541985 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 5*o**7\/168 + o**6\/4 - 3*o**5\/16 - 5*o**4\/3 + 5*o**3\/2 + 17*o + 9. Let a(t) = 0. What is t?\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(833) + (sqrt(833) + -1)*2)*-6 + -5*(-2*2*sqrt(833) + sqrt(833)))*1)**2.\nAnswer: -630*sqrt(17) + 7722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, l: 1, a: 5}. Give prob of picking 2 a.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -210111121101 (base 3) to base 2\nAnswer: -1100111010101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 170 = -0*c. What is the remainder when c is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q - 8 = -44 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 15, -20, 0 in descending order.\nAnswer: 15, 0, -14, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48093441 divided by -5.\nAnswer: -48093441\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15954 = -127*x + 4157901. Does 35 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253*(156\/276)\/(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 906752 and 113344?\nAnswer: 906752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -49*g**3 - g. Let s be p(-1). Suppose -3*z = -18*z + 300. What is the highest common divisor of z and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 5. Let x(n) be the third derivative of n**3\/6 - 3*n**2 - 18*n. What is -w(y) - 3*x(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, b: 8, o: 8}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 4*z - 8. Let x be 1 - (106 + 5) - (-1 + 5). Let q = 109 + -2. Let s = x + q. What is j(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*d*m**3*z**3 + d*m**3*z - 4*d*m**2*z**3 + 2*d*m**2*z**2 + 11*d*z**3 wrt m.\nAnswer: 792*d*z**3 + 6*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36680685 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eda (base 16) in base 3?\nAnswer: 12012211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(3\/22)*h)\/h))**43*(h**(2\/99))**(-17\/3))**26 assuming h is positive.\nAnswer: h**(285883\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82800559 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u - 20*u**2 + 22 + 124*u**3 - 57*u - 255*u**3 + 130*u**3. Does 27 divide q(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 112915 in decreasing order.\nAnswer: 112915, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4077\/4 - -1027. Let t(h) = 2*h - 4. Let u be t(5). Find the common denominator of (-39)\/8 - (-3)\/u and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16 + 4*j - 6 + 50 - 7. Let h(p) = -p - 5. Calculate 18*h(y) + 4*l(y).\nAnswer: -2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 109011402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57 - 738?\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(128) + -4 + -1*sqrt(128) - (sqrt(18) + sqrt(126)\/(sqrt(7)*-2))\/(sqrt(18)\/(sqrt(2)*-2) - sqrt(9)))*3)**2 + -4.\nAnswer: -54*sqrt(2) + 727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 833019?\nAnswer: 2499057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 371*x + 3 - 4 + 0 - 74*x - 2 as w + n*x and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5124, -20117, -44990, -79743, -124376, -178889, -243282?\nAnswer: -317555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -4, 170, 154 in increasing order.\nAnswer: -4, 1, 3, 154, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 2. Let a be (-67191 - (2 + f))\/13. Let p = -5172 - a. What is the common denominator of 3\/4 and p?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5 - 29367*q**4 + 15*q**3 - 7069345*q wrt q?\nAnswer: -40*q**3 - 352404*q**2 + 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(1*(sqrt(128) - -6*(sqrt(128) + -1 - sqrt(128)))**2 + 1*sqrt(128)*-4 + sqrt(128) + ((sqrt(128) + -1 - sqrt(128)) + 0)**2))*1.\nAnswer: -600*sqrt(2) + 823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 64 - 56 + 28*q**2 - 6*q - 3 - 6*q**3 + 76. Solve d(h) = 0 for h.\nAnswer: 1\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 15) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/25)\/((-4)\/10). Let d(w) = 21*w + 65. Let s be d(-8). Let b = 103 + s. Is b less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5096, 28, -82 in ascending order.\nAnswer: -82, -5, 1, 28, 5096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:42 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29c - 3b9?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {o: 3, t: 3, m: 3, e: 2, v: 5}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 212558090 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/120 + i**4\/8 - i**3\/3 + 3*i**2. Let o(b) be the first derivative of r(b). Calculate o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9992.259 meters?\nAnswer: 999225.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -746624 (base 8) in base 16?\nAnswer: -3cd94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-36))\/((-6)\/96*-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 10*u**2 + 8*u + 1. Determine h(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4377285 and 107\/31548?\nAnswer: 17509140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from etttedtzy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huu when three letters picked without replacement from phudu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127\/33 - -11\/3. Let m = -24.5 - -25. Which is the smallest value? (a) y (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1698*h + 0*h**3 - 10*h**3 - 1699*h + 2*h**3 in the form z*h + n*h**3 + f + c*h**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34375171 + 0?\nAnswer: 34375171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from ryvxyyv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-655 + 510 + 844 + 915 + 356)*(-2*s + 2*s + 3*s**2).\nAnswer: 5910*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 33004753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/32 and -73\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 114 or 0.16086?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 + 116 = 9*q. What is the remainder when 59 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.82 + -28.8201191. What is y rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-21))\/((-1)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*k - 6 + 1 - 4 - 10 + 6 to f*k + r and give f.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2172940 and 20.\nAnswer: 2172940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9\/3 - 1522)*14*(-18)\/252 is divided by 187?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 33616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2, -45, 3 in descending order.\nAnswer: 3, 2, 0, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 4:25 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/44*(-12)\/(-6)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5 + (-28)\/(-80))\/(99\/9900). What is the greatest common factor of 135 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6250 + -260343?\nAnswer: -266623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -5343.556?\nAnswer: 5340.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 - 2*o**4 + o**3 + (3*o + 0*o - o**3 - 5*o)*(-o + 7*o + 4*o) + o**4 - 5*o**4 + 2*o**4.\nAnswer: -14*o**4 - 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5350443 and 115.6565.\nAnswer: 116.1915443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - k**3 + 4*k**3 + 0.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = -123. Suppose 5*b - 19 = u. Suppose -5*n + 17 = -13. What is the greatest common factor of n and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 11. Let n = h - 28. Let z = 12 - n. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/6 - 35*o**3\/6 + 3*o**2\/2 + 8*o. Let f be g(21). Suppose -35*q + 40*q = f. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -a51?\nAnswer: a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 911 + -1286. Let o = s - -417. Let q be (-3)\/4*(-28 - 0). What is the greatest common divisor of q and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 2*n**2 - 4*n + 131. Is d(0) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + ((-99)\/21 - 2\/7). Let d(i) = -11*i + 4. Let h(g) = -4*g + 1. Determine x*h(b) - 2*d(b).\nAnswer: -6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-20))\/(-3) - 45\/(-50). Let q = 6.7 + -6.719. Let f = q - 56.981. Which is the nearest to -1? (a) -4\/7 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 91 = -4*y + 3*g + g, y + 388 = 3*y - 4*y - 68*g for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n - 33. Let t be v(-10). Let d = -25 + t. Suppose -d*x = -3*x + 16. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, c: 1, d: 1, b: 1, m: 1}. What is prob of picking 1 d and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2*i**(2\/17)*i**0\/i*i*i*i**(5\/6) assuming i is positive.\nAnswer: i**(403\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:15 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21673 + -390077.5422.\nAnswer: -390077.75893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*j\/(j\/(j**(14\/5)\/j))*j)**(16\/3) assuming j is positive.\nAnswer: j**(944\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.66 + -11.94. Let c = -12 - y. Let q = 3.6 - c. What is the smallest value in q, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 15 = 3*g - 15*t, -5*g + 19 = 3*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 101101 (base 2) to base 15\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -23 + 67. Calculate the remainder when 68 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**3 - 4*y. Let w(z) = -z**3 + z. Give -q(h) - 4*w(h).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - s**2 - 2*s + 3. Let f be l(2). Let x be ((-6)\/5)\/(16\/40). Let z be (1 + 10\/x)*-9. What is the highest common divisor of z and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2735130 by 1054.\nAnswer: -2595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2962040 and -163\/120.\nAnswer: 8886120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 920467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -13) + (-544 + 505 - (3 + 4))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*v + v + 28, -2*s + 18 = -4*v. Let d(b) = 5*b - 30. Let r be d(7). Solve 7*t - 2*t = -5*i - 5, -s = r*i - 5*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 4*i + 25. Calculate l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-20))\/(1\/(1*10)). Suppose -2*w = -4*n + 70, 3*n - s*w + 4*w - 55 = 0. Calculate the greatest common divisor of n and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*5175.\nAnswer: -155.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -9*o + x - 805, -5*x + 625 = -3*o. Let v be (0 + -2)\/(-2)*-349. Let b = o - v. What are the prime factors of b?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*h = -90*h. Let -4\/7*q**2 + 2\/7 + 2\/7*q**4 + h*q + 0*q**3 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171 + -119. Suppose d*a = 50*a - 2. Let y be (-10*10\/(-6))\/(a\/(-58800)). Round y to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 2*a**3 - a + (-a - 2*a + a)*(3*a**2 + 4*a - 4*a) - 1020 + 40*a**3 - 33*a**3 - 5*a**3 to the form z*a**2 + x + w*a**3 + f*a and give x.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 23*b + 13. Let z = -107 - -96. Calculate s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**3 + 6*g**3 - 4*g**3 + 8*g**2 wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2485 - 343. Is c a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 125*s - 497. Let d be w(4). Solve -d*i = 0, -5*i - 6 - 2 = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15735473 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13981140 is divided by 873820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -23 + (4 - 3). Let g be -2*55\/20*6. Let q = z - g. Solve 3*s - 10 = 8*w - 3*w, -5*w - 5*s = q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 6716631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20895?\nAnswer: 3, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 24*n + 1268. What is f(-50)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*r + 164 = 4*z - 194*r, 3*z + 2*r - 106 = 0. Suppose 399 + 113 = 8*u. Calculate the remainder when u is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okoo when four letters picked without replacement from {o: 7, k: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 18. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6973 and 2242.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(162\/(-6))\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 6 - 176*h - 5 + 174*h - h**3. What is c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8*h**3 - 5*h**3 + 3 + 7*h**3 + 7*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.823099 - -2\nAnswer: 4.823099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 53415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*o - 260 = -50*o - 55*o, -3*o = -3*g + 192 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 16. Let p(q) = 0*q**2 + v*q**2 - 4*q**3 - 3*q**3 + 4*q + 6*q**3. Give p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 142135*r**2 + 23425050*r.\nAnswer: r*(r + 165)*(r + 141970)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 1221?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*y + 98 = -c, 0 = -2*c - 4*y - 122. Let t = c - -92. Suppose 4*b - 51 = -t. Solve 4*x - b*m - 13 = 14, m = -3*x + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**10\/453600 - i**8\/60480 + i**5\/15 + 2*i**2. Let j(u) be the third derivative of k(u). Factor j(q).\nAnswer: q**2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/8 and -20\/51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 25. What is the greatest common factor of o and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + c + 5 + 4*c - c - 5*c + (c + 3*c - 5*c)*(0 - 4 + 5) + 6*c + c + c)*(4*c - 7*c + 2*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*w - 10, -281*j + 284*j + 5*w = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 75*z**2 + z - 22. Let b be d(25). Is (-10304)\/(-16) + 9\/b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-21) + -6)*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - z**4 + 0*z**2 + (0 + 0 + 2*z)*(-5*z - z**3 + 5*z) + 4*z**4 - 4*z**4 - 6*z**4 in the form p*z**4 + o + y*z**3 + h*z**2 + s*z and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**7\/504 + b**6\/16 + 7*b**5\/12 - b**4\/4 - 3*b**2 - 3*b + 15. Let n(h) be the third derivative of k(h). Factor n(u).\nAnswer: 5*(u + 2)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*((-55)\/10)\/11 - -1050.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -31, -52, -71, -82, -79, -56, -7?\n\"Answer: f**3 - 8*f**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**4 - 17984*q**3 - 5383376*q**2 - 417398080*q = 0.\nAnswer: -4180, -158, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85005 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-2 + 2*sqrt(245) + 2)**2 - (sqrt(245) + 0 + sqrt(245) + 1 + (sqrt(245) - ((0 + sqrt(245) + sqrt(245))*-5 - sqrt(245)))**2)))*-6.\nAnswer: 84*sqrt(5) + 205812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4689651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/7)\/(d\/(d**4*d)*d))\/(d**(1\/2))**(-4\/25))\/((d*d*d**(-2\/3)*d*d)**(-6\/17)\/(d**(-1\/2))**47) assuming d is positive.\nAnswer: d**(-117899\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -118*p**3 + 16*p**2 + 16. Let z(k) = -39*k**3 + 5*k**2 + 5. Calculate 5*q(h) - 16*z(h).\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 220. Let j(p) = 3*p + 621. Let y(d) = 6*j(d) + 17*q(d). Suppose -a = -5*a. Calculate y(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-245)\/(-25) - 8) + -2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 63382 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*z + 13*z - 35*z - 663 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1564 + -1559. Solve -5*q = b - 8*q + u, -5*q = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282787 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 45*q**4 + 6*q**3 - 63*q**2 + 3*q + 1. Let p(d) = -6*d**2 + d. Let l(c) = 3*p(c) - x(c). Find the third derivative of l(o) wrt o.\nAnswer: -1080*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -68*h - 2. Let n(a) = 69*a + 3. Let o(l) = 6*g(l) + 4*n(l). Let q(y) = 2*y. Determine o(q(x)).\nAnswer: -264*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12446 at most as big as 6272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 233743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -293*f - 1. Let m(s) = -2052*s - 9. Let x(i) = 4*m(i) - 30*n(i). What are the prime factors of x(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + n - 4*n = 282, 705 = 5*r - 4*n. Suppose -l + 27 = 4*s - 31, 0 = 3*l + s - r. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 44871300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-5)*b*b)\/b)\/(b*b**0\/b))\/((((b*b\/((b\/(b*b**(-4)*b))\/b))\/b)\/b)\/(b\/b**(5\/6))) assuming b is positive.\nAnswer: b**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6680*u**2 + 2216*u**2 - 2772*u**2 to x*u**2 + z*u + a and give x.\nAnswer: -7236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1. Let g(k) = -2*k + 20. Let d(n) = g(n) + 5*q(n). Suppose 4*f - z - 3*z = 36, -3*f + 17 = 2*z. Let w(s) = -6*s + f*s - 2 + 2 + s. Determine w(d(u)).\nAnswer: -4*u + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 196713671 to the power of 1\/2, to the nearest integer?\nAnswer: 14025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1722 and 1401134?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 12609. Let z(b) = 6*b**2 - 2. Calculate o(z(k)).\nAnswer: -12*k**2 + 12613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, -3\/251, -1?\nAnswer: -3\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose -3*p + 4*g + 4 = 0, -2*p + 3*g = -5 + w. Solve p = 4*i + 20 - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138998?\nAnswer: 2, 69499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 186.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -75. What is the smallest common multiple of z and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16 - 1550\/20)*(-1396)\/6?\nAnswer: 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opfvofoppoxxovoxv. What is prob of sequence xffx?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.87 + -54357?\nAnswer: -54366.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 - -370. Let u be (r\/25)\/(3\/15). Let w = -80 - -224. What is the greatest common factor of u and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z. Suppose z*q = 5*q - 110. What is the remainder when q is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:56 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**4 - 29388*k**3 - 72088560*k**2 - 574242384*k + 1437074160 = 0.\nAnswer: -4894, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -6 - -9) + -15 + 13 - -35 - 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -3, -0.4, -2\/13, -26\/589?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 49. 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: Let p = 0.119 - 3.519. Let o = 37 - 36.7. Sort p, -2\/19, -4, o.\nAnswer: -4, p, -2\/19, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 38 - 22 = 0. Suppose -5 = -s*q + 65. Suppose 3*p = 5 + 7, 3*d = 5*p + 46. Solve 0 = 2*y + 4*j + d, -y = -q*j + 3*j - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*(-27)\/136080*-60?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 3*c**2 + 2*c)*(3 + 0 - 2) + 5 - 5 + 2*c**2 - 9 + 2 - 14911*c**2 + 14899*c**2 to f*c + z*c**2 + y and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1924756699 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -956*x + 5 + 952*x - 5.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -771, -1277, -1783, -2289?\nAnswer: -2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 189. Let t = v - -85. Let w = -33 - -49. Calculate the remainder when t is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011000 + 100010001111100110001?\nAnswer: 100010001110110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2 - 4*l - 2. Let r be c(-3). Let z be (-880002)\/(-11) - (-8)\/r. Suppose m = -3*m - z. Round m to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -46, -64, -74, -70, -46, 4, 86?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 1318*z + 69423. Give g(55).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 + 1 = -42*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106657.\nAnswer: 106657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 2 = -2*z. Let t(n) = 14*n - 7. Is t(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-8) - 46\/(-72) and ((-43)\/2 - 0) + (-45 - -47).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 263524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 - -86. Sort -3, -0.5, -10, d in decreasing order.\nAnswer: d, -0.5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3)*6\/(-4). Let z be (-6376)\/(-1890)*(-15)\/905. Let n = -2\/1629 + z. Which is bigger: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2358\/5 in 2\/13, -1, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-4 + 5 + -5) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(5\/(-5)). Which is greater: 1\/9 or o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*q + 27 + 31, 5*b = 4*q + 88. Solve -2*j = -3*n + b, -4*n + 3*j - j + 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332672951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13858 divided by 13?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 464 and 678844644?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193302 is divided by 735?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/17)\/((35322\/(-3213) + 11)*6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-28) - 3\/(-6 + (-165582)\/(-27604)). What is the highest common factor of p and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**2. Let j(b) be the third derivative of -b**4\/4 - 6*b**2. Give j(k(l)).\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35575894850 + -35575894688.00000221. Let j = 162 - x. Round j to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -381150 divided by 1575\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4134, 8285, 12448, 16623, 20810?\n\"Answer: 6*u**2 + 4133*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2753 + -19223\/7. Let -4\/7*z**4 - 52\/7*z**2 + w*z - 16\/7 + 24\/7*z**3 = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -10, -1118 in descending order.\nAnswer: 1\/4, -10, -1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2 - 2*n. Let j(s) = -96*s. Calculate p(j(l)).\nAnswer: -55296*l**2 + 192*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4)*-1)) - (6*2*sqrt(15))\/sqrt(3) - (-2 + ((sqrt(25) + sqrt(25)*-1)\/sqrt(5) + sqrt(500)*-1)*-6))**2.\nAnswer: -994*sqrt(5) + 25254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*n + 5, a + 1 = -0*a - 3*n. Let t be 175\/55 + a\/(-11). Let m be -4*(-1)\/2 - t. Is 0 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**8\/1344 - u**7\/504 - u**4\/6 + 13*u**3\/6 + 21*u**2 + 2. Let h(v) be the second derivative of f(v). Factor h(d).\nAnswer: 5*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-15))\/(991\/29730)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - k**2 + 4*k**2 + 6*k**2 as s + x*k**2 + g*k and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 39063870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -59*u - 67*u + 38*u + 10 - 18. Let p = -11 - -5. Let o be f(p). Round o to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and -8.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/55? (a) 0 (b) 6\/5 (c) 1\/3 (d) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(3\/13))*t\/(t\/t**(14\/3))*(((t*t**(2\/5))\/t)\/t)\/(t**(-4\/15)*t) assuming t is positive.\nAnswer: t**(121\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*j - 756*j - 3*t + 65 = 0, 71 = j + 5*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*o + 198784 - 163706 = -651136. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + 61 + 202 + -219.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**(-6)*j**(1\/3)\/(((((j\/(j\/j**(-1\/2)))\/j*j)\/j)\/j)\/j)*(j**1\/(j\/(((j\/j**(1\/3))\/j)\/j)))\/(j**(-1\/6)*j**(-2\/5)) assuming j is positive.\nAnswer: j**(137\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) - (-32)\/12. Let l be (358\/(-1253))\/((6\/3 + -3)\/(-14)). Put c, -6, l, 5 in descending order.\nAnswer: 5, c, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4652 - -2.5348. Let d = 8 - 6. Let b = d - 3. What is the closest to 0 in b, -3, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 142*x - 61. What is the hundreds digit of i(45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248 + -230 - (2 + 0 + 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-1)*b*b)\/b)**(-37)*(b**0)**(4\/19))**48 assuming b is positive.\nAnswer: b**(-1776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 70496.85 micrometers in nanometers?\nAnswer: 70496850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 873134.5 tonnes?\nAnswer: 873134500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 673980.\nAnswer: -40438.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7740503182984923263\/647380 - -11956660976526. Let r = j + 2\/32369. Let i = -1357 + 5361\/4. Calculate the common denominator of r and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4\/4 - 13*k**3\/4 - 57*k**2\/4 - 99*k\/4 - 27\/2 = 0.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 j when three letters picked without replacement from jjfjxjjjjjjfxjx.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrz when three letters picked without replacement from zrhhyzznynhm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i. Let f be l(18). Solve -5*x + f = -3*h, 2*h - x + 5 = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/29 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3863*p - 96. Let d(f) = 7451729*f - 185232. Give 2*d(s) - 3859*h(s).\nAnswer: -3859*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*g**2 + 98*g**2 + 1 - 1.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000082 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 8*y**2 - 6*y. Let g be k(5). Let s = 0 - -18. What is the highest common factor of g and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prrr when four letters picked without replacement from prrrpprrrp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1271 + 1270.999992886. What is y rounded to seven decimal places?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -25*b**2. Let v(d) = -12*d**2. What is g(v(s))?\nAnswer: -3600*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*y = -0*y + 10, -3*y = 4*u + 8. Let q = -5 - u. What is the units digit of 2 + 2\/(-2 - q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 563036190 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123027879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/7 - (-1)\/(-1). Let s = 157\/2 - 80. Is s <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 7*r + 1. Suppose 5*x = 2*x - 18. Let k(p) = -p**2 - p. Determine x*k(a) - b(a).\nAnswer: 3*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 7*k**3\/2 - 462496*k**2 - 3039329*k\/2 - 396435 = 0.\nAnswer: -3, -2\/7, 132145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*c + 252*c + 240 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(175) + (-3 + 1*sqrt(175))**2) - (-3*(-1 + sqrt(175) + -3))**2.\nAnswer: -983 + 260*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*v**2 - 17*v**2 - 65*v**2)*(-2*v**2 - v**2 + v**2) + v**4 - 2*v**4 + 4*v**4 to a*v + i + f*v**2 + y*v**4 + t*v**3 and give y.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37395 + -55830. What is the units digit of 72\/(-84) + p\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64498467 and 59576.\nAnswer: 515987736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -31, -38, -47, -58?\n\"Answer: -q**2 - 2*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/11 (b) -0.03 (c) 8 (d) 1\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -830 - -830.000172. What is n rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68115235 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 10 (b) 1\/10 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135505683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 + 3)*(5 + 3*u - 5) as q*u + k and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 8. Let w(m) = 6*m - 41. Let l be w(7). Let d(j) = -1. What is l*f(a) - 6*d(a)?\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 56\/6 + (32\/(-112))\/((-6)\/(-7))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*x = 203*x + 72*x - 2112 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 435172 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59\/(-3) - -20)\/(2\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -709 - -704. Let d = 8 + -3. Suppose -b + d = 0, 8*f - 3*b = 3*f. Put f, o, -2 in decreasing order.\nAnswer: f, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8 take away -13?\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 + 1 = -s, 3*i = -5*s - 10. Let o(w) = 1 + i*w - 4*w + w**2 + w - 4. What is the smallest common multiple of o(5) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 41718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 36006363000 to the nearest 1000000.\nAnswer: 36006000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 21351.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgxytggttxg. What is prob of picking 2 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjjjxjjxxxxjxjxr. What is prob of sequence jjrj?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1452 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = 2*x - 1142*h + 1137*h, 0 = 4*x - 4*h - 1144. Calculate the greatest common factor of x and 812.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 5 + 47*u + 84*u - 15*u.\nAnswer: 116*u - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 905 or 2\/9?\nAnswer: 905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-three quarters of a millimeter?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7121*l**2*u**3 - 282*l*u**3 - 6*u**2 - u wrt l.\nAnswer: -14242*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 12*y + 10. Calculate h(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 1 + 11. Let c(d) = 0*d**3 + 2 + d**3 + 4*d**2 - r*d**2 + 3*d**2. Give c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r\/(r*r\/r**12)*(r\/(r\/r**(-12)))\/r assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayp when three letters picked without replacement from pppypypupuayppppy.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beveynf. Give prob of picking 1 b and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 13, -5476?\nAnswer: -5476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 122 + 34?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -12*q - 6*q. Let w be (q\/60)\/((-4)\/546). Let l = 115 + w. Solve -5*s = z - l, s + 4*z = 1 - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/8 and 101\/58560.\nAnswer: 58560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2 - (-36)\/72. Suppose 5 = 4*y - 3. Factor -1\/2*l**4 + 2*l - 3\/2*l**2 - 2*l**f + y.\nAnswer: -(l - 1)*(l + 1)*(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-22)\/4 - -4). Solve w + 3*v = 6, p*w - 5*v + 17 + 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 1. Let g(k) be the first derivative of -k**2\/2 - 6*k - 2. Let t be g(-5). Calculate n(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66751*u**2 + 8*u**3 - 66751*u**2 - 11*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 346254 and 9.\nAnswer: 1038762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -4*i + 2*i. Let g be (-66)\/i + 57\/(-152). Which is the smallest value? (a) g (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-21)\/(-39816000)). Round y to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - r**2 + 6*r + 5. Let f be n(-4). Let z = 945\/2 + -442. Let u = f - z. Is 0 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266025 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0597 - -3.1903. Let h = -1.75 - g. What is the third smallest value in 1\/2, h, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25369932 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {m: 5, e: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 80 + 13 - 66*f + 95*f + 41*f. Let v(b) = 139*b + 185. Let q(a) = -7*o(a) + 4*v(a). What is the first derivative of q(u) wrt u?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441310 (base 5) to base 12.\nAnswer: 8971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 6*w. Let t be m(-6). Let o = -1616 - -21022\/13. Are o and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27835151*f*r**2 - 29675*r**2 + 190*r wrt f?\nAnswer: -27835151*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 91*y + 15293. Calculate o(-143).\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -112, 4, -5.\nAnswer: -112, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 270 = -0*v + 4*l, -2*l + 8 = 0. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.057, -10, -38\/3, -1\/6, 24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 18 - (3 - (14 - (5 - 4)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-12) - (-14)\/(-12). Let p = 11 - 15. Let l be (-36)\/(-19) - (-2 - p). Which is the closest to -2? (a) v (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a6 (base 12) in base 4?\nAnswer: -222132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11533*a**4 - 2*a**2 + 42*a + 8?\nAnswer: 276792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9873769225 rounded to three dps?\nAnswer: -0.987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1140, 1093, 1000, 849, 628?\n\"Answer: -2*g**3 - 11*g**2 + 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(6\/5)*v)\/v*v*v**(2\/9)*v**7\/(v*v**(3\/4)))**(1\/7) assuming v is positive.\nAnswer: v**(187\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 425 (b) -559 (c) -3\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*m - 40, 6*n + 4*m = 5*n + 30. Suppose -72 = -2*y - n*y. Solve 4*x - y*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -67. Let l be -2*(s + (-78)\/4). Suppose -l = -4*f - 19. Let g(b) = 4*b - 4. Calculate g(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f + 1. Let o(p) be the second derivative of -4*p**4\/3 - 5*p**3\/3 + 6*p**2 - 24*p. Give -12*m(j) + o(j).\nAnswer: -4*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 53\/30*b**6 + 0*b**5 + 0*b**3 - 9*b**2 + 0 - 4*b + 0*b**4. Find the first derivative of v(j) wrt j.\nAnswer: 212*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*h + 275 = -93, 4*q - 2*h = 368. Suppose q = -5*k + 152. Differentiate -k - 18 + 15*y + 5 + 3 with respect to y.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + -1.53. Let i = -1.22 - y. Let n = 85\/78 - 12\/13. Which is the nearest to -1\/3? (a) n (b) 6\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 34. Let z = 0 - 0. What is the nearest to 0 in m, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9681 is divided by 362.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-47)*j\/((j*j**(-3\/13))\/j)*j**(1\/18)*j*j**(-7)*j*j assuming j is positive.\nAnswer: j**(-11633\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.8 from -535296.\nAnswer: -535287.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 126 = -13*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2796*b + 2794*b + h, 4*b = -h + 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20373381283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + 20*n + 9. Let f(m) be the second derivative of 5*m**4\/12 + 5*m**3 + 7*m**2 - 42*m + 10. Determine -5*f(s) + 8*p(s).\nAnswer: -s**2 + 10*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k**2 - 67*k + 40. Is t(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 4:25 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x**3 + 30*x**3 - 53*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501a (base 11) to base 10.\nAnswer: -6676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let w(c) = 0 + 86*c + 154 + 142. Let m(x) = 4*b(x) + w(x). Differentiate m(o) with respect to o.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - g)*(-2 + 2 - 2*g**4) + 6*g**5 - 16*g**5 - g**5 + (4*g + 3*g - 5*g)*(3*g**4 + 2*g**4 - 4*g**4) - 3*g**5 - 3*g + 3*g.\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**2 - 5*p + 2*p**2 + 7*p**4 + 5*p wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*d = -6*g, 5*g - d = -17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -161 in 4, 1, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4 + 3 + sqrt(720))*-2 + 2)**2*-2.\nAnswer: -6045 - 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 151 + -12?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 + (-170)\/(-30). Calculate the remainder when (16\/6)\/(y\/225) is divided by (38\/(-8) + -3)*-4.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 23760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8) + sqrt(48)\/(1*sqrt(6))) - ((sqrt(343) - (sqrt(343) + 1)) + 1*(sqrt(7) + sqrt(112))).\nAnswer: -9*sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -5. Let k be 0\/((1 + 20\/(-15))*6). Which is the closest to -2\/17? (a) -1\/4 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -729*p**3*w**2 - 9*p**3*w - 2*p**2*w + 54*p**2 - 2*w**2 wrt w.\nAnswer: -1458*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9878609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/n**(1\/6))\/((n\/(n*n**(-6\/11)))\/n*n**(-1))*n**(-2\/57)*n*n\/(n**(2\/3)*n*n)*n**(-4)*n assuming n is positive.\nAnswer: n**(-2681\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*y - 85. Suppose y*h - 59*h - 20 = 0. What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z + z)*(z - 4 + 4)*(6*z - 2*z - 2*z)*(2*z + 7 - 7).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 273 divided by 9\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 69. Let j be ((-12)\/30)\/(w\/(-40)). Which is greater: 52 or j?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56496680, -56496694, -56496724, -56496776, -56496856?\n\"Answer: -v**3 - 2*v**2 - v - 56496676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1826, 3, -178 in ascending order.\nAnswer: -1826, -178, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 112122110 (base 3) to base 13\nAnswer: 4b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s + 11*s = 74 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/u**(-3)*u)\/u))\/(u\/((u**(3\/4)\/u)\/u)))**(-36))**(-38) assuming u is positive.\nAnswer: u**(-7182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16854 - -45582. What are the prime factors of f?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2182*w + 423*w - 267190 = -865*w for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 510 - 510.00427. Round b to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 3 - 0\/(-2). Suppose 11*u - 28*u = -34. Suppose -u*l = -4*x + 326, 3*x + z*x - 237 = 3*l. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -303, -155, 91, 441, 901, 1477, 2175, 3001?\n\"Answer: r**3 + 43*r**2 + 12*r - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 367930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1414.45 rounded to the nearest 10?\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -h - 4, h = -0*b - 3*b + 8. Suppose -h*i + 9*w - 6*w = -54, -42 = -2*i - 3*w. What is the greatest common divisor of 192 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -3*x - 40. Suppose -71*j - x*y + 40 = -66*j, 4*j - 24 = -2*y. Which is the closest to 0? (a) j (b) 28\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - u + 45 = v, u = v - 9. Let q = v - 7. Differentiate -7 + 4 + 8 + 3*r**q with respect to r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**3\/5 + 9*d**2 - 3*d\/5 - 9 = 0.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 45*m**2 + 148*m - 99. Let o be k(48). What is the greatest common factor of o and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 5835*f**3 + 1693555*f**2 + 5156775*f - 6844500.\nAnswer: 5*(f - 585)**2*(f - 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 210447336 a multiple of 2596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5736, -5737, -5738, -5739, -5740, -5741?\n\"Answer: -m - 5735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 5*a**2 + 26*a + 15. Calculate k(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32\/57 - 2\/19. Let m = 1\/21 + 2\/7. Put l, m, 0 in descending order.\nAnswer: m, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Let d(k) be the first derivative of -2*k**2 + 7*k - 1544. What is -d(x) + 3*y(x)?\nAnswer: x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1204 (b) 24 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 3. Let r(x) be the second derivative of 3*x**3\/2 + 4*x**2 + 2*x. Let g(a) = -8*h(a) + 3*r(a). Let l(n) = -n**2. Give g(l(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3, -12, 1, -32 in ascending order.\nAnswer: -32, -12, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 + 9*w**2 - 9*w**2.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4551?\nAnswer: 3, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 113457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n - 86*n + 702 = 172 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2134421313 - -3?\nAnswer: -2134421310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 - 6*l**2 - 5*l - 2. Let t(a) be the third derivative of -a**6\/40 + a**5\/12 + a**4\/6 + a**3\/3 - 12*a**2. What is -5*t(z) - 4*y(z)?\nAnswer: -z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*n + 292*n + 29 + 541 + 7542 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*o + 1136 = 89*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 2:20 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55933, -111886, -167853, -223828, -279805?\n\"Answer: c**3 - 13*c**2 - 55921*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 12:53 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 4:04 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**7\/2520 + a**6\/80 + 11*a**5\/120 - 11*a**4\/24 + 16*a**2. Let u(s) be the second derivative of f(s). Give u(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2542, -5039, -7538, -10039?\nAnswer: -12542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(sqrt(125) - -3*(sqrt(125) + (sqrt(125) - (sqrt(125) + 1)))))**2*-3.\nAnswer: -150300 + 6000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**5 + 450*h**4 - 2330*h**3 + 4240*h**2 - 3315*h + 950 = 0?\nAnswer: -95, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 18*s - 10. Let r be p(6). Let k(z) = -9*z - 90. Let l be k(r). Let c = -3 - -7. Solve 3*a = -l*a - c*b + 17, -3*a - b = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.38187 litres to millilitres.\nAnswer: 74381.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 10) in base 4?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/7)*h)**(-1\/2)*(h\/(h\/(h*h**(-1\/4)*h)))**22 assuming h is positive.\nAnswer: h**(527\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**3 + 5*k. Let v(h) = -5*h**3 - 4*h. Suppose -7*o + 6*o = 4. Let s(a) = -3*a**3 - 24*a**2 + 2*a + 11. Let c be s(-8). What is c*v(y) + o*i(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60024 and 32.\nAnswer: 240096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39107272 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 2\/55, 5, -5, -2?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*z + 177*z = 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 82. Let j be ((-9)\/24)\/(o\/(-2) - -4). Let i = 34.8 - 35. Which is the third biggest value? (a) -16\/9 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14302 - -286103\/20. Calculate the common denominator of -89\/195 and p.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.64 and 0.1564.\nAnswer: -0.4836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 44\/126 + 10\/45\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 16 = 2*l. Let b(y) = y**4 + 5*y**2 + 14*y + 71. Let v(c) = 2*c**2 + 6*c + 36. Let i(q) = l*b(q) - 5*v(q). Find the first derivative of i(f) wrt f.\nAnswer: 8*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -882268.2192 to the nearest 100.\nAnswer: -882300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84710 is divided by 4433?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 21, -12434 in decreasing order.\nAnswer: 21, 5, -6, -12434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/(-9))\/12)\/((2\/132)\/((-3)\/6))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/6 - 2*g**3\/3 - 5*g. Let p(r) = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/53561, -1\/277, 1 in decreasing order.\nAnswer: 1, 2\/53561, -1\/277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.38 + -0.08. Let h = -7 + c. Let k = 1.5 + h. What is the nearest to k in 1, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9573 - -9673. What is the highest common divisor of 2420 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - g + 1. Let d be h(1). Suppose d*i - 3*i = 0. Suppose -n - 3*n = i. Round n to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/48)\/(((-14)\/(-189))\/2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.17 - -0.17. Let t = 0.38 - 0.67. Let k = -0.22 - t. Which is the closest to 0? (a) k (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 75 = 2*k, -5*a + 2*k - 548086 + 548051 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2478 and 181\/44250.\nAnswer: 309750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4, 13*v + 13 = 5*t + 10*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5106 and 2886?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 11800 and 11801 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:54 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2 + 2*d. Let o be u(-1). Suppose 12 = -0*w + 3*w. Let y be (-2)\/1*(-6)\/w. Which is bigger: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 + 16*q + 21. Let w(b) = 230 + 20*b - 70*b**2 + 209*b + 15*b**2 - 54*b. Let u(p) = 4*w(p) - 45*y(p). Determine h, given that u(h) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r - 2. Let w(u) = 2*u**2 - u + 2. Let y be w(1). Suppose 5*d + 4*v + 5 = 3*v, d = y*v - 17. What is p(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c + 7. Let q(u) be the third derivative of 1\/3*u**4 + 20*u**2 + 0*u + 0 - 4\/3*u**3. Calculate 6*m(g) + 5*q(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3\/5, 2, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -335 - -334.5. Which is the closest to -0.1? (a) 0.4 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 2165718*v - 10828640.\nAnswer: 2*(v - 1082864)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (2 + -4)) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 4*h**2 + 27*h - 27*h - 4*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20942, -78621, -173024, -304145, -471978, -676517?\n\"Answer: l**3 - 18368*l**2 - 2582*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2 - 125244*j + 1307171628 = 0.\nAnswer: 20874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-8559.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, 83, 206, 369?\n\"Answer: 20*d**2 + 23*d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*w = 70, 7*h - 2*h - w + 46 = 0. Let l = h - -5. Sort 2, -2, l.\nAnswer: l, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 19 + 125 = 0. Suppose 3*k + 13 - z = 0. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1508 * 0.08.\nAnswer: 120.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 + -33. Let x = t - -29.09. Round x to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 5 = 25*n. What is the nearest to -0.1 in n, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-6))\/((-51)\/(-1023502)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -877564 equal to -877564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71993, -71963, -71933, -71903, -71873, -71843?\nAnswer: -71813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2573 or 109893?\nAnswer: -2573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 350843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1. Let y(x) = -9*x. Let u(j) = -3*v(j) + y(j). Determine u(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Suppose -h - b*i = 11, -6*i + i - 20 = 0. Which is smaller: h or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 148, 151, 152, 151, 148, 143?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*x = -9*j + 35, -4*x + 14 = 2*j. Let a be j\/((-7)\/3)*1 - -23. Solve -r - 2 = -3*r, 3*i - 5*r = -a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001 - -2?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.856 - -0.726. Let u = -8 - -8.13. Let p = i + u. Which is the third biggest value? (a) p (b) 1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**3 + 2*k. Let a(p) be the second derivative of -p**5\/10 + p**3\/2 - 209*p. Give -4*a(h) + 6*c(h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z. Let n be t(6). Suppose h - n = -2*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292.000000346 - 292. What is y rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*-3*(sqrt(1200) + -2*sqrt(1200)))\/(sqrt(54) + sqrt(648)\/(2*sqrt(12)) + -1*-1*sqrt(54) + sqrt(54)).\nAnswer: -80*sqrt(2)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2 - 3. Let x(s) = -11*s. Give x(l(y)).\nAnswer: -66*y**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -108*u**2. Let r(y) = -19*y + 12071. Calculate r(q(p)).\nAnswer: 2052*p**2 + 12071","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-1) - (-319)\/(-77))\/((-9)\/42).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -16*t**3 + t**2 + 2*t. Let m(k) = -86*k**3 + 6*k**2 + 10*k + 1. Give 3*m(l) - 16*v(l).\nAnswer: -2*l**3 + 2*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*o**5 - o**3 - 10*o**5 - 15*o**5 + 4*o**3 - 102*o wrt o.\nAnswer: -1120*o**3 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47094*c**3*g**2*j**2 + 2*c**3*j**2 - 4*c**3 + 7*c**2*j**2 + 4*c**2 - c*g*j**2 wrt g?\nAnswer: 94188*c**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2\/17 + 860*g\/17 + 92450\/17 = 0.\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 - w. Let p be k(-1). Which is smaller: p or -5\/18?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 3:56 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14781, 14794, 14811, 14832, 14857, 14886, 14919?\n\"Answer: 2*o**2 + 7*o + 14772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -709*d**2 + 1974*d**2 - 699*d**2 - 3 - 700*d**2 to p + g*d + n*d**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 15 = -2*z + 13, -5*w - 16 = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -673566*d + 1. Let o(n) = -21*n. Give o(v(u)).\nAnswer: 14144886*u - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 28*r - 1\/24*r**5 + 0*r**3 + 0*r**2 + 0 - 3\/2*r**4 + 1\/720*r**6. Let f(x) be the third derivative of w(x). Calculate f(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8412744 is divided by 1254.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*c. Let s(k) = k**2 + 15. Let v be s(c). Suppose 3*z - g - 242 = -z, z - 70 = 5*g. What is the highest common divisor of v and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 18. Let k be c(-20). Suppose -3*t - 6 = -k*l, -10*t = 2*l - 7*t + 18. Let g(b) = b + 2. Let n be g(-6). Which is bigger: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14050\/843)\/((-45)\/6)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1188 times -65.816\nAnswer: -78189.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 8*d**2 - 3*d - 1. What is the units digit of g(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 21*q + 36 = 0. What is the remainder when 12 - (1 - (1 + 0)) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.596 times 20?\nAnswer: -111.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8578453*k**4 - k**3 + 415435*k**2 - k - 3?\nAnswer: 205882872*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + u + u)*(-8 - 16 + 23)*(u**3 + 0*u**3 + u**3) + (0 + 0 - 3*u**3)*(u + u + 0*u) to o*u**2 + p*u + b + g*u**4 + v*u**3 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 18 - 9 - 10. Let z(w) = 2*w - 1. What is -g(b) + z(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 75*d**2 - 3*d - 217. Let f be o(-75). Suppose 0 = -2*j + 5*t - 3*t + 16, 3*j = t + 34. Which is greater: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -15, -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14314*p - 60 = 14294*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 24650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 22. Let p be b(-5). Solve 7*z = p*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 124*z**2 + 133*z + 41627. Calculate o(120).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 6*h + 4*h + 14 = 0, 3*h = -w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjyiqqjqpqspqp. What is prob of picking 1 i and 1 j?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 4*l + 137. Let o = 129 + l. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.5 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -3 + (-8 + 7 - (3 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 7. Suppose 24 = -m - 0*q - 4*q, -5*q = -4*m - 12. What is a(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56910.4 and 4?\nAnswer: -227641.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**21\/g**(-42)*g\/(g*g\/g**(3\/40))*(g*g**(-2\/9))\/g*g*g)**(2\/83) assuming g is positive.\nAnswer: g**(22987\/14940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2\/4)*20. Let b = w + 38. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (204\/8)\/(-17) - (-11)\/6. Which is the smallest value? (a) -44\/5 (b) t (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26\/6*6\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (0 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 39*v**4 + v - 2. Let k(u) = 196*u**4 + 4*u - 11. Let x(z) = 2*k(z) - 11*q(z). Find the second derivative of x(n) wrt n.\nAnswer: -444*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.8 - -8.2. Put -5, r, 3\/8 in ascending order.\nAnswer: -5, 3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4581 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - 39*q - 4*b = -48, 0 = q - 2*b + 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31172 + -0.3094869. What is w rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1948919?\nAnswer: 7, 139, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let k(a) = -105*a**2 - 87*a**2 + 39*a**2. Give j(k(n)).\nAnswer: -153*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 5*o - 1. Let h be r(4). Let g(a) be the first derivative of -h*a**2 + 2*a**2 + 2*a**2 - 1. Let n(f) = f**2. Calculate n(g(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*w + 3)*(-w - 2*w + w) + 3*w - 13*w**2 + 17*w**2 - 9*w**2.\nAnswer: -9*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 = 2*m, -4*a = -5*m - 3580 + 3652. Solve -14 = -3*h + 8*l - 3*l, -4*h + 5*l + m = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -33. Which is the third smallest value? (a) x (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -476*r**4 - 123*r**3 + 34*r - 1239 wrt r?\nAnswer: -5712*r**2 - 738*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126570 is divided by 400.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199274455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/4 + 4377*m**2 = 0.\nAnswer: 0, 5836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000 - -100101000001110?\nAnswer: 100100111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 12*u - 76 - 205 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mkkmkkkkkmkkkmmk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*v. Let z = 5 + 0. Suppose -z*m + m + 64 = v. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 5. What is the first derivative of 0 + q*v - 17 - 9*v wrt v?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207 (base 12) to base 9\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1722730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 217 or -0.1?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 55*r**2 - 166*r - 412. Give i(58).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + a**4 - 3*a**4)*(-a - 2*a + 2*a) + 0*a**5 + 0*a**5 + 2*a**5 + (67 + 6*a**4 - 67)*(3*a - a - a).\nAnswer: 11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + (-2 + sqrt(448)*-2 - sqrt(448)) + sqrt(448) + 1)**2)*-5.\nAnswer: -9045 + 640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o - 6. Let h(j) = 8*j + 9. Let d(s) = -5*h(s) - 7*p(s). Let z(c) = 2*c - 2. Let l be z(-3). Let m be (2\/4)\/(2\/l). Determine d(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/25))\/(b\/b**(-6))*(b\/b**(-8\/7))\/(b\/(b*b\/(b*b*b\/(b*b**(-35)*b)))) assuming b is positive.\nAnswer: b**(-6821\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 12:36 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/4 + 4*p**3\/3 - p**2 - 4*p - 5. Give j(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111102100 (base 3) to base 2.\nAnswer: 10011000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 10 - 2*v + 62 - 34 - 23.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4609 + 4596. Put o, 0, -2, -58 in descending order.\nAnswer: 0, -2, o, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*h - 77 = -375, 0 = v - 4*h - 182. What is the remainder when v is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -10, -132, -96 in decreasing order.\nAnswer: -10, -16, -96, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27, -1\/160, -3\/4, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 5*b - 7. Let z be k(-5). Let u(v) = -v**3 - 7*v**2 - 7*v - 17. What are the prime factors of u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 - 2 + 2)*(-116*k**2 - 63*k**2 - 109*k**2) as m*k**3 + t*k**4 + o*k + x*k**2 + w and give t.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 37. Which is smaller: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -45. What is the nearest to 0 in m, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15\/526 + -601\/2630. Put b, 17, 54, 2 in descending order.\nAnswer: 54, 17, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 53.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/9)\/r)\/r**(2\/9)*r\/(r\/(r*(r\/(r\/r**6*r))\/r))*r*r**(-4\/9) assuming r is positive.\nAnswer: r**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(187) + sqrt(187) + sqrt(187))\/sqrt(11).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f - f)*(2*f + 173*f**4 - 1 - 383*f**4 + 171*f**4).\nAnswer: 78*f**5 - 4*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-45))\/(20\/200*35)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -37. Let i(t) = -3*t - 1. Let n be i(m). Suppose -2*x - 4*r - 43 = -17, -n*x - 33 = 2*r. Is x greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/35)\/((23\/10)\/(-23))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 + b - 1. Let a = 4 - 2. Let q(f) = -f + a*f**2 - 3*f**2 + 0*f + 0*f**2. Give q(r) + x(r).\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/(-189) - (-4)\/(-14). Solve -12 = -3*k - o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-330)*-2)\/((-14)\/1365*5).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Suppose 0 = 4*y - w*y - 6. What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/(y\/((y*(y\/y**(-1))\/y*y)\/y))))**(19\/5))**15)**(-15) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ffffddfd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 10*m - 9. Let f be p(8). Let w = -21 + f. Suppose 12*s - 243 = -15*s. What is the greatest common divisor of s and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 317016559*y**3 - 216529017?\nAnswer: 951049677*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51173 by -8.\nAnswer: -51173\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 - -3) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*k + 3*k = 9, -5*k = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 6) + (65 - (-24 - -66) - 93).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1918056107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7695*v**2 - 3919 + 2283*v**3 + 7698*v**2 - 15394*v**2 + 356 wrt v?\nAnswer: 6849*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -16*p + 3906. Suppose -a = -l - 217, 2*a + 2*l - p = -l. Does 31 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 16*b + 420 = -8*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/228225 and 55\/111?\nAnswer: 8444325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3577.823mm to kilometers.\nAnswer: 0.003577823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + (3 - 4))*-1 - 4. Solve 2*b = 9 - x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 = -12. Let t be 7 + 4*(0 + x). What is the third derivative of -o**t + o + o**2 - 7*o**2 - o wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -3 - (-1)\/4*-146. Let s = 34 + t. Is s > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266*d**5 - 7*d**4 - 27867*d**2 wrt d.\nAnswer: -15960*d**2 - 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 5*o - 2 - 54*o**2 + 0.\nAnswer: -54*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 3*f - 377 + 364 + (-4 - 1 - 1)*(0*f + 3*f - 5*f).\nAnswer: 11*f - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 - 8*t + 8*t - 31*t**2.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44764, -89517, -134270, -179023, -223776, -268529?\n\"Answer: -44753*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8*1 - 0\/5 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 - -95. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*13)\/((-324)\/81)*2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 210*q**3 + 2585*q**2 - 7980*q + 7220.\nAnswer: 5*(q - 19)**2*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -76419*x**2 + 38934*x**2 + 38436*x**2. Let d(y) = 7*y**2. What is r(d(s))?\nAnswer: 46599*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 2 + 0*p)*(168*p**3 + 158*p**2 - 160*p**2 + 30*p**3).\nAnswer: -198*p**4 + 398*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, w: 2}. What is prob of picking 1 w and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -226654172228 take away 47?\nAnswer: -226654172275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {l: 1, v: 1, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**5 + r**4 + r**2 + r - 1. Let a(p) = -1592*p**5 - p**4 - 34*p + 1. Let g(z) = -a(z) - k(z). Find the third derivative of g(n) wrt n.\nAnswer: 95640*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 43*r**2 - 2*r + 0*r + 2*r - 39*r**2.\nAnswer: 4*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 31 = 13*v. Let n(l) = 13*l - 2. Let t be n(v). What is t rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**6\/12 + 17*b**5\/2 - 533*b**4\/4 + 2636*b**3\/3 - 2872*b**2 + 4544*b - 6883. Determine o, given that u(o) = 0.\nAnswer: 2, 4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355 equal to 5355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*l - 11 = 0, -5 = 2*i - 4*i - 5*l. What is the closest to 2 in -2\/3, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/20 + 5*d**4\/12 + d**3\/6 - 3*d**2\/2 + d. Let o be x(5). Suppose o*c - 2 = 8. Solve -c + 0 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2776)\/3680 - (-21)\/28. Let u = 917\/690 - g. Determine y so that u*y + 4 - 20\/9*y**2 + 4\/9*y**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6862*d + 24 + 10*d**2 - 6 - 6862*d. Is 27 a factor of p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 (base 10) in base 4?\nAnswer: 12032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = 0, -3*h = 3*d + 3 + 3. What is the units digit of (-140)\/(-21) - 2\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10206 and 11023.\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 58358 and 110 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/5))\/k)**1\/(k**(-6)*(k\/((k*k**(-17))\/k*k))\/k) assuming k is positive.\nAnswer: k**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j + 9. Let c(k) = 11*k - 18. Suppose -3*w - 11 = 2*t, -5*t + 0*w + 18 = w. Give t*p(r) + 2*c(r).\nAnswer: -3*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5272699687 to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106564.\nAnswer: 2, 17, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 2*c + 2. Let a(i) = -2*i**2 + 5*i - 4. Let y = -6 - -4. Suppose 15 = -12*f + 9*f. Give f*m(r) + y*a(r).\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 100267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**8\/6720 + h**7\/630 - h**6\/144 - h**5\/120 - 11*h**4\/24 - 4*h**2. Let b(c) be the second derivative of l(c). Give b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5823 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931 is divided by 2\/11 - 395676\/(-2871).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2728 - 0.7272. Which is smaller: 4\/59 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3 = -282.385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73*m**3\/2 - 3*m**2 + 146*m + 12.\nAnswer: -(m - 2)*(m + 2)*(73*m + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 19*f**5\/30 - 5*f**4\/8 - 19*f**3\/6 + 32*f. Let v(b) be the second derivative of i(b). What are the prime factors of v(2)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9042\/7 in 0, -1\/7, 0.03, 0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 14*b**2 - 33*b + 19. Let a = 17 + -1. Let f be d(a). Let t be (-140409)\/(-12) + f\/(-4). What is t rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -44 + r**2 - 2*r**3 + r**3 - 4*r + 17*r**2 + 8*r. What is the units digit of m(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 + 713. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**5 + b**4 + b**3 - b**2 - b - 1. Let l(g) = -5*g**5 + 16*g**4 - 43*g**3 + 48*g**2 + 44*g - 68. Let s(r) = -l(r) + 4*m(r). What is w in s(w) = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 263809*g**3*k**2 + g**3 - g**2 - 7*g*k**2 - 14*g - 72 with respect to k.\nAnswer: 527618*g**3*k - 14*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1113*j**3.\nAnswer: 1113*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 198\/11 - 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -14*x - 485. Calculate q(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 divided by -20?\nAnswer: 451\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r. Let c be m(15). Let g = c + 249. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**4 + 1933*y**3 + 18*y**2 - y + 7.\nAnswer: -72*y + 11598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -130324402?\nAnswer: 130324400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503411 is divided by 100680?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -2\/7 (c) -5 (d) -20.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*h + 130. Let m be (-3 + 156\/72)*-174. Let f = m - h. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 28 - 98 = -8*i. Solve 0 = -74*l + i*l + 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -109*j. Let h(w) be the first derivative of -w**5\/60 + 17*w**2 - 42. Let d(t) be the second derivative of h(t). Determine d(u(r)).\nAnswer: -11881*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.046918 + 2234.053082. What is o rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29, -0.0117, 75, 0.1, 3?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.83 + 8.43. Put 1\/2, f, -6\/17 in decreasing order.\nAnswer: 1\/2, -6\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6, -2*o - 3*o - 5*g + 10 = 0. Does 14 divide 161 - (-1 + o)*(3 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4493\/4 + 1117. Let k = -13\/2 - w. Let q = 7 + -15\/2. Are q and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 97 = f, 3*y - 6*f + f = -267. Let q = -134 - y. Let k be q*((-1)\/(-3))\/((-40)\/(-1020)). What is k rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t = -45*t + 19. Suppose -3*n = -71 - t. Solve p - 34 = -n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(33) + sqrt(33))\/sqrt(11) - sqrt(3)) + 1)*-2.\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0 + 49*c - 1\/20*c**5 - 9\/2*c**3 - 4\/3*c**4 + 0*c**2. What is the second derivative of z(p) wrt p?\nAnswer: -6*p - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -627533636 by -4.\nAnswer: 156883409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2287*n**3 + 250 - 20*n + n**2 - 2289*n**3 + 127 to the form w*n**3 + d + x*n + b*n**2 and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - -6) + (62 - 58).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = -3*m, 4*l - 6*l = -2*m - 2. Let r(k) = m*k + 0*k + 0*k + k + 8. Let s be ((-5 - -2)\/(-6))\/(3\/(-36)). What is r(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 6*(-1)\/(-2) + 596. Let h = -591 + x. Solve -f = 5*l - 11, h*f + 2*l + 28 = 6*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(8)\/sqrt(4) + -2 + sqrt(2) + (-2 + sqrt(2) + 0 + sqrt(2) - sqrt(2))))**2.\nAnswer: -600*sqrt(2) + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 878\/(-6) + 2 - (-2)\/6. Let n = 1582\/11 + a. Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1440 - 1427.42. Let w = g - 12.579998786. What is w rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 55 = -0*q. Let j(o) = -3*o**2 - 100*o + 75. Let y be j(-34). Suppose y*s + 36 = q*s. Solve 4*r - s = 3*f, f = 3 - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62271726 to the nearest integer?\nAnswer: 7891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*n\/(n**9\/n))\/(n\/n**(-6)*n\/n**(-1\/6)))\/(((n*n**(-1\/3))\/n)**(5\/2)*n**8\/n**(1\/11)) assuming n is positive.\nAnswer: n**(-602\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*f**3 + 70*f**3 - 31*f**3.\nAnswer: 152*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (0 + (1 - -10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7922 a factor of 87070702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.012463519 - 0.012522. Round s to 6 dps.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*h - 226 = 0, 0 = -5*g - 6*h + h + 290. Let j = g - 53. Let o(b) = b**3 + b + 3*b**3 + b + j - 5*b**3. Calculate o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 9*s + 7. Let y(l) = -l**2 - 9*l - 42. Let r(u) = u**2 - u - 35. Let j(i) = -r(i) + y(i). Calculate -7*j(k) - 6*o(k).\nAnswer: 2*k**2 + 2*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/(12\/16). Suppose -t - 146 = -145. Sort t, l, 4 in increasing order.\nAnswer: t, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 divided by -1?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -15, -142?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-18)\/7) + (-72)\/126. Factor 2\/5*f**2 + 4\/5*f**3 + 0*f + 0 + 2\/5*f**l.\nAnswer: 2*f**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*v = 133*v + 24 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -97\/3. Which is the smallest value? (a) -2 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18b49bc + 6?\nAnswer: -18b49b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 3*r + 14. Let h be j(-5). Suppose s = 4*t - 1675, -3*t = -h*s + 2*s - 1250. What are the prime factors of t?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -38*m**2 + 6*m - 17. Let u(k) = k**2 + 2*k - 1. Let x(a) = g(a) - 3*u(a). What is the first derivative of x(c) wrt c?\nAnswer: -82*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u**2 - 1. Let w(d) = d**3 - 6*d**2 + 4*d + 21. Let v be w(5). Let n be (-18 + v)*(-1)\/(-4)*2. Determine t(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -11 (c) 12\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252053255 + 252053225.0000053. Let k = -29.983 + -0.017. Let p = k - i. Round p to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6022253 (base 7) to base 11\nAnswer: -446635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2080766990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + j - 169, 49*j + 390 = 5*i + 45*j. Solve -10*p + 32 = i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 = 10*h + 201 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 1 (c) -5 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -307 + 465. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 432352152?\nAnswer: -432352153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -173*a - 3345. Determine y(-11).\nAnswer: -1442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297059 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/280 + s**5\/15 - 2*s**3 + 6*s**2. Let x(w) be the first derivative of o(w). Find the second derivative of x(y) wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 7*f**2 + 16*f - 57. Let j be i(6). Calculate the common denominator of -57\/44 and (j\/48)\/((-111)\/(-74)).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.6? (a) -1\/3 (b) -2\/25 (c) 0 (d) 1\/4 (e) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131778 is divided by 16341?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1231 + 1255. Calculate the greatest common divisor of 276 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-2)\/2) + 0. Let w be 9\/t - 1\/(-1). Suppose 473*o - 22*o + 320*o = 2313. Sort o, w, 20 in decreasing order.\nAnswer: 20, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p**2 + 131*p - 131*p)*(-5 + 3 - 4)*(72 + 55*p**2 - 72).\nAnswer: -4290*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*v + 44, 226*o - 224*o + 3*v - 24 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 c when three letters picked without replacement from {c: 13, o: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b. Let o(k) be the third derivative of k**6\/720 - k**4\/8 - k**2. Let l(f) be the second derivative of o(f). Calculate i(l(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*v**2 - 11073 + 11073 + 45*v - v**3 + 2*v.\nAnswer: -v*(v - 47)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 1925?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (8 - (5 + (-71 - 19))).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45345171 rounded to 3 dps?\nAnswer: 0.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 3*u**2 + 2. Let b be (12\/30)\/(2\/(-10)). Let v be a(b). Let g = 4 - v. 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: Sort -2, 0.07, -48\/25, 0.2, -0.5 in increasing order.\nAnswer: -2, -48\/25, -0.5, 0.07, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1) - (-1)\/((-6)\/(-294)). Let i = 8 - 5. Suppose -i*b = -b - a. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1348210 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*k**4 - 869*k**3 - 2*k**2 + 2*k + 17351042.\nAnswer: 64*k**3 - 2607*k**2 - 4*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 2:27 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 6*b - 11. Let s be r(-7). Suppose 0*v + 2*v - 12 = 0. Let q = s + v. What is the smallest value in q, 0.2, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4268 - 3025. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + o)*(4*o - o**2 - 4*o) + 14*o**2 - 28*o - 313704*o**3 + 6 - 5*o + 313705*o**3.\nAnswer: 2*o**3 + 14*o**2 - 33*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4849801l to millilitres.\nAnswer: 484.9801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 7*x**2\/2 + 6*x - 266. Let o = 8 + -5. Let u(h) = -o*h + h + h - 2*h - 3. What is -4*q(z) - 9*u(z)?\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 + 68. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75)\/(-7) - (-12)\/42. Suppose 30 = 5*y - 2*a, -4*y + 0*y + l = a. Solve y*b - 6*b + 2*c - 16 = 0, 0 = c - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122614 or -122552?\nAnswer: -122614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 11. Let j(x) = 2*x - 3. Let r(t) = -5*t + 7. Let o(z) = v*r(z) + 14*j(z). Let m(u) be the second derivative of u**3\/3 - 23*u. Give m(o(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnyny. What is prob of picking 1 l and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11040895 and 462177?\nAnswer: 99368055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 23*u + 6 = 0. Solve -2 + 11 = u*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 101*a + 946. Give g(11).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -85884\/109 >= -787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4369430 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 402 - 243 + 3*h**3 - 159)*(-3 + 3 - h**2).\nAnswer: -3*h**5 + 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21653*v**4 - 36789*v**4 + 19403*v**4)*(-1 + 5 + 0)*(1 + 1 - 3) to y*v + j*v**4 + q*v**3 + a*v**2 + b and give j.\nAnswer: -17068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -89, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-4.111\nAnswer: 1.2333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635003747.\nAnswer: 3, 13, 17, 67, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3425, -13709, -30849, -54845, -85697, -123405, -167969?\nAnswer: -219389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 - 2*o - 5*o - 5*o + 10*o**3 + 3*o wrt o.\nAnswer: 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21916886*u**5 + 2*u**4 + 23747950*u**2 + 2 wrt u?\nAnswer: 1315013160*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 3*c**2 + 0*c**2 + (4*c - c - 5*c)*(0*c + 4*c - c) + (0*c - 4*c + 2*c)*(5*c - 3*c - 3*c))*(4 + 2 - 3)*(-2 - 1 + 2).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0 - sqrt(117)) + (sqrt(325) - (-1 + sqrt(325)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646555?\nAnswer: 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlqqheyymelmylhqlq. What is prob of picking 1 e, 1 l, 1 h, and 1 y?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 5*l - 85 + 100, -2*h - l = 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3097421?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 587300 and 420?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -5, 0, 7, 16, 27, 40?\n\"Answer: g**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 13*y - 12*y - 1851, -2*z - 1791 = -y. Calculate the greatest common factor of y and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 202 - -5?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15524*d**2 - 5177*d**2 + 2 - 5174*d**2 + 52*d**3 - 5173*d**2.\nAnswer: 52*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54564262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 8*h + 12. Suppose -7*g + 2*g + 2*l - 75 = 0, -4*g + 4*l = 60. Let p = -6 - g. Let b be v(p). Solve 3*i - b + 6 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16050 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438767 is divided by 325.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2802 + -8787.484113?\nAnswer: -8787.764313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 2}. Give prob of sequence zez.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j - 44130 + 44130.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n. Let y(b) be the first derivative of -b**4\/3 + 3*b**2 - 3. Let w(m) be the second derivative of y(m). Determine p(w(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 30 = -b. Let n(r) be the second derivative of -r**3\/3 + 11*r**2\/2 + 4*r. Is 11 a factor of n(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.655544 and -0.29.\nAnswer: -0.19010776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(60))\/sqrt(3)*-5)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from galuwuk. Give prob of sequence uu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 550910.\nAnswer: 1652730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4185 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24873*v - 12441*v - 12439*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k**3 + k**2 - 3*k + 4. What is the remainder when p(2) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46774177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:49 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -101*d + 545. Determine k(4).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z - 54 - 228 = 0. Solve -20*u + 22*u - z = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 17090?\nAnswer: -1708a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 8, 2*q + 0*q = 5*g + 26. Let u = 4356\/5 - 871. Which is the closest to -1? (a) u (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 + 0 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14663 + 14530. Is -131 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.598029 kilograms in grams?\nAnswer: 8598.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-51*1)\/(-1)*-1)\/(-1). Let c = -35 + r. What is the remainder when c is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -1\/4, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*s + a, 5*a = 4*s - 41 - 93. Let u(b) = -b - 2*b - 4*b + 3*b**2 + s*b**3 + 4 + 78*b**3. Let v be u(4). What is v rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 8 + 4. Suppose 9 = 3*x + i. Let m be (1\/x)\/((-1)\/10). Which is the closest to 0.1? (a) m (b) -2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x - 602*x + 7633 = 100*x - 6164 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 10*o**2 + 21*o + 27. What is the lowest common multiple of d(-7) and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*o - 1\/3*o**2 - 1\/3*o**3 + 1\/3 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 11, c: 5}. Give prob of picking 2 k.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -297, -980, -2281, -4398, -7529?\nAnswer: -11872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*m**3 - 2*m**2 + 5277*m + 367940 with respect to m.\nAnswer: -60*m**2 - 4*m + 5277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 412297450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1980, 2452, 2924, 3396, 3868, 4340?\nAnswer: 4812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 420, 629?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, f: 3, a: 2, q: 2}. What is prob of picking 1 a, 2 f, and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 7. Calculate g(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-17976)\/(-180))\/(-14) - -7)*(1 + -11).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129526*n**3 + 129436*n**3 - 319*n**2 + 321*n**2.\nAnswer: -90*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 630.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.204045 to 4 decimal places.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -17*u**8\/168 - 191*u**5\/15 - u**3\/6 - 2*u**2 + 735. Find the third derivative of d(q) wrt q.\nAnswer: -2040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-18))\/((-1)\/6). Suppose 0 = -2*n - 13 + i. Which is greater: -4 or n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + b + (65 + 32 + 37)*(2 + 2*b - 2).\nAnswer: 269*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-84)\/(-18) + -3 + (-89)\/3. Let j be (0 + 13)*(l\/7)\/4. Which is smaller: -15 or j?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j - 7. Let k be (0 + 10)\/((-3)\/(-1) - 5). Let z(m) = 3*m - 8. Let r(i) = k*y(i) + 4*z(i). Determine r(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 66 = -34. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 16.7. Let x be (0\/2)\/(0 - 1). Let g = -4 + x. What is the third smallest value in l, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 6*k - 3*k + (5 - 4 - 3)*(2*k - 1 + 1))*(3 + 0 - 2)*(-3 + 3 + 1) to the form p*k + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 - (-348)\/9. Let z = 76 - d. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 760593984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41500 by -830.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47565.\nAnswer: 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-1)\/((-3)\/4802). Let g = p - 1584. What is the common denominator of g and 14\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*t - 2*b, -5*t + 59 = -0*t + b. What is the remainder when 15 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -1\/6 (c) -2.4 (d) 4 (e) -11 (f) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 14*a**2 - 9*a + 68. What is the remainder when c(13) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*l*m**2*y - 37*l*m**2 + 7*l*y - 1015*m**2*y - 2*m*y + 2*m + 7*y wrt l?\nAnswer: -4*m**2*y - 37*m**2 + 7*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2*4*3 - ((sqrt(190) - 2*sqrt(190))*-1 - sqrt(190))\/(sqrt(10) + -1*sqrt(10)*-1))**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -288 in -2\/7, 3, -1\/4, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/(-12))\/((-12)\/(-72) - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 15*n + 7. Let o(q) = 3*q**3 - 2*q - 1. Let y be o(2). Let h = y + -11. Is b(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(135)\/sqrt(3) - (sqrt(5) + ((sqrt(20) + sqrt(5))*-3 - sqrt(5)))**2) + sqrt(50)\/(sqrt(20)\/sqrt(2)) + -3 + -4.\nAnswer: -414 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*k - 6, -q - 5 - 3 = 4*k. Let o = -33 + 9.9. Let v = o + 23. Which is the nearest to 0.2? (a) 1\/3 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t. Let i(l) = -l**3 - 2*l**2 - 2*l - 1. Let z be i(-3). Let a(f) = 2*f. Determine z*a(h) - 6*j(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwnhpbs. What is prob of sequence bh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k**2 + 5*k + 3. What is q(3)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b + 34*b - 22*b = 99 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 56159 times 0.17\nAnswer: 9547.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111550 is divided by 111148.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*m = -33 + 10, -19 = -v - 4*m. Is v <= 32.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201032130 divided by 40206426\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 4. Let c be k(7). Solve c = -r + 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 9:34 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 + -1 - (-2 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 1478 = m + 19*q + 1348, 4*m = 3*q + 225 for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*g + 906 = -46 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2430918 and 826?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**3 + 2*v**2 - 11*v - 15 - 9*v**3 + 3*v**3 + 3*v**3. Let m be -22*4*1\/8. Let p(a) = -2*a**3 - a**2 + 6*a + 8. What is m*p(y) - 6*t(y)?\nAnswer: 4*y**3 - y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62492495091\/95227330 + 67\/865703. Let j = 3316\/5 - z. Let h = -959\/198 + j. Calculate the common denominator of 64\/9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7653?\nAnswer: 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3287, -12277, -27223, -48131, -75007, -107857?\nAnswer: -146687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82130722, 82130720, 82130718, 82130716, 82130714?\nAnswer: 82130712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*y + 0*y = 18, 5*s + 5*y = -15. Suppose -3*u - g = -21, -4*u + 5*g - 3*g = -18. Let z be s\/((-3)\/u) - -2. Is z < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-104))\/(717\/(-1912)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -199 (b) 2.7 (c) -0.268 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 118680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/45327858 and 109\/45327858.\nAnswer: 45327858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}