{"text":"Question: Calculate (1 + -2 - 8) + (152 - -2) + -148.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(4*(sqrt(77) - sqrt(77)*1) - sqrt(77))*1)\/(sqrt(84)\/(sqrt(12)*-2) - sqrt(7)*2*3))**2.\nAnswer: 44\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most as big as -1\/40721320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2638 + -2638. Which is the nearest to v? (a) -4\/7 (b) -1 (c) 3 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(19) - (sqrt(38) + sqrt(38)*1 + sqrt(38) + sqrt(38))\/sqrt(2)))**2.\nAnswer: -12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 2\/7 (c) 47399499\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(320)\/(sqrt(72)\/sqrt(9)) - sqrt(40))\/(sqrt(88)\/(sqrt(77)\/sqrt(7) + sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14 + 31. Let m be s\/3 - 2\/(-6). Suppose -4*z + 37 = -83. Calculate the greatest common divisor of m and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*t + 0*t - 5*t - 3*t - 3*t + 5*t - t + 0*t + 2*t + (2*t + 1 - 1)*(6 - 2 - 3) + (24*t - 45*t + 50*t)*(0 + 2 - 1).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -290a0 (base 11) to base 2\nAnswer: -1010000110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -280407, -280307, -280207, -280107?\nAnswer: -280007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in 0.5, 2, 0, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r. Let v(m) = 2*m**3 - 29*m**2 + 14*m + 1. Let b be v(14). Let z(w) = 4*w - 1. Let o(c) = b*z(c) + 5*p(c). Calculate o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (72\/(-192))\/(9\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/1 + -2)\/((-134 - 88)\/5106).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -22*h**2 - 12*h + 4*h + 4 + 10*h**3 + 12*h + 16*h. Let v(c) = c**2 + 2*c + 1. Let z(u) = -t(u) + 4*v(u). Find j such that z(j) = 0.\nAnswer: 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2173 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 40*g**5 + 2*g**4 - 61672*g**3 + 46659190*g wrt g.\nAnswer: 800*g**3 + 24*g**2 - 370032*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -270, -548, -826, -1104, -1382, -1660?\n\"Answer: -278*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 406*d - 18 with respect to d.\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (8\/(-6))\/(-1)*(-48)\/(-32)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, 3, -4, -5, -530 in decreasing order.\nAnswer: 5, 3, -1, -4, -5, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1460 - 926. Calculate the remainder when w is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2933 is divided by 370?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 302 + -132132430?\nAnswer: -132132124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -2.5606115 rounded to three decimal places?\nAnswer: -2.561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/21695 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 129.72217 rounded to 1 decimal place?\nAnswer: 129.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**4\/2 - 39255*u**3\/2.\nAnswer: 3*u**3*(u - 13085)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*b**2*c**3 + 3478196*b**2*c**2 - 15*b*c**3 + 187638*c**3 - 20 wrt c.\nAnswer: 18*b**2 - 90*b + 1125828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1785 + -396. Is 63 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, n: 2}. Give prob of sequence wwnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**3\/9 - 351502*l**2\/3 + 15444382750*l - 46332093750.\nAnswer: 2*(l - 263625)**2*(l - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 3*v. Let c(y) = -1. Let o(s) = 11*s + 18. Let m(q) = 2*q + 3. Let n(g) = 34*m(g) - 6*o(g). Let j(w) = -6*c(w) + n(w). What is i(j(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 2*c**4\/11 + 370*c**3\/11 - 2282*c**2\/11 + 1934*c\/11 + 4584\/11 = 0. Calculate c.\nAnswer: -191, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2012234030 (base 5) to base 2\nAnswer: 1111010110011111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 7*d**4 + 167*d**3 + 872*d**2 - 128*d = 0. Calculate d.\nAnswer: -16, -8, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 32915370 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 3199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6*a**2*s**3*w - 2*a**2*w + a*s**3 - 2*s**3*w + 73*w wrt a?\nAnswer: 12*a*s**3*w - 4*a*w + s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c + 3. Let o be f(5). Let n(r) = r**2 + r + 1. Let i be n(o). Calculate the greatest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 630, 1391, 2658, 4431, 6710, 9495?\nAnswer: 12786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -4*w + 322, h + 5 = -2*w + 169. Let j = 12481 - 12419. Let n = w - j. Which is the third biggest value? (a) n (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 + 32395*z**3 - 36 - z**4 - 32403*z**3 in the form u*z**3 + p*z + s*z**4 + v*z**2 + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (2*sqrt(17)*2*-6)**2*3*6.\nAnswer: 176252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -0.3 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 24 + -17. What is the highest common divisor of a and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d + 0*d + d**4)*(-7 - 20 - 22) - 4*d**4 - 20*d**4 + 12*d**4.\nAnswer: -61*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(-7)*(-12020)\/(-1803). Let y*c**2 + 64\/7 - 64\/7*c - 2\/7*c**3 = 0. What is c?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 137705 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of b**6\/27 - b**4\/2 - 8*b**3\/27 + 4*b**2\/3 - 106. Let h(v) = 0. What is v?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, 0.4, 236, 3, 0.3.\nAnswer: -4\/7, 0.3, 0.4, 3, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 200 + 110112200?\nAnswer: 110120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let l = -1005 - -2213. What are the prime factors of l?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tn when two letters picked without replacement from csccnccctfttctcs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3, -16, 3\/4, 0.2, -212?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be (510\/(-80) + 7)*8. Suppose -3*a + p + 4590 = 0, -w*a + 7650 = 7*p - 12*p. List the prime factors of a.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2243869 != -2243871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -91*p**2 - 4*p - 4. Suppose 55 = -32*x - 9. Let b(g) = 455*g**2 + 22*g + 22. Let m(a) = x*b(a) - 11*j(a). Let h(r) = r. Determine h(m(i)).\nAnswer: 91*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes after 8:18 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 1618, -28, 2 in descending order.\nAnswer: 1618, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 + -6. Find the common denominator of 67\/12 and d\/(-6) + 49\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -x**4 - 4*x**3 - 27*x**2 - 34*x - 16. Let m(r) = r**3 + r**2 + r. Let d(o) = -30*m(o) + 5*q(o). What is i in d(i) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1117 - -592. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(6\/11)\/c)\/c)\/c**(-5))\/((c*c\/(c*c**(-1\/8)*c))\/c**(-2\/3)) assuming c is positive.\nAnswer: c**(727\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 11, t: 2, k: 1}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**3 + 6*g**2 - g + 3. Let q be r(4). Let m = 32 - q. Which is greater: -1\/13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*p = -11*p + 396. Let j = p - 97. Suppose 3*m - d = 354, 3*m + d = -j*d + 342. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1639413 by -60719.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18 and 7342182.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 686031 or 686032?\nAnswer: 686031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2*s - s**2 - 2*s - 3*s + 27. Let g be a(7). Let h = -43 - g. Solve r + 0*r - j + 4 = h, 4*r = -j - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 235273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 46*d - 26. Let v be t(3). What is the greatest common factor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(38)\/sqrt(2) + 3 + -5.\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are -19207 and -19207 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-55 - (20 - 48)) + 43?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the second derivative of -1\/3*h**3 - 22*h + 0 - 6*h**2. Differentiate g(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the first derivative of -d**6\/120 - 3*d**3 - 9. Let m(u) be the third derivative of w(u). Let y(c) = -3*c. What is y(m(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -747*h + 756*h = 2*o + 3, -4*o + 10 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1468417685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is (-13275)\/(-63) + (-6)\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/(-98))\/(3081\/43134)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do 32747558 and 32747557 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2872*l - 108 = -2884*l. Let x(u) = -4*u**3 + 5*u**3 - 9*u**2 + 6*u - u - 10. What is the units digit of x(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.215349 kilometers in micrometers?\nAnswer: 1215349000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -11*r**3 - 1070*r**2 - 2358*r + 1597. What is z(-95)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1759, -1791, -1857, -1963, -2115, -2319, -2581?\n\"Answer: -y**3 - 11*y**2 + 8*y - 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 2510 divided by 10\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.04, 0.2, 0.0193, 2, -3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 100 = 3*f. Suppose j + 3*z + 2*z - 9 = 0, 4*j - 2*z = 58. Suppose -4*h - j + 226 = 0. What is the remainder when h is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 466912157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from {p: 4, w: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (-8 - 24*v + 13*v + 21*v)*(2*v**2 - 4*v**2 + 3*v**2) as q + x*v + m*v**2 + w*v**3 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -32*p**2. Let w(x) = -87*x**2. Determine h(w(n)).\nAnswer: -242208*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 11*f**2 - 110*f - 544. Calculate the remainder when g(-5) is divided by 206.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3222695569 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-19)\/84)\/(2933\/3771) + (-2)\/(-8).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes before 11:38 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/((q*q\/(q**(-4)\/q)*q)\/q)*q**(2\/7)\/q)**(-11\/5))**29 assuming q is positive.\nAnswer: q**(14993\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 - 20. Let h = t - -9. Let d = -1.54 - h. What is d rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15306931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/3 - 287\/21. Let n = 16 + k. Let c(i) = -i**2 - 2*i + 2. Let s(j) = -2*j**2 - 2*j + 3. Give n*c(g) - 2*s(g).\nAnswer: g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 764085853 to the power of 1\/4, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t + 2 + 4. Let z(v) = 6*v**t + 0*v**2 + v**2 - 1. Suppose -q = -1, 4*r + 1 + 5 = 2*q. Give z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -4*z**2 + 292*z + 7440 = 0.\nAnswer: -20, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -109 + 7*n + 10*n - 17*n - 1052*n**2 + 4890*n**2 wrt n.\nAnswer: 7676*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14 - -19. Let g(h) = h**3 + 3*h**2 + 2*h + 1. Let m be g(-2). Let y be -2 + (-6)\/(-1)*m. Is y equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -1, -3, -147, 28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (36 - (-18 - -56)) + 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence keee when four letters picked without replacement from {k: 2, e: 7}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 6 + 50 = -5*r, -8 = -r + 4*f. Let j be 1\/(-2)*(-766)\/r. Let v = j - -48. Which is the closest to 1? (a) -2\/11 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**3 - 64*p**2 + 44*p - 2877. Give u(64).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 5*b - 948, 0 = 2*k + 2 + 2. What are the prime factors of b?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 PM and 3:15 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 17 = 4*p, -5*p + 6*x - 4*x + 19 = 0. Let m = -1 + p. Calculate the smallest common multiple of (704\/10)\/m + 2\/5 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cecez. What is prob of picking 1 e and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*i = 37*i - t, 2*i + 5*t = 27 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c + q + 2, 4*c - 5*q - 5 + 0 = 0. Suppose 3*k - c = 2*k. Find the third derivative of k*o**4 - o**4 - o**4 + 5*o**2 - 10*o**4 wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 216, 420, 620, 822, 1032, 1256, 1500, 1770?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 3\/((-72)\/(-56)) - 3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:49 PM and 4:17 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -106 by 334671.\nAnswer: -106\/334671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 5*t + 15 = -11, 3*x + 2*t = 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-24 - 1544\/(-64))*(0 + 2). Which is the smallest value? (a) -3\/8 (b) 0.17 (c) v (d) -0.4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5 and 54?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 683368 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = 5*a, g + 15 = 5*a - 3*a. Let -z**5 + 4*z**3 + 16*z**2 - 16*z**4 - 206*z + 206*z - 3*z**a = 0. What is z?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25.1 - 25. Let o = 6 + -6. Let z = 0.1 - o. Which is the nearest to z? (a) -1 (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49461174 is divided by 570?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 7*s**3 - 3*s**2 + 4*s + 84. Let c(h) = 16*h**3 - 9*h**2 + 10*h + 165. Calculate -5*a(p) + 2*c(p).\nAnswer: -3*p**3 - 3*p**2 - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 25 + -24. Suppose 0 = -2*f + f + h. What is the tens digit of 1\/(2\/194*f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 times -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*z**4 + 3*z**4 + 2*z**4 + (2 - 2 - 3*z**2)*(-3*z + 3*z - 2*z**2) + 2*z**4 - 2*z**4 + 4*z**4.\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 15 + -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -23930, -92519, -206840, -366899, -572702?\nAnswer: -824255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -11*n**3 - 7*n**2 - n + 1. Does 14 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 4855284242 and -3.3?\nAnswer: 4855284245.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2.399, 5, 1.8?\nAnswer: 2.399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-215)\/1505 - 43\/42?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the first derivative of -715*x**3 - 1826*x + 2140. Differentiate o(z) with respect to z.\nAnswer: -4290*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22 - 15. Suppose -26 = 7*d - 3*v, -7*d + 9*d - 3*v = -31. Let t = -2 - 1. Sort d, t, f.\nAnswer: t, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 85 - -162. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of l**4\/4 - 7*l**2\/2 - 23*l + 203. Calculate the remainder when 328 is divided by n(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + (-28 - 3) + 5 - -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -229*s**5 + 1293*s**2 + 3*s - 3. Let k(d) = -458*d**5 + 2585*d**2 + 5*d - 5. Let c(o) = -6*k(o) + 10*m(o). Find the third derivative of c(v) wrt v.\nAnswer: 27480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/5*v**3 + 0 + 2\/5*v**2 - 12\/5*v.\nAnswer: 2*v*(v - 2)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, -13, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 5*k = 11*k. Solve 18*m - 16*m = k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -10*1 + 4 + ((-55575)\/114)\/(-75). Factor -45\/2 + 1\/2*o**2 - v*o**3 + 21\/2*o.\nAnswer: -(o - 3)**2*(o + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -31 + -150 - (65 - 212).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -29 - -31. Let w = 2.000104 - g. Round w to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-12 - 64 + 2)*(-9 - 27*a - 5 + 26*a) as l + v*a and give l.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 8\/60*(-18)\/(-18)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - 21. Let v = 43 + g. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-246)\/(-11) + (-28)\/(-1078)*-14.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 32*x. Let t(f) = -5*f**2. Determine r(t(g)).\nAnswer: -160*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 40633 times 0.5?\nAnswer: 20316.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (m + 1 - 1)*(-5 + 8 - 19)*(2 + 0 - 1 + (1 + 1 - 4)*(-3 + 1 + 1) + 2 - 2 + 2 - 3 + 7 - 18) as w*m + c and give w.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 183544588*h**2*k**3*v**2 - 2*h**2*k**3*v - 3232*h*k**3*v - 4029*h*k**2*v**2 + h*k*v wrt h?\nAnswer: 367089176*k**3*v**2 - 4*k**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 112 divide 12260864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 5:23 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (c + 3*c - 3*c)*(3*c**2 + 4*c**3 - 3*c**2) - 531*c + 267*c + 267*c - 132*c**4 in the form y*c**3 + f*c + n + i*c**2 + k*c**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.4457 + 0.5457. What is the third smallest value in 5, 1, -0.9, q, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 3*m = 1480. What is the hundreds digit of (m\/(-3))\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 - 1 - (-11 + -132). Suppose -12*a + 50 = -i. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 8785034 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 + 14. Solve q - 10 = p*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2808226883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*a + 20 = 16*a. Factor 15*v**3 - 15*v**2 + 41*v**2 - 5*v**4 - v**2 + 10*v - 5*v**a.\nAnswer: -5*v*(v - 2)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-660)\/(-1755) + (-8)\/52.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 202090\/1155 + -128 - 47?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-405)\/(-540))\/(-1 + (-24)\/3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 6*w - 24. Let c(j) = 2*j + 11. Give -10*c(b) + x(b).\nAnswer: -14*b - 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 56 = -9*k - 95*u + 100*u, 0 = 5*k + u + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 829*w + 114. What is r(0)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -50*g**2*t + 3*g**2 + 15961*g*t + 450248*g wrt t.\nAnswer: -50*g**2 + 15961*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 + 1167?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -253298*n + 12*p = -253299*n + 278, 5*n = -2*p + 56 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**2 + 6. Let n(m) = 7. Let f(t) = 7*h(t) - 6*n(t). Let j(b) be the second derivative of -14*b - 1\/2*b**3 + 0*b**2 + 0. Calculate j(f(o)).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 320, -1, -5, 3.\nAnswer: -5, -1, 3, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 278966*v + 13. Let t be q(-9). Suppose 3*h = 2*r + 11421353, -2*r - 3*r - 28553390 = -5*h. Let l = t - r. Round l to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -292*k - 1272. What is q(3)?\nAnswer: -2148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w - 4*w + 4*w)*(-181*w**2 - 157*w**2 + 410*w**2) + (-96 - 2*w**2 + 2*w + 96)*(3*w + 3 - 3).\nAnswer: -150*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-10))\/((-91)\/70).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i**5 - 1192*i**4 + 86328*i**3 + 378128*i**2 - 1010492*i + 547224 = 0. Calculate i.\nAnswer: -6, 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-814)\/(-4) + 1\/2. Suppose 3*u + 3*s - 201 = 0, -4*u + 64 = -5*s - g. Let b = 14 + u. What is the highest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 9 = 6. Let j = 0 - v. Let l be (-15)\/(-20) - 114\/(-8). Solve 0 = -4*n - g + l, 0 = 2*n - 3*n - j*g + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 2 = j, -1 = 3*j + 5. Let p(a) = 1869*a + 17 + 17 - 1867*a - 11. Is p(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 - -2*(-2 + 3). Suppose -3*q - 5*o = -o - 58, 115 = 5*q + i*o. Suppose -2*r - r = 5*b - 78, -r = b - q. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 22*g**4*v*w - 10*g**4 - 41*g*v + 296903*v*w with respect to g.\nAnswer: 88*g**3*v*w - 40*g**3 - 41*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -175.2*-2.\nAnswer: 350.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:32 PM and 6:56 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 63\/(-14)*(-6)\/(-45)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 269 - -11aca6?\nAnswer: 11b131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -4*p - 10. What is the units digit of (4\/5)\/(p\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7648897*5.\nAnswer: -38244485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tsshhhhhhhhhhh. What is prob of sequence hthh?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 b, and 1 y when three letters picked without replacement from bpybyabybnzbbbpay?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5134*v = -5111*v + 69 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2883, 2\/3, 4\/9, 1\/4 in descending order.\nAnswer: 2883, 2\/3, 4\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 4*b + 7 = 0, -4*m + 11*b - 13*b = -44. Which is smaller: m or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 3629*a**3 + 4*a**2 + 3*a. Let l be x(-1). Is (-6)\/(-14) - l\/28 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 181\/15750 and 52\/28875.\nAnswer: 173250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 2:35 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5571 + -5496. Put -2, -4, 26, m in increasing order.\nAnswer: -4, -2, 26, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/(-2))\/(2\/(-28)) - (-6 - 1). Solve -14*v + m = -21*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (702\/(-65))\/(16\/(-250)). Let g = 168 - p. What is the closest to 1 in g, 5, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7.663 + 0.063. Let f = w + 7. Let c = -0.2 + f. What is c rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times -5055.33?\nAnswer: -505.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 38304174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1618723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -75460 rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*a + 5*a - 4*a + 1310 - 6*a**2 + 8*a**2.\nAnswer: 2*a**2 + 3*a + 1310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -574, 4, 5 in decreasing order.\nAnswer: 5, 4, -3, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 137 and 10.9.\nAnswer: 1493.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.19 + 2.19. Which is the nearest to w? (a) -6\/11 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -392.91 from -774481847.\nAnswer: -774481454.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -168*s**2 - 87*s + 3. Let o(t) = 505*t**2 + 260*t - 10. Let n(m) = 3*o(m) + 10*v(m). What is the second derivative of n(h) wrt h?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -286 - -330. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 divided by 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -6*n + 20. Suppose 0 = 3*h - n*h + 26. What is the derivative of h + 6*q**4 - 4*q**2 - 2*q**2 + 6*q**2 wrt q?\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1453*o**5 + 3378*o**3 - 4*o**2 - 139009250*o?\nAnswer: -29060*o**3 + 20268*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 412 and 13121788.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 10521365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-5)*(-2 + -3). Solve -6*q = -o*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 10 = -2*m + 3*m, a - 10 = -3*m. Let p be 17\/a - (-6)\/12. What is p rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 12 = 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pwpw when four letters picked without replacement from {d: 3, w: 7, b: 4, p: 2, e: 2}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.107 - -0.28. Round d to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 536 + 21. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -205960*i**4 + 32114*i**2 wrt i.\nAnswer: -4943040*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1927123018 - 7.\nAnswer: 1927123011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - (1 - (43 + -20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 988573.\nAnswer: 107, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-12)*m**(4\/7))\/(m\/(m**3\/m))**(-10\/9))**(-2) assuming m is positive.\nAnswer: m**(1580\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -4 + -58 + 3 - (4 - (-15 - -13))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l + 8. Let q be i(0). Let n be 0 + (-6 - (2\/(-29) + (-6912)\/696)). What is the highest common divisor of n and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3816)\/30*(-5)\/(-14). Which is smaller: -45 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1 (b) -1\/3 (c) -81.7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 PM and 8:57 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -130200154 * 0.1\nAnswer: -13020015.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15\/22 + -2\/11. Let s be (2\/(-8))\/((-50)\/(-80)). Let h = 1 - 0. Which is the closest to -2? (a) h (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 12, 668 in descending order.\nAnswer: 668, 12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 3 - 2. Is -1\/24 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/3 - 49\/(-294) - 110\/(-624). Which is the closest to f? (a) 1\/4 (b) -11 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1474051 is divided by 1033?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 3*b - 16. Suppose -l = -5*k + 12, -l + 0 + 6 = b*k. Find the second derivative of -5*o**k + o**2 - 4*o**2 - 3*o wrt o.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -5, -3, 4, 0.05, 94, 33 in descending order.\nAnswer: 94, 33, 4, 3, 0.05, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14\/5*(-6)\/(-7))\/(18\/(-9)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6238 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16 - 16 - 17*h**2 + 9*h**3 + 4 + 2*h.\nAnswer: 9*h**3 - 17*h**2 + 2*h - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 2*n - 268 = -5*b, -2*n - 400 = -3*b. Let i(t) = 7 + 14*t - t - 8. Let j be i(1). Calculate the greatest common factor of j and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q + 2*q + 5*q)*(0 + 4 - 2)*((0 - 4 + 2)*(7*q**3 - 5 + 5) - 31*q**3 + 23*q**3 + 40*q**3).\nAnswer: 324*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 1 = -5*s + 3*q, 2*q = 4*s + 2. Suppose 0 = -4*g - o + 5*o - 16, -23 = -3*g - 4*o. Put s, g, 5 in decreasing order.\nAnswer: 5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -17*x**2 + 9*x + 43. Let m(p) = 7*p**2 - 4*p - 17. Let s(q) = -5*m(q) - 2*o(q). Let y(h) = 2*h - 1. Determine -3*s(i) + 4*y(i).\nAnswer: 3*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -72 < -2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8973?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1846 (base 9) to base 11\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 650798 and 4707751?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + 16 = -10*n + 13*n, -2*b + 6 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 145150, 145153, 145156?\nAnswer: 145159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -56, -123, -202, -299, -420, -571, -758?\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 32*y**3\/7 - 4720*y**2\/7 + 2354*y\/7 - 42.\nAnswer: 2*(y - 147)*(4*y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 7, -73, -2, 1, -5, 48 in descending order.\nAnswer: 48, 7, 1, -2, -4, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 31 and 21545527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -17*n**2 - 94*n**2 + 47*n**2 - 53*n**2 in the form o*n + b + w*n**2 and give w.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be 80\/(-24)*(-5 + -4). Let k be (-2)\/(-8 + 228\/l). Solve 0 = -2*g - k*p - 5, 2*p - 17 = -4*g + p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1437*f - 1442*f + 222 = 69*d, 0 = 5*d + 3*f - 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 6 = 2*y + 2*y, -3*y = 4*u - 8. Suppose 0 = -3*q - 9, 3*f + u*f - q + 12 = 0. Let k(b) = -3*b - 1. What is k(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -2678989 and 7452341.\nAnswer: 4773352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - -8 - (-294)\/504*-36.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2904150 (base 10) in base 9?\nAnswer: 5415663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13208 is divided by 130?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 + 4*s**2 + s - 4. Let q be y(-4). Let r be ((-20)\/q)\/((-1)\/(-2)). Let v(k) = k - r - 4 + 1. Give v(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 417 = -90. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**2 - 18*t - 19. Is 23 a factor of c(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h**4 - 7*h**4 + h**4)*(-2*h + 7*h + 0*h) - 4*h**2 + 3*h**2 - 3*h**5 + h**2.\nAnswer: -18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 143347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 12, l: 6}. What is prob of sequence xl?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-4)*(-848)\/(-8). Let t = c + 81. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of x**5\/10 - x**4 + 6*x**2 - 20*x. Let p be g(10). Suppose -p = -5*q + q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 4 + -18 + (1 + -6 - -16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3675 - 3659. Solve -7*g - y = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 118059 and 2898?\nAnswer: 4958478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**2 + o + 1. Let l(g) = 2*g**2 - 2*g - 5. Give 5*k(b) + l(b).\nAnswer: -3*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lzgkmmkzzgkklz. What is prob of sequence lgl?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 11? (a) -14\/17 (b) -171 (c) -2\/7 (d) -1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4613214?\nAnswer: 2, 3, 768869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 2*l**2. Let v(w) = 2*w**2 + 3300. Give v(n(t)).\nAnswer: 8*t**4 + 3300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.003 - 0.103. Let r = -208 + 9985\/48. Let h = r + 35\/48. Which is the biggest value? (a) 0 (b) -2\/5 (c) h (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -g**4 + 967*g**3 - 5563.\nAnswer: -4*g**3 + 2901*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 22 - 48. List the prime factors of (-2)\/13 + -4*300\/w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 271733338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 184*i + 589*i + 257*i - 27810 = 0 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 247 - 33 = 0. What is the remainder when d is divided by 21 - (-3)\/((-6)\/4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g + 244 = -3*z + 211, 1 = g - 3*z for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 - 313?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 + -1)*1 - -2. Suppose 9*m - 134 = -8. Suppose -5*k = -m*k. Sort -5, f, -2, k in decreasing order.\nAnswer: f, k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -11*o - 143. Let b be h(-13). Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 37 - 8)*(-3 - 2*g + 3).\nAnswer: -68*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*h - 107 - 28*h + 43*h - 122 + 229.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (-3 + sqrt(5))*-6 + 2*(-5*-2*sqrt(5) + sqrt(5)))**2.\nAnswer: 576*sqrt(5) + 1604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -466 (base 13) in base 9?\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**3 - 3*q**2 - 5*q + 8. Give x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -4 plus 5464082507?\nAnswer: 5464082503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 5630006549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put together -85159233050 and 8.2.\nAnswer: -85159233041.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 - 36 = -2*o. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -3.46.\nAnswer: -6.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -122 - -119. What is the remainder when 113 is divided by -4 + (28 - h) + 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vss when three letters picked without replacement from vvvsvvsvvvvsvv?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r + 6616 = 31536. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 266 and 32571.\nAnswer: 1237698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2068 - 2063. Solve -2*y + 4*s = -2, 4*y - 40 = -2*y - p*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -0.1, 37, 40.5, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 157 + -3?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4, 12, 0.016, 0.1, 0.03, 1\/2, 1.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 5*o + 1. Suppose 3*q - 23 = -2. Let j be z(q). Suppose 4*n = 2*x + 22, -n - 5*x = 2*n - j. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let -4006 - 3*u**3 - 384*u + 30*u**2 + 36*u**2 + 4678 = 0. What is u?\nAnswer: 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 9*j - 28. Let o(y) = -42*y - 3 + 0 + 40*y - 4. Let m(q) = -5*q - 15. Determine j*o(c) + 3*m(c).\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 365160 != 730321\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 AM and 6:14 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 13*s**2 + 6. Suppose 3*v = 3*j, 2*j + v = -22 + 40. Let q(r) = 12*r**2 + 5 + r**2 + 0*r**2. Let o(y) = j*q(y) - 5*i(y). Let b(m) = 3*m. Give b(o(f)).\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -1541 (c) -6749\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 440, -52, -298 in increasing order.\nAnswer: -298, -52, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-26 + 1200\/45)*1*18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 49*p. Let c(a) = 2990*a**2. Give u(c(g)).\nAnswer: 146510*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2078 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 54033865 and 1165?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*i**3 + 41*i**3 + 14*i**3 + (0*i**2 - i**2 + 2*i**2)*(-3*i + 6*i - i) + (0*i**2 - 4*i**2 + 2*i**2)*(-2*i + 3*i - 2*i).\nAnswer: 70*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/3*q**3 - 1\/3*q**4 - 4\/3*q**2 + 0*q + 0.\nAnswer: -q**2*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 404 + -280. Suppose -4*x + 16 = 0, 4*d + 2*x - h = -2*x. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-36 - 17 - 16)*(-2*a + 1 - 1) - a + 0*a + 0*a + 1 - 1 + a + (2 + 1 - 5)*(2*a + 0*a - 3*a).\nAnswer: 140*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 9*w - 311. Let c be u(35). What is the tens digit of c\/18 - (-336920)\/180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9009.78 rounded to the nearest one hundred?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36 and 3600?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvooovvv. What is prob of picking 1 o and 3 v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 397 - 400. Let l = 32 - 65. Calculate the smallest common multiple of l\/(-1 - k\/(-6)) and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8944858 nanometers in micrometers?\nAnswer: 0.0008944858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -3*d - 916. Let b(h) = h**2. Determine u(b(s)).\nAnswer: -3*s**2 - 916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cf when two letters picked without replacement from {f: 3, c: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.2, -0.3, -0.11736, -6, -5, -8\/9?\nAnswer: -0.11736","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*a - 3290 = -440. Suppose 0 = -o + 4*z + z + 51, -a = -4*o + 2*z. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1845 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -4*s - 4*x, -11 = -5*s - 3*x + 9. Suppose -2*r - 32 = -4*l - 5*r, s*l + 5*r - 40 = 0. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1000152320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 + (-1 + 2)*5. Suppose 41 = -m*b + 157. Suppose -3*z = p - b, -z - 7*p - 5 = -3*p. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 472*y**5 - 5*y**3 + 13*y + 124 wrt y.\nAnswer: 9440*y**3 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -110816 not equal to 2\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add together 1 and -269.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -6*l + 15. Let r be v(12). Let b be 4\/2 + r\/(-3). What is the second derivative of 21 + 4*f**2 - f**2 - b - f wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -11*t + 2. Suppose 2*r = -t, 4*k + 4 = 7*k + 2*r. Which is the nearest to -2? (a) 3\/4 (b) -4 (c) k (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 39*f - 39*f + 3*f**2. Let d = 15 + -13. Let h(m) = d*m + 3*m + m - 5*m. Give h(z(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 215 - 360. Is -145 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -972 - -399. Let f = i + 573.0506. Round f to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.08 + 0.18. Suppose -48 = -14*i + 2*i. Which is the nearest to -1\/2? (a) i (b) 6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m - 4*m**2 + 5 - 5 + 2*m**3.\nAnswer: 2*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*-0.042832.\nAnswer: 0.128496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -7940 by -168.\nAnswer: 1985\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(3 + (2*sqrt(75) - sqrt(75)) - (sqrt(75) + -1 + -5)))**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 325920\/1649 + (-12)\/(-34) and 1386.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 656\/(-374986)*(-9134)\/(-8) - -2. Which is greater: 0.1 or r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 2*t = -9, 0*t - 5 = i + 2*t. Calculate the remainder when 2 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1280\/(-960))\/((44\/(-30))\/(12\/20))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*z + 5*z + 6180. Suppose 112*t = 115*t - z. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.191 + -0.109. Which is smaller: t or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 1 = -v. Find the common denominator of (-165)\/(-20)*4\/(-14) and ((-1)\/(-2)*-65)\/(5 - v).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/18 and -7\/1904828?\nAnswer: 17143452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/8 + -1)\/(1897\/4336)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 147\/84*12\/9*3. Suppose i*o - 263 = 1221. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of -3*x**4\/8 + x**3\/6 - 9*x**2. Let c(j) = -8 - 12 - 17 + 7*j + 5 + j**2. Let q be c(-10). What is d(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 54 = -2*p, -4*u - 27 = -p + 12. Let d = 43 - p. Calculate the highest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = 4*w + 20, w = 12*c - 16*c - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -146904668 minus -537?\nAnswer: -146904131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 6946628*z**2. Let k(b) = -2*b**2. Calculate q(k(p)).\nAnswer: 27786512*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (60 + 2)*2\/4 is divided by -14*((-36)\/42 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = p, -5*p - 11 = -5*h + 9. Suppose 5*s = 3*o - 2*o + 24, o + h*s - 4 = 0. Let i = 3 - o. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -2*y**2 - 20*y - 15. Let w be p(-9). Let t(r) be the first derivative of -1\/3*r**w - 4 - r + r**2. Suppose t(l) = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i - 0*i - 4*v + 6, 5*v = 2*i + 12. Suppose 66 = 45*b - 12*b. Suppose 0*a = -2*t - b*a - 4, 2 = -a. Is i less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -235 - 2.49.\nAnswer: -237.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 27 = -3*q, 6*q - q = 5*u + 35. Let l be 2\/(-4)*(-3)\/u. Sort -2, -0.2, l.\nAnswer: -2, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 172 = -l + v, 0 = -2*l + 2*v - 334. Let r = -164 - l. Let x be 3*(1 - (-2)\/(-6)). Is r at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes before 7:25 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l + 2 = 5*c - 28, -l + 9 = 2*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 95\/62 + -1\/31. Suppose -10 = -5*i - 5*l, 10*l = -5*i + 12*l + 38. Let m be (44\/8 - i)*2\/4. What is the second biggest value in 0.2, v, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 3 - 3*o - o - o**3 + 6*o**3. Let a(i) = 9*i**3 + 2*i - 3*i + 5 - 6*i. Let b(v) = 3*a(v) - 5*n(v). Find the second derivative of b(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -52 - (5 - 53) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3232932299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14 - -8. Let k = 3 + c. Let l = k - -3. Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -789*w**2 - 2028*w**2 + 5 - 5.\nAnswer: -2817*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -30738000 rounded to the nearest 100000?\nAnswer: -30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the second derivative of 8*m**3 - 18*m**2 + 86*m - 1. Is 13 a factor of p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -14540 (base 6) to base 12.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 286 (base 9) in base 7?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -6*w - 11. Let z = 3699 + -3706. Let n(b) = b + 7*b + 6 + b - 6*b. Calculate z*n(m) - 4*r(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -24 - -29. What is the third derivative of -627 - u**2 + 627 - 8*u**k wrt u?\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + (-4 - (7 - (17 + -4)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -2*m. Suppose -29 = 3*h - 5*c, -8 = -4*h + c - 6*c. Let a(y) = -1. What is h*a(u) - b(u)?\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of 2*c**4\/3 - c. Let m(z) = 698 + 18*z + 992 - 1690. Calculate m(g(u)).\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/18 and (28\/42)\/(44\/(-159)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -3*r**3 + 106*r**2 - 821*r + 8. What is j(24)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -113\/30 - 197\/105. Find the common denominator of q and 33\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g + 1. Let k(n) = -5*n + 2. Let q(s) = -k(s) + 4*v(s). Let d be q(-2). Find the second derivative of 0*t**4 + 2*t**5 + d*t**4 - t**5 - 4*t wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the third derivative of -u**5\/60 - u**3\/6 - 6*u**2. Differentiate c(b) with respect to b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 4634*b - 736. Let q(h) = -4635*h + 711. Let j(y) = 5*g(y) + 4*q(y). Differentiate j(m) wrt m.\nAnswer: 4630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -55488654 divided by -6.\nAnswer: 9248109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1295051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8452775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -237 + 10102. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -32, -69, -130, -215, -324?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -2, -8, -0.5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l = -5668*p + 5666*p + 6, p - 6*p = 5*l + 55 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the first derivative of -14*o**2 + 0*o**4 + 50\/3*o**3 - 1\/6*o**6 + 61 + 0*o + 0*o**5. Find the second derivative of t(z) wrt z.\nAnswer: -20*z**3 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -60*u**2 + 189*u + 7. Let l be c(2). Factor l*b**3 + 12 + 64*b + 409\/3*b**2 + 49\/3*b**5 + 77*b**4.\nAnswer: (b + 1)**3*(7*b + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the first derivative of 0*d**4 + d**3 + 1\/6*d**6 + 0*d**5 - 2 + 0*d**2 + 0*d. What is the third derivative of v(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 913, 1806, 2689, 3556, 4401, 5218, 6001, 6744?\n\"Answer: -r**3 + r**2 + 897*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 3*v = 12, 5*w + v + 0*v - 44 = 0. Suppose 4*r - 8 - w = 0. Let n be -3*r\/(-6) + -5. Which is the closest to n? (a) -5 (b) 0.1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18847, 37651, 56457, 75265, 94075, 112887?\nAnswer: 131701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -28, -20, -12, -4, 4, 12?\n\"Answer: 8*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from xxxrp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 2*q**3 + 43*q**2 - 96*q + 87. Give i(-23).\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 25, 1, -0.5, -3\/4 in decreasing order.\nAnswer: 25, 1, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 152, 150, 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 23317310 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 7, o: 3}. What is prob of picking 1 o and 2 w?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -96683, -96663, -96633, -96593, -96543, -96483, -96413?\nAnswer: -96333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose d**2\/5 - 9*d\/5 - 699712\/5 = 0. What is d?\nAnswer: -832, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*b*i**2 + 208*b*l*o + 2*i**2*l*o + 2*i**2 - 46*i*l*o wrt b.\nAnswer: -3*i**2 + 208*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 198294 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -731 + 2039. Suppose 266*q - 264*q - j = 0. List the prime factors of q.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 46.7 - 47. Let h = -0.1 - -0.1. Which is the nearest to h? (a) n (b) -1\/6 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0527618 rounded to 4 dps?\nAnswer: -0.0528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 4412772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-76) - 42739\/(-15010))\/(-4 - (-35)\/10)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -1922698.02 to the nearest one hundred.\nAnswer: -1922700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1704157 divided by 3991?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/174332 and 59\/105780.\nAnswer: 112444140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 21775646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36*y + 36*y - 137*y.\nAnswer: -137*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2713323421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(44) + sqrt(44) + -2*sqrt(33)\/sqrt(3))**2.\nAnswer: -4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-8272)\/3760*((-1)\/(-22))\/((-1)\/12)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -177*b**3 - b + 9 + 360*b**3 - 103*b**3 + 7 + b**2 to the form r + j*b**3 + p*b**2 + x*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 3*c + c = -9886, -5*d = -3*c - 24722. Suppose -4*n = -4, -3*n = 5*l - 49833 + d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 840 and 3360?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 201*y**2 - 287*y**4 - 1037 + 226*y**2 - y - 427*y**2 with respect to y.\nAnswer: -1148*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11393.3 - -11393. Which is the third biggest value? (a) 0.3 (b) 0 (c) k (d) 1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 93966896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 28.61 + 0.39. Let t = -6.2 - -37.2. Let o = t - w. Is o less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -74. Suppose -l = 5*s - h, -2*l = -3*s - 3*l + 41. What is the remainder when s is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + -2 + 3 - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2 and 13007.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 10489.462503 rounded to the nearest 10?\nAnswer: 10490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.167 and 6.\nAnswer: 5.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the first derivative of -5\/4*r + 1\/12*r**3 + 23 - 1\/2*r**2. Suppose f(o) = 0. What is o?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 29101.98 litres to millilitres.\nAnswer: 29101980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - 4. Let z = -0.3 - -0.2. Let l = z + 0.3. What is the second smallest value in 4, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 753300 rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 + 4 - 3\/(-3). Let l = -3 + h. Let x(w) = w**3 - 5*w**2 - w + 5. Let n be x(l). Solve n*s + 1 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -55, -872, -352, 3 in decreasing order.\nAnswer: 3, -55, -352, -872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1005 + 11331?\nAnswer: 12336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.35 from 13520.0143.\nAnswer: 13518.6643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2.98*-0.1\nAnswer: -0.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -22028390 to the nearest 100000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 1355 - 1355 + 2*q. Let j(o) = 5*o. Give k(j(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 52 + -52.14. Let p = -3 + -1. Which is the nearest to -0.1? (a) g (b) 2\/17 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*b**2 - 3*b**2 + 10*b**2 + (-72*b + 30*b + 11*b)*(-1 + 0 - 2*b - 1).\nAnswer: 69*b**2 + 62*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -2*c - 25. Let b be v(-10). Sort 5, b, 24 in increasing order.\nAnswer: b, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**2 + 6*q + 3. Let u be l(6). Suppose 3 = -4*d - 3*b - 1, 5*d + 32 = u*b. Let n be (-1)\/15*(1 + d). Put 0, n, -2 in ascending order.\nAnswer: -2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -440*m + 63. Let d(b) = -219*b + 34. Let a(p) = 7*d(p) - 4*g(p). What is the first derivative of a(v) wrt v?\nAnswer: 227","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -5*h - 3, -7*l + 2*h + 52 = 4. Let s(n) = n + 2. Let k(d) = d + 1. Calculate l*k(t) - 3*s(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/((-1)\/(-2*3)*-2). Let z be 27\/(-18)*q\/(9\/30). Let p be (14\/(-63)*24)\/(2\/z). What is the greatest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in -1, 2\/5, -1060, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**3 - 11*g**2 - 2*g - 8. Let r be s(-11). Let o be 7\/(-14) - r\/(-4). Suppose -o*z - 4*c + 9 = 0, -5*z + 18 + 8 = 3*c. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(152)*2 - sqrt(152))*6 - sqrt(152) - sqrt(152) - sqrt(152))\/sqrt(8) - (-1*(sqrt(19) - (sqrt(19) + 2*sqrt(19))) - sqrt(19))**2*-4.\nAnswer: 3*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1310954, 1310440, 1309584, 1308386, 1306846?\nAnswer: 1304964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2595 or 2599?\nAnswer: 2595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**3 - 21*f**2 + 2*f - 12. Let j be m(21). Find z such that -52*z - 3*z**2 - 152*z - j*z - 4563 = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/283094 and 23\/66722.\nAnswer: 129373958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 17 + 1 = 0. What is the least common multiple of f and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1015*g + 2980 = -1013*g. What are the prime factors of g?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2115500.\nAnswer: 2, 5, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*k**2 - 12*k**2 + 12*k**2 - 31*k**2.\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 23*o**4 + 3671*o**3 - 2*o**2 - 5*o + 58070352?\nAnswer: 92*o**3 + 11013*o**2 - 4*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 4) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2844 and 36.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -60*y**4 + 6 - y**2 + 61*y**4 - y**2 - y to g*y**2 + x + t*y**3 + c*y**4 + q*y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 52 and 19.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 90 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(17) + (sqrt(17) - (sqrt(17) + -1)*-4) + -2.\nAnswer: -6 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 250152 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 464 = -8*l - 336. Calculate the remainder when l\/3*((-15)\/(-6) + -4) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11053*x - 4428*x = 271625 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(684) - (sqrt(684) + sqrt(684) + -1 + sqrt(684)))*4 - (5*(sqrt(19)*1 - sqrt(19)) + -1))**2*1.\nAnswer: -480*sqrt(19) + 43801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -27 - -64. Let h = 67 - t. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 6*f. Let t(b) = -13*b**2 - 7*b - 7. Let r(k) = 9*k**2 + 5*k + 5. Let j(z) = -7*r(z) - 5*t(z). Calculate u(j(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 57\/40 and 7\/575.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -3*d**3 + 24*d**2 + 3*d. Let q(a) = -3*a**3 + 25*a**2 + 2*a. Let v(h) = -3*q(h) + 2*s(h). Factor v(n).\nAnswer: 3*n**2*(n - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 6*c**2 - 4053*c + 51335. Give a(13).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -2. Let b = -1 - l. Let n be (-21)\/(-3) - 1 - b. Calculate the highest common factor of n and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 32*c + 28*c = -118, 6*c = 5*s - 222. Let r(y) = 6*y - 2. Let q be r(6). Suppose -4*p + q = -s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -305 + -14420404?\nAnswer: -14421113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -l**3 - 2*l + 4 - 2*l**2 + 0 + 2*l**4 - 4 in the form p*l**3 + o*l**2 + a*l + v*l**4 + q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**4 + 24*p**3 + 236*p**2 + 552*p + 342.\nAnswer: -2*(p - 19)*(p + 1)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f - 10*f + 4*t = -4, 0 = -4*f + 5*t + 6. Let k be 1*f - ((0 - 6) + 5). Factor 1\/3*y**3 + k + 0*y + 0*y**2.\nAnswer: y**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 + 8 - 8) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 152, 8155, 16158, 24161, 32164?\n\"Answer: 8003*h - 7851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) + -2*sqrt(77))\/sqrt(7)*5.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 12*z - 11*z + 13*z + 82*z + 7523 - 7524 + 16*z + (3 - 6 + 2)*(z + z - 4*z) + 0*z + z + 0*z + z + 2*z - 2*z in the form r*z + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -5*o. Suppose 2*k - 10 = 2*n, -3*n - 2 = -2*n. Suppose k*l + 5*c = -21, 2*l + c + 4 = -3. Calculate g(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 125.5281ng to grams.\nAnswer: 0.0000001255281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 1 + b**3 + 4*b**3 - 4*b**3 + 2*b + 4*b**2. What are the prime factors of y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 102545 + 430?\nAnswer: 103305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s**2 - 3*s - 1161 + s**3 + 577 + 6*s + 575 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -3, 519, -5, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -6, y - 5*f - 20 = -0. Let h be -1 + 10\/2 - 2. Suppose -2*d - 7 = -3*q, -h = -5*d + 3*q + 3. What is the least common multiple of d and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*r = 27 + 3. Suppose -3*u + 9 = -3. Suppose -f = -4*y - 13 + 32, r*f = u*y - 25. Calculate the highest common divisor of y and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 + 2)*(a**3 - a**2 + 2*a**4 - a**3 + (8 + 0 - 3)*(-a**4 - 5*a**4 + 3*a**4) - 2*a**4 - 2*a**3 + 2*a**3).\nAnswer: -45*a**4 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 19 + (10 + -27 - -18) + 11?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 11:48 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6421444574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 22575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -1387853*w**2 + 2*w**4 + 400*w**3 + 0*w**4 + 1387033*w**2 + 3*w**4 = 0.\nAnswer: -82, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is w in 110*w**4\/7 + 4808*w**3 - 102974*w**2\/7 + 10240*w - 2472\/7 = 0?\nAnswer: -309, 2\/55, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -3*l**3 + 3*l**2 - 4*l. Let i(p) = -6*p**3 + 7*p**2 - 9*p. Calculate 4*i(u) - 9*q(u).\nAnswer: 3*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the third derivative of m**6\/120 - m**5\/15 + m**4\/12 - m**3\/6 - m**2. Let z be 1 - 0\/5 - -2. Give x(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -2. Let j(l) = -2*l**t + 1 + 5*l + 3*l**2 - 2. What are the prime factors of j(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 8*d**2 - 17*d + 24. List the prime factors of x(16).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*-1 + (-28)\/(-6) + -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**2 - 15*t + 42. Let d be a(8). Calculate the remainder when 8 is divided by 2\/d + (-86)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.2, 2\/5, 3, -5, 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 5951401 divided by 1?\nAnswer: 5951401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10, -13, -2, 35, 110, 235, 422?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 20768279419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -10020 (base 3) to base 13\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 19977254 divided by -9988627\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((24\/(-30))\/((-2)\/5))\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 - 4*c. Let v be b(2). Sort -2, 1, v.\nAnswer: -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the second derivative of u**7\/42 - u**6\/30 - u**5\/20 + u**4\/12 + 9*u. Factor x(z).\nAnswer: z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 194 - 205. Does 10 divide s\/(132\/9) + 1926\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(95)*-2 - 4*(sqrt(95) + (sqrt(95) - sqrt(95)*2)))\/(sqrt(245) + sqrt(245) + -6*sqrt(245)*1 + sqrt(245)).\nAnswer: -10*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-4*(sqrt(429) - sqrt(429)*1 - sqrt(429)))\/(sqrt(110)\/(sqrt(10)*-1)))\/(-1*(sqrt(33)\/(sqrt(33)\/sqrt(3)) + sqrt(12)\/sqrt(4)*-4)))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/(-15))\/((-4)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be 80195\/6714 + ((-5)\/18)\/(-5). Solve h*m - 65 = -17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*t = -2204600 + 959194 - 1318816. What is the ten thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 8*l - 1540 = -3*l, 3*m - 2*l + 939 = 0. Let h be m\/(-7) + 6\/(-14). Calculate the highest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 2*x - 19 = 3*k, -5*x + 10 = 0. Let g be (-2)\/k - (-12)\/9. Let j be (2 - 32\/6)*-3. Calculate the greatest common factor of g and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the third derivative of z**5\/12 - z**3\/3 + 2*z**2. Differentiate s(n) with respect to n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*sqrt(85)*1)\/(-2*sqrt(5)*-1))**2 + (1*sqrt(17) + 0)*1 + sqrt(2057) + -1 + 1.\nAnswer: 12*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**3 - 5*p**2 - 3*p - 3. Let u(d) = 4*d**2 + 3*d**2 + d**3 + 4*d - 3*d**2 + 3 - 4. Let f be u(-3). Determine c(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-895)\/24702 - (1\/(-9))\/(20\/30)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 729288 + -1727921. Let k = 998535.0143 + v. Let b = -98 - k. What is b rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -252 divided by -12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (14\/(-252))\/(-9*(-6)\/(-2268))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iii when three letters picked without replacement from {g: 3, j: 2, i: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 3, r: 3, c: 1, p: 3}. Give prob of sequence prpp.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -4*d**2 + d + 1. Let q be z(-1). Let g = q - -28. Let t = 39 - g. Solve 4*i = -i - t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 7 (b) -3671 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 62022168 and 1656?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 678 (base 9) to base 13.\nAnswer: 33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-36)\/10*16\/(-64)*20\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 155\/210672 and 85\/304.\nAnswer: 210672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -155 + 100. Let f = -133 - o. Let x = -73 - f. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 496, 830, 1048, 1150, 1136, 1006?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 2680 * 41.\nAnswer: 109880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -10 - 33*d - 35*d - 40*d + 136*d - 30*d. Calculate q(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9604 and 970?\nAnswer: 4657940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 1 d when three letters picked without replacement from dsstfd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-96)\/308)\/(-3) - 10\/35. What is the closest to 1\/3 in t, 0.3, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 66.01667 nanometers to kilometers.\nAnswer: 0.00000000006601667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 0*w + 3*w + 2)*(10 - 2 + 11).\nAnswer: 57*w + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 337*n - 337*n + 1192*n**2 - 68*n**2 + 2*n**3 + 2 as v + o*n**3 + c*n**2 + u*n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from chscchvwshsccc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11)\/264*16*(-6)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3753 + -3748. What is the nearest to 2\/7 in 0, a, -1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/13878018 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 1 s when three letters picked without replacement from glemllegsle?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-34 - -30)\/(14\/(-22)) - 6\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -6, 26, 154, 438, 938, 1714, 2826?\n\"Answer: 10*j**3 - 12*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 1122 divide 53662957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -426672.0977 rounded to the nearest 10?\nAnswer: -426670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 33 = 3*f, 17 - 8 = -3*f - 3*a. Is f at most -159\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 49*z - 5382. Let m be g(154). Solve 2178*c - m*c = 70 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 6*w = -20. Let n(m) = -4*m - 3 + 10 - m. Let b(a) = 140*a + 20. Let s(q) = -77*q. Let x(c) = b(c) + 2*s(c). Give w*x(g) - 11*n(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2 + 6 + -4)*-1. Suppose -3*o + 0*o - 480 = a. What is the units digit of 4*1 + o\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15503869349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1307532 to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4 and -17.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*f - 15*f - 52297*f**2 + 52506*f**2.\nAnswer: 209*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 6*y**2 + 2*y. Let s be r(2). List the prime factors of (-2)\/(-7) - (-272)\/s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - ((9 - 18) + 3 - -15)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 33 + -34. Put c, 4, -9 in descending order.\nAnswer: 4, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n**3 - 6*n**3 + 4*n**3)*(-3*n**2 - 4 + 4) - 10*n**2 + 3*n**5 + 10*n**2 + 2*n**5 + 2*n**3 - 2*n**3 + (-n + 2*n**5 + n)*(-1 - 2 + 2)*(2 + 2 - 5).\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -816395 divided by 1?\nAnswer: -816395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47 = -0*h + h + r, -2*h = 4*r - 94. Suppose 7*q - h = -26. Solve -4*g + 9 = -3*x - 10, q*x + 7 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -403, 1059.\nAnswer: -403, 4, 1059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 315 is divided by 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 97*j + 98*j - 197*j to l*j + y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*r**5 - 2*r**5 - 2*r**5 + (-2*r + 2*r + r**4)*(-r - 2 + 2) - 2*r**5 + 1 - 1 + (3*r**2 - 6*r**2 + 2*r**2)*(0 - 3*r**3 + 0).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/32)\/((910\/56)\/13).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2244, -5176, -8114, -11064, -14032, -17024, -20046, -23104?\nAnswer: -26204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of -f**5\/5 + 287*f**4\/4 + 4*f**3 - 27*f**2 - 790*f + 10. What is the second derivative of s(z) wrt z?\nAnswer: -24*z + 1722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u - 4*s + 140 = -4*u, 0 = -3*u - 2*s + 100. What is the highest common divisor of 12 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 858 - 466. Suppose 0 = y + y - r. Suppose -y = -4*v - 20. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 111*p*t**2 - 13*p*t - 2*p + 45*t**4 - t**3 + 2*t**2 + 4*t - 53 wrt t.\nAnswer: 222*p + 540*t**2 - 6*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -43*l + 115. Let i be v(4). Let d = -4523 + 32058\/7. Let x = i + d. Which is the nearest to x? (a) -2\/9 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13551967391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 103, 189, 277, 367, 459, 553, 649?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 i, and 1 f when three letters picked without replacement from {b: 2, m: 4, i: 8, f: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 8.18 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 2 + 40047*m - 42818*m as z*m + f and give z.\nAnswer: -2771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 430077.\nAnswer: 2\/430077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 4001, 4000, 3999, 3998?\n\"Answer: -m + 4002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-36*t - 6 + 41*t - 3)*(-1 + 4 - 4).\nAnswer: -5*t + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/(-7) + 236\/826. Let r = 9 - 14. Let h = 4.6 + r. What is the second smallest value in u, h, 2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1098 (base 12) to base 15.\nAnswer: 82e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (-4 - -6) + (-5 - -16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4166 at least as big as 4126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 5 = -3. Is d greater than or equal to 20\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-2*-4*sqrt(468)*1 + 3))**2.\nAnswer: 4608*sqrt(13) + 479376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 10102201010210 (base 3) in base 4?\nAnswer: 12331200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.39 in 7\/40, 0.02, 0.5, -4, -5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-63)*-3 - (-59 + (-24190)\/(-413))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 5 (b) 6 (c) -1 (d) 0.623 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15758, -15756, -15754, -15752, -15750?\nAnswer: -15748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3 and -225.9?\nAnswer: 67.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 681017 to the power of 1\/2, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 8834 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 64 times -7\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 885*c**2 - 378 - 889*c**2 + 197 - 357.\nAnswer: -4*c**2 - 538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 532 = 5*q, 171 + 45 = 2*q - 2*m. What is the least common multiple of q and 3?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a + 4*r, 8*a - 6*a + r = -12. Does 8 divide (236 - a)*(-12)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/29? (a) 10 (b) -0.2192 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 53768, 107539, 161310?\n\"Answer: 53771*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, a: 5, y: 2, r: 1, p: 1}. Give prob of picking 1 g and 1 r.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 1, e: 3, q: 5}. What is prob of sequence qqqe?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 58*-0.11\nAnswer: -6.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the third derivative of -189*c**4\/4 + 119*c**3\/2 - 4*c**2 - 2. Differentiate i(z) wrt z.\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 4887*q - 68. Let u(f) = -1629*f + 24. Calculate 6*t(p) + 17*u(p).\nAnswer: 1629*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m - 5*y + 28, 36 = 5*m + 3*y + 6. Suppose 4*o + 9 = -m*c - 0*o, 3*o = -9. Suppose f - 5*g = 2*f + 7, c = -3*f - 5*g. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 2*c - 8*w + 35, -w = -4*c - 43. Let r = c + 25. Let a = r + -21. What is the nearest to 2\/3 in -4\/3, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4b - 167a?\nAnswer: -16c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -15, -11 in increasing order.\nAnswer: -15, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 214\/41 (b) -4 (c) 7721\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of -v**7\/210 + 1153*v**6\/120 - v**4\/12 + 243*v**3\/2 + 1255*v**2. What is the second derivative of j(x) wrt x?\nAnswer: -12*x**2 + 6918*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 81*x - 76*x. Let j be (3 - x)*2\/(-6). Sort 5, j, 0.2, 1\/2 in decreasing order.\nAnswer: 5, 1\/2, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 197917079701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 15 + 22 - (20 + 62 + -16)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -235, 0, 4 in decreasing order.\nAnswer: 4, 0, -0.5, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 - 4) + 56\/4. Let v(g) = g**3 - 12*g**2 + 10*g + 6. Let n be v(y). Let o be 156\/65 + 2\/n. Solve -4*f = -o*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**2 - 14*u - 27. Let i be y(-2). Solve v + 6 = 4*d - 2*v, 8 = -i*d - 4*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + -522908?\nAnswer: -522904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and -1.4.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**2 - 10*r + 9. Let g be p(9). Let s be 15*((-4)\/(-10) - g). Let u be 1\/(-3) + 8\/s. Is 2 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 2 f, and 1 k when four letters picked without replacement from fwkfkokk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*i**2 - 20 - 13*i**2 + 1136*i**4 - 1660*i**3 + 23 - 1138*i**4 - 18*i**2 wrt i.\nAnswer: -48*i - 9960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-18 - (-27 + 33)) + 19\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-20) + (-54)\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from anabananbbbba. Give prob of sequence nna.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = 79 - 62. What is the remainder when (16\/(-6))\/((-2)\/36) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2258642*a**3 + 2054*a**2 - 595*a?\nAnswer: 13551852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 18\/5 and -65\/226.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 57504 or 56933?\nAnswer: 56933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(325) + 3*sqrt(325)*-2) - (3 + (-3*sqrt(325) - sqrt(325)) + 1))**2 + 1.\nAnswer: -760*sqrt(13) + 117342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -33 + 301*o + 353*o + 20 + 2*o**2 + 10 to the form r*o**2 + y*o + n and give y.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9282*o - 4073682 + 4073682.\nAnswer: 9282*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - -0.01. Let p = 50 + -303. Let q = 249 + p. Is k != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -0*c + 4*w, -2*c = -w - 14. Suppose 0 = 9*i - c - 19. Let q(x) = 2*x**2 - x - 3. Let p be q(2). Solve 0 = k - 2*o - 0*o + p, -i = -o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:05 PM and 12:52 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 341 = -158*x - 7243 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 779 + -773. Suppose -2*p = -n*q + 8*q - 8, 3*p = q - 20. Suppose 24\/7 - 4\/7*r**3 + 2*r**4 - 14*r**2 - q*r = 0. Calculate r.\nAnswer: -2, -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-4\/7)*m)**(-6) assuming m is positive.\nAnswer: m**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 2*g**2 - 4*g**2 - 9*g**2 + 4*g**2. Let m(y) = -3*y. What is m(w(r))?\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from ybsyybbccyjbybys?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and 70950.\nAnswer: 354750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -50 - -172. Let t = -0.156234 + -121.842936. Let a = t + r. What is a rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 27 - 28. Let b = -70 - -81. What is the greatest common divisor of b and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/204*(-4)\/3.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 8*p + 47. Let q be 65\/(-26) - (-6 - -1 - p). Which is smaller: q or 5\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(192)\/sqrt(108)*3)\/(sqrt(32)*2 - (sqrt(8) + (sqrt(8) - -1*sqrt(8)*1))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 1, c: 6, d: 5, o: 2, f: 1, h: 1}. What is prob of picking 2 o, 1 c, and 1 a?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*z - 10*z**4 + z**4 - z**4 wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(405) - ((sqrt(405)*2 - sqrt(405)) + sqrt(405))) + 3)**2 + 1 + 2 + (sqrt(80) + -1 + -1)**2.\nAnswer: -70*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 - 1. Let b(z) = z**3 - 5*z**2 + 4*z - 7. Let t be b(5). Let m = t - f. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 966\/8 - 1\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 19781 divided by -131\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 2*k + 2, 0 = 2*v - 6*v - 3*k + 8. Let p be (0\/(-1) - -2)\/v. Let t = -1.2 + 0.2. Which is the smallest value? (a) p (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - -780119?\nAnswer: 780118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(8)\/sqrt(4))**2 + sqrt(2) + sqrt(2) + sqrt(126)\/sqrt(7) - ((-2 + sqrt(32))*-1)**2)*3.\nAnswer: -54 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(12) + -2 + sqrt(27)*1 + 2.\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -2 - 4) + 1 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19801 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 4*v**2 - 2*v - 1. Determine p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 + -3311233312?\nAnswer: -3311233303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -6, -5*g - 1 - 1 = 4*f. Let o(t) = -5*t - 10. Let n be o(g). Find l, given that n + 2\/3*l**2 - 1\/3*l**3 + 0*l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (8 - 11)*(-2 + 0) - (-1061 - -11). Calculate the highest common factor of v and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0\/1 - (-21)\/7. Let l be i\/2*(-3 + 5). Let b = -3 - -3. Solve -l*o + o = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 3*w**2 - 1. Let b be g(-1). Suppose 0 = 2*j + 2*j - b*x - 10, 0 = -3*j - x. Let n = 7 - j. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes before 5:01 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 64\/256*(-20)\/(-6)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*x + 62 = -3*x + 4*c, 4*x - 5*c - 1718 = -1799 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -42266, 0.07, 2\/13 in ascending order.\nAnswer: -42266, 0.07, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, 5, -0.1121, 2, 3, -0.03 in descending order.\nAnswer: 5, 3, 2, 2\/3, -0.03, -0.1121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3790689315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 173844?\nAnswer: 2, 3, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be 39555\/81 + (-2)\/6. Suppose -182 = 3*q - w. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -2 + -770 + 837.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**2 + 8*h + 20. What is q(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 5*r + 177 + 118 = 0, -3*p + 2*r = -173. Suppose -2*l = f + 1 - 21, -5*f = l - p. Solve -3*j = 2*j + f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -241 + 236. Let p be (-18)\/(-3)*(-4)\/6. Let m be (p - (1 + -2))*-1. Put -2\/7, b, m in increasing order.\nAnswer: b, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence irri when four letters picked without replacement from {r: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7341 + -58805\/8. Let g = b + 903\/88. Calculate the common denominator of g and 8 + ((-3)\/(-4))\/(117\/(-3354)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -8*j**3 + 1660*j**2 - 86096*j - 21632. Let m(f) = -f**2 + 8*f. Let c(a) = 2*m(a) - x(a). Solve c(s) = 0 for s.\nAnswer: -1\/4, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 205188 divided by -1257.\nAnswer: -68396\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 107884 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from nmnnmmmm?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, -406, -4, -1 in ascending order.\nAnswer: -406, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -132186598?\nAnswer: -5\/132186598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**3 + 7*d**2 - 2*d. Let b be (-15)\/2 + 1\/2. Let z be x(b). Does 17 divide 14\/(-49) - (-410)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 936 in 4, -21, 0.2, 2\/17, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4\/5, -1, 8\/283?\nAnswer: 8\/283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 498 divided by -6\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47055 is divided by 15680.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*q + 4516 = -80*q - 1504 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 0 - (-3 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f**2 + 52220961*f + 52220958 = 0. What is f?\nAnswer: -17406986, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 838 and 44617634?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 544*z = 393625 - 439865 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2275079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 207*z - 201*z - 18 = 0. Let f = -0.11 - -5.11. Which is the second biggest value? (a) z (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (66\/(-2200)*-12)\/(((-6)\/3)\/10)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 14750*s - 4. Let a(o) = -8*o + 3. What is -a(j) - f(j)?\nAnswer: -14742*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**2 + 2*l + 6. Let q be o(-6). Let b(c) = c + 20. Let j be b(0). What is the highest common factor of q and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 j, and 2 k when four letters picked without replacement from {z: 5, j: 5, k: 2}.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**2 - 3*q + 2. Let r be g(-3). Suppose 11 + r = -5*y - 3*d, 0 = -3*y + d - 5. Which is the smallest value? (a) y (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -115 + 144. Suppose -5*n - 7 + 62 = 4*l, 0 = n + 2*l - 5. What is the remainder when t is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 22 = -g - g, -g - 31 = -4*m. Let v be 6\/g + (-186)\/(-15). Solve -2*h - 3*a + 1 = -1, 0 = -4*h - 2*a + v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*k - 4*k + 12*k + 0*k.\nAnswer: 43*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -109*k**6 + 12*k**5 - 3878*k**2.\nAnswer: -13080*k**3 + 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrn when three letters picked without replacement from {r: 9, n: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((sqrt(832) + -3)**2 - sqrt(832)) + sqrt(832) + 4.\nAnswer: -48*sqrt(13) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(396) + sqrt(396) + -1)*2)**2.\nAnswer: -96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 0, 0 = u + 4*u - 3*w - 725. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-9)\/6 + 722*(-258)\/(-396). Let w = f - 1394\/3. What is the common denominator of -13\/2452 and w?\nAnswer: 26972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-19\/2)\/r**(1\/8) assuming r is positive.\nAnswer: r**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -195*b**2 - 131*b**5 + 119*b**2 - 67*b**5 + 3*b + 6*b wrt b.\nAnswer: -11880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -47595, -88302, -129013, -169728, -210447?\n\"Answer: -2*o**2 - 40701*o - 6892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 3*c = 2*c + 128, 5*m - 110 = 5*c. Solve -m = -6*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4893506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**2 - 8*x - 17. Let u be a(12). Suppose u - 1 = 3*p. Suppose 0 = 5*o + z - 85, 7 = o - z - p. What is the remainder when 33 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -3, -4\/5, 2, 229, -2, -23546?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 10 = -20. Suppose -4*i = -d*i. Suppose 3*g + x - 2 = 0, g - 3*x = -i*x + 4. Solve u - g + 0 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/126*21)\/((-6)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the second derivative of -q**3\/2 - 10*q**2 - 239*q. Let x(z) = -2*z. Calculate h(x(f)).\nAnswer: 6*f - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -5*k + 48, 4*k + 0*d - 30 = 5*d. What are the prime factors of (90\/25)\/(4\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1927*b*y**3 + 32*b*y**2 - 9*b*y + 2*b - 2*y**3 - 190*y + 2 wrt y.\nAnswer: 11562*b*y + 64*b - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (27\/(-18) - 2)\/(16\/(-5056)*14)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 62 - 60. Suppose -5*n = -3*t + a*t - 5, -3*n + 3 = -t. What is the units digit of -4 + n + -1 - -29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p**2\/11 - 385949184*p\/11 - 18619596578783232\/11 = 0 for p.\nAnswer: -96487296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 286399 + 4*p**3 + 286396 - 572795.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6536 is divided by 880.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gmgmmgmgmcg. What is prob of sequence ggm?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 280\/141 - -2467\/4935. Let r = y - 11\/5. Are 0 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes before 7:59 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3339 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*j - 91 + 31 = 0. Let b(i) = i**2 - i. What is b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -11\/222 and 6\/259.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) 43 (c) -0.5 (d) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 32\/64*(-3 - -1 - -4). Calculate the highest common divisor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1249715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1565 - -5?\nAnswer: 156a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3220\/(-8) + 3\/(-6). Let m = -168 - n. Suppose 4*b = -b + m. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + w = 3*y + 891, 4*w = -3*y - 894. Let u = y - -314. Suppose 2*t - 3*t = -m - 6, 30 = 5*t + 4*m. Calculate the least common multiple of u and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 395 and 237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 57840 = 2057*s + 2545*s + 218*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1625 = 55*m - 60*m. Suppose 0*i + 13*i - m = 0. Which is the second biggest value? (a) i (b) 0.4 (c) 1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 5 = 3*i, 0 = -a + 2*i + 60. Calculate the remainder when a is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 123899666 is divided by 30974915.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 14*f**2 - 46*f**2 + 28*f**2 - 3235 - 331 as p*f**2 + u*f + w and give w.\nAnswer: -3566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is (-51)\/34*((-2)\/9 + (-7437024)\/81) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -322 = -4*u + 142. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 98 divide 8809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 61 and 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*p - 9*p = 3*p - 547998. What are the prime factors of p?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of b**2 - 63*b - 84 wrt b.\nAnswer: 2*b - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o - 8*o + 1277 + 767. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(325))**2*1*-6 + 5 + -1*sqrt(104)\/sqrt(2) + (sqrt(13) - (-3 + sqrt(52)))*5.\nAnswer: -1936 + 53*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 4 = -4. Let r(j) = 7*j + 7. Let t be r(o). Let a be (-10)\/t - 678\/(-21). Calculate the greatest common factor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*f + 37*f + 12*f + 14*f - 53*f + 10*f + 2*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -124.548*-0.85\nAnswer: 105.8658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 11 (b) 4\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*r**4\/2 - 9*r**2\/2 - 3*r.\nAnswer: 3*r*(r - 2)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1449?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(833))**2 + -5*sqrt(272) - (3 + sqrt(17) + 0 + (-1*sqrt(153) - sqrt(153) - sqrt(153))\/sqrt(9) + 3).\nAnswer: -18*sqrt(17) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 517014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -7\/15, -83, -2?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 6, g: 7, y: 4}. Give prob of sequence gyy.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*j + 14*j + 2012041 = 3*u, 0 = -4*u - 2*j + 2682708. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**2 - 5*x + 6. Let d be q(4). Let z be 4\/(-1 - 3\/3). Let k be z\/(-8) + 114\/24. Solve -d*a = 5*c + 31, c + 0*c = -k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -445 or -437?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41310.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 22491, 22495, 22501, 22509, 22519, 22531?\n\"Answer: t**2 + t + 22489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -119 - -144. Calculate the remainder when 49 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/10)\/(-9*(-30)\/(-675))*400\/(-640)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jaxaljajaajxa.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**2 + 2*u - 4. Let n be l(-4). Suppose n*z - 195 = -z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/1930 and 35\/39951.\nAnswer: 399510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:17 AM and 4:22 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**3 + 6*q**2 + 6*q + 6. Let h be i(-6). Let w be h\/(-3)*(-2)\/(-4). Suppose 5*j + 0*b - 176 = -b, -w*b - 170 = -5*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1107275*u**4 + 892894*u wrt u?\nAnswer: -13287300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*q**2 - 3*q**2 + 2*q**2)*(4 + 7 - 7 + 0 + 1 - 3 + (-1 + 0 + 3)*(-1 - 1 + 1) - 10 + 7 - 3).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(700) + 2*sqrt(700))\/sqrt(4) + -1*(1 + sqrt(567))**2.\nAnswer: -568 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1671+0.04\nAnswer: 1671.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 + 13*u. Let f = 8 - 7. Let m(n) = n + 1. Let b(y) = f*r(y) - 5*m(y). What are the prime factors of b(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 2*i**2 - 345*i - 54491. Give p(-100).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58502 is divided by 325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -1176*g + 4446 = 49615 + 23039 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 14291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -264*b + 253*b + 55 = 0. Solve -3*k + b - 23 = -3*p, -9 = -3*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 2*o + 4 - 8 = 0, -5*o = 5*j. Suppose j*f - d - 9 = 28, -2*d = 4*f - 46. Let k = f - -10. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 986 is divided by 191?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/((-114)\/4) + (2627240\/2660)\/22.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**(2\/21))**(4\/13)*s**(-1\/2)*((s*s**(-6))\/s)\/s assuming s is positive.\nAnswer: s**(-3911\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(3 + sqrt(175) + -1 + -5)**2 - 3*1*sqrt(63)*1*-1.\nAnswer: -21*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 14 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be -3 - -4*(0 - -2). Let g = -1 + p. Suppose 0 = 5*h - g*h + 3. Sort 3, -1, h in descending order.\nAnswer: 3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the second derivative of 0 + 5*l + 1\/32*l**4 - 3\/8*l**2 - 1\/16*l**3. Factor i(b).\nAnswer: 3*(b - 2)*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-10)\/2 + (-3)\/(225360\/103210). Let r = d + -1\/939. Is -5 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -1*(sqrt(28) + -5 + 5 - (sqrt(847) + sqrt(847) + (sqrt(847) - (sqrt(847)*-1 + -1)) + sqrt(847) + sqrt(847)))**2.\nAnswer: -28676 - 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 0.125 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-4\/3)\/(x\/x**(-3\/2)))**(-5\/17) assuming x is positive.\nAnswer: x**(115\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/53 or 1?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:50 PM and 3:27 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, k: 1, d: 3, n: 1, g: 6, p: 4}. What is prob of sequence ng?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3068031?\nAnswer: 3, 1022677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -179*w. Let s(f) = -10*f. Give s(z(u)).\nAnswer: 1790*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-2*sqrt(4356) - sqrt(36))\/sqrt(12).\nAnswer: -115*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 313871456 and 7664?\nAnswer: 313871456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111101010010 + 1001111010?\nAnswer: 1000111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -2*i + 1. Suppose -12 = 2*z - 2. Let j be l(z). Let h be (-2)\/11 + 420\/j. Solve 2*b + 28 = 4*q, h + 2 = -5*b + 4*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -77*w - 11*w**3 + 5*w**3 + 76*w.\nAnswer: -6*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 3*z**3 - 10*z + 10*z + 5 + (3 + 1 - 2)*(2*z**2 - 2*z**2 + 2*z**3) in the form i*z**2 + j*z + y*z**3 + r and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 498429204 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.6 - -1.5. Let o = -1.2 + 1.3. Sort 0.3, h, o.\nAnswer: h, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9534927 is divided by 3178307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.05293909 + 0.\nAnswer: 0.05293909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -392*r + 401*r - 102987 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 34 - 32.3. Let o = -0.9 + b. Let q = o + -0.792. What is q rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x + 11*b = 7*b + 19, -b + 1 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g**3)\/g)\/(g\/g**(-27))*g\/g**(7\/4)*g*g\/((g*g\/(g\/(g**(11\/4)\/g))*g)\/g)*g)**(2\/5) assuming g is positive.\nAnswer: g**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find s such that 4*s**2 - 239728*s + 3591844624 = 0.\nAnswer: 29966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d - 4*r - 88, -5*d - 7 = -4*r - 203. Suppose -h - d = -5*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75*h - 5*h = 1524530. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -441914, -441919, -441924, -441929?\n\"Answer: -5*r - 441909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (((6*(sqrt(112)*-2 - sqrt(112)) - sqrt(112) - sqrt(112))\/sqrt(8))\/(sqrt(98) + 3*sqrt(98)*-1 + sqrt(98)))**2.\nAnswer: 400\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*t**6*v - 910*t**6 - 2069*t**2*v - 210*t wrt t.\nAnswer: -480*t**3*v - 109200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*b + 29 = -121. Sort -3, -1, b, -13.\nAnswer: -13, b, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 864 or -0.1?\nAnswer: 864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 + -3. Suppose 68 = 4*c - h*c. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, 7 in decreasing order.\nAnswer: 7, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78*g + 49*g - 115*g + 12*g.\nAnswer: -132*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-610*v + 617*v - 482*v)*(3 - 3*v - 3)*(-5*v + 2*v - 7*v) to r*v**3 + w*v**2 + k + m*v and give r.\nAnswer: -14250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 9969 (base 15) to base 3.\nAnswer: 1122120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 9:39 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 209 and 1232.\nAnswer: 23408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve b + 14 = -2*s, 36*s = 3*b + 13 - 181 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.56 - -0.61. What is the smallest value in j, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the second derivative of o**5\/20 - o**4\/6 - o**3\/6 + o**2 + 8*o. Calculate h(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of u**3\/6 - 3*u**2\/2 - 5533*u. Let g(x) be the third derivative of x**4\/24 - x**3\/6 - 2*x**2. Determine 4*g(a) - m(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.6698419 grams?\nAnswer: 669841.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 418 = u. Let y = u - 130. Suppose 4*m - 121 = -3*x, -3*x = -x + m - y. Calculate the remainder when x is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 5*i + 72. Calculate j(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 8*j**4 + 9*j**2. Let n be (2 - 0)\/(2 + 0). Let v(s) = -s**4 - s**2. Let d(c) = n*x(c) + 5*v(c). Find the third derivative of d(u) wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 + 28. Which is the biggest value? (a) -5\/3 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -17 + 20. Find the common denominator of 215\/70 + (m - -1) and 83\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1589480 is divided by 40728.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/11? (a) 2\/3 (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*q - 2*q - 3*q - 12*q - 9*q.\nAnswer: -49*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26054, 25938, 25824, 25712, 25602, 25494?\nAnswer: 25388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o + 2*o - 5*o + 2*o + 2. Let g be y(-10). Suppose -10 = -2*x + t - 2, 2*t - g = -4*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in -0.4, -2\/11, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 6314265 and 13083.557?\nAnswer: 6301181.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 291, 561, 1145, 2151, 3687, 5861, 8781, 12555?\n\"Answer: 18*l**3 + 49*l**2 - 3*l + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -3*w**2. Let v(s) = -s**2 + 4*s**2 + 2*s**2 - s**2. Determine v(p(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is v in 3*v**2\/2 - 52797*v\/2 + 737982 = 0?\nAnswer: 28, 17571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1403 = -13*m + 5628. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*n - 13*n + 13*n + 34*n**2.\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 704*z + 4226. Determine a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 11079 divided by 4\nAnswer: 11079\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y - 1202*x = -1205*x + 39, 65 = -5*y + 4*x for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 96673, 96671, 96669, 96667, 96665, 96663?\nAnswer: 96661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/(-30))\/((-170)\/(-50)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -70 + 118. Let y be (3 + (-9)\/2)\/(2\/b). Let w = y - -54. Calculate the smallest common multiple of 68 and w.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -3*z**2 + 9 + 2*z**2 + 4*z**2 - z**2 + 15*z. Is n(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 - (-3 + 6) - -256. Suppose -k + 819 = 5*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -957*v + 28 = -950*v. Suppose -2*d + v*n + 560 = -2146, n - 5412 = -4*d. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -205*o**2 - 20*o + 88. Let y be a(5). Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 minus -1396?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4605719?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (17 - 31 + 14 + 26700*y + 71838*y)*(y + y + 0*y).\nAnswer: 197076*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -134 (base 13) to base 2.\nAnswer: -11010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 14, 4, 309, -1 in ascending order.\nAnswer: -1, 0, 4, 14, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 0) + (-4 - (-2 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*(v\/(v\/v**5))\/v)*v**(1\/3)*v*v)\/(v**(-2\/13)*(((v\/(v*((v\/(v\/(v**(-2\/5)\/v)*v*v)*v)\/v)\/v*v)*v)\/v*v)\/v)\/v) assuming v is positive.\nAnswer: v**(-763\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 4.86181 times -0.2\nAnswer: -0.972362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (105 - 33)\/(-24) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 42899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -47, 35, 0, 1 in increasing order.\nAnswer: -47, 0, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1585)\/20 - (0 + 1\/(-4)). Let p = 400 - h. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in w + 7851 - 7851 - 2473*w**2.\nAnswer: -2473*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**3 + 8*b**2 + 6*b - 1. Calculate n(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 156\/(-1300)*(46 + -66)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 66*b**2*l**2 - b**2*l - 255*b*l**2 - 5034*b - l**2 wrt l?\nAnswer: 132*b**2 - 510*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 32*x**2\/5 - 36*x + 252\/5.\nAnswer: 4*(x - 3)*(8*x - 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1923, -7174, -15749, -27642, -42847, -61358, -83169?\nAnswer: -108274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (2*z + z - 2*z + (2*z + 3*z - 7*z)*(-1 + 3 - 1))*(823 - 1563 - 1610) as p + r*z and give r.\nAnswer: 2350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hiippiih. Give prob of sequence iip.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 75349071 divided by 4221?\nAnswer: 17851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**5 - 1392*y**4 + 322942*y**3 - 24972944*y**2 - 322944*y + 24974336.\nAnswer: 2*(y - 232)**3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 8*f + 20 = -0*f, 30 = 5*o - 92*f + 87*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ru when two letters picked without replacement from {v: 1, s: 6, u: 4, e: 2, x: 2, r: 4}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -238*k**2. Let b(h) = -435*h - 2. Determine b(t(r)).\nAnswer: 103530*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 4c732 (base 13) to base 7\nAnswer: 1130335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -5*m, 11 = 4*m + i + 4. Let v be m\/(-3)*-5 - 3. What is the second derivative of 2*u + u + 4*u**2 - 2*u**3 - 4*u**v wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 - (6 + 5 + 6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 35748000 to the nearest 100000.\nAnswer: 35700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8033*x*y + 10879*y wrt x.\nAnswer: 8033*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3855 plus -3?\nAnswer: -2.6145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o + 2. Let f = 3 + 0. Let h be j(f). Let u be 1 - (2\/(-2) + 2). What is the second biggest value in 1, h, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the third derivative of -149*p**7\/210 - p**5\/60 + 988*p**3\/3 - 3139*p**2. Find the third derivative of b(v) wrt v.\nAnswer: -3576*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((0 + 5 - 2)*(-2 + 3 - 6) + (0 - 2 + 4)*(3 - 3 + 2))*(36*y - 52*y - 68*y) to the form x*y + f and give x.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1430242 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -14 + 14 - 3*l**3 + 3*l**3 - 15*l**3 - l**3 + (-5*l**2 - 6*l**2 + 4*l**2)*(l - 2*l + 4*l) as y + q*l**2 + w*l**3 + c*l and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2670 and 21510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -17*o**2 - 24*o + 13. Let r(z) = 14*z**2 + 22*z - 8. Let y(a) = -4*c(a) - 5*r(a). Factor y(v).\nAnswer: -2*(v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 6157344 + 2?\nAnswer: 6157346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = 5*i + 2. Suppose -b = -i*x + 1, -8*b + 16 = -4*b + 4*x. Solve 3\/4*c**4 - 9*c**b - 81*c + 81\/2*c**2 + 243\/4 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 21 - 825573*r - 21 + 784703*r to n + t*r and give t.\nAnswer: -40870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z + 5*z - 3*z)*(319 - 18 - 139).\nAnswer: 162*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -68, -161, -394, -833, -1544, -2593, -4046?\n\"Answer: -11*m**3 - 4*m**2 - 4*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1868928, 3737878, 5606828, 7475778?\n\"Answer: 1868950*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 5*b - 36 = -0*b, -4 = p + 3*b. Solve p = -4*k - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**2 - 4*o. Let v be g(6). Suppose -2*b - 3*p + 8 = 0, p = -6*b + 3*b + v. Suppose -z - 54 = -b*z. Calculate the remainder when 51 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 2*k + 10, 5*r + 0*k - 3*k - 15 = 0. Let f(j) be the third derivative of -8*j**2 + 0*j**3 + r*j + 1\/12*j**4 + 0. Let z(y) = 2*y. Determine f(z(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 2 f when four letters picked without replacement from zffzjjfz.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5\/3, 3, 1\/4, 0.1, -3, -427?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -2*k - 8. Let c be f(-4). Suppose 0 = -c*o + o. Solve 4\/5*x**3 + 2\/5*x**4 + 2\/5*x**2 + 0*x + o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0024822 to 5 decimal places.\nAnswer: 0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the third derivative of -1\/6*s**4 + 0*s**3 + 4*s**2 - 1\/30*s**5 - 1\/168*s**8 + 0 + 1\/20*s**6 + 0*s + 1\/105*s**7. Suppose d(l) = 0. What is l?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 733668 and 1092?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pio when three letters picked without replacement from {l: 1, p: 2, o: 6, i: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 198b830 (base 14) to base 4.\nAnswer: 300132303102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-9)*(-201)\/804\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*t - 45*d + 49*d - 54 = 0, 5*d = t + 42 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21222 and 122813286.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/96 and -25\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = r - 9, 6*r = 9*r + 3*j - 12. Suppose 4*g - 26*b + 23*b = -412, 0 = 5*g + r*b + 515. Is g less than -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 13\/4 - 6\/24. Let t be -1*n - -1*6. Solve -t*r = 5*c - 5, 5*r + 0*r - c = -29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 2*u. Let i be (-2)\/((0 + -2)*-1). Let y = 6.4 - 1.4. Which is the nearest to u? (a) y (b) -1\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -4*t + 6887307 + 231947, -3*t + 3*s + 5339442 = 0. Let d = 891682390\/501 - t. Let u = 1\/334 - d. Calculate the common denominator of -67\/8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9806 - -9839. What is the remainder when 281 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/9)\/(2\/(-63)). Suppose 3*u + 21 = 3*l - 0*u, 4*u = -3*l + w. Suppose -4*a + 44 - 16 = 0. What is the greatest common factor of l and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, d: 1, u: 1, e: 1, c: 5, q: 4}. What is prob of sequence qz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 213949.9 litres to millilitres.\nAnswer: 213949900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 80201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 4*o - 1011 = 0, 1367 = 4*b + 3*o - 2*o. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 230*z**3 - z**2 + 101*z - 102. Determine b(1).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t**(1\/4)*t))\/t**6)**(-9) assuming t is positive.\nAnswer: t**(225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -334936951*r + r**2 + 334936951*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -238 (base 9) in base 8?\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + (7 - (22 - 9 - 10)) + 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (539 - 539 - 8*s)*(s - 2 + 2) + (-2*s + 3*s + s)*(2*s + 1 - 1).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-8\/3))**(-1\/9)\/(t**(-22))**21 assuming t is positive.\nAnswer: t**(12482\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -10*x. Let u(v) = 3*v + 98*v**2 - 4*v + 1 - 96*v**2. Let w(s) = -4*s**2 + 6*s - 6. Let t(c) = -12*u(c) - 2*w(c). Give a(t(d)).\nAnswer: 160*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 3, d: 13, f: 2, b: 2}. What is prob of sequence ffba?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 14 + -2 - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10788423691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - -16. Let k(w) be the second derivative of 5*w**3\/6 + 69*w**2 + w - 3. Let z be k(-27). Calculate the greatest common divisor of o and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -55*w - 881. Calculate i(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -424049857 + 3534031567369\/8334. Let a = -136\/463 - c. Find the common denominator of a and -53\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4*1 + (-8 - -6). Differentiate 10*d - 7 - 9*d**g - 10*d + 0 with respect to d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2855\/3 - -965. Factor -8\/3*a + q*a**2 + 0 - 50\/3*a**3.\nAnswer: -2*a*(5*a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13221 + 38761. What is the ten thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -3*n**4\/5 + 1332*n**3 - 19710*n**2 - 297300*n - 826875 = 0.\nAnswer: -5, 25, 2205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 6*s - 3. Let g(r) = -3*r + 2. Let z(w) = -9*g(w) - 4*t(w). Let l(n) = 3*n**2. What is l(z(h))?\nAnswer: 27*h**2 - 108*h + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*n - 17*n + 5*n + 7*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -27942281.5368 less than -4?\nAnswer: 27942277.5368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 3*n = -5, -3*d + 2*n = -4*d - 1. Let v be 1 - (d + 3 + -4). Calculate the greatest common factor of 6 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 2*k - 980. Let o be ((-8)\/k)\/(-2 - (-21)\/10). Which is the closest to 0.1? (a) o (b) 0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3*(2 + 1\/(-1)). Let g(t) = 6*t + 19*t**2 + d - 18*t**2 + 1. Determine g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16 - (-1476)\/(-90))*((-306)\/(-138) + -2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 86 divide 6693294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 - 6*o**2 + o + 8. Let g be p(6). Calculate the greatest common factor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 158 - 8. Let o = p - 149. Suppose 2*z - 1 - 3 = 0. Does o = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -2, 128, -1 in increasing order.\nAnswer: -5, -2, -1, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -2*h**2 + 3*h + 112. Let f be q(8). Solve 0 = -2*b + f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3338 is divided by 239?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000001953 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(11) + sqrt(33)\/sqrt(3) + (sqrt(704) - (sqrt(704)*-2)**2 - sqrt(704) - sqrt(704)).\nAnswer: -2811 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14338 + -14320. Suppose 3*w - 29 = 3*o + 10, -61 = 4*o + 5*w. Let t = o - -29. What is the remainder when h is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the second derivative of 0*j**3 + 0*j**5 + j**2 + 20*j - 1\/2*j**6 + 0*j**4 + 0. What is the derivative of z(h) wrt h?\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {t: 1, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -57, 5, 2, -49 in descending order.\nAnswer: 5, 2, -49, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 6*r = r - 11, -3*r - 13 = -d. What is the third derivative of 6*k**6 + 12*k**6 - k**d + 24*k**2 + k**4 wrt k?\nAnswer: 2160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 minus 7.772?\nAnswer: -7.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2324, 2331, 2342, 2357, 2376?\n\"Answer: 2*q**2 + q + 2321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*j**2 + 9 + 5*j**2 - 15212*j - 15*j**2 - 8 + 3*j**2.\nAnswer: -2*j**2 - 15212*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -553 times 0.1?\nAnswer: -55.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 90 - 93. Let w(p) = -2*p**3 - 7*p**2 - 4*p + 3. Let q be w(b). What is the greatest common divisor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9091788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -55 - -1. Let f = y + -56. Is (f\/15)\/(6\/(-63)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2\/913, 0.3, -0.1, -9, 1.85?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17 - 24 + 21*w**3 - 44 - 44.\nAnswer: 21*w**3 - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1601 + -1096. What are the prime factors of v?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 12 = 2*v. Let u = -16 - -25. Solve v = t + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 585625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 240214*d**5 + 5*d + 2077?\nAnswer: 4804280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sucuuucucuuuuuusu. What is prob of sequence uucs?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.02 times 40611.225\nAnswer: -812.2245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 6644 = 2*u + 6631, -3*u = -5*h - 29 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5778010867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:43 AM and 5:26 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -530*n. Let p(m) be the second derivative of -m**4\/4 + 459*m. Determine p(u(a)).\nAnswer: -842700*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-2505)\/(-15030)*(-236)\/(2\/(-1))\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*d = 8*d + 75075. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2 - -2) + -2 + 6. Let d be (1 - 0\/(-3)) + f. Solve 4 = d*n + 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -801.3 + 520.6. Let o = 281 + d. Which is the closest to -28? (a) o (b) -1\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor t**2\/9 - 3871*t\/9 + 7738\/9.\nAnswer: (t - 3869)*(t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 26*j - 15*j + 44*j to w + a*j and give a.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-11)\/5 - -1)\/(2172\/(-180) - -12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 234263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 4*-1086\nAnswer: -4344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.26, -1\/3, -4.6 in increasing order.\nAnswer: -4.6, -1\/3, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 865 - 863. Suppose 7630 = o*r - 3*s, 4*r - 15288 = -20*s + 19*s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 8\/(-8)*10\/(-6)*-21. Which is smaller: -101\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) -3 (c) -0.1383381\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -14\/3 (b) 3 (c) -4 (d) -114 (e) 0.4 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1647826*r**3 - 5*r + 22475997 wrt r.\nAnswer: 4943478*r**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -490357\/20 - -24523. What is the common denominator of n and 173\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 + (11 - 55 - -117)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -65\/76? (a) -2\/7 (b) 1\/3 (c) 2.2 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 18*j + 1086. Let s be k(-60). Let b = -17 - -35. What is the greatest common factor of b and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 60 and 478785540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3143106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be 104\/18 - (-174)\/783. Find the third derivative of 3*d - 59*d**3 - 35 + 35 - 51*d**2 + j*d**4 - 2*d**4 - 5*d**4 wrt d.\nAnswer: -24*d - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 + 1 = 3*n. Let g be (1\/1)\/((-2)\/6). Let r = 0 - g. Solve -n*w = -r*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2203521.\nAnswer: 3, 419, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c + 2*c - 4*c)*(0 - 3 - 4)*(-14 + 3 - 4).\nAnswer: 105*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:53 AM and 11:39 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - 4 + 9 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -235 (base 12) to base 3\nAnswer: -110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((sqrt(171)*3 + sqrt(19))*2)**2.\nAnswer: 7598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/4*(-83 - -1). Let w = b - 20. Let s = -3 - -3.1. Is w equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -3*d - 4. List the prime factors of (-55)\/(d - 0\/2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 - (14 + -7 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1552, 6755, 15418, 27535, 43100?\n\"Answer: -g**3 + 1736*g**2 + 2*g - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 4*(sqrt(102) + 5*sqrt(102)*-1)\/(sqrt(6) + (sqrt(726) - sqrt(726)*-1)))*3.\nAnswer: -9 - 48*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -3692a7c (base 13) in base 10?\nAnswer: -16971421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14941*0.05.\nAnswer: 747.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2243 - 1319. What are the prime factors of h?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 636 * -282.759.\nAnswer: -179834.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.58 + 0.7. Let w = 1.17 - v. Let k = w - 0.05. What is the closest to k in 5, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 4*m + 4*j = 355, -4*j = -2*m + 114. Let v = -470\/7 + m. Let i = -3.2 - -0.2. Which is the third biggest value? (a) v (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**3 - 5*d**2 - 8*d + 15. Let p = -67 + 73. Let z be r(p). Suppose -61 = -3*j - 4*w, -60 = -z*j + 4*w - 7*w. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 10\/(-4)*(-30)\/25. Suppose 37 = -n - w. Let j = n - -56. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 630, 630, 628, 624, 618, 610?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and 0.02641.\nAnswer: -0.13205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**6\/r**(-2\/27))\/((r*r**(4\/3)*r)\/(r*r**(1\/8))))**26 assuming r is positive.\nAnswer: r**(10855\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (23\/((-460)\/168))\/(-3*1\/10)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -3*z - 14. Suppose -3*v + 28 = -2*v - 5*c, -4*v + c = -150. Calculate the remainder when v is divided by x(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the third derivative of 1\/60*k**5 + 0*k**3 + 0*k + 0 - 1\/240*k**6 - 1\/48*k**4 + 2*k**2. Factor w(u).\nAnswer: -u*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 742.2225t to nanograms.\nAnswer: 742222500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 5413?\nAnswer: -5\/5413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -493 = 4*p + 3*v, -2*p + 4*v = 255 - 3. Let s be p\/(-44) + 4\/22. Let n(i) = 6*i - 6. Calculate the remainder when 45 is divided by n(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17602184711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -7481 divided by 13\nAnswer: -7481\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -755.4 rounded to the nearest ten?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (19 + 21 + -32 + -31)*(-2 - 0)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1052, 2, -8, 5, 1, -2.\nAnswer: -1052, -8, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes after 10:15 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1120 in -0.5, 1\/3, -4, -0.19, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**3 + 9*d**2 - 36*d + 3. Let u be i(3). Sort -5, u, -3, 21 in descending order.\nAnswer: 21, u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(352)*1 + (-2*sqrt(22)*-2 - sqrt(22)))\/(-2*sqrt(288) + sqrt(32)).\nAnswer: -7*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 192514 is divided by 4276?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 16923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be (14 - 5) + -7 + -3. Let m = -36 + 31. What is the second biggest value in a, 0.4, m, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 24 = 4*l, 2*c - 7 = -10*l + 5*l. Suppose -2*o = l*o - 60. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -15330000 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-1))**41*(s\/s**(-1))\/s**(-2))\/(((s*s**(-1\/9)*s)\/s**1)\/(s**(-2))**(-38)) assuming s is positive.\nAnswer: s**(343\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2529 + -2526. Let p = 1.5 - 3.5. Which is the second smallest value? (a) p (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a = 80, -2519*a - 36 = -3*x - 2516*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l**2 + 0*l**2 + 2*l**2)*(-2*l**2 - 3*l**2 + 6*l**2)*(5 + 3 - 4).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4532 is divided by -28*1\/6*(-180)\/40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 424.58362 rounded to one dp?\nAnswer: 424.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*v**2 + 4*v**2 + 4*v**2 - 5*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the third derivative of -13*h**6\/24 + h**5\/30 - h**4\/24 - h**3\/3 - 2*h**2. Does 10 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36 - 17. Suppose -6*p = -149 - o. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 - -12. Let c(a) = 6*a - q*a + 2*a. Let t(i) = -4*i. Determine c(t(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -5*r**2 + 28*r + 36. Let m(l) = -5*l**2 + 27*l + 34. Let h = -126 - -129. Let c(t) = h*m(t) - 2*f(t). Solve c(q) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -13.84 + 14. Let u = -1.84 - b. Is 2\/7 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -2*p - 4. Let b be d(-3). Let v = -40 + 141. Suppose b*j - v = 205. What is j rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 2*n = 9431 - 3159, 5*y + n - 31338 = 0. What are the prime factors of y?\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1350, 5381, 12104, 21519?\nAnswer: 33626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 6:20 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1303, 989, 3233, 5405, 7481, 9437?\n\"Answer: -4*t**3 + 2320*t - 3619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the second derivative of -9*q**7\/14 - 27*q**6\/10 - 9*q**5\/5 + 16*q**4\/3 + 32*q**3\/3 + 8*q**2 + q - 16. Solve p(v) = 0.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -122, -239, -354, -467, -578, -687?\n\"Answer: w**2 - 120*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -157 + 67 + 90 + 247*c**2.\nAnswer: 247*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3228568 - -0.7.\nAnswer: -3228567.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -23*g + 33 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13048 divided by 932.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-204)\/748 - (-4 + 6 + -1 + (-371)\/308)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3 + 3)\/(-1))\/(2 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -7976 * 1.5\nAnswer: -11964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1503055905 to the nearest integer?\nAnswer: 38769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 43314129 smaller than 43314111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**3 - 7*g**2 - 10*g + 2. Calculate x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 140300, 280605, 420912, 561221, 701532, 841845, 982160?\n\"Answer: i**2 + 140302*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11121869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.02124 + -0.17946. Round i to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-27 - (-9 + (3 - -4) + -3)) + (-28 - -24).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of -7*w**4\/24 - 7*w**3\/6 + w**2 - 8. Let n(p) be the second derivative of l(p). Differentiate n(d) with respect to d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange v**2 + 2*v - 7339 - 4*v**2 + 7430 to r*v**2 + q*v + i and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 2*d = 1003, 319 = -5*o - 5*d - 691. Let u = o - -485. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 184034187?\nAnswer: 3, 47, 48341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*c = 12 + 88. Let x(i) = -i**2 + 6*i - 4. Let l be x(6). List the prime factors of (c\/l)\/((-3)\/(-18)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 8 = -5*b, -4*b + 10 = -3*j - 1. Suppose b*v = -v + 33. Suppose 3 = 2*n - 15. Solve -n = 5*s + 3*c + v, -25 = 5*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the first derivative of -k**4\/24 + k**3\/18 + k**2\/12 - k\/6 - 22. Factor s(a).\nAnswer: -(a - 1)**2*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -1 + 4 + -38 + 21 + -7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bz when two letters picked without replacement from dgbdzqsgs?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:25 PM and 6:34 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of -311*a**3\/6 + a**2\/2 + a. Is f(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 169 - -80. Suppose 2*t = 4*a - 192, 2*t = -4*a + k - 65. Suppose -v = -4*s + a, 0*s = -3*s + 2*v + 29. Solve 2*w - 3*d = -s, 0*w + d - 26 = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -292292433*n**5*t**3 + 109*n**2*t**3 + 380534*n**2*t**2 - n*t**3 wrt n.\nAnswer: -17537545980*n**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - q = h + 1, 4*q - 5*h = -6. Let t = 5 + q. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*(3*sqrt(1408) - sqrt(1408)))\/((sqrt(2) - (1*sqrt(32) - sqrt(2))) + (sqrt(2) - sqrt(4)\/(sqrt(8)\/sqrt(4)))))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -955*d**3 + 17*d**2 - d + 14. Let j(k) = 479*k**3 - 9*k**2 - 8. Let q(c) = -7*j(c) - 4*s(c). Find the third derivative of q(t) wrt t.\nAnswer: 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 292275.\nAnswer: 2\/292275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1004 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -45083725*j**6 - 147*j**2 - 50312*j + 1 wrt j?\nAnswer: -5410047000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -2. Let o = 20319 + -20314. Which is the closest to q? (a) o (b) -17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 80? (a) -1805 (b) 4.8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.102 and 0.31379755.\nAnswer: 0.41579755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -54*s**2. Let h(b) = -19*b. Determine h(p(i)).\nAnswer: 1026*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**6\/(((o**0\/o)\/o)\/o)*(o**1)**37)\/((o**(-3)*(o*o**2\/o)\/o)\/(o*o\/((((o\/(o*o*o\/(o*o**(2\/3)*o)))\/o)\/o)\/o))**(-7\/3)) assuming o is positive.\nAnswer: o**(341\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 4:29 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -7*n**2 + 2780 - 2780. Let x(p) = 3*p + 16. Give x(o(g)).\nAnswer: -21*g**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 41*o**2 - 10*o - 6. Let d be x(-1). Which is smaller: 41 or d?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 21 * 11.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*l**4 - 568356*l**3 + 3*l + 2676091?\nAnswer: 8*l**3 - 1705068*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 89bc (base 13) to base 5\nAnswer: 1104002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.5419 + -0.0399. Let y = x + 0.498. Sort -117, y, 5, 0.4.\nAnswer: -117, 0.4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-212)\/159)\/(1\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h*h**(-4\/9)*h)\/h)**(-43))**(8\/19))**(-5\/7) assuming h is positive.\nAnswer: h**(8600\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**2 + 214*z + 2027. Let w be q(-10). Which is the fourth biggest value? (a) 1\/6 (b) w (c) 0.5 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 7, 4 in descending order.\nAnswer: 7, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 488, 4287, 14602, 34691, 67812, 117223?\n\"Answer: 543*u**3 - 2*u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**2 + 14. Calculate i(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1111, 1113, 1125, 1153, 1203, 1281?\n\"Answer: o**3 - o**2 - 2*o + 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -4*q**2 + 18*q - 19. Let d(j) = -3*j**2 + 17*j - 18. Let o(x) = 5*d(x) - 4*m(x). Let r be o(-15). Solve -b - r = -4*n, -2*b + 3 = -n - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 37*z - 73*z + 144. Which is greater: z or 0.087?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**5 - 15120*m**4 - 28682444*m**3 - 399334320*m**2 - 1395081842*m.\nAnswer: -2*m*(m + 7)**2*(m + 3773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = 4*p - 5*v, -5*p + 6*v - 10 = 8*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(2\/(-7)*(-70)\/80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -147722 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (10*d + 8*d - 6*d)*(0 + 0 - 9*d) to f*d**2 + n*d + h and give f.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -38*k**2 - 2*k + 1. Determine t(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 141 + 91 + -199 + -111\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) - (3 + 2*sqrt(1584))) - (sqrt(1584) - 6*(sqrt(1584) + 3)) - -6*(1*sqrt(1584)*1 - (sqrt(1584) + sqrt(1584) + -2)*-4))**2.\nAnswer: -39528*sqrt(11) + 5894793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/19? (a) 0.1 (b) -7806555 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -328*s**5 - 12*s - 2*s**3 - 334*s**5 - 6*s - 3 + 655*s**5 wrt s.\nAnswer: -140*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 6*s**3 - s**2 - s + 2. Let t(w) = w**3 - w + 1. What is -m(d) + 3*t(d)?\nAnswer: -3*d**3 + d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 634830 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (261*p**2 + 5*p**3 - 261*p**2)*(3*p + 3*p - 4*p) in the form s*p**4 + m + r*p + c*p**3 + f*p**2 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - w**2 - 2*w + 2. Let z be l(2). Solve 4*i = 4*g + 10 + 2, -4*g = i + z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1 and -28.6.\nAnswer: -2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 + -14. Let d = -24 - -14. Let j = d - s. Which is the second smallest value? (a) 0 (b) -1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (12\/(-24))\/(532\/(-16)). Does r = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -485\/52 + 144\/13. What is the common denominator of j and 2\/(3 - -1)*13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -248, -242, -232, -218, -200, -178?\n\"Answer: 2*h**2 - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*v - 4*v + 4*v + (-2 - v + 2)*(-4 + 3 - 1) - v + 0*v + 3*v + 1 - v - 1 + 0 + v + 0 + 2 + v - 3*v + 4*v.\nAnswer: 11*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-d - 2*d + 2*d)*(-22 - 210 + 123) to the form h*d + j and give h.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 16, -5, -6 in increasing order.\nAnswer: -6, -5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 881*k = -10154 + 32179 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3*8\/(-6) + 0. Suppose -y*w = w - 10. What are the prime factors of 11 + (w - 0) - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 245536.32 months?\nAnswer: 20.46136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -71136608 divided by -76?\nAnswer: 936008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 162 and 1314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from ucdgddudcudcgucz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 5*a - 1180 = 0, -836*a + 838*a = 6. Solve 24 = -1169*g + q*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25789803901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 22 greater than or equal to 256\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b + 3*y = 14, b - 21 = 6*b - 4*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 507556768?\nAnswer: 2, 97, 163517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -0.3, -3, 2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -124*l = 55*l - 68020. What is the remainder when 789 is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**2 - 7*q - 12. Determine y(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*l**4 + l**4 + 2*l**4 - 3*l**4 - l**4 - 3*l**4 + 3*l**4 - 4*l**4 + 2*l**4 + (-8*l + 2*l - 3*l)*(-2*l**3 + 2*l**3 + l**3).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, c: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3856045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(3\/2)\/j*j)\/(j*j**(-9)\/j) assuming j is positive.\nAnswer: j**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -5*t**3 - 24*t**2 + 43*t - 41. Let r(z) = 2*z**3 + 8*z**2 - 14*z + 14. Let m(d) = 3*a(d) + 8*r(d). Is m(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -w - 8, 2*q + 3*w = 20. Suppose -10*o = -q*o + 51. Let m be -1 - (-4 - (4 + o)). Which is the nearest to 0.1? (a) 0.3 (b) m (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4705 is divided by 77.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be (11\/18909)\/(34\/360399). Let c = s + 1\/3247. Calculate the common denominator of c and 3*10\/99 - -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 127 - -8. Let z = y - 48. Let r = -87 + z. What is the closest to r in -3\/2, -5\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + 4*f**2 - 3*f. Let j be u(3). Let q = -18 - -15. Put 1, j, q in decreasing order.\nAnswer: 1, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 - 6. Let b be 6*(6\/(-16))\/(17\/68). Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 0 + ((-486)\/8)\/(-3) and 2\/(-7) - 236\/(-56).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -67720 (base 9) to base 8.\nAnswer: -127776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 6 = 0, -5*d - 30 = -4*f + 2*f. Suppose -f*i = -4*i - 48. Solve i*c + 21 = 5*b, -2*c + 7*c + 10 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00004748 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*q - 2*a + 125 + 33, 5*a - 108 = -3*q. Calculate the highest common divisor of 205 and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 - -4343?\nAnswer: 4345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-7800)\/(-250) + (-1)\/5 is divided by 44\/5 + 0 - 33\/(-165)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the second derivative of 11*z**4\/6 - z**3\/3 - z**2 + 3*z. Does 23 divide x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -743, -741, -739, -737?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 8*x**2 - 5*x - 2. Let r be b(-3). Suppose t + 2*d = 30, -2*t = -0*t - d - r. What is the remainder when t is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kmyk when four letters picked without replacement from dymydykmky.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - ((7 - (-4 - 1)) + -5) - -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n = 3*t - 3 + 7, 3*n = -3*t - 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 - -8. Let w(p) = -3*p**2 + 3*p + 3. Let k(q) be the second derivative of q**4\/2 - 5*q**3\/6 - 5*q**2\/2 - 10*q. Give x*k(i) + 5*w(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00103372 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 8, p: 4, a: 5}. What is prob of sequence daa?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0 + -4 + -2 + 0 + 20\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5 + -17. Let j = b + 12.00000086. Round j to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**2 + 7*g - 11. Let o(f) = 2*f**3 - 7*f**2 - 7*f - 4. Let r be o(8). Let v = -494 + r. Let s(k) = -2*k + 3. What is v*s(p) + 6*i(p)?\nAnswer: 6*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8347166, -8347239, -8347312, -8347385, -8347458?\nAnswer: -8347531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 33 - (-10 + (41 - 39))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -511 - 119. Suppose 1988 = g + h. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 44.4 - 44. Put -2\/17, 1, g in decreasing order.\nAnswer: 1, g, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -30129*i**6 - 3*i**2 - 2061.\nAnswer: -3615480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v**3 - 8*v**2 + 17*v - 66. Let g be l(7). Sort -6, g, -5 in increasing order.\nAnswer: -6, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:56 AM and 10:40 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -14634 - -214242?\nAnswer: 166305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2754 and 1224.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Total of -15884142 and 0.\nAnswer: -15884142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-26)\/40 - (-6)\/8. Let l(w) = -2*w**2 + 13*w - w**2 - 4 - w**2 + 3*w**2. Let i be l(13). What is the second biggest value in i, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -32\/13 and -24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 4*i + 28, -2*i + 7 = u + 2*i. Let a = 10 + u. Suppose -289 = -5*w + 46. Calculate the remainder when w is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y**2 + 4*y - 4. Let q(v) = -v**2 + 5*v + 1. Let u be q(6). Let a be n(u). Let x(p) = 4*p**2. Does 2 divide x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 33885 and 3514?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 20*b**2 - 1. Let z be f(-2). Let v = z - 54. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -2*n. Let q(x) = -2*x**2 + 18*x - 34. Let t be q(6). Let w(p) = -160*p**2 + 280*p**2 - 141*p**t. Give b(w(o)).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*r - 81 = 1092. Let a(v) = -v**3 + 3*v**2 + 4*v + 4. Let y be a(4). Solve 5*s - r = -2*w + w, 4*s - 4 = y*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 827424 a multiple of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73*j**3 - 1 + 5 + 0 - 150*j**3 - 436*j**3 - 2.\nAnswer: -513*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 14946\/5*o**2 + 294\/5*o**3 + 57434*o + 2\/5*o**4 + 1245876\/5.\nAnswer: 2*(o + 6)*(o + 47)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 91*g. Let s(n) = 300*n. Let k(q) = -10*s(q) + 33*v(q). Let w(z) = -62*z**2 + 26. What is w(k(c))?\nAnswer: -558*c**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = 3*o + 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -262*n - 252*n + 59*n - 79*n.\nAnswer: -534*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 23099 - -6?\nAnswer: 230a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 592538161 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7.1 + 5.1. Let h(r) = r + 4. Let u be h(-6). Let d = u + 2. Is v greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8.1468239 to one dp.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0.5, 2\/69, -3 in descending order.\nAnswer: 5, 0.5, 2\/69, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:17 PM and 5:52 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + (-23 - (-17280)\/513)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*u + 5*u - 4*u + 2*u - 2*u + 2*u + (-3 - 2 + 3)*(-u - u + 4*u) + 946 - 946 - 52*u - 1 - 6*u + 1 to the form j + h*u and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 171687688 and 253809?\nAnswer: 1545189192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.1, 0.07, 13, -5, 0.5 in increasing order.\nAnswer: -5, -1.1, 0.07, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -48 + 18 + 18 + 12 - 901*v to i*v + h and give i.\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -53.8997 - -54.91. Let g = -1.059 + b. What is g rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, l: 1, w: 4, y: 6}. What is prob of picking 1 w and 1 l?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - -20) + -25 + (1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the third derivative of -j**6\/360 + j**5\/18 + 11*j**4\/72 - 81*j**2. Let k(d) = 0. What is d?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 4*r - 22 = 0, 5*k + 2*r + 0 - 2 = 0. Let x(l) = -2*l**k + l - l. Let c(o) be the second derivative of o**4\/12 - 2*o. What is x(c(h))?\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5608070.24 rounded to the nearest 10000?\nAnswer: 5610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 4, 0.\nAnswer: -14, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4778213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*h**4\/3 + 4810*h**3 + 685183*h**2\/2 - 1460165*h\/3 + 342363\/2 = 0. Calculate h.\nAnswer: -153, -137, 7\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*z**3\/3 + 71*z**2\/3 - 259*z\/3 + 49\/3.\nAnswer: -(z - 7)**2*(5*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in 1, -2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b + 6*b - 9*b)*(456 + 388 - 65 - 8).\nAnswer: -3855*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20905.1*-0.03.\nAnswer: 627.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in -1.536, 1, 0.3?\nAnswer: -1.536","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 876276 is divided by 1052?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/10 and -61\/362637250?\nAnswer: 362637250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 831 - 2468 - 7775*o**2 - 7784*o**2 + 15557*o**2.\nAnswer: -2*o**2 - 1637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n + 10 = -n - 3*w, 0 = -5*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*q = -64*q + 59*q - 1012. Let u(y) = 2*y + 25. Calculate u(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141 is divided by 80.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bpp when three letters picked without replacement from wwbwpwxwxxwwxspxxwww.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**2 - 112*p - 710. Let l be z(118). What is the closest to -4\/9 in -55, l, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 111 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4127*w - 1535*w - 911*w**2 - 70*w**3 - 193*w**2 - w**4 - 48*w**2 = 0. Calculate w.\nAnswer: -36, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -14205113 + -2?\nAnswer: -14205115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12 - -16. Suppose 3*j - 4 - 4 = 4*m, 2*m + 3*j + x = 0. Let r be (2 - -1)\/(9\/m). What is the nearest to 2\/5 in 2, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 712*q = 261*q + 216*q + 7050 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of 0 + 13\/60*o**5 + 0*o - 6*o**2 - 1\/14*o**7 + 0*o**3 + 0*o**4 + 0*o**6. Find the third derivative of d(v) wrt v.\nAnswer: -360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 289646280?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -2*y**3\/7 + 1124*y**2\/7 - 89472*y\/7 = 0.\nAnswer: 0, 96, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -55 by 4515.\nAnswer: -11\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Do -25 and -74076.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**7*x*x*x**(-8\/9)\/x*x)**(-34\/5) assuming x is positive.\nAnswer: x**(-2482\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -38*q**6 - q**3 - 2*q**2 + 37?\nAnswer: -4560*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-5 + -5 + -2 + 3 + (sqrt(605)*-1*3 - sqrt(605))))**2.\nAnswer: 7128*sqrt(5) + 87849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 45737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*l**3 - 4*l**3 - 3*l**3)*(4 + 0 - 1) + (0*l + l**2 + 0*l)*(-3*l + 0*l + 4*l) + 6*l**3 - 2 + 2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be 110\/(-33)*21\/(-5). What is the remainder when -82*(-7)\/n - 8\/(-2) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 462, 430, 398, 366, 334?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -4*i, 5*o = 10*i - 6*i + 4. Let z(h) = -h**3 - 6*h**2 - 2*h + 3. Let m be z(-6). Suppose 2*v = -v - m. Sort 6, v, o in descending order.\nAnswer: 6, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 84\/4*(1 + 7). Suppose 171*w = g*w + 96. Let c(q) = 10*q**2 + 2*q - 1. Calculate the remainder when w is divided by c(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 14*d + 16. Determine v(3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*b + 15*b - 25, 2*b = -3*v + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kddkqdqkqqkkdd. What is prob of sequence dkd?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(1377) + 2*sqrt(1377) + sqrt(1377) - (2*-1*sqrt(1377) - sqrt(1377)))**2.\nAnswer: 378*sqrt(17) + 67482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*y**4 + 2 + y**3 + 20*y**4 - 2*y**2 - 21*y**4 to the form c + i*y + h*y**4 + f*y**2 + o*y**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 75*m**2 - 19*m + 17. Let j be w(1). Solve -j*b - 70 = -83*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 2*a**2 + 27*a + 20. Determine j(-14).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22256841.\nAnswer: 3, 7418947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*z**2 + 2*z**3 + 11*z**2 - 15*z**2 + 23*z**2.\nAnswer: 2*z**3 + 49*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 2*c - 2*c = 156, c + 32 = m. Suppose g = -2*b + m, -3*g - b + 84 = g. What is the remainder when (8\/12)\/(1\/87) is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-53)\/(-2)*4\/(-2). Let q = 169 + p. Suppose -c + q = 3*c. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, u: 5, s: 7}. What is prob of picking 3 t?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1953584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 83, 137, 245, 401, 599, 833?\n\"Answer: -l**3 + 33*l**2 - 38*l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 19025759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + s = -33, -5*z + 2*z = -5*s + 51. Let c(d) = d + 26. What is the tens digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**15)**(-1\/17)*k\/((k*k**(-32)\/k*k)\/k)*k**(-1\/43)\/k assuming k is positive.\nAnswer: k**(23977\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 107601*b**3 - 1424*b**2 - 1424*b. Let u(i) = 454*i**3 - 6*i**2 - 6*i. Calculate 3*f(z) - 712*u(z).\nAnswer: -445*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**3 + 13*a**2 - 10*a - 19. Let z be p(12). Suppose -z*y + 104 = 3*y. Suppose -33 = -16*k + y*k. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 125\/(-5) + 0*9\/288*16\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3303313 + -1?\nAnswer: -3303320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00003639696 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(-2\/5)*h)\/((h*h*((h*h\/h**(16\/7)*h)\/h)\/h)\/h))\/(((h*h*h**(-14)\/h)\/h*h)\/(h\/(h\/(h\/(((((h\/(h**4\/h)*h)\/h)\/h)\/h)\/h))))))**(-19) assuming h is positive.\nAnswer: h**(-13224\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -35 = -r - 37 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/b**(2\/13))**32*b**(-10)\/(b**6\/b))**(-48) assuming b is positive.\nAnswer: b**(-7536\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -193 = -32*j + 3*b, -4*b + 3*b + 4*b - 34 = 2*j + 7*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the first derivative of j**2\/2 + 14*j - 28. Let r be g(7). Solve -2*p = 2*f - 6*p - 26, -5*f + r = p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 = -4*x + 7. Which is smaller: x or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.28*-6.423.\nAnswer: -21.06744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-5)*h**4)**20 assuming h is positive.\nAnswer: h**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -50, -102, 2, 0, -4.\nAnswer: -102, -50, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(-1)*j)\/(j**(-2\/9)*j*j))**32\/(j**(-9)\/j*(j*j\/(j\/((j\/(j\/(j**(-8)\/j)))\/j))*j*j*j)\/j)**(-4\/3) assuming j is positive.\nAnswer: j**(-428\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49612882.\nAnswer: 2, 11, 2255131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (0*i - 4*i - 7*i)*(-2*i**2 + i**2 + 2*i**2 + (-3*i**2 + 0*i**2 + 2*i**2)*(1 - 5 + 3) + 1 - 1 + 2*i**2) as x*i + t*i**3 + o + w*i**2 and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p**2 - 1 + 1)*(4 + 2*p - 4) + (2*p - 28*p**2 - 2*p)*(8*p - 6 + 6).\nAnswer: -228*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 28587.881 days?\nAnswer: 4083.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/5 of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (158*x + 13*x**2 - 158*x)*(-3*x + 3*x - 5*x**2) - x**3 + x**3 + 3*x**4.\nAnswer: -62*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**2\/8 - 98*y - 19208.\nAnswer: -(y + 392)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*w = -6*w + 32. Solve 2*c + i = 10, -i = -w*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 629 = o, 33*b - 4*o - 760 = 28*b. What is the remainder when 2030 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zrrzrzz. What is prob of picking 3 r and 1 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1688\/12660)\/(1\/3 + 0). What is the closest to -0.2 in a, -0.172, 0?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + f = 14, 2*v + v + 2*f - 13 = 0. Solve 2*l + v*c = 9, -c + 4 = 3*l + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2661902393.\nAnswer: 71, 79, 677, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 96\/15*((-1581)\/62 + 28)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 453 = -3*s, 13*l = s + 19*l + 144. Let m(z) = z**3 + z**2 + z. Let i(v) = 25*v**3 + 30*v**2 + 30*v. Determine s*m(u) + 5*i(u).\nAnswer: -25*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -24 (base 6) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 67 (base 16) in base 8?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2479430965 and 605?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 24, 42, 60, 78?\n\"Answer: 18*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 2*g**4\/11 + 502*g**3\/11 + 2452*g**2\/11 - 2008*g\/11 - 9840\/11 = 0.\nAnswer: -246, -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 4*r - 2*n - 130, 2*r = 4*n + 134. What is the units digit of (-7)\/(r\/(-48))*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 95.62266l in millilitres?\nAnswer: 95622.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.1 + 3.6. Let l = -0.2 - 0.8. Let h = -0.9 - l. What is the closest to -2 in -3, s, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -652970*d*x - 3*d + 645 wrt x.\nAnswer: -652970*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*j*m**3 - 130139*j*m**2 - 4*j*m - 2*j*q - 2*m**2*q + m*q + 1242*m - 2*q wrt m.\nAnswer: -12*j*m - 260278*j - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 80 and 122204912.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 5*k**2 - 2*k + 1. Let m be s(-3). Suppose 2*b - g + 0*g - m = 0, -3*g - 75 = -3*b. Let t = b - 7. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -284*x**2 + 284*x**2 - 6*x**3 + (x**2 + 0*x**2 + 0*x**2)*(-5*x + 2*x + x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 0 - (7 + -6 + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.8 and -3.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2 + 5. Suppose 4*x - 28 = -x - 4*u, 5*u + 31 = 2*x. Suppose -x = -z*r + 6*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 6 = 4*i. Which is the smallest value? (a) i (b) -0.11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + (18 - (11 - -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 5893*f**2 - 17460*f**2 - 12264*f**2 as m + d*f + h*f**2 and give h.\nAnswer: -23831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -285, 4, 3, 9, 149 in increasing order.\nAnswer: -285, 3, 4, 9, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - (3 - (6 - 15 - -17)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - -16) + (-7 + -20 - (-19 - -1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (-6 - (-4 - (3 + -9)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53170595.\nAnswer: 5, 23, 401, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - s - 391 = -402, s + 4 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5800742 - 1?\nAnswer: 5800741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/4, -12535, 5?\nAnswer: -12535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11 - -19. Calculate the smallest common multiple of 4 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 82049472*m**2 + m - 22672961 wrt m.\nAnswer: 164098944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b + 58*b. Solve -17*y - 102 + 34 = b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -4*m + 3 + 0*m + m. Let s(b) = 104 - 8*b - 57 - 38. What is 11*k(z) - 4*s(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 10 = -w, i + 0*i = w - 6. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the third derivative of 0*f + 1\/16*f**4 + 1\/120*f**5 - 47*f**2 + 0*f**3 - 2. Factor h(q).\nAnswer: q*(q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/1384*(-6244)\/6. Let g = j + -2\/173. Let i = 539\/6 + -81. Calculate the common denominator of i and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -16.35 and 0.5.\nAnswer: -8.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 109650376 and 25884?\nAnswer: 986853384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23.00000035 - 23. Round c to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -556 divided by -110768\nAnswer: 139\/27692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**3 + b**2 - 3*b + 8. Let c(g) = g**3 + g**2 - 5*g + 15. Determine 3*c(i) - 5*k(i).\nAnswer: -2*i**3 - 2*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:40 PM and 9:39 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -64*u**2 - 1 - 5*u**3 + 64*u**2 + 3. Suppose 4*m + 15 = 5*v, 4*v - 58 = -3*m - 15. Let s(y) = 6*y**3 - 2. Determine v*d(c) + 6*s(c).\nAnswer: c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4824 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4066007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes after 1:31 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(((sqrt(343) - (-1 + sqrt(343)))**2 - (sqrt(35)\/sqrt(5)*-5 - sqrt(7))) + (sqrt(175)*4 + 1 - sqrt(175) - sqrt(175))).\nAnswer: 12 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*m**3 + 2*m**3 - 4*m**3 + (-m + 1 - 1)*(12 - 4*m**2 - 12).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 + 17. Suppose -r + j = -3*d, 4*d - r = 2*r - 15. Let z be (d - (-2)\/(-2))*-5. Solve -4*t + 6*t = -2, 5*t + 20 = -z*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -42\/409 + -4645\/6544. What is the common denominator of z and -121\/804?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 34025652 and 68051304?\nAnswer: 68051304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.04419534 + -0.0442. What is g rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 30 = -0*u + 5*s, 3*u - 18 = -3*s. Suppose h = -3*w + 29, 6*h - 2*h - 2*w - 46 = 0. Calculate the least common multiple of u and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*p**5 + 0*p**5 + p**5 + (-p**3 - 1 + 1)*(-4 - 2*p**2 + 4) + (58*p**2 - 67*p**2 - 129*p**2)*(3*p**2 - 3*p**2 + 2*p**3).\nAnswer: -273*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/(h\/h**(-1)*h))**(-2\/139))**(6\/25))**(-32) assuming h is positive.\nAnswer: h**(-768\/3475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**3 + 138*c**2 + 29*c + 15288. Give m(139).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ya when two letters picked without replacement from {l: 2, r: 1, y: 1, b: 1, w: 2, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d be 12 + (3 + -4)*4. Suppose 23 = d*u + 63. Sort u, -26, -3, -2 in ascending order.\nAnswer: -26, u, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 15\/6*8\/10. Suppose 2*v = -4*u + 756, -o*u = 5*v - 0*u - 1850. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 3158*v - 50265. What is s(16)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -477, -955, -1433, -1911, -2389, -2867?\nAnswer: -3345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -18*g + 12. Let z(p) = -34*p + 24. Let d(f) = 9*x(f) - 5*z(f). Let b(r) = -7*r - 2. Let n be b(-2). Let h(u) = -u + 1. Determine n*h(i) + d(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 379, 841, 1497, 2443, 3775, 5589?\n\"Answer: 16*y**3 + y**2 + 347*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1071\/44 smaller than -0.679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 2 x when four letters picked without replacement from sswwsssxxw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.4, -962, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**2 + 3*d - 8. Calculate o(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*w + 1 + w**3 + 10*w + 41*w**3 + 77*w**3 + 1.\nAnswer: 119*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 441 + -3078\/7. Suppose -1\/7 + 3\/7*k**3 - 23\/7*k**2 + y*k + 36\/7*k**4 = 0. Calculate k.\nAnswer: -1, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 18 - 10\/5 - 5. Suppose 5*l + j - 1762 = 0, 8*l = h*l + 5*j - 1066. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 107804 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j - 6 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.140605 times -31?\nAnswer: -4.358755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 5443*s - 5. Let x be p(2). Suppose -4*q + a + x = 0, 1371 - 9533 = -3*q + a. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 81973944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.899 times 51\nAnswer: 45.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -11*d**3 - 6*d**2 + 2*d. Let p be q(-2). Which is bigger: p or -11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46 divided by 24.\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1565210*c**5 + 116*c**2 - 468544171*c?\nAnswer: 31304200*c**3 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41871\/5 - -18*(-21)\/1890.\nAnswer: 2, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(-3\/4))**(4\/5)\/((h\/h**8*h)\/((h*(h\/(h\/h**23)*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-330)\/88*504\/(-245))\/(10\/35)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(-10)*(-10)\/(-8). Let b be 10\/4*(-4)\/5. Let h be ((-1)\/b)\/(1\/2). Is h at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6.66 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-319)\/87*6\/((-22)\/11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -4*r**5 + 32*r**4 + 540*r**3 - 248*r**2 - 3392*r + 3072 = 0. What is r?\nAnswer: -8, -3, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6799 is divided by 2165?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*u**3 - 2*u + u**3 - 306*u**2 + 0*u**4 + 2 + 3*u**4 to the form h*u + w + z*u**2 + c*u**3 + r*u**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 4\/7*x**3 - 16\/7 - 4\/7*x + 16\/7*x**2 = 0. What is x?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.185 rounded to 2 dps?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 21, 162, 413, 774?\n\"Answer: 55*n**2 - 24*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o + 2*n + 6, o + 5*n = n + 15. Suppose -2*a - 6 = -o*a. Find the second derivative of -5*z - a*z**2 - 2*z**2 + 5*z**2 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 l, and 1 b when three letters picked without replacement from wkkkkiklbw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 240 = 35*n + 13*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -79 = -9*b - 133 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-4)*144\/(-324).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - ((-16 - -15) + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 2490836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does -2085 = -2083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 329.352162 - 306.0519. Let n = 23.3 - a. Round n to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.42 + 0.58. Which is smaller: q or 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1092 divided by 6907?\nAnswer: -1092\/6907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.02*-2.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.2413 and -0.5?\nAnswer: 0.2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be (52\/10)\/(5\/850). Let s be (-4)\/26 - 17\/(z\/(-8)). Suppose -2*d + 2*q - q = -25, -3*d - q + 40 = s. What is the highest common divisor of d and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 37575 + -37575.5. Let g = -4 + 3. Which is the biggest value? (a) p (b) -4 (c) 91 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -0.2, -1\/4, 0.3, 1220 in increasing order.\nAnswer: -3, -1\/4, -0.2, 0.3, 1220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*p + 18 = -26*p - 3*w, 73*w - 78*w - 694 = 176*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 146059 is divided by 128?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -6. Let q be 7*1 + (-45 - -43). Let s(n) = -n**2 - n + 13. What is q*t(j) + 2*s(j)?\nAnswer: -2*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 732\/(-792) - 2\/(-22)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1529*h - 1529*h + 5*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-16)\/6 + (-1)\/3. Sort 5, u, -5 in descending order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-38)\/(-6))\/((-53)\/(-159)). Solve -42 = -5*l + f*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 361 (b) -0.47 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiggggiiiigigiiigigg. What is prob of sequence ig?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 - 3)*(3*v**2 + 0*v**2 - v**2) - 4*v**2 - 4*v**2 + 6*v**2 - 2*v**2 + 0*v + 0*v + (3*v - 2*v - 5*v)*(-2*v + 3*v - 2*v) - 2*v**2 - 6*v**2 + 3*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 74 - 46. Suppose 3*i = -r + 5 + 24, 4*r = -4*i + x. Suppose 4*l - 33 = i. Let o(d) = -2*d - 9. Let v(j) = -4*j - 17. What is l*o(t) - 6*v(t)?\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 478843*n + 571405 with respect to n.\nAnswer: 478843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.1 + 3.1. Let a = -0.6 + 0.6. What is the second biggest value in m, a, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b**2 + 2*b**2 - b**2 + (1 - 4*b - 1)*(2 + b - 2))*(-b + b**2 + b).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -16252 (base 7) to base 13\nAnswer: -2125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -c2b2d (base 16) in base 6?\nAnswer: -25032021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 13*g**2 - 5*g. Let x = -18984 - -18992. Suppose 0 = -4*c + 3*c + 5. Let o be (-23)\/c + (-14)\/35. Let y(l) = 20*l**2 - 8*l. Determine o*y(f) + x*z(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/((j*(j**(-2)*j)\/j*j)\/j))**(-19)*((j*j**(-3))\/j)\/j**6*(((j**(-2)\/j)\/j*j)\/((((j**(-4\/3)\/j)\/j)\/j)\/j))**(-1\/9) assuming j is positive.\nAnswer: j**(-1276\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000002443981 rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7604810 to the nearest integer?\nAnswer: 2758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -210 = -206*n + 254*n + 462 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 24 = -2*k. Let x be (-3)\/(3 - (0 + 4)). Solve l + k = -x*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 + -9. Let v be (b - (-2 - -2))*-4. Solve 2*u - v = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide 29806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 201774343?\nAnswer: 17, 739, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2267577571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y**5 + 88*y**4 - 154*y**3 - 628*y**2 + 1704*y - 1008 = 0 for y.\nAnswer: -3, 1, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -68 + 117. Let n = i - 37. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the third derivative of i**5\/30 + 7*i**4\/24 - i**3\/2 - 43*i**2. Suppose -7 = -26*f - 102 - 61. Give x(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 23448, 23958, 24468, 24978, 25488?\nAnswer: 25998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 1)*(7*c + 2 - 2).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -152635? (a) 1\/5 (b) -0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r - 3*a + 7966, 20*r + 7970 = 22*r + 5*a. List the prime factors of r.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**4 + 179*f**3 - 177*f**2 - 179*f + 178.\nAnswer: -(f - 178)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 4 + sqrt(52).\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kgkbdbdkbkdkkgj. Give prob of picking 1 g and 2 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 - (11 + -11))\/(-1) + (-72)\/(-3). Solve 0 = q*r - 26 + 26 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-2))\/(45\/180)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - 2. Let f(b) = b**3 + 4*b**2 - 8*b - 7. Let x be f(w). What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -13*z - 45. Determine m(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 51*m + 375 - 116247. Calculate the highest common factor of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.1 - -0.1. Let k = -196.3196 + 0.2196. Let g = k - -195. What is the second smallest value in 0.5, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -4*(-4)\/16 - 4. Let k(h) = 80*h - 160*h + 5 - 1 + 82*h. Determine k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {l: 5, j: 2, e: 13}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence usus when four letters picked without replacement from wquswwwqs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 3*t + 16 = 0, 4*b - t = -2*t. Let m = -37 + 41. Suppose 5*r - m = 6. Solve -x + b = r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000984976 to 7 dps.\nAnswer: 0.0000985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -6*l - 2577. Calculate c(-429).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/22)\/(6\/(-99)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 1649 divide 16104185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*c**2 + 178*c - 84*c - 94*c.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:02 PM and 7:35 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 52962465641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -3*l**3 + 6*l**2 - 5*l - 5. Let i(j) = -j**2 + j + 1. Determine -2*c(x) - 10*i(x).\nAnswer: 6*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -9431, -18852, -28273, -37694?\n\"Answer: -9421*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - y = 9, 0 = -5*v + 2*y - 4*y + 15. Let h be -2*v*5\/(-15). Calculate the highest common divisor of h and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -28 + 42. Suppose 2*l - 2*i = -l + 26, -2*i = 2*l - y. Let r = 8 - 1. Which is bigger: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.21 (b) 0.2 (c) -1\/13 (d) -5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8)\/7 - (-14)\/98. Let k(q) = -17146*q**3 - 2*q**2 - 5*q - 2. Is k(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -127*z - 178*z + 252*z + 0 + 0.\nAnswer: -53*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 377000, 376964, 376928, 376892, 376856, 376820?\nAnswer: 376784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 241, 472, 685, 874, 1033, 1156, 1237?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31828 divided by 178.\nAnswer: 15914\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -2785*h - 6. Let x(k) = -25034*k - 52. Give 52*p(w) - 6*x(w).\nAnswer: 5384*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -26 (base 7) to base 11.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 1202 by -3.\nAnswer: -1202\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2194, -2191, -2188?\nAnswer: -2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -559 and 5.\nAnswer: -2795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 92 a factor of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11000110001 - -101?\nAnswer: 11000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.254 + -0.25400273. Round k to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.03 + -0.13. Let h(x) = -42*x + 3782. Let f be h(90). Which is the second biggest value? (a) -4 (b) f (c) i (d) -0.017\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 340*l = 356*l - 64. Suppose 27*b - 3*i = 32*b - 7261, 3*i - 5807 = -l*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 336758\/21 - 16033. Calculate the common denominator of (-1)\/90*-46 + -1 and v.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 y, and 2 l when four letters picked without replacement from lihhhlylaa.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 313 = -3*y - 0*y, 0 = -c - 3*y + 53. Let n = -60 + c. Solve 1 = -n*t - 3*m, t + 2*m = -1 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26)\/(-10) + (-30)\/((-2550)\/(-1921)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.292? (a) -0.3 (b) 1 (c) -1\/27 (d) -5 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 10.4, 28.\nAnswer: 0.4, 10.4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 189500 and 18800?\nAnswer: 35626000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*y**2 - 56*y + 56*y.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -523*b**3 - 1229*b**2.\nAnswer: -3138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 2 = t + 5*p, -3*t - 3*p = -24. Calculate the lowest common multiple of 2 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = 2*w + 56, -2*w - w = 5*v + 54. Let j = v + 19. Let p = 10 - j. Calculate the smallest common multiple of 8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 34259\/5 + -794817\/116. What is the common denominator of r and -87\/80?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -64 - -68. What is the second derivative of 60*z - 29*z - 33*z + 50*z**w + 13 - 234*z**4 - 61*z**4 wrt z?\nAnswer: -2940*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.4 (b) 8 (c) 0.01 (d) 2 (e) -2\/43 (f) 1 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.38 - 0.88. Let m = 8 - 13. Let g = -2 + 1. What is the closest to 1\/4 in m, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 115754*m**3 - 38579*m**3 - 38601*m**3 - 38442*m**3.\nAnswer: 132*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-42)\/(-12)*240\/(-70)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-112)\/(-21))\/(-2 - 8\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 290263 is divided by 5940.\nAnswer: 5143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h*h**(-2\/25))**(-41)*h\/h**(-5\/4)*h**(11\/4)*h assuming h is positive.\nAnswer: h**(-2843\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-6)\/81)\/(2\/(-1704)). Let m = 63 - a. Let u be 25 + -14 - (-47)\/(-4). Sort -0.4, 5, u, m in decreasing order.\nAnswer: 5, m, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 4*k - 24. Let r be v(10). Let z = -4 + 9. Let t = z + 3. What is the greatest common factor of t and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -4\/9, -1, -84, -0.028, -2?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12*5\/(-10) - (2 + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 278.2 times 2\nAnswer: 556.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -27066 + -3?\nAnswer: -27069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7 + 1. Let z(l) = 2*l - 10. What is the remainder when 16 is divided by z(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 3*i**2 + 20*i**2 - 131*i**2 + 28*i**2 - 87*i**2. Let t(u) = 2*u**2. What is y(t(v))?\nAnswer: -668*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -26 - -5 - ((47 - 158) + 44)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 439455373961519 + -439455373960850.141530507843. Let f = z + 0.141527117843. Let n = f + -669. What is n rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/(-14))\/(1\/21). Suppose -42 - 12 = -d*k. Suppose -3*h - 3*f = k, -f = -3*h - 2*h + 15. Solve h*m + 3*c = c, 4*m + 2*c - 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(1088) + 4) - (5 + (sqrt(1088) - 3*sqrt(1088)) - sqrt(1088) - sqrt(1088) - sqrt(1088)))**2.\nAnswer: 3344*sqrt(17) + 132009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*p - 4*p + 4*p - 1 - 20 + 4*p.\nAnswer: 4*p - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be 18\/2 + (0 - 4). Let o(k) = -k**3 + 6*k**2 - 6. Let t be o(d). Suppose t + 1 = 4*f, -5*f = -2*q + 31. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 21 (base 11) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3\/(-6) - -1) + (-3028)\/5928. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19435*j - 19435*j + 342*j**3.\nAnswer: 342*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -76, -2, 123, -6, 4 in decreasing order.\nAnswer: 123, 4, -2, -6, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -38549 - 193?\nAnswer: -38742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the third derivative of -d**6\/120 + d**5\/20 + 5*d**4\/12 - 5*d**3\/6 - 352*d**2 - d. What is i(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m*m\/m**(-17)*m)**(-41) assuming m is positive.\nAnswer: m**(-861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that 4*b**3 + 20261*b**2\/2 + 6467669*b + 135160285\/2 = 0.\nAnswer: -1261, -85\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 9*t - 27. Let g be j(3). Sort 3, 21, g, 5 in descending order.\nAnswer: 21, 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z - 2. Let f(o) = 209*o - 1. Calculate -f(u) - 2*q(u).\nAnswer: -207*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the first derivative of g**3\/3 + 2*g**2 + 2*g - 5. Let n be t(-4). Suppose 12 = 5*b - n*u + 3*u, 3*b = -2*u + 10. Solve -b*d = -4*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -0.066, 2.1, -2, -0.3 in decreasing order.\nAnswer: 3, 2.1, -0.066, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/192*12 + 99567\/2664\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 9 - 2)*(0*b**2 + 5*b**2 - b**2)*(3 - 3 + b**2).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 266 is divided by 78?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**2 + 576*d - 186420. Give o(231).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 19*n**2 - 15*n - 10*n - 2 + 24*n - n**3 + 18*n**2 as g*n + l + a*n**2 + h*n**3 and give a.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/p**(4\/19)*p*((p**13*p)\/p)\/p*((p\/p**(-22))\/p*p)**(-1\/3) assuming p is positive.\nAnswer: p**(349\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 - 2. Let f = -1.2 - x. Let k = f + 0.200015. What is k rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -4*h + 32, -38 = -4*h + 2*a - 0*a. Let j be h\/2 - (-6)\/12. Let u(t) = -t + 4*t - j*t. Let v(i) = 2*i**2. Give u(v(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 4 = -11. Suppose -20 = 4*l - 56. Let v be (1 + -4)*h\/l. Which is the third biggest value? (a) 1 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 131694.\nAnswer: 2, 3, 47, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3073, -4, -5 in decreasing order.\nAnswer: 3073, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21 + -25. Which is the second biggest value? (a) s (b) 0.1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -100874 (base 9) to base 2.\nAnswer: -1110100101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15482742, 30965414, 46448086, 61930758?\nAnswer: 77413430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1711 is divided by 567.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 26987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 120*a. Let k(c) = -3*c**2. Give k(p(v)).\nAnswer: -43200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of 2*y**2 - 1. Let u = 13 - -10. Let s(r) = 23 + r - u. Calculate x(s(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 9:28 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 25b - 4f264?\nAnswer: -4f009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most as big as 142.43269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4918*n**3 + 2135*n**2 + 2538*n + 38941.\nAnswer: 29508*n + 4270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 934 is divided by 300?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.1, 4, 2\/7, 799?\nAnswer: 799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7103299?\nAnswer: 7, 43, 23599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add together -843 and 2.5.\nAnswer: -840.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1872)*-1*-4 + sqrt(1872) + 4 - (-1 + sqrt(1872) + 2 + 2))**2.\nAnswer: 96*sqrt(13) + 29953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 87 divide 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bqy when three letters picked without replacement from {y: 3, b: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -5619.7 rounded to the nearest one hundred?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 53601 and -0.01508?\nAnswer: 53601.01508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 4*y - 7. Suppose -2*w + 1 - y = 0. Let m(x) = -4*x**3 + 8*x**2 - x - 2. Let s(h) = h**3 - h**2 + 1. Let b(g) = -m(g) - 5*s(g). What is b(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3ba - 3c631c?\nAnswer: -3c5c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/88*2*(-72)\/(-24).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -5*r + 13, -2*m - m - 6 = -3*r. Let p be (3 - 2) + (-1)\/1. Solve p = -r*i - 5*s + 6, 4*i - s - 7 = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 29, -3 in decreasing order.\nAnswer: 29, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that -2*x**4\/15 + 2*x**3\/3 + 4*x**2\/5 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.092042131 and -168.\nAnswer: -167.907957869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 175056 and 194854.\nAnswer: 32735472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2015, 2024, 2033?\nAnswer: 2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ttttdstttotddx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Simplify (w**4\/(w*w\/(w**(2\/27)*w)*w))**(-14)*w**(-1)\/((w*w**(-1)\/w)\/w)*w*w*w**(-4\/9)*w**(-1\/12) assuming w is positive.\nAnswer: w**(-2869\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -7 (b) -611 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -3*g**2 - 44*g + 4. Let t(n) = n**2 + 2*n - 1. Let j(r) = -l(r) + 5*t(r). Let u be j(-7). Solve u*c - 20 = 3*o, 0 = 5*c - o - 3 - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**3 + 7*z**2 + 9*z - 7. Let l(g) be the third derivative of -g**5\/60 + 11*g**4\/12 - 39*g**3\/2 + 115*g**2. Let c be l(14). Give u(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/3)\/(25\/30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51227 is divided by 12652?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-2) - (-11)\/2. Let r(j) = j**3 + 7*j**2 - 4*j - 7. Let q be r(-7). Suppose d*g = 3*g + q. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + w + 17 = 0, 2*w - 47 = 5*d - 0*w. Let m be ((-24)\/15)\/((-2)\/15). Let k = m + d. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/(-16)*-34*10\/(-340).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -48.7 + 6.7. Is z greater than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of b**4 + 7*b**3 - 23*b**2 - 2497*b.\nAnswer: 12*b**2 + 42*b - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in -1.21, 2\/9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of a**4\/4 - 4*a**3\/3 + 2*a**2 - 3*a + 27. Let y be g(2). Put -2, y, -4 in descending order.\nAnswer: -2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1316*r*w**3 - 13*r*w**2 + 96*r*w + 1871*w**3 - 802 wrt r?\nAnswer: -1316*w**3 - 13*w**2 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 60 by -20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 10*n + 7. Let x(z) = 9*z + 6. Let r(u) = 6*q(u) - 7*x(u). Let l(m) be the second derivative of m**4\/12 - 22*m. Determine r(l(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1883, -4366, -6849?\nAnswer: -9332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -22 + (3 - 1) + 140 + -133.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -356*t**2 + 22 - 2*t + 367*t**2 - 22 - 9*t**3.\nAnswer: -9*t**3 + 11*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -764\/7 or -108?\nAnswer: -764\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 720 divided by -8\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to -318\/1751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -0.02 (b) -545\/131 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -32, 2, -6 in descending order.\nAnswer: 2, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 213 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 11\/4 (b) -2\/21 (c) 2\/11 (d) -1\/58 (e) 1 (f) 6\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 135 + -132. Let d(b) = 32*b**2 + 4*b. What are the prime factors of d(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6889569 at least as big as -20668705\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 4*m + m + 9 = 0, -m = 5*w - 15. Suppose 0*k - 30 = w*k. Does 5 divide (k\/(-4))\/((-3)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 45453450 (base 6) to base 15\nAnswer: 1c7420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the first derivative of -237*x**4\/4 + 2*x**3\/3 - 111*x**2\/2 - 596. What is the third derivative of t(c) wrt c?\nAnswer: -1422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2063 + -2061. Do n and 2245 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 153*d = 49*d + 43*d + 771 - 161 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16918.816 + 17051. Round f to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/3460 and 11\/12?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 8\/23, -5, 1, -3\/2.\nAnswer: -5, -3\/2, 8\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**3 + 66*g**2 - 63*g - 278. What is the units digit of n(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: -0.031*-736\nAnswer: 22.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/(-3))\/(3*1\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y + 33. Let g be x(4). Solve -5*c = -5*b - 9*c - g, -5*b - 28 = 3*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10686?\nAnswer: 2, 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 37 = -13. Let h = -20 - d. Let m = -17 - h. What is the remainder when 36 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g - 5*v + 79 - 1620, 2*g + 1044 = 5*v. Let i = 518 + g. Which is smaller: i or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1028936.7 rounded to the nearest one thousand?\nAnswer: 1029000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*c + 4 = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**2 + 17*l - 26. Let y(q) = -q**2 + 17*q - 24. Let o(s) = 4*m(s) - 5*y(s). Factor o(g).\nAnswer: (g - 16)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3031582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12256 = -5*k - g, -4*k - 741*g + 9805 = -740*g. What is the remainder when k is divided by 188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 3*j + 4*v, 5*j + 2*v = 0. Let 2\/7*y**2 + 2\/7*y**3 - 4\/7*y**4 + 0*y + j = 0. What is y?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -2*f**3 + 2*f**2 + 2*f - 2. Suppose 5 = -4*c - 3. Let m(k) = -7*k - 3 + 5 - 2*k**3 + 3*k**2 - 5 + 10*k. Calculate c*m(r) + 3*w(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 9.554279 micrometers in meters?\nAnswer: 0.000009554279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 390035458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -229 - -235. What is the nearest to 2\/7 in m, -0.3, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**13*a*a\/(a*a**(2\/9)))\/(a**2)**(-37) assuming a is positive.\nAnswer: a**(799\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/3*(14 + 4). Let c = p - 6. Suppose 2*g - c - 10 = -2*h, 26 = 2*h + 4*g. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27 - 0 - ((119 - 256) + 169)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 0 - 9) + (-1 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((sqrt(1216) + sqrt(1216)*2)*-1 + -6*1*sqrt(1216))**2 + 3.\nAnswer: 98504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v = -4*u + 3*v - 39, -14*u = -3*v + 139 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes after 10:59 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -13 or -34?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3 - 1)\/((-4)\/(-10)). Suppose -s - 152 = -j*w, 2*w = -0*w - 3*s + 54. Suppose -4*z + 3*d + 57 = 0, 5*z - 2*z - w = -2*d. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 8\/13, 0, 2\/115, -3 in decreasing order.\nAnswer: 8\/13, 2\/115, 0, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 825482, 825631, 825780, 825929, 826078, 826227?\n\"Answer: 149*b + 825333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 33970138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccxx when four letters picked without replacement from {x: 10, c: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 43715 divided by -11?\nAnswer: -43715\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h**(4\/3)\/h*(h**7\/h*h*h)\/h*h\/h**3*h**(3\/5)*h assuming h is positive.\nAnswer: h**(119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*i - 37546 + 2392 = -552*i + 79*i for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 4 + 2 + 0 + (18 - 30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -5695 - 5693 + 17087 - 5699 - 2*v**2. Let l(f) = -96*f. Calculate l(m(h)).\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 34028.4 * -6.\nAnswer: -204170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10 + -5. Suppose 4*w - 5*f = -f + 132, 4*w + l*f = 87. What is the highest common factor of w and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*j + 3*j - 2*j + 45 + 4*j - 5*j to d + r*j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 2*p**3 + 35*p**2 + 14*p - 48. Let j be i(-17). Let y = 129 + -133. Which is the closest to j? (a) -0.09 (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -39444 less than 40.511?\nAnswer: 39484.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 408 = 3*i + 3*q, q + 556 = 4*i + 2*q. Suppose -4*u + 0*u + 80 = 0. Calculate the greatest common divisor of i and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 5274 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 685+355\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18813, -18809, -18805, -18801?\nAnswer: -18797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 215, 2875, 7355, 13655?\n\"Answer: 910*y**2 - 70*y - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + 6. Suppose 5*l = -5*j + 254 + 536, l + 462 = r*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j + 1. Let w be q(3). Suppose 0 = g - w*g + 5880. Round g to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 61770 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -2*x**2 - 67*x - 93. Let w be j(-32). Suppose 5*b - 1 = 9. Factor 101*u**w - 10*u**b - 106*u**3 + 2 + 5*u + 8.\nAnswer: -5*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -66272, -132545, -198818, -265091, -331364?\nAnswer: -397637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -15*h**2 + 24*h - 1 + 22*h - 64*h + 20*h in the form p*h + l*h**2 + m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-38))\/(1224\/84 + -16 - 25\/7).\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**3 + 29*s**2 - 120*s + 486. Determine i(25).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(48\/42))\/((66\/(-6))\/(-22))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -4*h + 3. Let b be j(2). Let u(k) = -k**2 - 5*k + 4. Let r be u(b). Let z = 23022 - 23024. What is the fourth biggest value in r, z, 0.5, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23660827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -12*c**3 + 103*c**3 + c**2 + 28*c**3 + (16*c - 10*c + 33*c)*(c**2 + 5*c**2 - 5*c**2) as m + n*c**3 + r*c**2 + i*c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*a + 5*a + 5*a**3)*(-1 + 1 + 1) + (-a**2 + 3*a**2 - a**2)*(-2*a - 2*a + 3*a) - 5*a**3 + 2*a**3 + 2*a**3 as f + k*a**2 + c*a**3 + v*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 144 + -142.75. What is k rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - v = 1. Is -994 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 + -4. Let h(g) = g**3 - 2*g**2 - 6*g + 3. Let o be h(0). What is the closest to m in -2\/15, 2, o?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2, -4, 2\/5, 59\/3 in decreasing order.\nAnswer: 59\/3, 2, 2\/5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-20))\/(((-2)\/16)\/1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 13\/7*g + 5\/7*g**2 + 8\/7 = 0 for g.\nAnswer: -8\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -595 + 688 = -31*m. Put 6, -5, -4, m, 1 in descending order.\nAnswer: 6, 1, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v. Let h(c) = -c. Let a(q) = h(q) - 3*s(q). Let p(i) = -2*i**2. Determine a(p(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 865690 and 1731380?\nAnswer: 1731380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 20 + 1)*(-f - f + f) + (1 - 7 + 1)*(-f - 3 + 3).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -1034 + 1009 = 2*l + p, -44 = -2*l + 2*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-j**2 + 9*j**3 - 10*j**3 - j**2)*(13 + 6*j - 13) to the form u + i*j**3 + l*j + z*j**4 + n*j**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 230 - 135. Suppose -75 - b = -5*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2 + 3)*1*51. Suppose 0*f = 3*f - s. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(22) + (sqrt(22) - sqrt(264)\/(sqrt(24)\/sqrt(2))))\/(-3*sqrt(176)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 587339*l - 15*l**3 - 293579*l - 293760*l.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the second derivative of -a**5\/5 - 10*a**4 + 62*a**3\/3 - 3747*a. Let h(m) = 0. Calculate m.\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 144880132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -11*m + 46. What is the hundreds digit of k(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -3313*a**3 - 8*a + 8. Let b be s(2). Let d = b - 21488. Round d to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 204127226?\nAnswer: 2, 102063613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 5096744 divided by 1274186\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 12 = -2*g, -h + 2*g - 3 = -3*g. Let d = 4 + -3.7. Which is the smallest value? (a) d (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**2 - 18*j + 20. Let q be u(-10). Suppose q = 12*i - 524. Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 261590579 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*s + 300 - 88. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 153*n - 225*n - 35*n - 336*n.\nAnswer: -443*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.2741*8\nAnswer: -2.1928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**2 - 11*a + 11. Give q(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u**4\/11 + 736*u**3\/11 + 25580*u**2\/11 - 335056*u\/11 - 32718 = 0 for u.\nAnswer: -41, -1, 11, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1834911359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1607 - 656. What is s rounded to the nearest 10?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 81294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 66*f**2*r**2 + 8*f**2 + 2*f*r**2 + 4*r**2 + 18*r + 3 wrt f.\nAnswer: 132*r**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {d: 1, v: 1, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000196 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*a - 3*a = -6188. Suppose -24 = -2*s + a. What are the prime factors of s?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1380 and 552.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 833 + -348. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-5 + (4*(sqrt(200) - (0 + sqrt(200))))**2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*g + 20 = -11*g. What is the units digit of 508\/16 + g\/16 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/19 (b) 2\/363 (c) 828\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5105 - -5287. What is the remainder when 457 is divided by o?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15256535 (base 8) in base 14?\nAnswer: 67075b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/114576 and 29\/10416?\nAnswer: 114576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -21004 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -26 + 23. Let j be ((-6)\/(-15))\/(a\/345). Let n = -42 - j. What is the lowest common multiple of 10 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -10*n + 2. Let q be x(2). Let z be q\/8*48\/(-36). Is 13 a factor of ((-130)\/z)\/5*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.1 + 0.2. Let f be (-52)\/(-24) - (1 - -1). Let u be ((-4)\/10)\/((-9)\/15). Put f, t, u in descending order.\nAnswer: u, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3384949 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*a*v - 339598*a - 649026*v**4 with respect to v.\nAnswer: -2*a - 2596104*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 691231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from nnynyjynnyjjyll?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j**3 + 2*j**2 - j. Let m be v(1). Let d = -13 + m. Let t = 66 - d. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -138*j = -128*j - 70 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 208141?\nAnswer: 208141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a minute in milliseconds?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Do -3264 and -3264 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a + 3*d - 14, -a + 12 = 5*d - 9. Suppose -4*q + 333 = -3*v, v - a - 84 = -q. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 34322610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3562 divided by -26.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 7 - 19 = -4*r, -2*b - 12 = -5*r. Suppose -n + 2 = -4. Find the third derivative of 9*q**2 - n*q**r - 7*q**2 - 4*q**2 wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = -2*g + 5*k + 24, 2*g + 5*k = -17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 21001 (base 3) to base 2\nAnswer: 10111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 362495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 103 - 12. Suppose 10 = -k*h + 89*h. What is the common denominator of -25\/16 and ((-15)\/20)\/(h\/26)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34581 is divided by 34570?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 15) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -14261233 (base 8) to base 10\nAnswer: -3236507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j = 6*j - 3. Sort j, 0.1, -2\/9.\nAnswer: j, -2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the second derivative of -s**5\/110 + s**4\/33 + s**3\/33 - 2*s**2\/11 + 11*s. Determine o, given that z(o) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 0, -7, 4546 in ascending order.\nAnswer: -7, -3, 0, 4546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 times 75.46?\nAnswer: -37.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2336802?\nAnswer: 2, 3, 13, 29959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -383 at most as big as -380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4198 + 4199. Which is the nearest to -5.6? (a) -5 (b) s (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -781 + 23671774\nAnswer: 23670993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -115, -234, -353?\n\"Answer: -119*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oddodndondn. Give prob of sequence odnn.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -4*g - 24. Let u be d(-6). Round u to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - 12448476078.\nAnswer: -12448476083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -147243, -294379, -441515?\nAnswer: -588651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*i**2 - 27 + 4 + 28*i**2 - 3*i**3.\nAnswer: -3*i**3 + 21*i**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be 232\/(-1232)*-4 - 4\/22. Find b such that -2\/7*b**3 + 2\/7*b**5 + 4\/7*b**4 + 0*b + 0 - c*b**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 - 1120?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*o - 3*o**3 + 16*o + 2*o**3.\nAnswer: -o**3 + 50*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y + 5. Let b = -7 - -13. Let q be x(b). Let d = -9\/8 - q. What is the second biggest value in -1, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3, f: 5}. Give prob of sequence www.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 3*u - 31. Calculate the least common multiple of 6 and (u + -2)\/(2 + (-21)\/6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000001212 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1010 (base 2) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 0*u = 0. Let y be 4\/10 + 92929\/365. Find the first derivative of 0*l + u*l - 13*l**2 + y - 278 wrt l.\nAnswer: -26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 3, l: 5, i: 1}. What is prob of sequence slil?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11974159 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -13\/61 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -41, 83, 207, 337, 479, 639, 823?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 = 5*y + f, 3*f = 40*y - 44*y + 28 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -95070 divided by -66.\nAnswer: 15845\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06272919 rounded to four decimal places?\nAnswer: 0.0627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 453*g**3 + 13588*g**2\/5 + 20373*g\/5 - 18\/5.\nAnswer: (g + 3)**2*(2265*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -20743, -20742, -20741, -20740, -20739?\nAnswer: -20738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -3*l**3 - 83*l**2 - 194*l + 136. Determine v(-25).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 3*i + 1. Let x(q) = -7*q - 2. Suppose 8 = 3*z + v, -2*v - 151 = -4*z - 137. Calculate z*x(n) + 5*o(n).\nAnswer: -6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2517783.3*-0.03.\nAnswer: -75533.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**1*o)**(-2\/51)\/((o*o**3)\/(o\/o**(-2))))\/((o**(-1\/3)*o)**26*o**(-2\/15)*(o\/(o*o*o*o*o**1*o*o*o))\/o) assuming o is positive.\nAnswer: o**(-2621\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 295*a**2 - 55*a + 55. Let g(j) = -21*j**2 + 4*j - 4. Suppose -2*z = -4*d - 6, -8*d + 11*d + 4*z + 32 = 0. Give d*n(s) - 55*g(s).\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 8470 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**2 + d. Let p be g(-1). Solve 25 = -5*z, -z = r - p*z + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -12 + 3*j**2 + 12 + (2*j + 3*j - 4*j)*(-1 + 1 + 2)*(13334 - 13334 + 181*j).\nAnswer: 365*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16\/77 - -3\/385. Which is the nearest to 1\/8? (a) 0.01 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, e: 2, v: 3}. Give prob of picking 1 e and 1 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the second derivative of -11*o**5\/40 + 5*o**4\/24 - 5*o**3\/3 + o. Let l(g) be the second derivative of k(g). Is 22 a factor of l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) 77 (c) -4157 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes after 8:26 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -220\/2071 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 629 and 2201840?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from {b: 5, q: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 422843*l**3*n + 1314576*l**3 + 166*l*n + 14*l wrt n.\nAnswer: 422843*l**3 + 166*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be 19876\/(8 - 4) + 3\/(-3). Suppose 32*r = 20*r + a. List the prime factors of r.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*p + 0*p - 2*p)*((1 - 4 + 2)*(-2*p + 2*p - p) - 4*p - 2*p + 7*p + 2*p + 1 - 1 + (4*p - p - 2*p)*(4 + 1 - 6))*(-4*p + 8*p + 6*p).\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (150\/(-5))\/(8\/(-264)*-22).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19 - 4*a - 5*a + 2*a - 5*a**2.\nAnswer: -5*a**2 - 7*a - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -1179*k + 17594 + 27208 = 0 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25696 + 79504 = -4*z. What is z rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:21 AM and 12:51 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 115075 = 3*y - g, 5*y - 3*g = 3*y + 76712. Suppose 29*s - y = 2589. Is 34 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the third derivative of l**8\/2016 - 2*l**7\/315 + l**6\/30 - 4*l**5\/45 + l**4\/9 - 7*l**2. Let w(v) = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3664678692 to the nearest integer?\nAnswer: 60537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 360 = 2*q, -4*p - 534 = -p - 5*q. Let t = -88 - p. Let v = t + -93. Put v, -17, 1\/2, 1 in ascending order.\nAnswer: -17, 1\/2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1287 and 1287 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1391669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 3*o - 707, -3*o + 1399 = -13*c + 17*c. 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: Is 849991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -9*7*(-3)\/126?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1705421*p**3 + 667780*p**2?\nAnswer: -10232526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0 - (4 - 1))\/(-1). Suppose 4*b + 2*u - u - 15 = 0, 25 = 5*b - 5*u. Suppose -b*v = -g*v - 10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(98) - 4*sqrt(98))*-2 + 1)**2.\nAnswer: 84*sqrt(2) + 3529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 213534973?\nAnswer: 2897, 73709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g + 4*f - 1 + 21, -4*f = 4*g + 24. What is the common denominator of -69\/16 and g*71\/28 + 0?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.672558 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-5)\/(v*v\/((v\/(v\/(v*v**(-33\/7))))\/v)) assuming v is positive.\nAnswer: v**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6076\/475 - -240\/19. Let u be 1*(-3)\/(4\/(32\/(-12))). Let n be (u\/4)\/(4\/(-8)). Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1*-1*(-2 + 2)\/(-4). Let i be 0 + 1 + -1 + (n - -2). Solve 4*m + 17 = 5*w, -5*m - i*w = -3*w - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 49\/5 of a kilogram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 128 is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 57*o - 539 - 88. Solve 8 = -7*x + o*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 409 - 423 - 8*w + 8*w + w. Determine y(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (12603\/(-12))\/((-3)\/(-48)*-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 90\/(-20)*(-4)\/6. Let c = 36 + f. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 91942 + 1266?\nAnswer: 92ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (70\/4)\/(-7)*(-45)\/90\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the first derivative of -13*h**2\/2 + 5*h - 1. Let t(p) be the second derivative of 2*p**3\/3 - p**2 + 1276*p. What is -2*j(k) - 7*t(k)?\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*-6*(((sqrt(375) + sqrt(15))\/sqrt(5) - sqrt(27)*2) + sqrt(192)*5 + 3)**2.\nAnswer: -115416 - 5760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 1. Suppose -4*h + u = -5. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 4*z - 9. Let b(r) = 2*r - 5. Determine 2*a(c) - 5*b(c).\nAnswer: -2*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 0.0497, -0.2, -61 in descending order.\nAnswer: 0.0497, -0.2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.03 + -0.37. Let d = -3414 + 3417. Let g = 86\/33 + -36\/11. What is the nearest to g in k, 0.3, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 119, 118, 117, 116, 115, 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -95*p = -48*p - 63*p - 96 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/1*(-12)\/30.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -5*z - 25, -22 = 4*p + 6*z - 4*z. Let x be (p\/2)\/((-27)\/(-6) + -5). Solve -3*y + x = -4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/294999622 and 27\/3830?\nAnswer: 1474998110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 8aa02 (base 11) to base 13.\nAnswer: 47bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 3999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-5 + ((0 + sqrt(343))*-5)**2 + sqrt(343) + (sqrt(343) + 2)*6) + -1.\nAnswer: 294*sqrt(7) + 51491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24 + -166\/7. What is the nearest to -1 in -1, 3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 - 5*m**2 - 3*m + 5. Let r be (-7 - -5) + 4\/(-2). Let v be u(r). Let w be (-60)\/(-5) - (v + 2). Calculate the highest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-216)\/(-60) - (-9)\/(-15). What is the second derivative of 178*m**3 + 8*m - 350*m**f - 2*m**2 + 176*m**3 wrt m?\nAnswer: 24*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -818*h**3 + h**2 - 1052.\nAnswer: -4908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1867390 a multiple of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 79 = 5*z, 15*z = -a + 14*z + 55. Let u = 98 - 40. Is a at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 172 * -2155.\nAnswer: -370660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 2255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -403*u - 2757 = 66*u + 19286 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25771754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/10 - (-2)\/5. Let q = -3.968 - -0.248. Let r = 1.28 - q. What is the third smallest value in f, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 + 6. Let m = l - 0. What is the nearest to m in 3, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 PM and 5:52 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -239, -237, -225, -197, -147, -69, 43, 195?\n\"Answer: b**3 - b**2 - 2*b - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y = -m + 10, 0 = -2*y + m - 433 + 856 - 438 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/7, 92, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = 310 + 218. Let d = j + 810. List the prime factors of d.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 6*v = 6. Let x be (-12 - (-1 - -1))\/1. Let s = x - -17. Sort 4, v, s in increasing order.\nAnswer: v, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kuk when three letters picked without replacement from ukkvk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00061675 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 - 11*c**2 - c + 14. Let y = -5 + 16. Let r be i(y). What is the third derivative of 3*u**2 - u**r + u**3 + 2*u**6 wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 710136.71 rounded to the nearest one thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m + m + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 227050955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6570279 and 68.\nAnswer: 26281116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 10*l**2 + 5*l + 3. Let r(c) = -5*c**2 - 3*c - 2. Determine 3*q(w) + 5*r(w).\nAnswer: 5*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 14 = j, -9*v = 3*j - 4*v - 21. Let u be j\/5*(-10 - -20). Suppose 19 = k + u*o, -o - 6 = -5*k + 5. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 134 + 156*q - 7427*q**3 - 126 - 36*q + 198*q - 36*q wrt q.\nAnswer: -44562*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v - 2. Let a be c(4). Let f be 9\/(-3) + a - 47. What is the units digit of (-13)\/(-6) - (-8)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 1, 5, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 29*n**2 + 2*n + 1. Let k be c(2). Let l = k + -47. Round l to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 58470 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of -11.38806 and 0.9.\nAnswer: -10.249254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 2\/381, -1, -1\/3?\nAnswer: 2\/381","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -2*o - 13. Solve 5*n = -o - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 14\/15 and -125\/690658824.\nAnswer: 3453294120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i = k + 4 - 3, 4*i + 362 = 299*k + 67 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = i - 3*u, 5*i + u - 45 = -4*u. What is the remainder when 13 is divided by i - (2 + (2 - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -560395 times 0.067\nAnswer: -37546.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 36779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, -377\/19, 17, -4, 5, -0.12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1028\/15 + 187\/3. Let p = 404 - 2411\/6. Find the common denominator of p and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 200885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8242714?\nAnswer: 2, 31, 132947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -63\/1742 and 55\/54592.\nAnswer: 47549632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 598, 0.1, -3, -1\/31 in ascending order.\nAnswer: -3, -1\/31, 0.1, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {q: 6, m: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 35*h**3 - 19959*h**2 + 432165*h - 9 wrt h.\nAnswer: 210*h - 39918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -c**2\/11 + 127*c\/11 - 952\/11 = 0.\nAnswer: 8, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -12 (base 8) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -94.7 - -95. Which is the third biggest value? (a) i (b) -17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 156494.\nAnswer: 2, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 152967053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.07 and -216.081.\nAnswer: 15.12567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -369*n + 9757. Let o(c) = 784*c - 19513. Determine 17*m(u) + 8*o(u).\nAnswer: -u + 9765","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 0 - r**2 - 3 + 1 - 11*r - 5. Let j be w(-10). Suppose 3*y - 5*i = -2*i + 18, -2*i = 5*y - 2. Solve 0 = -y*z - t - 4, j*z - 4 = -0*t - 4*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**2 - 24*o - 761. Let x be i(43). Let p(u) = -u**3 - 6*u**2 + 7. Let l be p(-7). What is the highest common factor of l and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:36 PM and 1:43 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28681360?\nAnswer: 2, 5, 67, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -135*z**3 + z + 21 + 558*z**2 - 1148*z**2 + 591*z**2 in the form f*z + i*z**2 + l*z**3 + k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 - 23 + 11)*(-7*w - 17*w - 24*w).\nAnswer: 960*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 - 5*j - 14. Let k(w) = -30*w - 6. Let t be k(0). Give v(t).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1220 (base 4) in base 9?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 20566?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jwwjjwwjwjjwj. Give prob of picking 4 w.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 26*l**2 + 11*l + 50. Let v(m) = -37*m**2 - 16*m - 75. Calculate 7*b(u) + 5*v(u).\nAnswer: -3*u**2 - 3*u - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yiyu when four letters picked without replacement from {i: 7, q: 1, u: 1, y: 5}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(90)\/(sqrt(18)*-3))\/((-1*sqrt(90)*2)\/sqrt(10)).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together -27211 and -59.8343.\nAnswer: -27270.8343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -34 + 40. Suppose 69 = 9*x - j*x. Suppose -b = -12 - x. What is the greatest common divisor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -221, -443, -667, -893, -1121, -1351, -1583?\nAnswer: -1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*v + 2*v = 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from gbggbbggbbbgb?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the second derivative of 223\/6*u**3 + 0*u**5 + 169*u + 0*u**2 + 0 - 331\/30*u**6 + 0*u**4. Find the second derivative of r(x) wrt x.\nAnswer: -3972*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*i - 23 = -68 + 125. Solve 0 = -z + 4*d + 13, 4*z - 9 = i*d + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5357*k**4 + 3329*k**4 + 3195*k**4 + (-k + 0*k + 3*k)*(-2*k**3 + 3*k**3 - 2*k**3) in the form u + y*k**3 + t*k**4 + f*k + d*k**2 and give t.\nAnswer: 1165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -19 - -10033?\nAnswer: 10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 217 divide 799976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -8*i**4 - 23*i**3 - 18*i**2 + 23*i + 23. Let p(q) = 9*q**4 + 24*q**3 + 19*q**2 - 24*q - 24. Let t(k) = 4*c(k) + 3*p(k). Solve t(x) = 0 for x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 375 = 399. Let d be (1 - (0 + 2))*5. Let k(v) = 6*v - 5. Let y(u) = -4*u + 3. Give d*k(r) + w*y(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.9 and 308.084.\nAnswer: 308.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1025667, 1025679, 1025707, 1025757, 1025835, 1025947, 1026099?\nAnswer: 1026297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 + 8. Let j be v - (-3 + 1 + -1). Let g be 2 + -3 + 0 + j. Solve 0 = g*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in l**2 + 332 - 332 - 11*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*r - 22*r = -4*s - 1900176, s = -5*r + 2375262. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 262\/35 - 51\/7. What is the closest to -1\/4 in -2\/27, 1, m, -1?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -687.9 + 690.691. What is m rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 178 and 428268?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -2*t**2 - 556*t = 0.\nAnswer: -278, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 214*p**6 - 14*p**2 wrt p.\nAnswer: 25680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2\/4 - (-31)\/2 and (2\/(-12) - 65\/6)*-2.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 0.53 (c) -32 (d) 0.05 (e) -4\/3 (f) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -750 = -4*t - 3*o - 17, 384 = 2*t - 2*o. Let y(j) = t + 0*j - 170 - j. Determine y(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3487 divided by -19.\nAnswer: -3487\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 25*y**2 + 10*y - 20. Is 60 a factor of m(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.5 - -1.7. Let o = 7.8 + v. Let k = o + -13. Which is the third smallest value? (a) 12 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + 6 = 2*f. Let y(n) = -2*n + f + 3*n + 2. Let q = -22 + 18. Calculate y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 58509857 or 58509838?\nAnswer: 58509838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -738 - -521. Let x = n + 337. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*-3 - 380\/57 - -12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-14))\/(-5*198\/3080) + -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 + -1. Suppose v = 4*w - 7*w + 5*g + 406, -4*w + 483 = 5*g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ffff when four letters picked without replacement from fmmfmfmmfmfffm?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17503*o + 236*o - 57292*o.\nAnswer: -39553*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**5\/l*l)**35*l*l\/l**(4\/11)*l**(4\/5)\/l*l assuming l is positive.\nAnswer: l**(11684\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -89ac (base 15) in base 4?\nAnswer: -13020003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p + 10. Let t be g(-6). Let v(y) = 2*y**2 - 5*y + 2. Let x be v(3). Suppose x*q - t*q = 77. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/15 - (-3828)\/145) + -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.012 + -1874036613911?\nAnswer: -1874036613910.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 2 = 2*x. Let z = -4400\/169799 + 37\/889. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.2, -84, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-94)\/198 - (-8176)\/22484) + 377\/(-9).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00839 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/50968820 and 101\/3430?\nAnswer: 356781740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65) + -5*(sqrt(65)*-3 + sqrt(65)) + sqrt(65))\/(sqrt(120)\/sqrt(6) - sqrt(20) - sqrt(20)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 - -288. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from vlxpxlvlxppvlvx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the second derivative of b**3\/2 + 3*b. Let s(v) = 0 - v + 0. What is m(h) + 2*s(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -c*j**2 + 5*c*j + 4*c - 3326*j - 17418 wrt j.\nAnswer: -2*c*j + 5*c - 3326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13533396\/74063 + -6\/6733. Let t = k - 183. Suppose 5*u + 1 = -4. Which is the smallest value? (a) u (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3 - -12) + (-9)\/3. What is the units digit of (-275)\/(-4) - t\/(-48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 31.001 and 2911477789.\nAnswer: 2911477820.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 88*v = 85*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from riufurfufurrrffrf.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11784\/184 - 979\/22517?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/10 - ((-4)\/10)\/(136\/51). Let m = 3\/23 + -79\/253. Which is the nearest to 0? (a) p (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 36308512 and 0.3.\nAnswer: 10892553.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 15963 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -17676 - d97?\nAnswer: -1862d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 6*i = 2052951, -2*m + 5*i + 1690460 = 321832. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 70216776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 15*q + 13*q = 0, f + q - 7 = 0. Put -1, 72, -4, f in ascending order.\nAnswer: -4, -1, f, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 - 18 + 97*c + 2.\nAnswer: 97*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(3\/4))\/(d\/(d\/((d*d**(-10)*d)\/d))) assuming d is positive.\nAnswer: d**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of ((-1)\/5)\/(15\/(-30))*2310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**11\/w*w**8)**(-37)*(w*w*w\/(w\/(w\/((w\/(w*w**4))\/w)*w)*w)*w*w*w*w*w*w**(2\/9)*w)\/(w**(-1))**25 assuming w is positive.\nAnswer: w**(-5974\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(1900) + -1)*2.\nAnswer: -6 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4506972 divided by 51.\nAnswer: -88372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -2437*k - k**3 - 5*k**2 + 10 + 2447*k + 0*k**2. Determine m(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -137131, -274243, -411355, -548467?\n\"Answer: -137112*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2425888374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -41175040, -82350083, -123525136, -164700205, -205875296, -247050415, -288225568, -329400761?\n\"Answer: -j**3 + j**2 - 41175039*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 22*c**2 + 4*c - 10. Calculate g(-3).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a + j = -3, -3*j + 23 = 3*a - 7*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4204 divided by 1.\nAnswer: -4204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -9*k + 3*k + 2*k + 5*k. Let g(b) = -b + 1. Let u be 2*1\/2 - 2. Let c(y) = y**2 - 2*y + 2. Let a(f) = u*c(f) + 2*g(f). Calculate a(m(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*(t*t*t*t*t**9)\/t)**(-27)\/((t\/t**(-25))\/t**(-2\/9)) assuming t is positive.\nAnswer: t**(-3395\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 - 2)*(d + d - d + (-5*d + 4*d - d)*(-1 - 2 + 4) - d - 3*d + 3*d) - 5*d + 5*d + 7*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1972455377 to the nearest integer?\nAnswer: 44412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 5*j + 1. Let u be k(6). Let i = u - 0. Let a = -14 + i. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-10)\/(320\/144))\/(2\/4). Let f be ((-8)\/(-20))\/(2\/44). Let r = f + h. Which is the third smallest value? (a) r (b) -0.1 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the second derivative of -5*y**3\/2 + 27*y**2\/2 + 25*y. What is the first derivative of x(n) wrt n?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25661712 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put together 28.591 and 0.1836.\nAnswer: 28.7746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -31.95 to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -90082, -89621, -88858, -87793?\n\"Answer: 151*y**2 + 8*y - 90241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(51) - 4*-1*sqrt(51))\/(3*sqrt(48)))**2*5*-6.\nAnswer: -2125\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-1\/4)*j)**(-9\/7)\/((j\/j**(-4)*j)\/(j\/(j\/j**5))) assuming j is positive.\nAnswer: j**(-55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -3*n**3 - 147*n**2 - 174*n - 6. Let o(q) = -9*q**3 - 440*q**2 - 526*q - 19. Let u(x) = -6*o(x) + 19*z(x). Let u(a) = 0. Calculate a.\nAnswer: -50, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8 and 5672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0014483 rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 13, y: 6}. What is prob of sequence ynn?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 907 divide 7493634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2954066021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -9*x + 1. Let m be p(1). Suppose 13 = -2*o + 3*o. Let s = o + m. Solve -h = -s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1452151*f**2 + 1452154*f**2 - 7*f + 0*f.\nAnswer: 3*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14 + -7. Let t = 3 + -6. Let f = t + n. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the third derivative of b**8\/181440 + b**7\/11340 + b**6\/2160 + 7*b**5\/60 + 8*b**2. Let y(q) be the third derivative of j(q). Factor y(r).\nAnswer: (r + 1)*(r + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from elnggmnceece. Give prob of sequence ge.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 - 3. What is the common denominator of (-2)\/(-1) - ((-50525)\/240)\/(-43) and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 116*x**3 - 60*x**3 - 70*x**3 - 2*x**2 in the form t*x + c*x**3 + o + z*x**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*x - 512 - 943 + 246 = 0 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qwj when three letters picked without replacement from wqqnnwnwqnqqqwjnnj?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -25 - -11. Let h = w + 20. Calculate the smallest common multiple of h and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 AM and 7:04 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o + 4*k - 1 = 0, -5*o - 16*k + 14*k = 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:09 PM and 8:20 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -19*p**3 - 4*p**2 - 4*p - 7. Let h(v) = -20*v**3 - 3*v**2 - 3*v - 8. Let y(n) = -4*h(n) + 3*u(n). Find the first derivative of y(f) wrt f.\nAnswer: 69*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 48*j**3 - 9*j. Let k(q) = 193*q**3 - 39*q. Calculate 6*k(l) - 26*t(l).\nAnswer: -90*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18555?\nAnswer: 3, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((-5 + -4*(((sqrt(120) - (sqrt(120)*-2 - sqrt(120))) + sqrt(120))\/sqrt(2))\/((sqrt(120)*2)\/sqrt(10)))**2 + -2).\nAnswer: -2092 - 400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 21 = 245. Let g(q) = -q**2 - 24*q + 326. Let s be g(11). Let d = s - j. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 4*s = 35, -2*a + 46 = 515*s - 512*s. Solve -x - 4*k = -a, 4*x - 40 + 11 = -3*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 4*v + v**2 - 5 - 3 - 4 + 5. Determine o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*c - 1 + 36*c + 24*c + 1 to m*c + q and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -957 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 45113 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 - 0. Let u = -0.9 + b. Let g = u + 2.9. Which is smaller: g or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**2 + 3*v - 8. Let t be i(-6). Let m = t + -6. Suppose 3*n + 3*c = 69, 73 = 4*n - c - m. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-525)\/(-630))\/((-2)\/(-12))*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i**5 + 90*i**4 + 708*i**3 - 14472*i**2 - 63264*i - 64512 = 0.\nAnswer: -12, -2, 14, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3684 - 25808\/7. What is the common denominator of 58\/507 and z?\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 3*l**2 - 3*l - 5. Let t(c) be the third derivative of -c**5\/60 + c**4\/12 + c**3\/2 + 8*c**2 - 2. Give 3*d(q) + 5*t(q).\nAnswer: 4*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -120, -200, -312, -450, -608, -780, -960, -1142?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 35431614 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/1638 and -113\/3276.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -14*y + 5. Let x(u) = -153*u + 54. Let c = -400 - -395. What is c*x(w) + 54*f(w)?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -406*j - 7740. Determine a(-24).\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 70 - 82 = -6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18968 + -6.\nAnswer: -18974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 10:58 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -61\/11 + 741\/88. Let w be -1 + 4 - 93168\/31086. Let i = -184719\/24178 - w. What is the common denominator of g and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -705 - -2784. What is the biggest value in h, 1, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 117\/645230 and 119\/5710?\nAnswer: 645230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3543471)\/56259 + 38\/(-2527).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/1296 and -67\/288?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 232 - 233. What is the second smallest value in 4, a, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -2*y**2 + 21*y - 43. What is o(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 3, z: 1, t: 5, p: 5, u: 3, v: 1}. What is prob of picking 1 z and 1 v?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 41 + -39. Suppose -k*n = 21446 - 1381446. What is n rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1331131 + -22121?\nAnswer: -2013312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-9 + 3 + 4)*(-1 + 1 - 4)*(-48*u**3 + 24*u**3 + 26*u**3 + 88*u**2) as s + v*u**3 + t*u + a*u**2 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 155 - 93. Let f = s + -79. Let d = f + 19. Is d >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 28313?\nAnswer: 2\/28313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 + -3 + 0 + 47. Let o = -39 + u. Suppose 22*k + o = 24*k. Solve -2*b + r - 4 = k*b, 3*r - 12 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-294)\/(-15) - (-2)\/5. Let f = v - 8. List the prime factors of (-4)\/(3\/f*-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 664, 2517, 5606, 9931, 15492, 22289?\n\"Answer: 618*g**2 - g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 115417573?\nAnswer: 17, 6789269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 2*o + 10 = 5*o, -8 = -4*k - 4*o. Suppose -w = -4*w - 2*b + 29, 5*w - 43 = -k*b. What is the remainder when 20 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**3 + 4*y**2 + 7*y - 2. Let l be s(5). Let t be 36\/(-324) - (-1154)\/18. Calculate the greatest common divisor of t and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5600) + -2*sqrt(5600))*-6 - (-1*-1*sqrt(5600) + sqrt(5600) + sqrt(5600)))\/(-4*sqrt(968) + sqrt(56)\/sqrt(112)).\nAnswer: -24*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 PM and 12:23 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 65, 152, 263, 404, 581?\n\"Answer: h**3 + 6*h**2 + 62*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -23310211 + 410?\nAnswer: -23304301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19*-1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 81723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in fourty-eight fifths of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 299 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3 + 1571*r**2 - 10133*r + 4674.\nAnswer: -(r - 779)*(r - 6)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-9))**(-20)\/((o**(-8\/9)*o)\/o*o*o\/((o\/(o*o**(-3\/2)))\/o)))**(-2\/29) assuming o is positive.\nAnswer: o**(-3229\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 3975.838mm?\nAnswer: 397.5838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4146, -10098, -16050, -22002, -27954?\nAnswer: -33906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1039*p**4 + 8*p**3 - 11*p**2 + 4049100*p wrt p?\nAnswer: -12468*p**2 + 48*p - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 - (-4 - (-2 - 2)). Let n(t) = 7*t**2 + 3*t - 3. Let h be (3\/(-3))\/(2\/(-3 - 1)). Let z be n(h). Put z, v, 3, 5 in ascending order.\nAnswer: v, 3, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 + 445145240?\nAnswer: 445145240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 122663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 7.887764338 rounded to 4 decimal places?\nAnswer: 7.8878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3550437 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 7 - 3 = 0. Let f be 5\/(-2)*(-16)\/o. Calculate the highest common divisor of 36 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the second derivative of -1109*p**8\/56 - 319*p**4\/4 + 724*p. What is the third derivative of j(x) wrt x?\nAnswer: -133080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -871 + 869. Let c(q) = 60*q**3 + q**2 - q - 1. Let l be c(-1). What is the remainder when (-7 - -4 - d)*l is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -2*o**3 - 4*o**2 - 7*o - 4. Suppose -17 = -10*b - 67. What is the hundreds digit of k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 12*m**3 - 40*m**3 - 2*m**4 - m**4 + 16*m**3 + 9 + 10*m**3 - m in the form s*m + w*m**2 + f*m**3 + p*m**4 + r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + s - 280 = 0. Suppose -o - 3*j + 78 = 0, 3*o + 2*o - 4*j - 333 = 0. Let u = s + o. Round u to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-2\/11)\/g*g)\/g)\/g*(g**(-4)\/g*g)\/g assuming g is positive.\nAnswer: g**(-79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - -12423?\nAnswer: 12426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -19, -81, -183, -325, -507, -729?\n\"Answer: -20*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -58? (a) -0.1 (b) -1\/9 (c) 324 (d) 1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 7*(-10)\/(-280)*36\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 50804 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 + 11. Let w = 15 - 24. Let d be 5\/w*c\/20. Which is bigger: 1\/3 or d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -26*m**6*o - 3*m**4*o + 75*m**2*o + m**2 wrt m?\nAnswer: -3120*m**3*o - 72*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/8)\/((-3813)\/(-328)) + 2137\/(-31).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h**(-1)*h*h)\/h)**(-13)*(h*h\/(h*h**1*h))**(-5\/6))**(-23) assuming h is positive.\nAnswer: h**(1679\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 390 a factor of 903556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-2)\/(-5))\/(7 + 51512\/(-7360)). Let y = -156 + z. What are the prime factors of y?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 6*b**2 + 93*b. Let i(f) = -f. Determine l(i(o)).\nAnswer: 6*o**2 - 93*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -114380716*b**2 + 7106710.\nAnswer: -228761432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 3*c = 90, 0 = -3*r + 6*r - 3*c - 90. Let i = r - 9. What is the remainder when 83 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (792\/45 - 18)\/(4\/18). Which is the second biggest value? (a) 5\/3 (b) 2\/5 (c) -0.3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -878, -1610, -2258, -2774, -3110, -3218, -3050, -2558?\n\"Answer: 8*z**3 - 6*z**2 - 770*z - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.11, 5\/3, 3, 4, 1\/22, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 561 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-37 - -22) + 25 + 3 - (-1 + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + -2604565?\nAnswer: -2604560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -8552*s**3*z + 3*s**2*z**2 + 2*s - 4*z**2 + 70928*z + 1 wrt s.\nAnswer: -25656*s**2*z + 6*s*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -246 - 336 + 3*k + 459 in the form a + s*k and give a.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 2*f**2\/13 + 4651508*f\/13 + 2704565834258\/13 = 0.\nAnswer: -1162877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: ((-35)\/77)\/(2\/1 + -7)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jeimedejmgme. What is prob of sequence em?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be -4*2*(-1 - -3). Let x = 22 + a. Solve -2*p = -x - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a**3 - 3*a**2 + 4*a**3 - 3*a**3 + 3*a**3 + 2*a**4 - a + 2 + 2*a**4 in the form q*a + s*a**4 + k*a**2 + t*a**3 + z and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 496*u + 1. Let d(g) = g**2 - 4*g + 40. Let r(h) = 3*h**2 - 9*h + 90. Let w(x) = -9*d(x) + 4*r(x). Determine w(o(j)).\nAnswer: 738048*j**2 + 2976*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 - 2.9. Which is the nearest to w? (a) -1\/4 (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-96)\/(-8)*((-15)\/(-5))\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27 + 25. Let b = 53 - v. What is the second smallest value in b, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 + 6. Suppose 5*h = -2*y + 1, -3*h - j = y + 2*h. What is the third derivative of -3*i**2 + 3*i**2 - 4*i**5 + 3*i**5 + y*i**2 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of -125*v**2\/2 - 18*v + 9. Let m(x) = -63*x - 9. Let i(o) = 3*a(o) - 7*m(o). What are the prime factors of i(3)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (5\/(-5))\/(-1 + 958760\/958750). What is z rounded to the nearest one thousand?\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3957*l**2 - 7424*l**2 - 7353*l**2)*(2 + 2*l - 2) in the form o + z*l**3 + b*l**2 + t*l and give z.\nAnswer: -21640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g**2 + 227350*g - 70222245 = 0. Calculate g.\nAnswer: 311, 45159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -5, 9935, -1, 2, -4 in increasing order.\nAnswer: -5, -4, -3, -1, 2, 9935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**6*h**9*(h\/h**(28\/9))\/h**(2\/75) assuming h is positive.\nAnswer: h**(2894\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes before 5:57 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, x: 1, g: 6, u: 4, f: 2}. Give prob of picking 1 x and 1 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1852, -3697, -5530, -7345, -9136?\nAnswer: -10897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -89583, -179164, -268745, -358326?\n\"Answer: -89581*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -529 - 534 + 1597 - 534 - 4*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 9998, 20001, 29992, 39965, 49914, 59833, 69716?\n\"Answer: -f**3 + 10010*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -2*q - 8. Let u be g(-6). Suppose 9 = -4*l + 17. Suppose 4*x = -2*f + 44, 2*x - l = 2*f - 16. Solve j = u*j + f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-32)\/24*((-30)\/(-140))\/(24\/28)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2360\/17529 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 7221 at most 657170\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 17*g - 1. Let r be q(1). Let v be (-8)\/r + 9\/2. Suppose 4*d - 20 + v = 0. What is the lowest common multiple of d and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23335 - 6349 = 894*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**2 + 8*r - 11. Determine c(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**17*d)\/d*d*d\/(d*d**(-11))*d assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:04 PM and 3:06 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be -2 - -1 - (0 + 278). Let w = y - -519\/2. Let j = -30\/503 + -23281\/6036. Find the common denominator of w and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + 6 - (76 - (104 + -63))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13058 + -13065. Let o(r) = 11*r + 26. Calculate o(z).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 118\/16 + (117\/24)\/(-13). Solve -2 = -i - b, 4*i + u - 1 = 3*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.5 and -1231.\nAnswer: -1231.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 AM and 5:22 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6289118 and 192852.\nAnswer: 10714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from ummuuuumumumu.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 77*d - 78*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1362346 to the power of 1\/2, to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1970*y = -1981*y + 186527. What are the prime factors of y?\nAnswer: 31, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 34 = 3*n, -w + 7 + 16 = -3*n. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 314235 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3347022 and 478146.\nAnswer: 3347022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 224 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -4*g - g + 2*g**2 + 6*g - g**3 as l*g + o*g**2 + w*g**3 + d and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (382*k + 56*k - 23*k)*(3*k**2 + 2*k**2 - 3*k**2 + k**4 + 2*k**3).\nAnswer: 415*k**5 + 830*k**4 + 830*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-5)\/9)\/(4\/(-72)). Let c(o) = -32. Let r(n) = n - 1. Let p(a) = -c(a) - 3*r(a). Let w be p(i). Solve w*g - 15 = 5*h, 3 + 1 = 4*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4567121474 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in one half of a kilometer?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let n = 5.13 + -0.13. Let t = n + -1. Let r = -164699 - -164699.5. Sort t, 0.1, -0.1, r in increasing order.\nAnswer: -0.1, 0.1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times -14?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 5) to base 16.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 167*y - 4002. Let o be z(24). Solve o*q = -2 + 38 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1029 + -2008. Is 0 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(242) - ((3*sqrt(242))**2 + -5)) + -5 + (2 + sqrt(242))**2 + ((sqrt(242) - (sqrt(242) - 2*sqrt(242))*-4) + sqrt(242) - (3 + (sqrt(242)*1)**2)).\nAnswer: -2177 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 20134 or 20132?\nAnswer: 20134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 19.438884 months?\nAnswer: 0.1619907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3490.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2829, 2869, 2937, 3033, 3157?\nAnswer: 3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*q**3*r + 117*q**3 + 2*q*r - 3*q + 3*r + 43 wrt q?\nAnswer: -18*q*r + 702*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 101 a factor of 1604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 391340.\nAnswer: 2, 5, 17, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**4 - 210*v**3 + 7683*v**2 - 80668*v + 238140.\nAnswer: -(v - 14)**2*(v - 5)*(v + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 34 = 64. Is 15 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -22702\/427 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 1496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 134 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -5*f. Let b(j) be the first derivative of 0*j + 18 + 0*j**2 + 0*j**4 - 11\/3*j**3 - 1\/24*j**5. Let r(k) be the third derivative of b(k). Give i(r(a)).\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*y = -9*y - 124 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 510 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 8*n - 3. Let m(z) = 8*z - 4. Let u(w) = 3*m(w) - 4*s(w). Let v(y) be the third derivative of y**4\/8 - 5*y**2. Give v(u(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2*1 + (9 - 9). Suppose -2*h - x*s + 12 = 0, -3*h + 0*s = s - 14. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 2*a + 9, 3*a = 3*g + 81. Which is bigger: -31 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 27703934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d\/(d*d**7*d)))**(-2\/15)\/(d**(-6)*d)**(1\/5) assuming d is positive.\nAnswer: d**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 32438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 24 - 2*i**2 - 38 + 21 as h + k*i + z*i**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4854466497?\nAnswer: 3, 79, 20482981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - -15836913311?\nAnswer: 15836913314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t + 0*t - 27 = -q, 5*q - 21 = q + q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 + -23*2\/(-2). Let o = -1 + f. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 333 and 126996173.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a - 5. Let q(i) = -5*i + 22. Let o(p) = -6*b(p) - q(p). Calculate o(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 15 = -5*m, -m = -b - 4*b + 11. Solve 3*h + 2*q + 29 = -b*q, 4*q + 17 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 2*m**2 + 788*m - 4801. Give k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -28*f - 35*f + 67*f + 6*f**2. Let a(p) = 2*p - 2*p**2 + 3*p + 9*p**2. Give -4*a(m) + 5*t(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(125) + 5*sqrt(125) + 0)**2 - (sqrt(180)\/sqrt(4) + 5).\nAnswer: -3*sqrt(5) + 4495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 8726730*0.1\nAnswer: 872673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -151400\/63 - -2404. Calculate the common denominator of k and 41\/15.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0157167586 rounded to five decimal places?\nAnswer: 0.01572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 270168 by -12.\nAnswer: -22514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = d - 5*f + 13, -52*d + 54*d - 18 = -f for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) 9\/2 (b) 83 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 3*d = 1554, 2*k - k = -2*d + 515. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x - 7. Let d be k(6). Are d and 1\/46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u + u**4 - u)*(2 - 3 + 0) + (-6*u**2 - 7*u**2 - 4*u**2)*(5*u**2 + 49*u**2 + 42*u**2).\nAnswer: -1633*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (7\/1)\/(-7)*(-8)\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5312 - -5311.6. What is the fourth biggest value in 15, -4, -5, 2\/11, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 75 and 13132275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y be 32 + -2 + (-4)\/(12\/9). Solve 3*x = -3*c + y, -3 = 3*x + 2*c - 5*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -86645*o - 692370 wrt o?\nAnswer: -86645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, -8, -1, -5, 0, -11373 in decreasing order.\nAnswer: 0, -1, -5, -8, -18, -11373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 66 = -30. Suppose -5*u + 545 = -5*t, 195 + 32 = 2*u + t. What is the greatest common factor of m and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes before 4:56 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s**2 - s + 1. Suppose 0 = 5*b + 3*c + 5, 0*b + b - 2*c - 12 = 0. Let w(a) = 3*a**2 - a - 5*a**2 + 11 - 4 + a**b. Let k be w(-3). Calculate u(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 207*t - 74. Let d = -699 - -703. Does 29 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*u = 7097 - 1674. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21054043 (base 6) in base 8?\nAnswer: 2257013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 96 = -283. Let s = h - -632. What is the greatest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 5*s**2 + 16*s. Let i(x) = x**2 + 2*x - 6. Let g(t) = -2*i(t) + j(t). Find k, given that g(k) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*a = -45*a + 13216. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.1 (b) 2650416 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rvvvvrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 41 + -39.3. Let c = 1.56 - x. Let g = -0.36 + c. What is the closest to -0.1 in g, 1\/4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 1358*w - 4. Let a(j) = 679*j - 2. Determine -5*a(h) + 2*p(h).\nAnswer: -679*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyhhyyyhhhhh. What is prob of picking 2 h?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {y: 2, p: 2, z: 4, g: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -286*f - 279*f + 567*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 5 + 3 + (-27 - 5 + 1)*(1 - 4 + 1))*(-s + 97 - 97)*(0 - 1 - 1) as u + y*s and give y.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.153 - 0.147. Let k = -6 - -6.4. Which is the smallest value? (a) k (b) 1\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.06 - 0.34. Let g = n - 3.6. Let w = -0.01996 - 0.48004. Which is the nearest to -0.2? (a) 5 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 3*x - 68. Let b be n(24). Suppose -144 = b*k - 8*k. What is the greatest common divisor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -440.9088662 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 764.2267 weeks?\nAnswer: 462204308160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 7 - 4*(-1)\/(-2). Let f(r) = -104001*r**3 + 6*r**2 - 6*r + 5. Let k be f(g). What is k rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -18 - -41. Differentiate 29*j**2 - t*j**4 + 23 - 29*j**2 with respect to j.\nAnswer: -92*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 13284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 g, 1 t, and 1 b when four letters picked without replacement from sjsbgsmtmstgjmgbmgs?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*q + 5*q + q)*(-81 + 31 + 62 + 71*q) + (3*q - q - q)*(-q + 3*q + 0*q).\nAnswer: 73*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t - 22*b + 20*b = -22, -2 = t + 2*b for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 5139441 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 781932 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**2 - v + 15. Let d = 919 - 879. Calculate the remainder when u(9) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 328 + -130. Let f be y\/90 + (-4)\/(-5). Solve -9 = -f*n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3592 + 21545\/6. Let f = -5.2 + 5. Is s greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 3 = -2*j. Suppose -3 = w - 6. Put w, -2, j in decreasing order.\nAnswer: w, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 less than or equal to -992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 3 (c) -32846\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 23103333?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -25*u**3 + 51002*u**2 + 818320*u - 65792 = 0.\nAnswer: -16, 2\/25, 2056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3, -4, -3, 0, 5, 12?\n\"Answer: f**2 - 4*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 6890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the third derivative of n**6\/20 - 7*n**5\/20 + 30*n**2. Find the third derivative of b(a) wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 428 + -428.358. Let k = a - -3.498. Round k to 1 decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j - 18 = -38 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-27)\/6*(14 - 2). Let i = j + 160\/3. What is the closest to i in 3, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 214 and 522695.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -4*l**2 + 7*l**2 + l**4 - 19*l**2 + 5*l - 4*l in the form p*l**4 + z + g*l**2 + a*l + q*l**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.9 + 1. Let o = -1 - -3. Let i = 1.5 - o. What is the second smallest value in i, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1928098 is divided by 250?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11316050?\nAnswer: 2, 5, 17, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 66 - 61. Suppose x*h + 4*d - 4379 = 0, 4*h - 3*d - 1076 - 2452 = 0. Round h to the nearest 10.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 2b1bf (base 16) to base 10\nAnswer: 176575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -2, 0.01, 466?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -118 divided by 118\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-6)*11*12\/484\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 198 * 0.035698\nAnswer: 7.068204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 119800939 or 119800941?\nAnswer: 119800939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 93, 120, 190 in increasing order.\nAnswer: 2, 93, 120, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*v**2 + 3*v**2 + 0*v**2)*(17446 + 2163 + 5467).\nAnswer: -25076*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 47397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -9*g**2 + g + 84. Let p be m(10). Let x = 1222 + p. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 7*((-26)\/(-28))\/(100\/(-80)*4\/10)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -93138 (base 14) to base 12.\nAnswer: -150ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 28800 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 117 minutes before 5:36 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 - 2*l**2 + l + 3. Let t = 17 + -17. Let g be x(t). Solve 0*d + 4*m = -g*d + 22, 10 = -3*d + 4*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 + 22 = -z. Which is the nearest to -3\/2? (a) 0 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1373 or -5\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12749 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 460 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 158 + -124. Let g(p) be the first derivative of 21\/20*p**5 + 111\/16*p**4 + 33\/2*p**2 + 6*p + 33\/2*p**3 + c. Suppose g(s) = 0. What is s?\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 - 51*g**3 - 30*g**3 + 2*g**4 + 71*g**3 to p*g**3 + x*g**4 + t + y*g + q*g**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 56171*j - 3136 = 56395*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -2*h + 490. Suppose -5*z + 2*c - 22 = -4*z, 5*z + 2*c = -h. Is z at least as big as -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 - 11.8. Let k = 1.3 + l. Which is the nearest to 1? (a) 0.3 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12 - 2. What is the highest common factor of 70 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**1)**(1\/22)\/(i\/(i*i**(-1\/3)*i))**(26\/3))\/((i**(2\/13)\/i**(-3))\/(((((i\/i**(-7))\/i)\/i)\/i)\/(i**(-7)*i))) assuming i is positive.\nAnswer: i**(35185\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve v + 6 + 7 = 3*q, -2*v = -3*q + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes after 5:14 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -446754*v**4 - 56165*v**2?\nAnswer: -10722096*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 6.7, -10, 0.2, 4.\nAnswer: -10, 0, 0.2, 4, 6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 699 - 689.04. Round q to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000353632 rounded to 7 decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/25*(-560670)\/(-36). Let q = 2498 - l. What is the common denominator of 17\/36 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -64 - -322\/5. Let n = -446 - -482. Let d be (18\/8)\/(n\/60) + -4. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vtg when three letters picked without replacement from {t: 2, y: 10, v: 2, s: 1, g: 2, p: 1}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 4*f. Let c be ((-4)\/(-2) - -2) + -1. Let g(o) = 415057 - 8*o - 415057. Determine c*g(x) + 5*d(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, q: 4, y: 3, e: 2, v: 2}. Give prob of picking 3 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -56\/27 and 67\/124854.\nAnswer: 1123686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -267 (base 11) in base 7?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -6382492, 5, 2 in increasing order.\nAnswer: -6382492, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3313220 (base 4) to base 7\nAnswer: -64130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 140124, 280257, 420390, 560523?\n\"Answer: 140133*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 138 + -138.67. Let r = z + 0.584. Round r to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(11) + -1 + 2 - sqrt(11)) + sqrt(11)))**2.\nAnswer: 18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16741 + 43100. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(70)\/(sqrt(10) - (sqrt(80)\/sqrt(2) + sqrt(10) - sqrt(10)) - sqrt(10) - sqrt(10)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 222438*z = -4*x + 222440*z - 10, 3*x = -z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the second derivative of n**5\/90 - n**4\/54 - 2*n**3\/27 - n. Let h(b) = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 145 minutes before 11:16 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1ba (base 14) to base 2\nAnswer: -101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-102)\/85)\/(10\/(-2325)). Calculate the highest common factor of 124 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -299 - -429. Let b = g + -91. What is the first derivative of 6 - 3 - b*a - 9 wrt a?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 5*l**2 + 3*l + 14. What is the lowest common multiple of 20 and c(6)?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 + 8 = -4*s. Suppose 33 = s*h - 62. What is the remainder when 37 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*t + 4*f + 4 = 19*t - 5*t, 0 = 4*t + 109*f + 325 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 4 = -13. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*n - 4*n. Suppose 5*o - 165 = -5*i, n*o - o + 13 = -4*i. Suppose 80 = 43*t - 33*t. Calculate the remainder when o is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**4\/13 - 126*g**3\/13 + 2538*g**2 - 117234*g + 1642680.\nAnswer: -2*(g - 39)**3*(g + 180)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in -5, -1\/1430, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -23 + 11 + 1 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {v: 5, q: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 9*x**2 - 31 - 10*x**2 + 24 + 2.\nAnswer: -x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -84*f**2*g**2 - 2*f*g**2 + 5*f wrt f.\nAnswer: -168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/212 and 67\/4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 666 a factor of 131660296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 4*s = 2*g + 6, 0 = 2*g + 5*s + 16. Suppose g*o + o = 0. Suppose 4*t - 12130 = 3*x + 6285, o = -3*t + 5*x + 13825. Round t to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -42847 + 78954. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -12 - 2 + 5*f - 32 - 18. Let v = -580 - -601. List the prime factors of z(v).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -994707*x**3 + 497350*x**3 + 497352*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1366, -2\/11, -8, 0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r**3\/6 - 247*r**2\/6 - 14875*r\/6 + 15625\/2 = 0. Calculate r.\nAnswer: -125, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11 - -25. Let i be 46\/q - (-6)\/(-21). Is ((-111)\/(-6))\/(i\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 43) + 8121 + -8065.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p + 11. Let d be v(-10). Let n be d\/((-1)\/12*-3). Suppose -1 = n*h - 17. Solve -h*b - 12 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzkzzllhlqkhhkhyy. What is prob of sequence zlqz?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes after 1:49 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes after 10:28 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 10\/7 of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.10984 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.008 * -71218.\nAnswer: -569.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f - 1. Let u be h(-10). Let z = u - -21. Calculate the greatest common factor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in fifty-one halves of a millennium?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u**2 - u**2 - 3*u**2 - 2*u**2 + 4*u**2 + u**2 + (1 - 1 + u)*(u - 4*u + u) + 4*u**2 - 4*u**2 + 3 + 3*u**2.\nAnswer: 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/(-14)*(572\/(-88) - 1*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4564*x - 624*x + 10231*x + 3974*x to b + g*x and give g.\nAnswer: 18145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2*4\/(-16)*0*(-10)\/50. Is 150 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -35 + 2*y**3 + 6*y**2 - 4*y**2 + 52 - y**3 + 2*y**3 + 0*y**3 + (-1 + 1 + 2*y)*(0*y**2 + 2*y**2 - y**2) to h*y**2 + i*y + m*y**3 + w and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (3*sqrt(300) + -3 + sqrt(300))*-2 - 2*(sqrt(300) + 4*(sqrt(300) + -2) - (3*2*sqrt(300) + sqrt(300))))**2.\nAnswer: -1520*sqrt(3) + 5161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 716488a + 2?\nAnswer: 716488c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k - 6 + 4. Put 2, 5, k in ascending order.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + sqrt(19) + (sqrt(19) - sqrt(209)\/sqrt(396)) - -1*sqrt(19)*6 - (-5*sqrt(228)*1)\/(sqrt(60)\/sqrt(80) + sqrt(12)))**2.\nAnswer: 112651\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -5*k**2 - 22*k - 21. Let v be m(-1). Suppose -1 = -q - 3. Sort q, 2, -5, v.\nAnswer: -5, v, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 263*p**3 - 550*p**3 + 284*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.9 + 4.5. Let y = d - 4. Let w = y - -0.1. Which is the third biggest value? (a) w (b) -2\/9 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 - 86932?\nAnswer: -86931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 471517 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-3\/11)*c*c*c**(-2\/25))**(-5\/6) assuming c is positive.\nAnswer: c**(-151\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18342, -18341, -18340?\nAnswer: -18339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, -35.2, -1\/5 in decreasing order.\nAnswer: -1\/5, -2\/3, -35.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 638 divide 788077273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -119*y + 613 = -982 - 190 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2425435?\nAnswer: 5, 47, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 25014 divided by 4169\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i + i - 4*i)*(60 - 147 + 69)*(5 - 17 + 11).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 2*y - 3)*(82*y - 124 + 124) as s*y**2 + t + x*y and give s.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -141 + 13 = -u. Is 44 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 450 is divided by 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-2 + 1*sqrt(17)))**2*-1 - 6*(sqrt(272) + -3 - (sqrt(17) + (((sqrt(153)\/sqrt(3))\/sqrt(3) + sqrt(17))**2 - sqrt(17)))).\nAnswer: -8*sqrt(17) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**2 - 196*d - 7007. What is o(-49)?\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -43 greater than or equal to 0.71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 + -97e?\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43302581.\nAnswer: 7, 6186083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 30 = 5*l, -3*j - 2*j - l - 12 = 0. What is the closest to -0.05 in j, -0.03, -0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u = 2*g + 12, -2*g + 10 = -5*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, 5, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15 - -18. Which is the third smallest value? (a) -0.4 (b) 0 (c) -1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -4 (b) -0.073 (c) 2\/311 (d) 2 (e) 1127 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19226, 19495, 19806, 20159?\nAnswer: 20554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -111*r**3 + 34945 - 69887 - 694*r**3 + 34942 - 2606*r**3.\nAnswer: -3411*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((-1*(sqrt(231) + sqrt(231) + -3*sqrt(231)) + sqrt(231))\/sqrt(11))\/(sqrt(9)\/(4*sqrt(30)\/sqrt(10))).\nAnswer: 5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 55 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 15\/(-2)*4\/(-6)*23\/(-46)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3068.91100132 + -3068.89. Let z = -0.021 + b. Round z to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -435 - 2533 = -4*r. Is r\/8*1 + 5\/20 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1485*n**3 + 365*n**3 + 74238*n - 74238*n.\nAnswer: 1850*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2028 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 758726057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -5*n**3 + 129*n**2 - 209*n + 2753. Give m(25).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.5938 - -357.1062. What is r rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -2171147\nAnswer: -2\/2171147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1481*m + 3837*m + 8073*m.\nAnswer: 13391*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 54, 15, -3, 4, -1, -2496.\nAnswer: -2496, -3, -1, 4, 15, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-14)*(-56)\/(-7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2204 - 0.2.\nAnswer: 2203.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5485412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*i - 18 = 81. Find the third derivative of -11*d**i - 3*d**2 + 3*d**2 - 4*d**4 - 9*d**2 - 2*d**2 - 4*d**4 wrt d.\nAnswer: -192*d - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -3*f**2 + 20*f - 5. Let t be -1*(-7)\/35*-25. Let d(q) = -10*q**2 + 64*q - 16. Let u(m) = t*d(m) + 16*v(m). Let o(s) = -142*s. Give o(u(w)).\nAnswer: -284*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - 586667 + 192043. Let o be (-3)\/(-2) + (-2053205)\/14. Let z = o - b. What is z rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 1 = 4*d - 3, -12 = 3*m. Let v(a) = -a - a**3 - 5*a**2 + 5 - 5 + 2. Determine v(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 572*j**2 - 598*j**2 + 586*j**2 - 4*j**2 + j**2 + j**2 - 4 + 4 + 2*j**2 + (-4*j + 2*j**2 + 4*j)*(1 + 4 - 4) + 2 + j**2 - 2 + 0*j + 0*j - j**2.\nAnswer: 562*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 36719219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -4*k + 43. Let p be d(-10). Suppose -p = -5*w + a, 0*a + 74 = 4*w + 3*a. What is the remainder when 65 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 12 (c) -5 (d) -4 (e) 0.046\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 121167?\nAnswer: 3, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.01 and -222893.\nAnswer: -2228.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -322, -514, -854, -1342?\nAnswer: -1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 0 - 6)*(-3 - 1 + 0)*(-c + 4 - 4) as t + f*c and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/28*17\/((-255)\/(-90)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -4888*w**3 + 9803*w**3 - 4*w**2 + 79*w + 2*w**2 - 4895*w**3 in the form p*w + u*w**2 + l + j*w**3 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-18 + 330\/18)\/((-1)\/21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 55921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-19)\/a**(-21) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the third derivative of 0*o - 1\/120*o**6 + 0 - 29\/210*o**7 + 21*o**2 + 0*o**3 + 23\/20*o**5 + 0*o**4. Find the third derivative of g(x) wrt x.\nAnswer: -696*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6416, 0, 3 in descending order.\nAnswer: 3, 0, -6416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 395 = -w, -5*a + 381 + 112 = -2*w. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 + 1 + (-3 - -2). Suppose 3*x - 30 + c = 0. Let v be (0 + 6\/15)*x. Solve -2 + v = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-24)\/2 - (-1 - -3). Let s = 87 + -51. Let n = a + s. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 1.811249105 to three dps.\nAnswer: 1.811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 16*k**5 - 4*k**5 - 2*k**5 + (-k**3 + 0*k**2 + 0*k**2)*(-3*k**2 + 8*k**2 + 2*k**2).\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -236 + 175. Is -59 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 - -6. Let z = 2 - 1.6. Let g = 0.2 - z. Which is the third smallest value? (a) d (b) 5\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, q: 2, p: 1, d: 2, j: 2, b: 5}. What is prob of sequence dwqq?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*u**2 - 9*u**2 - 10*u**2 + 3*u**2 to p*u**2 + l*u + n and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 8630350?\nAnswer: 3\/8630350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -2*g**5\/11 - 1002*g**4\/11 - 122950*g**3\/11 + 644098*g**2\/11 + 44712*g - 232760 = 0.\nAnswer: -253, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*p**4 + p**4 + p**4)*(-275 + 1793 - 50) to the form o*p + m + l*p**4 + y*p**3 + u*p**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*y = 110*y + 3180 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 277 - 267 - ((7 - -1) + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -2*v**2 - 12*v - 3. Let o(g) = g**2 + g + 1. Let t(c) = -o(c) + z(c). Let d be t(-4). Suppose -191 = n - 2*n + f, -4*f = d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 20\/3*l + 94\/5 + 2\/15*l**2.\nAnswer: 2*(l + 3)*(l + 47)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.8315499 litres?\nAnswer: 831.5499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 373, -0.5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/((-2156)\/1085 + 2). Which is the nearest to 2? (a) o (b) 5\/4 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**2. Suppose 2 = -m + 5. Let y = -7 - -12. Let d(s) = -s + m*s - y*s. What is x(d(i))?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 3*y = -12, -3*g + 3*y - y = 12. Let j = 0 + 6. Let f = g + j. Solve r = f*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 784827 = 7984827. What is b rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/6 and -33\/1055.\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3\/106 + 271\/212. Factor b**2 - o*b - 1\/4*b**3 + 1\/2.\nAnswer: -(b - 2)*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -90 + 90. Solve b*g - 35 = 7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -60 + 35 - -33 - (-74 - (7 + -11 + 9))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-28)\/(-6) + (-3)\/(-9). Let p = 4 + q. Let v = p + -4. What is the remainder when v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*d - 96*d + 200 = -94*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -52 + 104. Suppose -d = s - 3*s. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((-4*(0 + (sqrt(208) - 1*sqrt(208))*2 + sqrt(208)))**2 + -4*(5 + (-3 + sqrt(208) + 0)**2)).\nAnswer: -2440 - 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 455453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -8*d**3 - 3*d**2 + 8*d + 4. Let b(n) = 7*n**3 + 3*n**2 - 7*n - 4. Let r(k) = -5*b(k) - 4*q(k). Is r(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 47 + (43 - 65) - 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3 + 2 + 2 - 5. Let z(j) = 253*j**3 + 2 - 255*j**3 - 3*j**2 - 7 + j. What are the prime factors of z(v)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/6)\/a*a**(-2)*a*a**(-1\/4)*a\/a**4*a)\/((a\/a**(3\/7)*a**(-1))\/(a**(-6)\/a**(1\/11))) assuming a is positive.\nAnswer: a**(-9005\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (5*p**2 - 302*p - 21 + 314*p + 31)*(-5 + 5 + 3*p) as w*p**3 + t + x*p + u*p**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.003 - 0.613. Put z, 3, -0.1 in decreasing order.\nAnswer: 3, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1313 a factor of 213976784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c = -8*f + 6*f - 33, -5*f + 33 = -3*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 6*c**2 - 4*c - 4. Let k(g) = g**2 - g - 1. Let q(o) = 4*k(o) - t(o). Let s be (-253)\/(-46) - 1\/2. Let a(h) = -4*h - s*h + 4*h. Determine q(a(r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 73*z - 967. List the prime factors of x(53).\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(1300) + (sqrt(13) - (0 + sqrt(13)))*6 + -5.\nAnswer: -5 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -58\/20385909 and -145\/462080604?\nAnswer: 1386241812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*f + 196 - 196 + 4*f**2.\nAnswer: 4*f**2 + 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:49 AM and 3:47 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3630)*2 - sqrt(3630))\/(sqrt(96) + sqrt(96) + (sqrt(96) - (2*sqrt(96) - sqrt(96)) - sqrt(96))) + 1)**2.\nAnswer: 11*sqrt(5)\/2 + 621\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -6185080 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8\/15 in -12, 2\/3, 5, -0.03?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.04 times 1.03\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -11*r - 43. Let f(g) = 5*g + 21. Let y(t) = -3*a(t) - 7*f(t). What is the least common multiple of y(-14) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s, -5 = -b + 4*s + 3. Let n be 4\/30 - b\/60. Solve -2*c - 7 + 1 = n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 4*t. Let v be o(-1). Let y = -0.4 + 2.4. Let x = -0.9 - -0.4. What is the closest to y in -0.2, x, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1334913570 < 1334913570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1301020444 - 0?\nAnswer: -1301020444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + (sqrt(56) - (sqrt(224)*-4 + sqrt(56)))\/(sqrt(288) - (sqrt(288) - -2*sqrt(288))))*4)**2.\nAnswer: -320*sqrt(7)\/3 + 4048\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4961868 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 546, -56, 4, -3 in decreasing order.\nAnswer: 546, 4, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*c + 37 = 28*c. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 1668 = 3*w, 165 = 2*w + 3*g + 1279. Let o = 562 + w. Calculate the highest common factor of o and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and 1.06?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.02 (b) 5 (c) 1\/5 (d) -16.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 150 - 91. Let z be (0 - (-6)\/2)\/((-30)\/370). Let j = p + z. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 5 = 5*s. Suppose -4*q - s - 3 = -3*i, -4*q = 4*i - 24. Calculate the remainder when 9 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 75000*x**2 + x + 2. Let j be (-4 + 3)*(-4)\/(-2). Let y be z(j). Round y to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the second derivative of 2\/21*y**5 + 0*y**3 - 5*y**2 + 1\/21*y**4 - 15*y + 0 + 5\/84*y**6. Let s(r) be the first derivative of j(r). Factor s(f).\nAnswer: 2*f*(5*f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 376 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 42*k**4\/5 + 144832*k**3\/5 + 199946*k**2\/5 + 13788*k = 0.\nAnswer: -3447, -5\/7, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 3 + 14 - (4 - -35).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**11\/(r\/r**0)*(r\/(r**1*r))**(-9\/4) assuming r is positive.\nAnswer: r**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 629, 633, 635, 635, 633?\n\"Answer: -a**2 + 7*a + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 538003 (base 12) to base 14\nAnswer: 265199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.1 and 44424.3477517.\nAnswer: 44424.4477517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 j when four letters picked without replacement from oojoojojjjojjjjoooj?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**2 - 8*b. Let w be m(-8). Suppose -3*x + t + 346 = 2*x, 5*x + 4*t - 366 = w. Suppose -2*a = -v - 31, -2*a + x = 3*a - 5*v. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(171) - ((sqrt(171) - (-2 + sqrt(171)) - sqrt(171)) + sqrt(171)))*-6 + -3 + 1*sqrt(171) + sqrt(171) + -2*sqrt(171)*1*-3))**2.\nAnswer: 3888*sqrt(19) + 27540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54800*k - 192626*k - 11458*k - 87309*k + 67669*k.\nAnswer: -278524*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -29, -15, 3, 25, 51, 81?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 4\/3 (b) 2\/11 (c) 1\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 752696277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 496 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5408 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2212, -4452, -6694, -8938, -11184, -13432, -15682?\n\"Answer: -g**2 - 2237*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 283 - 110 + 712*q**3 - 173.\nAnswer: 712*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 - -6. Let j = x + -0.3. Let h = j + 0.8. Which is the nearest to 1\/3? (a) h (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 1717*r - 12. Let u(b) = 5152*b - 33. What is -11*g(p) + 4*u(p)?\nAnswer: 1721*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -284 divided by -5\nAnswer: 284\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -8*o - 130. Let w(c) = 7*c + 128. Let q(n) = 4*j(n) + 5*w(n). What is the hundreds digit of q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -101.83 to the nearest integer.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-40)\/84)\/((-25)\/30)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1898 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g + 3*n + 15113 = 9*g, 2*g - 30210 = 2*n. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2412, -2453, -2490, -2523?\nAnswer: -2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1009, -1978, -2945, -3910, -4873?\nAnswer: -5834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 508 = 53. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -s**3 - 328 + 328.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 220 + -88. Calculate the least common multiple of w and 28.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 459 - 438. Let b be ((-50)\/40)\/(i\/(-12) + 2). Let k(g) = -6*g**2 - g**3 + 4 + g**2 + 0*g**2 + 4*g. What is k(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i - 4. Let m be s(-10). Let c(t) = -4*t. Let o be c(m). Let v be 12\/(-28) - o\/7. Solve 5*z + v*p - 30 = 0, 5*z - 4*p + 5 = -0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*f**3 + 12*f**3 - 27*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v**2 + v**2 + 0*v**2)*(0*v**3 + 3*v**3 - 2*v**3) + 0*v + 0*v + 3*v**5.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 5*w - 21 = 0, 4*l - w - 17 = 2*w. Suppose -5*d = -3*g + l*g + 394, 0 = 3*g + 5*d - 1122. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:26 PM and 11:15 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -4, 0.6, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**2 + 2*j + 6. Let g(h) be the first derivative of -h**3\/3 + h**2\/2 + 3*h - 70. What is -5*g(b) + 3*t(b)?\nAnswer: 2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) be the first derivative of 0*y**2 + 0*y + 35\/4*y**4 - 2\/3*y**3 - 26. What is the third derivative of g(s) wrt s?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of -z**4\/2 - 5*z - 6. Let q(f) = -f**3. Let u(k) = -g(k) - 6*q(k). What is the first derivative of u(x) wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -28*v + 65. Let x be j(5). Let t be 87 - 1 - (-8 + 9). Let z = x + t. Calculate the greatest common divisor of z and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dkr when three letters picked without replacement from {r: 2, d: 2, k: 6, i: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 220857 to the power of 1\/2, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 747, 757, 769, 783, 799, 817, 837?\n\"Answer: n**2 + 7*n + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d**2 - 3*d**2 + 3*d**2)*(-d + d**2 + d) + 2*d**4 + 0*d**4 - 3*d**4 - d**4 + 0*d**4 + 3*d**4 + (7*d + 0*d - 2*d)*(38*d**3 - d + d).\nAnswer: 189*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**3 - 7*x**2 + 9*x + 7. Let i be v(-8). Let w(o) = 627*o**2 + 25*o + 4. Let p(s) = -626*s**2 - 30*s - 5. Let d(c) = 5*p(c) + 6*w(c). Is d(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 406 - 404. Let z(g) = g**2 + 3*g + 2. Let m be z(-3). Let x(q) = 3*q**2 + 2*q**i - 10*q**m. Let h(n) = -2*n. Give h(x(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*p - 217404 = 1030611. What are the prime factors of p?\nAnswer: 3, 5, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 2*a**2 - a - 1. Let k(x) = -3*x**2 + x. What is 7*h(m) + 6*k(m)?\nAnswer: -4*m**2 - m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/((23\/(-62))\/23). Let m(s) = s - 12. Let a be m(0). Let v = a - r. What is the remainder when v is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by 173.\nAnswer: -5\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 280838 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -3*d. Let o(n) be the first derivative of -n**5\/60 - 4*n**3\/3 + 8. Let s(w) be the third derivative of o(w). What is h(s(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12 + -8. Let n(o) = -4*o**3 + 9*o**3 - 3*o**2 - 2 + 8*o**2 - m*o**3 - 8*o. Let u be n(-6). Solve 3*y - p + 2*p + 15 = 0, 2*p = -y - u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 88 - 19*q - 6*q - 6*q + 24 as z*q + k and give k.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -484 - -459 - (9 - 2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b**4\/2 - 1375*b**3 - 199440*b**2 - 2775465*b + 20317365\/2 = 0 for b.\nAnswer: -267, -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 69, 188, 307, 426?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/((-80982)\/(-675) + -120).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.21154263 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 129 and 7353?\nAnswer: 7353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 2\/9*l**3 - 18 - 2*l + 2*l**2 = 0.\nAnswer: -9, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 18*o**2 + 12. Let d(t) = -t**2 - 1. Let l(h) = -h**2 + 11*h + 2. Let w be l(10). Let q(n) = w*d(n) + f(n). Let x(a) = -a**2. Give q(x(c)).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 12 + 20 + (16 - 15)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2837452 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, -4, -6, 2, 85, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 + 36. Let q(i) = -21*i - 9. Let f(u) = 5*u + 2. Let x = 8 + -6. Calculate r*f(g) + x*q(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 757, 3538, 8183, 14698, 23089, 33362, 45523?\n\"Answer: f**3 + 926*f**2 - 4*f - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes before 2:46 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(3 + (sqrt(1539) - (6*sqrt(1539)*-4 - sqrt(1539)) - (1 + (sqrt(1539) - (sqrt(1539) + 3)))))*3)**2*-4.\nAnswer: -599264064 - 1347840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -9*j + 7*j + j - 1 - j**2. Let y(c) = 6*c - 4. Let w(g) = -d(g) + y(g). Let z = 0 - 6. What is w(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*c**2 + 196*c**3 - 17*c**3 - 90*c**3 - 92*c**3 + 0*c**2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -672 by -4.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 81001 + -38.\nAnswer: 80963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 9 = -c. Let t = 12 + c. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a*a**(-37)))\/((a\/a**(20\/7))\/a) assuming a is positive.\nAnswer: a**(279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -3. Let w(t) = t**2 - 4. Let i(z) = -5*w(z) + 4*y(z). Find the first derivative of i(f) wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g**2 - 2\/3*g**3 + 2*g - 4\/3 = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {g: 3, o: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.5*0.398\nAnswer: -0.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(sqrt(95) - 2*sqrt(95)) + sqrt(95))*4*-5)\/((sqrt(315)\/(sqrt(36)\/sqrt(4)))\/(sqrt(7) + ((sqrt(70) - sqrt(70)*2)\/sqrt(10) - sqrt(7)))).\nAnswer: 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 579 at most 581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3556171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 157*k + 4871. Let q be n(-31). Let d(b) = b**3 + 6*b**2 + 5. Let c be d(-6). Solve 21 = c*o - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -150 (b) -0.1 (c) 156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:04 AM and 8:50 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2905714?\nAnswer: 2, 7, 207551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/7, 82\/15, 33004 in increasing order.\nAnswer: -1\/7, 82\/15, 33004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be 196 - (-12)\/3 - (3 + 1). Suppose -5*q - 1001 = -3*g, -2*g + h = -q - 0*g. Let i = 494 + q. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -5*l**3 + l**2 + 2. What is b(2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 60699.7kg to tonnes.\nAnswer: 60.6997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.29718 + 42754971.\nAnswer: 42754969.70282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 802, 1540, 2276, 3010, 3742, 4472?\nAnswer: 5200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1 (b) 117 (c) 0.9 (d) 2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1386)\/(-4662)*90\/495.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 PM and 7:27 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 25 + (-22 + 12 + 1 - 8) + -27.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 + -1. Let d = -21 + 29. Find the common denominator of 145\/6 and z\/d - (-155)\/28.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**2 - 14*r - 8. Let q be b(-13). Solve c - 7 = -4*u, 14 + 2 = q*c + u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (q**3 + 4*q**3 + 0*q**3)*(3*q + 2*q - 2*q) + (-6 - 8*q + 6*q + 0*q)*(3*q**3 - q**3 - 6*q**3) as y*q + m + d*q**2 + w*q**4 + g*q**3 and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 54 = x, 5*a = 4*a - 3. Let s = x - -158. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (4 + -7 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 27*o**2 - 14*o**2 + 2*o - 12*o**2 + 13*o**3 - 13*o**2 + 10*o**3 to the form q*o**2 + g + t*o**3 + z*o and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3457919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the first derivative of 5*s**3\/3 - 37. Let y(h) = -11*h**2 - 7*h - 11*h + 18*h + 3*h**2. What is y(m(n))?\nAnswer: -200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 686959 and 129766.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1670896.2 hours in days?\nAnswer: 69620.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 6, p: 3, c: 3, l: 6}. What is prob of picking 1 c, 1 f, and 1 l?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the first derivative of b**6\/120 + b**5\/30 - b**4\/8 + 199*b**2\/2 + 152. Let m(d) be the second derivative of v(d). Give m(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -143 - -143.133. Let q = -0.1330077 + o. Round q to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.010105 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, s: 1, q: 1, y: 5, n: 4, j: 2}. What is prob of picking 1 q and 1 o?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 465505\/9 + -51721. Factor -v*d - 2\/9*d**2 + 2.\nAnswer: -2*(d - 1)*(d + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (2 + -3 - -322)\/1?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 0*x - x = -1, -5*x = 15. Which is smaller: p or 10\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 + 9. Suppose b - t = -2*c + 12, 0 = -2*c + 2*b + 10. Suppose 2 = -5*w + c. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6057977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*p - 179 - 152 + 331.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*g = 121 - 13 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 40260 = -4*w, 0 = -5*w - 4*f - 2859 + 53184. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 1. Let b be (-18)\/(-81)*30*(-18)\/5. Let c(r) = -r**2 + 8. What is b*t(z) + 3*c(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 241935387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 4*g = 22 + 8, -5*i + 2*g = -15. Suppose -3*j = -5*b - 9, b - 1 + 10 = -3*j. Sort i, j, 1 in descending order.\nAnswer: i, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - f = -12, s = 4*s - 5*f + 4. Let r(v) = -54*v**s + 10971*v - 10971*v. Let o(w) = -w**2 - 4*w**2 + 3*w**2. Calculate r(o(l)).\nAnswer: -216*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 23 = 4*o - 0*k, -o = 2*k - 8. Let m(j) = 4*j - 22. Let h be m(o). What is the nearest to 0.1 in 1\/6, h, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 + (-3 - 392\/(-4)). Let s = 169 - i. Let a = s + -9. Calculate the remainder when a is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -162222?\nAnswer: 648888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 5*b**5 + 400*b**4 + 2585*b**3 - 69250*b**2 - 309920*b + 3785600 = 0.\nAnswer: -70, -13, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4.1 + -2.1. Let w = -5 + 3. What is the biggest value in i, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 28371 = -3*w + 28345, 16 = -2*w + 3*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1102102101012 + 222120?\nAnswer: 1102110100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*g**3 + 9*g**3 - 9*g**3 + 11*g**3 - 4*g**3 + 537*g - 11*g**2.\nAnswer: 3*g**3 - 11*g**2 + 537*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40 divided by -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1653831855 to 4 decimal places.\nAnswer: 0.1654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 268.77 + -281. Let s = w + 0.23. Let l = s - -14. What is the third biggest value in -0.4, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*u + 118 = -68. Solve 18 = -3*q + u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -10*f**2 + 35*f - 30. Let a(b) = 22*b**2 - 71*b + 65. What is -6*a(j) - 13*s(j)?\nAnswer: -2*j**2 - 29*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes after 2:35 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 47527 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3906 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 PM and 5:16 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*q - 4180 + 276 = 0. Let i = 18219\/22 - 51523\/154. Let r = q - i. Find the common denominator of 5 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(4 + sqrt(245)*-2) - (0 + -3*(sqrt(245) + -2))) + -2 + -3.\nAnswer: -21*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/392*-7)\/(1\/(-3)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 + 7*x - 28. Give j(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53713?\nAnswer: 11, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4280702 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 2, 5, 125 in decreasing order.\nAnswer: 125, 5, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*2*sqrt(27) + (-2*sqrt(108))\/sqrt(4))*-1*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24 - (-7 - -21) - (10 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-25))\/(14\/210*3)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**3 + 17*o**2 + 3*o - 13. Let q be v(-7). Let m(a) = 21*a**2 + 336*a + 24. Let t be m(-16). Calculate the greatest common factor of q and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 3*z - 39. Let x be s(13). Suppose 3*j + 4*q = 516, j - 177 = -x*q - 3*q. What is the greatest common factor of 48 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = 3*g - 30, -s + 3*s = -2*g + 20. Suppose 0 = g*y - 9*y - 2. Suppose -y*q + 12790 - 1390 = 0. What is q rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 AM and 12:21 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -26*q - 176. Let h be o(-5). Let v = 49 + h. What is the least common multiple of 33 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 253 minutes before 4:48 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 398.04 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 54 + 11. What is the remainder when 5 + -3 + c + 7 + -3 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 16185 and 37260.\nAnswer: 40203540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*o - 2 - 2*o - 1)*(4*o - o - 2*o).\nAnswer: o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be 20\/6 + (-3)\/9. Suppose -2*m - 4*b = b + 5, c*b = -15. Calculate the smallest common multiple of m and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 194, -9 in increasing order.\nAnswer: -9, -4, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (-1 + 0) - (121 + -112).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15 - 16. What is the smallest value in 2, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - p)*(2*p + 2 - 2) - 2*p**2 - 3 + 3 + (2 - 3 + 5 + (4 - 3 + 0)*(-2 - 1 + 1) + 0 + 1 + 1)*(4*p**2 + 26*p**2 - 4*p**2).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 18*c. Let g(t) be the second derivative of t**4\/12 + 2*t - 20. Give l(g(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*b - 7*b + 22096*b**3 - 10*b + 28*b.\nAnswer: 22096*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8442 + -8441. Put -4, 3, 1063, m in descending order.\nAnswer: 1063, 3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.15377 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**3 - 11*h**2 - 16*h + 19. Let p = -13 - -26. Is w(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**3 - 6*o**2 + 6*o - 3. Let m(w) = 3*w - 10. Let f be m(5). Calculate d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1831 - 3839. Let k = j + 3145. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m - 1. Let n(v) = -v. Let k(i) = -2*n(i) + 3*p(i). Let o(z) = 3*z - 4 + 15 + 3*z - 6 - 4*z. Give 7*k(y) + 4*o(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -490 + 507 + (0 - -11 - 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes before 11:46 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 + 3. Let g(h) = 3*h**2 - 3*h**2 - 5 - 3*h**a + 3*h + h**3. What are the prime factors of g(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s**3 - 17*s**2 - 16*s - 3. Let c be u(-16). Let n = 3 + -1. Suppose 0 + 10 = -n*x. Sort x, c, 5 in increasing order.\nAnswer: x, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/35, -0.23, -2.303 in decreasing order.\nAnswer: -2\/35, -0.23, -2.303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -450, 23, -8 in descending order.\nAnswer: 23, 2, -8, -450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q + 2. Suppose 4 = 4*z, -2*f + 3*z - 2 = 3. Suppose -11*w = -328 - 57. Let x = -34 + w. Let o(r) = 1. Calculate f*o(k) + x*b(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 367 a factor of 281489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48250*o = -48233*o - 17. Let f(a) = -2*a**3 - 2*a - 1. Let d(x) = -x**2 + 5*x - 6. Let r be d(4). Let u be f(r). Solve -4*w - o - u = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (125 - 12*o - 125)*(-42*o + 922 - 922).\nAnswer: 504*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6621 is divided by 3282.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 20463791 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + -2121412?\nAnswer: -2121412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 220207829?\nAnswer: 211, 1043639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes before 12:17 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2273328?\nAnswer: 2, 3, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3 + (-8)\/(-1))\/7. Let l = f - 3\/14. Factor -1\/2 - b - l*b**2.\nAnswer: -(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -0.5 (c) 36 (d) 2\/11 (e) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4763 + 8009. List the prime factors of s.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -207*k + 130*k + 156*k + (k + k + 0*k)*(2 - 2 + 3) as a + o*k and give o.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -2*l - 72. Suppose 3*w + w - l = 0. Suppose -w*q = -0*q - 36. Solve -d = -q*s - 2, 2*d - 5*s = -d - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 39\/94, 1.28, -3\/5 in descending order.\nAnswer: 1.28, 1, 39\/94, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.2 - 1. Let r = -0.7 + u. Let q = 8 - 7. What is the closest to q in 4\/5, r, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -x - 65, -r = 2*r - x - 97. Suppose -t + r = t. Suppose -5*o + 126 - t = 0. Calculate the remainder when 64 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8371.776 weeks in microseconds?\nAnswer: 5063250124800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112)\/(sqrt(32)\/sqrt(4))*-1)\/(-2*(sqrt(7) - sqrt(28)\/sqrt(4)*-5)) + 2.\nAnswer: sqrt(2)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 + -7)*(-4)\/6. Let s be (g\/1*-1)\/(-2). Let x be 2*(-3)\/(-12)*s. Is x bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -5*sqrt(1584)*2.\nAnswer: -120*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (280\/196)\/((-10)\/28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2.1 + 2. Let r = 458 - 446. Let q be 11\/r - 70\/(-210). What is the second biggest value in 2, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**3 - 253*i**2 - 99*i - 25072. Determine w(-253).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 4, x: 1, c: 3, v: 1, k: 2, e: 4}. Give prob of sequence knxn.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 11\/5, -2\/3, -4, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 + 6*y**2 - 4. Let d be u(4). Find the third derivative of 10*i**5 - 28*i**3 + d*i**3 + 5*i**2 wrt i.\nAnswer: 600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 5533 + 35718 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 495 - 257. Suppose -233*z + o*z - 70 = 0. Let n be ((-35)\/4)\/(2\/(-8)). What is the highest common factor of n and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*m**3 + 175*m**2 + 570*m.\nAnswer: -5*m*(m - 38)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -358 and -612?\nAnswer: 219096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -k + 0 + 0 + (-4 + 3 + 12*k - 35*k)*(-4 + 2 - 2).\nAnswer: 91*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -911, -909, -907, -905, -903, -901?\n\"Answer: 2*c - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -18\/11, 1\/4, 79?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.3 + 0.26. Let v = -2.83 + 0.94. Let c = 1.99 + v. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1443218*u - 1443153*u + 1 - 1442951*u + 4329644*u - 1.\nAnswer: 322*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 6. Let a = -2291529\/8 - -286441. What is the closest to -2\/19 in -0.1, a, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1793 and 84923.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**2 + 15 + 2*t + 5 - 19. Calculate m(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - (1 - -2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 2 - -225 - 3 - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**2 - 10*q + 29. Calculate s(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -2*x. Let o(h) = -h**2 - 46*h - 2. Determine n(o(q)).\nAnswer: 2*q**2 + 92*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 765.5867ml to litres.\nAnswer: 0.7655867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve z = 5*u + 16, 2*u - 7*z = -2*z + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**3 + 72*g**2 + 39*g - 2225. Determine c(-71).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2052 greater than 51287\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**2 + 149470*o - 5585320225.\nAnswer: -(o - 74735)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55585531 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + 9 - 66. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -191 = 35*q - 38*q - 5*c, -2*c + 10446 = 139*q + 448 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*a**3 + 3 - 3 + 390*a**3.\nAnswer: 403*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Do 2306 and 191369\/83 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 324771.\nAnswer: -4\/324771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 15 = -9*f + 3*z, z - 3 = -f. Let x(n) = n**3 - n**2 - 5*n + 2 - 4*n + 5*n. What are the prime factors of x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 3*x - 15. Let b be w(8). What is the highest common divisor of b and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qfuf when four letters picked without replacement from tfuqfffmuumf?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5.596 + -0.104. Let j = q - -6. What is the closest to 2 in 0.1, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(1872) + -4).\nAnswer: -36*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -8382286 at most -8382283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 478255 divided by 93?\nAnswer: 478255\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1201*k + k**3 - 1201*k + 0*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 23.16 - 19.16. Let s = -0.04 + 6.04. Let m = 5 - s. What is the second biggest value in 2\/7, v, m, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 1133*s + 5676. Let o be z(-5). Suppose 14 = 5*u - 26. Suppose -2 = -5*d + u. Solve -w - d*x = x + o, w = -x - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 2*n**2 - n - 1. Let d be r(-1). Suppose 2 = -0*s + d*s. Let v = 4 - -1. Solve v*w + s = -19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -3, 2, -18 in increasing order.\nAnswer: -18, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 25 + -18. Let q be p + -7 + 87 + 1. What is the highest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1880\/(-20130) + 96\/2928.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 11*s**2 - 2*s - 1. What is the units digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2126, 1640, 1252, 1010, 962, 1156?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 3, -2 = -3*i - 4*v + 2*v. Factor 2*k**2 + 0 + 2*k**3 + i*k + 1\/2*k**4.\nAnswer: k**2*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 + 2. Let m(f) = 31*f**3 + f**2 + 2*f. What is m(i) + w(i)?\nAnswer: 31*i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 13*m - 31. Let p(f) = 4*f - 10. Let r(a) = 7*p(a) - 2*v(a). Let k = 256 + -250. Give r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 11544 divided by -8\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*y + 26*y + 12 = 0, 3*h - 9 = y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-3)\/(-6) + 39\/(-12))*1 and 242\/(-40) - 1\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 - 2*g**2 + 1. Let u(a) = a**3 - 7*a**2 - 8. What is 3*j(f) - u(f)?\nAnswer: 2*f**3 + f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11 + 2. Let r = -9.17 + 0.17. Let s = r - d. Is -0.2 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2467993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1689261534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -229938 + 459796 - 229858 - 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (43\/(-172))\/((-1)\/20). Let d(t) = 29*t**2 - 5. Let i(y) = 72*y**2 - 12. Give u*i(w) - 12*d(w).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 36\/27*(-27)\/(-6) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -13273 - -13282. What is the smallest value in 1\/3, k, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -751*t**4 + 21*t - 127699 with respect to t.\nAnswer: -3004*t**3 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(242) - (1*sqrt(2))**2*-6) + -1 + (1*sqrt(24)\/(sqrt(3) + sqrt(6)\/sqrt(2) - sqrt(3)))**2 + -4.\nAnswer: 14 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -7, 2, -26, 6, -2 in descending order.\nAnswer: 6, 2, -2, -4, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -4.93, -1, 0.09, 0.02, 0, -5.\nAnswer: -5, -4.93, -1, 0, 0.02, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be -9*24\/9*-1. Suppose 4*q - m - p = 0, -2*q + 6*q = -3*m + 24. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 736\/256)*-10?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (9 + -21 + 10 - -6)*(-194)\/(-4) is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1371.9 and -0.4?\nAnswer: 1371.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*n**3 + 8 - 2*n**2 + 0*n**2 + 45*n**3 + 25*n**3 - 10 to r*n**3 + c*n + v*n**2 + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*1.32366318.\nAnswer: -6.6183159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -10*m + 17. Let c(u) = -u + 1. Let t(a) = -24*c(a) + 3*x(a). Let n(w) = 7*w - 26. Let h(k) = 4*n(k) + 5*t(k). Is 4 a factor of h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-3*sqrt(140)*2 - (sqrt(140) - (sqrt(140) - (sqrt(140) + -2*sqrt(140)*4))))\/(-2*(sqrt(20)\/sqrt(16) + sqrt(5) - sqrt(5) - sqrt(5))))*1.\nAnswer: 2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2313207, 4626419, 6939633, 9252849, 11566067, 13879287?\nAnswer: 16192509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2202844 rounded to the nearest ten thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 58*d**5 - 155*d**5 - 86*d - 78*d**5 - 46*d wrt d?\nAnswer: -3500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 * 2.3\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 155, 149, 145, 143, 143, 145?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-6)\/(-8) + (108086\/(-8))\/(-11).\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -745544.089 to the nearest one hundred.\nAnswer: -745500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 51367288 and 3776?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1321356261 to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hjjjjjjjjjjj. What is prob of picking 3 j and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 80471754 divided by -26823918\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 9\/25 of a kilometer?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 120 + -85. What is the remainder when b is divided by -1 - (-19 + 2 + -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the second derivative of -a**5\/20 + 3*a**4\/28 + 2*a**3\/7 - 2*a**2\/7 + 8*a. Solve i(p) = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 36211 - -0.1\nAnswer: 36211.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/(-2))\/((1620\/(-1053))\/(-20)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -403258 times 3?\nAnswer: -1209774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*v + 0*v - 9*v + (119 - 1 + 273)*(2*v - 1 + 1) to the form f + z*v and give z.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6 or 186\/37?\nAnswer: 186\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u - 3. Let r(i) be the second derivative of 5*i**3\/6 + 6*i**2 + 16*i. Suppose 2*d - 29 + 11 = 0. Give d*b(x) + 2*r(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -r**3 - 1 + 4 - 12 wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**8*a**11\/a)**6 assuming a is positive.\nAnswer: a**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, w: 3, s: 4, k: 1}. Give prob of sequence wkf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of -q**3\/3 + 7*q**2\/2 - 3*q - 6. Calculate g(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 1 = 4*r - 0*r, 15 = -5*r. Suppose 0 = -10*b + 19 + o. What is the derivative of 20*d**b + 5*d - 22 - 7*d + 2*d wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.7, 12, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 123 - -3. Calculate the highest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9376659 less than 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**3 - 3316*c**2 - 2675275*c + 1346. What is s(-671)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*u - 2*i - 1 = -11*u, u - 3*i = 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(-2) + (-68)\/(-104). Let u(p) = -p**2 + 2*p + 1. Let l be u(2). Let c be 0*(1 - (3 - l)). Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in seventy-five quarters of a millennium?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w + w + 5*q - 29, 5*w + 2*q - 5 = 0. What are the prime factors of 71*1*w*(37 + -40)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -33.395 - -0.03\nAnswer: -33.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 99, 1\/2, -12, -46, 30, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 11868 and 51428.\nAnswer: 154284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6470*c*y**3 + 32*c*y - 2*y**2 - 1 wrt y.\nAnswer: -38820*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 81, 84, 87, 90?\n\"Answer: 3*b + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -73892882 divided by -65566\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -82 - 43. Let z = q - -234. Does 33 divide (z\/2 - 0)\/((-6)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 * -16904\nAnswer: -16904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -3*z**3\/4 - 29275257*z**2\/4 + 7318815*z = 0. What is z?\nAnswer: -9758420, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, -2, 347, 3, -10.\nAnswer: -10, -2, -1, 2, 3, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 53 + (-13 - -3) + -20 + (-17 - -34)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-36)\/45 - (208\/(-10) + -1). Calculate the highest common divisor of w and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 67 - 246. Let k = w - -251. Let f = 72.08 - k. What is the fourth smallest value in -2\/9, -0.4, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 4*y - 3, 5*f = y + 28. Suppose -3*z - 13 = -f*z - 3*h, 3*z - 5*h - 10 = 0. Solve w - 6 = 3*g, 0 = z*w + 3*g + 28 - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -758\/917 - 4\/131. Let z = 3.71 - 0.21. Let p = 0.5 - z. What is the nearest to 0.1 in o, 3, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12219007 is divided by 6109498.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**3 - 2*s**2 - 26*s - 151. What is o(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**3 + 6*o**2 - 8*o - 9. Let j be u(-7). Let y = j - -4. Let i(x) = 2*x - 2*x**y + 1 - x**3 - 4 + 1. Give i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.5 + -10.5. Let h = m + 9. Let p = 30 + -25. What is the nearest to 2 in p, 2\/19, h?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5550 + 5573. Calculate the greatest common factor of 13823 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 374*j**3 - 52*j**3 + 103*j**3.\nAnswer: 425*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**5\/5 + 8*t**4\/5 - 2*t**3 + 4*t**2\/5.\nAnswer: -2*t**2*(t - 2)*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/2 and 21\/(-6)*57\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3, 2, 3.5, 0.29, 2\/9?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14157 + 16511. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve y**3\/5 - 284*y**2\/5 + 20164*y\/5 = 0.\nAnswer: 0, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(-12)*72\/40. Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6.53 or 86\/643?\nAnswer: 86\/643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(4\/3)\/n**(-5\/6) assuming n is positive.\nAnswer: n**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes before 4:52 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 5438 = 5*v, -5*v - o + 4458 = -976. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -z - 35558, 0 = -3*m + 224*z - 226*z + 53323. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -60*p**3 - 539*p**2 + 65*p + 531. Give o(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the third derivative of -t**5\/30 + 488*t**2. Let k(d) = -d + 109. Give k(j(y)).\nAnswer: 2*y**2 + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2*u**2 - 681*u - 22638. Give z(371).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 162376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/4, -5, -0.5, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**2 - 13*u - 8. Let k be t(13). Let w = k + 11. Solve 0*b + 12 = w*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -257278, -1029093, -2315446, -4116337, -6431766, -9261733, -12606238?\n\"Answer: -257269*c**2 - 8*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**2 + 1. Let z(i) = 3*i**2 + 6*i - 13. Let t(k) = -2*x(k) - z(k). Let y be t(0). Solve 7*a = y*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -3, -13, -21, -27, -31?\n\"Answer: y**2 - 13*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 3*p - 16. What is the highest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 21\/31 in 2\/11, -1, -1\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.5 and 0.40235.\nAnswer: -0.603525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13 + 19. Suppose -z*f + 4 = -4*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.13? (a) -0.1 (b) -0.6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (7872\/(-1296) - 2\/(-27))*1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 7985*c + 9613937. Give v(-1204).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19180585 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:45 PM and 8:55 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 1 z, and 1 w when three letters picked without replacement from wzyzzzwyzzz?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 64 and 382016.\nAnswer: 382016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3472660 and 49724?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the third derivative of w**8\/30240 + w**7\/3780 + w**5\/60 + 4*w**2. Let c(i) be the third derivative of n(i). Factor c(a).\nAnswer: 2*a*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4 - (-33)\/12)*4. Let f be -1 + 0 - 15\/n. Solve 4 = f*t, -w + 10*t - 6 = 5*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5971*w - 1041*w + 660297 = -841*w for w.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2270 plus 2.2?\nAnswer: -2267.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 35.30939 weeks?\nAnswer: 355918.6512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 6*i. Let w(n) = -n**3 + n - 2. Let l be w(0). Sort l, 5, i in descending order.\nAnswer: 5, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (993 + 159 + 2543 + 2505 + 632)*(0 + 0 + 2*z).\nAnswer: 13664*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -235, -633, -1221, -1999, -2967?\n\"Answer: -95*l**2 - 113*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -10.58 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 12 = 4*p, -6 = -2*q + q - 2*p. Suppose 2*h + 2*r - 86 = q, -3*r - 8 = 4. What is the remainder when h is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5 - 6 - (-150 - -2). Suppose -n + v = -1384. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1060897*u**3 + 5*u**2 + 54*u - 242?\nAnswer: -6365382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/5, -0.3, -46, 3\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 334115 divided by 63\nAnswer: 334115\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*c = 5*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -3236*r + 31*r**2 + 3236*r + (5*r**2 + 0*r**2 - 6*r**2)*(-1 + 3 + 0) + r**2 - r + r.\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1425.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4615 - 1?\nAnswer: 4614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 - 7*w**2 - 8*w - 8. Let x be y(-6). Suppose -m = 3*c + 11, -7 + 22 = -x*c - m. List the prime factors of (c + 2 + 4)*(103 - 1).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - 7. Suppose 0 = -2*o - n*o - 868. Let s = -152 - o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.568 + -4.568. Which is the closest to 0? (a) w (b) -1\/3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/606897949 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-2)*a*a)**(-1)\/(a**(2\/7))**(3\/2)*(a\/((a\/a**1)\/a))**(2\/117)*a*a**(1\/4)*a*a**(-8) assuming a is positive.\nAnswer: a**(-20129\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z\/((z\/(z\/z**(2\/7)))\/z))**(-44)\/(z**(-3\/5)\/(z\/(z\/(z*z*z\/(z\/((z*(z\/(z\/(z\/(z*z*z**3*z*z)))*z)\/z*z*z)\/z*z)))))) assuming z is positive.\nAnswer: z**(-4194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be (20\/(-12) + 2)*-3. What are the prime factors of 1\/(m + 12\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.042642 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -4*c**2. Let u(r) = -20*r**2 - 3. What is u(s(h))?\nAnswer: -320*h**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -264*c**2. Let x(o) = 444*o**2. Calculate u(x(k)).\nAnswer: -52043904*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*l + 168 = 3*l + 17*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**2 - 6*f + 4. Let w be 30\/70 - (-50)\/14. Calculate p(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00019218 rounded to six decimal places?\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*d + 60 = 31*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 - ((-6 - (-2 - 6) - -4) + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -12*i + i - 2*i - 1 - 13 wrt i.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -150248 divided by 18781.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = 3*u - 4*v, 4*u - 138*v - 10 = -135*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.135 or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/23065869 and -25\/756258.\nAnswer: 46131738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*h - 188 = -59*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -6186312 divided by 3531?\nAnswer: -1752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 11 = -5. Differentiate -5*p**w + 3*p**4 + 4*p**4 + 1 wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c + 7865 = -c. Suppose 0 = -3*s - c + 523. Round s to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 2796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of 34 and 15.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (-3 + 13) - (13 + -4) - (-17 + 13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -2*q. Let z(l) = 29*l + 318269. What is z(f(m))?\nAnswer: -58*m + 318269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 4*w + 17 - 58, -3*f + 3 = 0. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 22443243 and 1137?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2667, 5334, 8001, 10668, 13335?\nAnswer: 16002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*i + 120 - 50. Solve 0 = -d + i*d + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 427*p**4*u*z**2 - p**4 + 24*p**2*u*z**2 - 3*p**2*u - 2*p*z - u*z wrt p?\nAnswer: 10248*p*u*z**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -j + 242, -5*n + 6*j - 4*j = -623. What is the greatest common divisor of 5084 and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -7, -0.4 in decreasing order.\nAnswer: 2, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -82*w - 8. Let g(i) = -171*i - 17. Determine -5*c(n) + 3*g(n).\nAnswer: -103*n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 72 - 72. Is 2 a factor of 0 + -2 + o - 28\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 177*v - 177*v + 4*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -45*n + 222. Let h be v(26). Let q = h + 36021\/38. Does q = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 816315, 6 in increasing order.\nAnswer: -4, 6, 816315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -45546 times -699.4\nAnswer: 31854872.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110*b - 12 = 106*b, -4*a = 2*b - 46. Solve 2*x = 5*h - 19, -2*x + 11 = 3*h - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 154319861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (812448\/576)\/(-403)*(-1)\/(14\/(-24))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8628 + r**2 + 8628.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 21\/26 - 32\/104\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2.995 + 0.005. Let s = 69.7 + -69.6. What is the biggest value in y, -5\/4, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**3 - 3*q**2 + 5*q + 4. Let u(j) be the third derivative of j**6\/120 - j**5\/15 + j**4\/6 - 19*j**3\/6 + 178*j**2. Let c be u(4). What is h(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**1*a)**(1\/7)\/(a**(-2\/7)\/(((a**(-5\/2)\/a)\/a)\/a))*((a\/(a*a**(-5\/3)))\/((a*a\/(a**0*a))\/a))\/(a**(1\/4))**(-11\/2) assuming a is positive.\nAnswer: a**(-317\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/7 + 135\/(-252).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.11 - -0.15. Let a = l - 0.17. Let j = 2.7472 + 0.2528. What is the nearest to a in j, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 264 and 69784.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 30995\/25472 or 0?\nAnswer: 30995\/25472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(2\/7))\/y**(2\/17)*y**(-6)*y**6)**(-3\/16) assuming y is positive.\nAnswer: y**(-417\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that d**4 + 3329*d**3 + 177822*d**2 + 3189132*d + 19099800 = 0.\nAnswer: -3275, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 831 != 833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51325 = -2*c + n - 2*n, 0 = -5*c + 3*n + 128318. Suppose 67*t = 56*t + c. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 295 - -98?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 617*w = 626*w - 45 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**3 - 6*w**2 - 4*w + 53. Let n be o(5). Solve -n*u - 14 = -6*u + 2*t, 0 = -4*u + t - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of 3*f**4\/2 - 20*f**3\/3 - 8*f**2 - 39. Solve n(m) = 0 for m.\nAnswer: -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(11) + sqrt(11) + 2 - sqrt(11)) + 4 - (sqrt(44) + 0))**2.\nAnswer: -12*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 696\/198 + (-2)\/11 - 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -503 by 4042.\nAnswer: -503\/4042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -a (base 14) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-1)*r)**(13\/4)*((r**(-5\/8)\/r)\/r*r)**9 assuming r is positive.\nAnswer: r**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 106*j**5 - 26495*j**4*w - 2484409*j**2*w + 2*w wrt j?\nAnswer: 6360*j**2 - 635880*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.52, -2\/3, -1\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -24a (base 12) to base 5\nAnswer: -2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*v + 5*v + 467 - 467 + v - 6*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 4026*b + 20163. Determine u(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q, 1 s, and 1 h when four letters picked without replacement from qhqdhqhqdsdsqhsdqs?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 625370 is divided by 48087.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 198 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 164*s**2 - 171*s - 170. Let x be i(-1). Calculate the highest common divisor of x and 21120.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*s**5 + 2*s**5 - 6*s**5 - s**5 + 4*s**4 - 4*s**4 + (-4*s**3 - 2*s**3 - 3*s**3)*(2*s - 2*s + s**2).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 - 16 = -3*b. Let z = b + -62. Let y = z + 44. Let h(c) = c**3 + 5*c**2 + 4*c - 2. What is h(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes after 1:12 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(65) - (sqrt(65) - (sqrt(65)*-2 + sqrt(65))))*-6 - sqrt(65))\/(sqrt(25)\/sqrt(5)*-2) + 5.\nAnswer: -5*sqrt(13)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 619.022034 - 619. Round r to 4 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bnn when three letters picked without replacement from bbbbnbnnnnbnnbnnbb?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -127\/11004 and 115\/462.\nAnswer: 121044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -5*x - 3*m - 2, 5*m = -4*x - 17. Let t(h) = 9*h**2 + 7*h + 24. Is 32 a factor of t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 172 = 3*a - 0*i - 4*i, 0 = i - 2. Suppose 59*g = a*g + 810. Round g to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4152371890 to the nearest 1000000.\nAnswer: -4152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10929.7 + 10930.19063. Let q = 0.49 - j. Round q to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -790 - -233. Let d = i - -2051. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3.23143 + -1.17219. Let x = m + -2.06. Round x to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 6 = -p, -j - 2*p + 17 = -1. Suppose 2*l + 4*o = -0*l + j, 5*l - 25 = o. What is the second derivative of -2*y**4 - 19 + l*y + 19 wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 128501005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 114426 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zjjmzllja. What is prob of sequence ljj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What is (90 - -2) + 2 + -100 + 311 + -218?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(22*(-15)\/20)*3*223\/446?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1886 and 6463.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4124?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 - (20 - 14)) + (3 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -5, -1789776 in descending order.\nAnswer: 4, -5, -1789776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -4*y + 2. Let c = -1 + y. Let h be (-4 - 15\/(-9))*4608\/(-896). Solve -4*o = -c*o + h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 815\/(-600) + (-1251)\/(-50040).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 32 = s, 2*s + 24 = -420*r + 423*r. Which is smaller: s or -1\/2115?\nAnswer: -1\/2115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**3 - 22*v**2 + 24*v - 47. Determine s(21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6.74709nm?\nAnswer: 0.00000674709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -2*p**2 + 11*p. Let g be l(5). Let t(d) = 6*d**2 + d - 4. Let c(x) = 7*x**2 - 5. Let o(a) = g*c(a) - 6*t(a). Determine o(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6437 - 6435. Solve 0 = a*k - l + 5, -50*k + 45*k = 5*l + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -10 + (13 - (-30)\/(-5)). What is the nearest to 1 in w, 1\/23, -2?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.04 - 0.14. Let a = 0.0575 - 0.0575. Let h = -107 + 1821\/17. Put d, a, -0.4, h in decreasing order.\nAnswer: h, a, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3815*p - 3868*p + 7690*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 58999, 58997, 58995, 58993?\n\"Answer: -2*b + 59001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -47888 divided by -11972\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 3 + 7)*(-2 + 6 - 2)*(-8*m + 8*m - 26*m**4) in the form w*m**3 + r*m**4 + z + d*m**2 + v*m and give r.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-50)\/(85\/17)*-12*3\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -39 + (-84 - -77) + 122?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - ((-6)\/(-4))\/((-12)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.073116 + -1172939785.\nAnswer: -1172939784.926884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 261.36 - 256. Which is the closest to 0.1? (a) 0 (b) 1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6920529 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1504 (base 7) to base 6\nAnswer: -2424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1791*s - 1784*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*g - 22 = -10*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 28 = -0*a + 4*p, -2*a + 3*p + 7 = 0. Solve -5*s + 3 = -a*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 227*d**2 + 476*d + 44 = 0. What is d?\nAnswer: -2, -22\/227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:54 AM and 12:48 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.04 (b) -3\/8 (c) 56\/3 (d) 1 (e) 4 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 + 7*q**2 - 6*q + 4. List the prime factors of t(-7).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 235109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be 49\/(-147) + 1\/((-6)\/1570). Is (-1 + (-6726)\/4)*i\/655 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is c in -c**5\/2 + 35621*c**4\/2 - 317836601*c**3\/2 + 11089291735*c**2\/2 - 38311193673*c + 32925448296 = 0?\nAnswer: 1, 8, 26, 17793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 331601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6516045 divided by 2595.\nAnswer: 2511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**2 - d - 1. Let s be b(-2). Suppose s*z + 3 = 23. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 48348 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 216 + -167. Let i be (-1)\/((-3)\/(-9)) - -7. Suppose -3*f = f - 20, 5*f - 65 = -i*c. What is the remainder when v is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 4:37 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/12, 2, -3\/10, 3\/2 in decreasing order.\nAnswer: 2, 3\/2, -1\/12, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -28 + 28. Suppose -4 = -4*w - i, r + 3*w = 603. Suppose -o = 5*t - 142, -r = -0*o - 5*o - 3*t. Calculate the highest common factor of 78 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k - 151*k = -54954. What is the smallest common multiple of k and 27?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z + 5*g - 5, 0*g + 8 = 2*z + 3*g. Solve p = -3 - z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -267*m + 71 = -4*t - 252*m, -4*m = t - 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.09 and -34.\nAnswer: -71.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 19 - 3*r + 7 - 7 + 2*r. Let j be -15 + -2 - -5 - 2. List the prime factors of m(j).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*q + 71*q - 161*q - 134*q.\nAnswer: -292*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -3, 2\/17321, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dqq when three letters picked without replacement from {q: 7, d: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 139 divide 4 + (12840\/(-2))\/(((-126)\/(-28))\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 85 times 0.04744\nAnswer: 4.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 0 + (sqrt(275) + sqrt(275)*-2)**2*6*-3 + ((sqrt(275) + 0)**2 + -1 - (sqrt(275) - -2*sqrt(275)*-3)**2).\nAnswer: -11556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 414 divided by -37?\nAnswer: -414\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) -0.54 (c) 2428\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Solve 50*r - 10503 = -10903 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (4 + sqrt(80)*-1)*6.\nAnswer: -24*sqrt(5) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 2187244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 10*s**3 + 40*s**2 + 144*s + 30. What is o(-4)?\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2904) + -1*sqrt(2904) - sqrt(1176)*1)\/(sqrt(8) + (sqrt(8) + (sqrt(8) + sqrt(8)*1 - sqrt(8)) + sqrt(8))*-1 - sqrt(8)*1*-6).\nAnswer: -7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -97\/3432 and -15\/674.\nAnswer: 1156584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2.4134871ns in minutes?\nAnswer: 0.000000000040224785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.134 - -5276.6\nAnswer: 5276.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 73226027 to the power of 1\/2, to the nearest integer?\nAnswer: 8557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2538648 or -0.1?\nAnswer: 2538648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11 - 16. Let s = -3 - v. Let y = 1115\/7 + -159. Which is the nearest to s? (a) 5 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(1\/40))**(16\/5))**(-3) assuming y is positive.\nAnswer: y**(-6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 187598932.\nAnswer: 2, 19, 311, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 - 25*w**2 - 42*w + 1. Let t be x(30). Suppose r = q + 1077, 5*r - q - t = 2*r. List the prime factors of r.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 41*g + 210. Let h be d(-5). Sort h, 24, 4 in increasing order.\nAnswer: 4, h, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 4*n = 3*t + 28, -n + 5 = -t. Find the common denominator of (1\/(-45))\/(t\/1340) and 73\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1394629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.43 - 0.1. Let z = -0.63 - o. Let r = -44 + 42. Which is the closest to r? (a) 0.2 (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v such that -5*v**2 - 85530*v - 365769045 = 0.\nAnswer: -8553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1531 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 p(g) = g**2 + 1. Let o(d) = 8*d**2 + 7. Let j(u) = -3*o(u) + 21*p(u). Let r(f) = -18 + 33 - 15 + 9*f**2. Determine j(r(q)).\nAnswer: -243*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xjh when three letters picked without replacement from bbxyjbbhjhxyybbybj?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 99282.18 micrograms?\nAnswer: 0.00000009928218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes after 2:33 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-13 - 1 + 14 + 22*z)*(2 + 1 - 6) as q + m*z and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -5 times 0.357\nAnswer: -1.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -2*w**3 - 8*w**2 - 5*w + 16. Determine j(-6).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(50)*-1*-3 - (sqrt(7200)*-1 + sqrt(7200) + sqrt(7200)))\/(sqrt(30)\/sqrt(3)*6 - sqrt(40)\/(sqrt(4)*1)).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x + 80. Let j be 1\/(-2) - (-1)\/2. Let d be s(j). Suppose -7*f = -f - 60. What is the highest common factor of d and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -147 + 314. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.3 or 61\/7?\nAnswer: 61\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes before 9:48 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4193)\/26663 - 12\/(-78). Let t = s - -334\/12013. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 20057*c**3*k**3*y**3 - 10*c**3*k**2*y - 17*c**3*y**2 + 13*c**2*y**2 + c*k**2*y**2 - 2*k**3*y**3 - 2*k**3 wrt y.\nAnswer: 120342*c**3*k**3 - 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 152957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1077405701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 31385, 125532, 282443, 502118, 784557, 1129760, 1537727?\nAnswer: 2008458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*((-2)\/5)\/((-4)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000221200 (base 3) to base 6.\nAnswer: 234200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.2 + -1. Let u = i + 0.5. Let j = -5 - -10. Which is the second biggest value? (a) u (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8502046.023 rounded to the nearest one thousand?\nAnswer: -8502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**2. Let b(m) be the first derivative of m**6\/4 + 17*m**3 - 85. Let j(t) be the third derivative of b(t). Determine j(z(c)).\nAnswer: 90*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 318*z + 762*z - 98*z - 20622 = 0 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18689*x**3 - 58*x**2 + 58*x**2 - 4267*x**3.\nAnswer: -22956*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -517, 1 in decreasing order.\nAnswer: 1, -12, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1120941064 + 14.513.\nAnswer: 1120941078.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -9*a - 1. Suppose 0*j = -6*j - 6. What is b(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2, 10, 28, 62, 118, 202, 320?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 5*a - 0*a. Which is bigger: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -x. Let y = -6 - -6. Let o = -3 - -3.5. What is the nearest to y in o, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -733*c + 261. Is y(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/108*(18\/(-4))\/(-3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*v + 39*v + 2375 - 515 = 0 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -9*a**2 + 13*a - 7. Let u(r) = -5*r**2 + 7*r - 4. Let i(h) = 4*f(h) - 7*u(h). Suppose 32 = y + 3*y - 5*m, 0 = y + m + 1. Determine i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3294 (b) -3\/7 (c) 0.2 (d) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-15))\/((-4)\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -94\/9 or -1\/4?\nAnswer: -94\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 15*y**2 - 11*y - 11. Let x(k) = -k**2 - k - 1. Give 2*a(z) - 22*x(z).\nAnswer: 52*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 25 = -8*d. Calculate the remainder when (-320)\/(-140)*(-14)\/(-4) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -29651029 divided by 2?\nAnswer: -29651029\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14381*x - 52241548 + 52241548.\nAnswer: 14381*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 74 - 74. Suppose -6 = -3*l + 3*m, l - 4*m + 2 - 1 = z. Suppose -321 = -l*o + 150. List the prime factors of o.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 2\/7*m**4 + 272\/7*m**3 - 1112\/7*m**2 + 160*m.\nAnswer: 2*m*(m - 2)**2*(m + 140)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 307924725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 + 53. Let t = s + -54. Let i(b) = -13*b + 10. Is i(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 5 = -2*y, 2*r - 1 = 5*r - 2*y. Let i = -1\/3640 - -3\/104. Let o = -3\/7 + i. Is o less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 382 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 6180*m - 15781*m - 3551*m - 1859016 = 8216*m for m.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*s - s + 6*s - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -135 + 138. Suppose 0 = 5*v - n*v - 2. Sort v, -0.1, -3, -0.3 in increasing order.\nAnswer: -3, -0.3, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - -24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**4)**28 assuming q is positive.\nAnswer: q**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 268 = 3*z - 8*a, 0*z + 6*z - 136 = 3*z - 5*z - 5*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 - 63*x**2 + 315*x - 97. Calculate d(6).\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**2 + 2*x - 58. Determine z(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -76, -70, -60, -46, -28, -6?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2 - 1060*q + 18432.\nAnswer: 2*(q - 512)*(q - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 43, -132, -549, -1310, -2517, -4272, -6677, -9834?\n\"Answer: -17*s**3 - 19*s**2 + s + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 371*c - 262*c + 20 - 26 + 325*c + 7 as x*c + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 682609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + k + 0*k)*(-3 + 5 - 4)*(-3 + 1 + 4)*(3*k + 4*k + 0*k).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the second derivative of -k**3\/6 + k**2 - 4*k. Let b be c(0). Solve 3 = -w, -4*x = -x - b*w - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 - 6*p**2 + p - 7. Let f be i(6). Let d(k) = 5*k**3 - 1. Let b be d(f). Let w(r) = -r**2 - 6*r + 5. Give w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 157, 316, 475, 634, 793?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/3)\/(2668\/696)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 2*d**2 + 2*d + 2. Let f(y) = -5 + 8*y**3 - 3*y**3 + 2*y - 5*y**2 - 4*y**3 - 7*y. Give 2*f(h) + 5*m(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 216339075 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*h - 4734 - 4729 + 9472 - 346*h to the form r + u*h and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract 21630587828797.5 from 2.\nAnswer: -21630587828795.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -839, -1679, -2519, -3359?\nAnswer: -4199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v**3 + 44712*v**2 - 8342835*v - 8387550 = 0. Calculate v.\nAnswer: -1, 190, 14715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be 662\/12 - 10\/180*3. Suppose -w*k + 11*k = -660. Solve 45*q = 48*q - k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -644 <= -18669\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5863126*t**3*u**2*x - 3*t**3*x**2 + t**2*u**2*x**2 + 2*t**2*u**2*x + 131*t**2*u - 73*t**2 + 52*t*x + 2*u**2 - x**2 wrt t.\nAnswer: 35178756*u**2*x - 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 13300 (base 4) to base 2\nAnswer: 111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/3 - 14*h\/3 - 16.\nAnswer: -(h + 6)*(h + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3\/2125 - 2119\/4250. What is the biggest value in -8, 15, -1\/4, 2\/9, d?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85.41398ms in microseconds?\nAnswer: 85413.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-14))\/(-2)*83939\/(-923329).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8*z + 8*z - 2*z)*(452*z**2 - 189*z**2 - 220*z**2) + (0 + 0 + 2)*(2*z**2 - 2*z**2 - 3*z**3) to y*z + n*z**2 + v*z**3 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is ((-1)\/((-6)\/23158))\/(50\/150) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 836512 + 235340 = 6*f + 6*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (11\/(-165) + 0)*9. What is the nearest to -2 in -3, 5, -0.048, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that -5*k**5 - 4995*k**4 + 60455*k**3 - 207105*k**2 + 151650*k = 0.\nAnswer: -1011, 0, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5\/2 + (-3)\/(-6). Find the first derivative of 4 + j + 5 - 2 + f wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -35 - -75. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2533 is divided by 2465.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 2 = -3*y. Let v(i) = 3*i**2 + 1. What is the remainder when (y\/3)\/(2\/111) is divided by v(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q - 2. Let s(i) = -i - 2*i - 14 + 8. Let k(t) = 2*s(t) - 7*z(t). Let o(u) be the second derivative of u**2\/2 + 7*u - 59. What is -k(j) + o(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14 - 8. Let p = -4 + u. Solve p*g + 0 + 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -11441 greater than -11440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p*p**(-1\/5)*p))\/(p*p**(1\/4)\/p)*p**(-2\/5)*p\/(p*p**(-1\/8)))**7 assuming p is positive.\nAnswer: p**(-371\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1157 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 10*a**3 + 2 + 0*a + 4*a - 6*a as y*a**3 + f + o*a**2 + j*a and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -2*l**3 - 2*l**2 - 2*l + 1. Suppose 8*w - 65 = -17. Suppose 4*g + w*g + 20 = 0. Let u(d) = d**2 + d. Calculate g*u(m) - i(m).\nAnswer: 2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55791477*o**2 + 27895740*o**2 + 27895738*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q**3 - 2*q**2 + 2*q**2)*(-2 + 2 + 2*q) + 2*q**3 - 2*q**3 - 2*q**4 + (q + q**3 - q)*(-q - q + 0*q) + 4*q**4 + 9*q**4 - 2*q**4.\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.005, 4, -5, 5, -0.017, 1\/14.\nAnswer: -5, -0.017, 0.005, 1\/14, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 72*w**3 - 3*w**2 + 6*w - 2. Let b be o(1). Let r = b - -25. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2043443200 - -4?\nAnswer: -2043443163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*u - 280 - 37 = -677 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 633.6 - 633. Let j = 91.94 - 94. Let m = -0.06 - j. Which is the third smallest value? (a) -3 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1223 + 1222.5565. Let q = -114.0965 + s. Let o = q + 116. What is o rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 0.0895887 millennia?\nAnswer: 8.95887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 2*z = -2*w - 65, -4*z = -3*z - 5*w + 65 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 7:14 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 85366?\nAnswer: 2, 42683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 180? (a) 1 (b) 0.5 (c) 2\/12091\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*i = -496 + 104 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 270 minutes before 6:19 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 128 and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (215\/(354750\/(-300)))\/32.\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 24*q - 69*q + 1 + 52*q. Let d(y) = -3 + 5*y + 5 - 1 + 2*y. What is -6*d(i) + 5*t(i)?\nAnswer: -7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*z - 15 = 29*z. What is the third derivative of -12*i**2 - z*i**2 + 232*i**6 - 239*i**6 wrt i?\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 4*q**2 - 2*q**2 + 0*q**2 + 0*q**2. Let d(f) = 9*f**2. Determine d(k(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 816061678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35758084 is divided by 3905.\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.3 - 0.8. Let l = -3.99 + -0.01. Let s = l - -5. Which is the nearest to s? (a) q (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 661090303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2113 is divided by 305.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -302287 divided by -5.\nAnswer: 302287\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(11) + (-2 + sqrt(11))**2)*-2 - ((-4*4*sqrt(99))\/sqrt(9))**2.\nAnswer: -2666 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 516 divide 26835596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 40896*s**2 + 38284 wrt s?\nAnswer: 81792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 302490 divided by 60498?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8\/3 + 11\/2. Let d = -682874\/271491 + 1\/8227. What is the common denominator of b and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 175 is divided by 58?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 - -27)*(-2)\/(-6)*(-1296)\/96. Is -137 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**3 + 6*c**2 + c - 6. Suppose -25*t - 66 = -14*t. What is j(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 5 - 2)*(-76 + 2 - 19)*(0*f + 0*f + 2*f).\nAnswer: -372*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4951\/36042 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 21*a - 350. Give x(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uuut when four letters picked without replacement from hhhuhrrrhutthhhu.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 7 = 1. Let d(m) = -20*m**4 - 7*m + 14. Let s(f) = 10*f**4 + 3*f - 7. Let q(k) = z*d(k) + 7*s(k). What is the first derivative of q(c) wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -108825528 and 169?\nAnswer: 108825697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 42 - 47. Let u be (-1)\/3 + (y - (-1064)\/42). Solve 35 = 11*s - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1011 + 20?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 28\/34623 and -74\/2204331.\nAnswer: 6612993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95 = 2*v - w, -43 = 2*v - 3*w + 58. Let d = v - -58. Solve -18 = a - 4*m, 0 = 2*a - 0*a + 4*m - d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -200 - 427 - 431 + 1058 - 6628*z**3.\nAnswer: -6628*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 2*p - 7 = 3*p, 2*j = p + 13. Let f(z) = -j*z - 2020 + 2020. Let h(x) be the first derivative of -9*x**2\/2 + 2. Give f(h(q)).\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -81656 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 2 + 109*h - 110*h - h**3 as n*h + j*h**3 + b + v*h**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*-1*sqrt(95)*2*-5)\/(-6*sqrt(15)\/sqrt(3)*-1*-4)*-2)**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 140*c. Let n(i) = i**2 + 6*i - 6. Let h be n(-7). Does 20 divide j(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**3 - 13*p**2 - 4*p - 33. Determine w(-16).\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/4*1 - (-9081)\/36. What is the greatest common factor of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 18588*k - 1 - 18603*k.\nAnswer: -15*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**3 - 5*w**2 - 4*w - 32*w + 5*w**3 - 7*w**2 - 20.\nAnswer: 4*(w - 5)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 21*b - 11. Give d(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 11010111 (base 2) to base 7.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of -19*h - 1 - 3\/2*h**2. Determine l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17147, 68417, 153875, 273515, 427331, 615317, 837467, 1093775?\nAnswer: 1384235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 505652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -1216 + 630 + 631 + 99*k + 33*k. What are the prime factors of w(7)?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4974, -4978, -4980, -4980?\nAnswer: -4978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:41 PM and 5:03 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 + 2577239?\nAnswer: 2577236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w = 4*j, -16657 = 3*j - 16651 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 53*y + 3. Let b(d) = -86*d**2 - 331*d - 4. Give p(b(v)).\nAnswer: -4558*v**2 - 17543*v - 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -44*y - 804. Let m(j) = 51*j + 806. Give -7*h(l) - 6*m(l).\nAnswer: 2*l + 792","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 985425832.\nAnswer: 2, 73, 1687373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.8? (a) 3\/7 (b) 5 (c) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 30*n + 2. Let a(x) = 504*x + 32. Give -6*a(g) + 104*p(g).\nAnswer: 96*g + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 2*v**2 - 209*v - 1690. Determine u(112).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 87021975 to the nearest integer?\nAnswer: 9329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/5 (b) 2 (c) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17.92 + -0.08. Let x = -12 - h. What is the smallest value in 2, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b - 10*b + 56 = 0, 33 = -4*j - 543*b + 546*b - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l**2 - 3*l**2 + 0*l**2)*(-2*l + l + 0*l - 3*l + 4*l + 0*l + (-1 - 2 + 5)*(0*l + l - 2*l) + 1872*l + 402235 - 402235).\nAnswer: -1870*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 60*h - 36*h - 456. Suppose 2*f - 175 = -3*f. What is the remainder when f is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 413114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -567, 1282, 4351, 8622, 14077, 20698, 28467, 37366?\nAnswer: 47377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 14281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 85192997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q. Suppose k = 2*o + 6, -6*o = -o + 5. Suppose 12 = -4*u - 0*u + 4*r, -k*r = -2*u - 16. Let f(v) = -1 + 1 + v**u + 0. Calculate f(z(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1287 is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 55 and 19.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -97, -568, -1367, -2494?\n\"Answer: -164*f**2 + 21*f + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6665011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 6644280*y. Let f(a) = -16*a. Give m(f(t)).\nAnswer: -106308480*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10\/(-2)*((-18)\/(-108) + 73317\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 235.942661 to 1 dp.\nAnswer: 235.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 15988455 by 326295.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 6\/13 (b) -3 (c) 0 (d) -3\/4 (e) -4\/3 (f) -8\/75\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*q - 2 = -50. Suppose 2*c + 10 = -q. Let m(f) = -f**3 - 9*f**2 - 12*f - 13. Let k be m(c). Solve -5*s = 6 + k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.6770158 tonnes?\nAnswer: 677015800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -3*c**3 - 81*c**2 - 77*c + 28. Calculate u(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 548 = -2*g + 2*n + 544, 36 = 11*g + 18*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -247\/94571400 and 77\/26700.\nAnswer: 94571400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -1071 (base 12) to base 4.\nAnswer: -130111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - 22b530?\nAnswer: -22b52d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 19, 3, 2, -2 in descending order.\nAnswer: 19, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(-2)*-1*(-24)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 55*z**5 + 1195*z**4 + 825*z**3 - 315*z**2 = 0.\nAnswer: -21, -1, 0, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, c: 3}. What is prob of picking 2 c and 1 q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -195*m + 140 = -209*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the second derivative of 0 + 0*c**4 + 0*c**5 - 12*c + 0*c**2 - 8\/3*c**3 + 11\/30*c**6. Find the second derivative of l(a) wrt a.\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 - 12 - 11*y + 5*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5 + (-36)\/(-27)*12\/4)*-2. Solve -x*c + 2 = -10 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8\/(-24) - 2904363\/(-81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - 0 - (-7 - (-19 - -16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4393959?\nAnswer: 3, 19, 157, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 - -1465?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -27213*c**4 + 712*c**2 + 21 wrt c?\nAnswer: -653112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-94)\/(-12) - (12 - 4). What is the smallest value in -0.2, 5, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(-14)*336\/72.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1299, -2508, -3717?\n\"Answer: -1209*d - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -65*q + 1346. Is c(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 + -1.6. Let p = -1.4 + h. Let c = 2 + p. What is the second smallest value in -0.3, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 - 2*o + 4)*(-4 - 1 + 4) + (5*o + o - 3*o)*(0 - 2 + 1) + (6 - 7 - 2)*(1 - 1 + 2*o) to q + d*o and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 881731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/((t**43*t)\/t))\/(t*t*t\/(t\/(((t\/(t*t\/t**(-4\/31))*t)\/t)\/t)*t)))\/(t*t\/t**(-23\/3)*t**(-3\/4)) assuming t is positive.\nAnswer: t**(-18521\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -1. Let g(k) = k. Let y(p) = 6*p + 43. Let n be y(-7). Give n*a(t) - g(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -2*m**3 + 6*m**2 - 15*m - 24. Let w(h) = 3*h**3 - 10*h**2 + 23*h + 35. Let p(t) = -14*b(t) - 9*w(t). What is p(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10 + 13. Let y be (-11)\/r*(-90)\/6. What is the common denominator of 91\/10 and 18\/5*(-50)\/y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 8 (b) 6 (c) 4.5 (d) -2\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(-4 + (sqrt(85) + -2*1*sqrt(85))\/(sqrt(10)\/sqrt(2)*-1)))**2 + -2)*-1.\nAnswer: -526 + 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.16000045 - 1.16. Round f to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.5900019nm?\nAnswer: 0.0000005900019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -k - 743*n + 745*n, -2*k + 8*n - 22 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x\/x**(-2))\/(x\/x**0*x)*x**(2\/5)*x\/(x*x**(1\/10)))**(1\/55))**21 assuming x is positive.\nAnswer: x**(273\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-75)\/(-3)*((-1462944)\/(-840))\/(-311)?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*y**2 - 10*y**2 - 5*y + 39*y**2 - 14*y**2 to j*y + d + u*y**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 2082.47261 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -48 + 62. What is the least common multiple of t and 693?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28\/(-16)*(-36)\/(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11071, -22143, -33215, -44287?\nAnswer: -55359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 597493 + -1135493. Round t to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 46*u**2 + 5756*u + 750. Give s(-125).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11296 is divided by 534?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 5*k + 14 = k, -3*k = -15. Let o(s) = -20*s - 6. Let w(l) = 7*l + 2. Let h(p) = z*w(p) - 6*o(p). Is h(9) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-440)\/(-330) + 34\/(-24).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 213985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 580355264 to the nearest integer?\nAnswer: 24091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c - 16. Let q be v(0). Let n = -209 - -210. Does 11 divide 49\/n - (16 + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Round 48.7676757 to one decimal place.\nAnswer: 48.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 82 = -10. Suppose -4*f + j = 2*v + 2, 0 = -2*f + 3*v. Suppose f*s = 8*s - 55. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**3 + 22*b**2 - b - 376. Let k be u(20). What is the greatest common factor of 14342 and k?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the first derivative of -2*m + 0*m**3 - 1\/4*m**4 + 1\/2*m**2 - 9. Let d be b(-2). Solve -3*s = -d - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*j = -19*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -1998 > -1998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = l. Suppose 13 = a + d, -2*a + 31 = -3*d - l*d. Let o be 6\/(-4) - (-77)\/a. Solve -c = -o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(72)\/sqrt(4))\/sqrt(9).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 16*f**2 + 2*f**2 - f**2 in the form i*f + z + s*f**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -4*r + 78. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 44.59935 seconds to nanoseconds.\nAnswer: 44599350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.2 - -3. Let h = 3 - n. Let a = 193\/3 + -65. Sort 0.3, h, a in descending order.\nAnswer: 0.3, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -750 = 13*w - 9. Let d = w - -65. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -745332 - 796668. What is c rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -11*m**3 + 3*m**2 - 27*m - 3. Let p(u) = -12*u**3 + 2*u**2 - 27*u - 2. Let s(v) = 3*p(v) - 2*x(v). Find the second derivative of s(c) wrt c.\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -4*o + 3*s + 2*s, -4 = s. Let x be o\/((-5)\/((-5)\/2)). Let f(y) = -5*y**2 + y**2 - y**x - 1. Determine f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10, -9, -3, 0 in increasing order.\nAnswer: -10, -9, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - 2*q**3)*(1259*q + 1094*q - 575*q + 1115*q - 311*q).\nAnswer: -5164*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 63888 and 13310.\nAnswer: 319440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 315 + -336 - (2 + -12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-402)\/(-4)*8\/(-6). Let w = -90 - z. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9020, 9012, 9000, 8984?\nAnswer: 8964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 106250.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is ((-149)\/4)\/(6\/(-120)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 208? (a) 4 (b) -2 (c) 5 (d) 2 (e) -3399\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 5 + 4)*(4*i**2 - 4*i**2 + i**4) + (56 - 43*i - 56)*(-5*i**3 + 3*i**3 + 3*i**3).\nAnswer: -31*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-160)\/40*(-1)\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 9, -3*a = -7*a + w - 7367. Let m = a + 7225\/4. Is m greater than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 2*x + x. Let k = 2 + x. Let t = 3 + k. Is 0 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -4*j + j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3) - (sqrt(147) + 1 + sqrt(147))) + sqrt(3) + sqrt(3) + -1 + -1)**2 - (-2 + sqrt(24)\/(2*sqrt(8))).\nAnswer: 131*sqrt(3)\/2 + 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssnsnnsssnnssssn. What is prob of sequence sss?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Rearrange -348*r - 140*r + 5 - 7 + 2 to b*r + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 5*t - 2*t - 51 - 5*t. Let x be u(-24). What is the closest to x in -2, -0.5, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - -5163500?\nAnswer: 5163475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1129 + 674*v**4 + 1129)*(-2 - 2 + 6).\nAnswer: 1348*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 181 (base 14) in base 8?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 1.034367 to two decimal places.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -p**2\/2 - 138845*p\/2 + 138847 = 0.\nAnswer: -138847, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 262 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 23 = -19. Let x be (-3)\/(-12)*8\/h. Which is the third biggest value? (a) 0.2 (b) -1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 204726*a**2 + 1.\nAnswer: -204726*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 7*d - 1. Let f(x) = -1. Let g(v) = a(v) - 6*f(v). Let b be g(4). Suppose t + 6 = 3, 4*w - 3*t - b = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.2 + 0.1986. Round l to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*509.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*x = -3169 + 929. Calculate the highest common factor of 110 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/35*-35 - 4*(-3)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 + 214227?\nAnswer: 214230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 176395531*p**3 - 88197773*p**3 - 88197763*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -100 + 102. Let m be (-6*8\/(-28))\/(y\/21). What is the greatest common factor of m and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12540839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) 30\/49 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w**(2\/17)\/w*w*w**(-2\/9)*w**(4\/3)*w**(6\/5)\/w*w*(w**(-1\/4))**(-1\/18)*w**1*w*w**3 assuming w is positive.\nAnswer: w**(5741\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 22 - 20. Let w(q) be the first derivative of -1\/2*q**b + 0*q**3 + 0*q**5 + 5 - q**6 + 0*q**4 + 0*q. Find the second derivative of w(s) wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1\/7234 - -222467\/155531. Let r = c + 3\/43. Solve -1 + 1\/2*p**3 + 0*p**2 - r*p = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/9, 3, 4, -4, -25 in increasing order.\nAnswer: -25, -4, 2\/9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -17*m - 11. Let y = 7 - 8. Let x = y + 5. Let g(k) be the second derivative of -k**3 - 2*k**2 + k. Determine x*h(w) - 11*g(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1 - 1.5. Let n = -9.3 + 9.24. What is the nearest to n in 0.5, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -138 times -64226?\nAnswer: 8863188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 4758 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 367890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 3*j = -654, 0 = 4*x - 12*j + 16*j - 640. Calculate the remainder when x is divided by 46.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**3 - 4*p**2 - 3*p + 2. Let a be m(-3). Let d be -2*(-2 - 3\/6). Suppose 3*b + 2 = d*x, 3*b - x + a*x + 14 = 0. Put 3, b, -5 in decreasing order.\nAnswer: 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**2 + 2*q**4 + 2*q**2 + (2*q + q - q)*(-3*q + 3*q + 6*q**3) + 4*q**2 - 2*q**4 - 4*q**2.\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 93790262 and 2286.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (60\/(-110))\/(10*(-153)\/(-990)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gqv when three letters picked without replacement from gvavqgn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -38419*f**4 + 223*f**3 - 2*f**2 + 2*f - 145591252 wrt f.\nAnswer: -461028*f**2 + 1338*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 215, -3785 in decreasing order.\nAnswer: 215, -5, -3785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/18)\/((-35)\/(-84))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.29 - -0.29. Is f at most as big as -1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -36 - -101. Let h = q + -32. Calculate the highest common divisor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 117837, 235672, 353507, 471342, 589177, 707012?\nAnswer: 824847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 977874343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/1)\/((-65)\/(-26)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:12 PM and 10:10 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/(25\/2))\/((-6446)\/(-209495))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*q**4 - 3603*q**3 + 59*q**2 + 12407854 with respect to q.\nAnswer: -16*q**3 - 10809*q**2 + 118*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is next in 28, 15, -6, -35, -72?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 18 - 25 - 8400*b - b**2 + 8 - 1 in the form d + c*b**2 + v*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 81741497, 163482993, 245224487, 326965979?\n\"Answer: -d**2 + 81741499*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 586 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -4704 (base 8) in base 10?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00062079084 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-23)\/((-759)\/7788)*1\/4)\/((-11)\/22)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 3*t = -799, -2*a = 3*t - 41 - 1560. Suppose 3 + 13 = 4*v. Suppose 6*y - a = -2*d + 3*y, 5*d = -v*y + 1991. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -5*a - 43, 3*d + 4*a + 18 = 27. Let f(n) = n**3 - 5*n**2 - 8*n - 27. Give f(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(891) + sqrt(891))*-1 + sqrt(891) + -3 + -3 - (-4 + sqrt(891)*-1 - sqrt(891) - (sqrt(891) - -3*(2 + sqrt(891)))))**2.\nAnswer: 180*sqrt(11) + 22279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 12.221 * 1134.\nAnswer: 13858.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u + 2*b + 1347 + 2104, 3*b = 6. Let o = 1113 + u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 35 and 22806.\nAnswer: 114030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*n**4 - 7563*n**3 + 14*n**2 - 9*n - 12732361.\nAnswer: 8*n**3 - 22689*n**2 + 28*n - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2706588 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 230\/17 (b) 0.1 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/4973, -2.7, 3?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 87726*y**2 - 30*y + 362.\nAnswer: 175452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -3 + (1 - (-3 - 5)) - (9 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -22*i + 20*i + 27, -c - 2*i + 7 = 0. Let g(p) = -p - 5. Let n be g(-5). Suppose -2*j + n - 8 = 0. Sort j, 0, c.\nAnswer: c, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*h + 72*h - 581 = -h. Let y(t) = 8*t - 46. Determine y(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 12\/(-8)*(1 - -7). Let t be -4*9\/o - -6. Is (-3)\/2*(-138)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2459.1 - 2459. What is the smallest value in -4\/5, s, 10, -7, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59031724 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i**2 + i + 1. Let y(h) = -4*h**2 + 4*h + 8. Let k(t) = -8*o(t) + y(t). What is the second derivative of k(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27, -96, -257, -558, -1047?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -2*d**2 + 40*d + 25. Determine c(26).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y. Let s be p(5). Let t(x) = -x**3 - 6*x**2 - 5*x + 1. Let u be t(s). Let q(f) = -6*f**3 + 0 + 0 + f. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2199362, -4398730, -6598098, -8797466, -10996834?\nAnswer: -13196202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times -60.3?\nAnswer: 301.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -5723746?\nAnswer: 1\/2861873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 801 and 9?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -2*i + 7*i + 15, -10 = -2*i - 2*a. Suppose -5*j + 8*k = 3*k - 50, i = -4*j - 2*k + 52. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3427026919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 1 + d**2 + 6*d - 2*d**3 - 2*d**2 + 7*d**2. Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -51*k + 55*k + 2*c - 658762, 4*c - 658776 = -4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -30 + 34 + -18 + 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*q - 4 = 11*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**3 + g**2 + 8*g + 127. Let j be 0*(-5 + (-12)\/(-3)). Is b(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - l - 15 = 0, -4*w + l + 7 = 0. Let x be 3\/((-2)\/((-92)\/w)). Suppose -3*u + 5*u = x. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -5*u**4 + 65865*u**3 - 28442610*u**2 = 0.\nAnswer: 0, 447, 12726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-2\/5))**24*p**14\/p**(-5\/3) assuming p is positive.\nAnswer: p**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, k: 1, r: 7, s: 9}. What is prob of picking 1 s and 3 r?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 594 divide 4595778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u - 10. Let w be n(-7). Let d = -9.6 - -10. Let t = d - 0.3. What is the closest to t in -2, w, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -523 * 16723.2\nAnswer: -8746233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/375970 and 11\/49.\nAnswer: 2631790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -k**2 - 5*k**2 - k**2 + (3 - 3 + 3*k)*(-18192 + 132*k + 18192)*(2 + 0 - 3) to x + d*k**2 + s*k and give d.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the first derivative of -h**3\/2 + 7*h**2\/2 - 7*h + 2. Let c(n) be the first derivative of y(n). Differentiate c(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t = 5*o + 2 - 17, 3*o - 2*t = 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.55 + -0.05. Let l = 0.2 - -0.8. Let z = l - 1.5. Which is the closest to -2? (a) z (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (9\/4)\/(2\/(-8)). Suppose 0 = 3*j - 2*z + z + 57, 2*j + 52 = -4*z. Is (-3)\/y - j\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.04249 + -2.95751. Which is bigger: x or 916?\nAnswer: 916","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.008967 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 5, j: 4, g: 1, p: 2, b: 2}. Give prob of picking 1 x, 1 b, and 1 g.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 175*u + 23*u + 1193*u - 1.\nAnswer: 1391*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = -24*d + 72. Solve 3 = p - 7*m + 3*m, -2*p = -d*m + 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-68)\/(-24)*-6 - -489. Solve -t*q + 30 = -462*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1397, -5597, -12687, -22763, -35921, -52257, -71867?\nAnswer: -94847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of 23\/25*k**2 - 2\/15*k**3 - 2\/25*k**4 - 312 + 12\/25*k. Determine a so that j(a) = 0.\nAnswer: -3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/5)\/((-24)\/120). Suppose 6 = -3*s + w*s. Solve 0 = -s*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 86, -2, 78 in descending order.\nAnswer: 86, 78, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -19 + 3 + 26*y - 10 - 7. Let g be h(18). Suppose -3*k + m = -m - g, 0 = -5*k + m + 725. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -246, -0.2, 11, -4, 1, 815 in decreasing order.\nAnswer: 815, 11, 1, -0.2, -2, -4, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:41 AM and 7:48 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q + 6. Suppose -5*a + 3*l - 8 = 0, 0*a + 1 = 2*a + q*l. Let w = 5 + a. Solve o = -0*o + 2*i - w, -4*i + 8 = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, q: 3, e: 1, b: 1, i: 5, v: 1}. Give prob of picking 1 q and 1 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 338 times 0.076?\nAnswer: 25.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 divided by 27.\nAnswer: 19\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -2*f**2 - 365*f - 896. Let z be r(-180). Let j(w) be the second derivative of 0*w**2 + 1\/3*w**3 + 1\/10*w**5 + 0 - 26*w + 1\/3*w**z. Factor j(x).\nAnswer: 2*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4403083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-c - c + 0*c - 7*c)*(60*c**2 - 95*c**2 + 139*c**2) as g + j*c**2 + b*c**3 + k*c and give b.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -25, -2\/5, 352\/5, 0?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.087, 5, -2077.2?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes after 5:56 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g - w - 13, 13 + 17 = -5*g - 2*w. Let p be g\/(-3 + 7)*-5. Suppose -4*a - p + 26 = m, 0 = 2*a. Calculate the greatest common divisor of m and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 1 = 3*o. What is the remainder when (-1)\/1 - (-4 + 1) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4679, 4677, 4675?\nAnswer: 4673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 + 2*k - 5 - 3*k + 2*k - 3*k + (-3 + 0 + 2)*(-2*k + 5*k - k) - 4*k - k + 3*k to r + z*k and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000147391524 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 + 17*c**2 + 1110*c + 622. Determine j(43).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 84*i**2 + 96*i**2 - 86 - 190*i**2 + 21*i + i**3. What is the hundreds digit of c(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 42 + -89?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**(4\/3))**(-15) assuming x is positive.\nAnswer: x**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rytyfyf. What is prob of picking 1 r and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-54)\/126 + (17\/(-7))\/(-1). Solve 57*z - 59*z - l = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/72 and -161\/30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = -2*s - 2*a, s - 4*s - 2*a + 100 = 0. Let j be ((-6)\/14)\/((-328)\/11480). What is the highest common factor of j and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-1\/4))**24*r**(1\/2)\/r*r*r\/((r*r**2)\/r*r)*r assuming r is positive.\nAnswer: r**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2860807?\nAnswer: 2860807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -263 + 266. Solve -x = -5*v - 4*t, -4*t + 2 = 4*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -2*c**5\/11 - 86*c**4\/11 + 3222*c**3\/11 + 262*c**2\/11 - 9476*c\/11 - 6432\/11 = 0.\nAnswer: -67, -1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 495.7113 nanograms to tonnes.\nAnswer: 0.0000000000004957113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2*x + 14. Let m(d) be the second derivative of d**4\/12 + 119*d - 2. What is m(f(n))?\nAnswer: 4*n**2 - 56*n + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be 25\/(-5)*-8 - -4. Suppose 0 = 49*u - r*u - 50. Suppose -22 - 108 = -5*d. Calculate the remainder when d is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1000*r - 431344 = -1008*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ggakkgjkrhh. What is prob of picking 1 j, 1 k, and 1 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 10566, 21431, 32558, 43947, 55598?\n\"Answer: 131*d**2 + 10472*d - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from ttsts.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 41555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the third derivative of -4*l**7\/105 - 2*l**5\/15 - 3*l**2. Find the third derivative of s(i) wrt i.\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h = -16*h - 8, 3*x - 1567 = 2*h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 102*l + 102*l - 279*l - 41*l + 120*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -14 + (25 - 33) + 50\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 21202110 (base 4) to base 13\nAnswer: 14a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 220 is divided by -3 + (-39)\/(-13) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 78 + -73. Let n be 4\/6 - 295\/429. Let f = -235\/2431 + n. Put d, f, 0.4 in descending order.\nAnswer: d, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15777 = -2168*u + 2163*u - 4*o, 0 = -2*u + 3*o + 6343. Calculate the greatest common divisor of 1199 and u.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -24 - 25.72.\nAnswer: -49.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 87, 104, 135, 186, 263, 372, 519, 710?\n\"Answer: y**3 + y**2 + 7*y + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -57361*u + 3683. Is a(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4 - 2*d**3 + 0*d - 5*d + 2 + 88*d**2 - 89*d**2 + d**4 as k*d**3 + l*d**2 + q*d + z + v*d**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*d - 3*m = 11*d - 58, 4*d - 84 = -4*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27952 is divided by 333?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 5*d + 200 = 0, 0 = 3*y - 6*y + 2*d + 124. Suppose -y*k = -51*k + 67543. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15 + 3. What is the lowest common multiple of 6 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10544667 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -10*r**3\/3 - 556*r**2\/3 - 7162*r\/3 + 2576 = 0.\nAnswer: -168\/5, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72)\/(sqrt(16)\/sqrt(2)))\/(6*1*sqrt(3)) - ((sqrt(3) - (sqrt(3) - -5*sqrt(27)) - sqrt(75)*2)**2 + -4).\nAnswer: -1871 + sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2032*l + 6710 + 83403 = -52169 - 10118 for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.45 and -1958141.2?\nAnswer: 1958140.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -12 and -20741092?\nAnswer: 248893104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 + 7. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11429800 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -57\/10 and 99\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 775084 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1739 and 3293?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**3 - 21*s**2 + 42*s - 83. Calculate n(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 523 or 205807\/393?\nAnswer: 205807\/393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4\/9 - 14\/9*d + 10\/9*d**2 = 0 for d.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*(f**(-1\/3)*f)\/f*f)**(-2\/9))**(2\/7) assuming f is positive.\nAnswer: f**(-20\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:05 AM and 4:15 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*k + 286*k + 70*k + 81*k.\nAnswer: 475*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 = -26*a + 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let -2*n**3\/7 - 4*n**2 - 8*n + 240\/7 = 0. What is n?\nAnswer: -10, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 31b (base 15) to base 7.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 5385.347 decades to millennia.\nAnswer: 53.85347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 192427 - 131836. What are the prime factors of g?\nAnswer: 3, 19, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 100 = 4*g, 9396*l = 9391*l + 3*g + 121. Calculate the smallest common multiple of 10 - 2*(-2)\/2 and l.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 13*1141.55\nAnswer: 14840.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be (18\/(-2))\/(-1) + 0. Let n(h) = -h + r*h - 10*h. Give n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 207008*28.6\nAnswer: 5920428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 3 = 4*b - 3*o, -11 = -2*b - 3*o. Suppose b = 3*a - 5. Suppose 5*z = -3*d + 25, 0 = d - a*z + 3 - 15. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w + 5. Let d be x(12). Let a = d - -11. Solve 4*i - 6*i = a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 249379*q**3 - 380578*q**2?\nAnswer: 1496274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-148)*-2)\/(8496\/(-11956704)) + (-8)\/(-148).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*j**3 + 0 - 2*j**3 - 2*j**3 + 1 wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - k = 2, 2*q + 0*k = -5*k - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the first derivative of -5*t**6\/18 - 5*t**5\/3 + 5*t**4\/2 + 160*t**3\/9 - 80*t**2\/3 + 15. Find a such that h(a) = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -78 + 77.97. What is the biggest value in c, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - 11) + (0 - -6 - -13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 18*r - 25. Let o(d) = -9*d + 13. Let z(g) = -11*o(g) - 6*x(g). Differentiate z(a) wrt a.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from hjunw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 12 = s. Let u(i) = -2*i + 5 - 4 + s*i. Let y be u(2). Calculate the greatest common divisor of 99 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -2\/9, -2\/7, 2\/3, 17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 21304 (base 6) to base 7.\nAnswer: 11341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 - -1123051?\nAnswer: 1123052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16 + -12. Suppose y*s + 28 = 228. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18*(-16)\/(-80)*((-690)\/36)\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 58643 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 54983352 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -3*s**4 + 45*s**3 - 81*s**2 + 39*s = 0. What is s?\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 112 = -0*m. Find the third derivative of -15*c**4 - 36*c**2 + m*c**4 - 3*c**4 wrt c.\nAnswer: 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1107 divide 208116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53*m**2 - 88*m**2 - 37*m + 147*m**2.\nAnswer: 6*m**2 - 37*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r**3 + 414 - 242 - 248 - 243 + 557 - 238.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*b**4*k - 15*b**3*k - b**2 + 3*b + 4*k wrt b?\nAnswer: -48*b*k - 90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3230542987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**2 + 3*i + 1. Let j be t(-4). Suppose b - 8 - 11 = -2*q, -51 = -j*b + q. Calculate the remainder when 8 - -1 - (-83 + -49) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 25.018599 microseconds to minutes.\nAnswer: 0.00000041697665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = -3*x + 21 + 6, -10 = -x - 2*v. Factor -4*z**2 - 12*z**x + 6*z**4 + 2*z**2 + 5*z**3 - 11*z**3 - 2*z**5.\nAnswer: -2*z**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 2*s**3 + 17*s**2 - 8*s + 5. Let j be o(-9). Put 1, 127, -3, j in ascending order.\nAnswer: j, -3, 1, 127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -12*z**2 + 4*z + 39. Let m(p) = 2*p**2 - p + 1. Calculate -5*m(b) - t(b).\nAnswer: 2*b**2 + b - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the second derivative of -9*x + 0 + 1\/2*x**2 + 1\/3*x**3. Suppose 3*s = -5 - 4. Determine a(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 716274 and 3276?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 74431994 and 8106?\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + 4*d**2 + 6*d + 10. Give v(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 8 = -0*q - 4*k, -1 = q - 5*k. Suppose n - 5*h = 27, q*h + 6 = -14. Let s = n - 3. Which is the third smallest value? (a) -1\/2 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -2*n - 6. Let d be f(-5). Find the second derivative of -7*k**d + 2 + 3*k - 2 - 2*k wrt k.\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, n: 4, b: 2, x: 6, j: 1, y: 1}. Give prob of sequence njb.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the second derivative of -s**5\/150 + 14*s**4\/45 - 47*s**3\/15 + 66*s**2\/5 + 135*s - 3. Find d such that j(d) = 0.\nAnswer: 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -64, -75, -144, -307, -600, -1059, -1720, -2619?\n\"Answer: -6*g**3 + 7*g**2 + 10*g - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 27*o**2 + o - 3. Is p(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 21, 2\/821, 2\/39?\nAnswer: 2\/821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -594408 + 0.21.\nAnswer: -594407.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.03, 0, -11158, 2\/7, 1, 0.5, -1\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 6*h**3 - 8*h**2 - 8*h + 15. Let l(r) = -4*r**3 + 5*r**2 + 5*r - 10. What is -5*a(q) - 8*l(q)?\nAnswer: 2*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 31*u + 12*u + 129 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3, -42, -173, -432, -861, -1502, -2397, -3588?\nAnswer: -5117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 163 a factor of 1450410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from stgwsggwwwggs. Give prob of picking 1 t and 3 g.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 135336 is divided by 591.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -k**3\/5 - 133*k**2\/5 - 771*k\/5 - 1143\/5 = 0.\nAnswer: -127, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, u: 4, n: 1, l: 3, b: 6, a: 1}. What is prob of picking 2 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 1479*x - 3. Let q(v) = 4228*v. Calculate t(q(a)).\nAnswer: 6253212*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2 - 36*k - 242. What is q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2711 is divided by 181.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -92289 by -5.\nAnswer: 92289\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes before 11:55 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.4874 - 12.8229. What is s rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1501048232?\nAnswer: 2, 1201, 156229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the second derivative of -30*q - 1\/2*q**2 + 0 - 71\/6*q**3. List the prime factors of h(-3).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61 = -b - 5*q - 312, -3*b - 753 = 5*q. Let z = b + 256. Solve 2*g = 0, -z = 5*n - 2*g - 2*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-2\/5)*b)**23\/(b\/(b*b**(9\/8)*b)*b*(b\/((b*(b\/((b**(-8\/9)*b)\/b))\/b)\/b))\/b) assuming b is positive.\nAnswer: b**(5693\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 5 + (1 - (12 + -6) - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.0166 in -6\/29, 0.4, 4\/7, -2?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 42609, 84521, 126433, 168345, 210257, 252169?\n\"Answer: 41912*f + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24598?\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35004 - 14253 = -9*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -104 - -104. Suppose a = -13*t + 6*t + 49. Solve 2*h - t = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -127*s + 0*s - 79*s + 25*s + 7421 = 0 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89*o + 54 + 53 = 18*o. Which is smaller: -2\/145 or o?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-5 + -1*((sqrt(63)\/(sqrt(45)\/sqrt(5)) - sqrt(42)\/(sqrt(24)\/sqrt(4))) + 0)))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1\/2 + 7\/6. Let o = 0.03 - 0.53. Which is the biggest value? (a) o (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**3 - 2*p**2 - 7*p - 11. What is the remainder when 74 is divided by y(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 110219434 is divided by 549.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (228 - 222) + 6 + -6 + (-9 - 0) - -22.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*o + 17*o - 8 = 0. Let h = o + 14. What is the lowest common multiple of 11 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -2*z + 8*z. Let l(r) = -r**3 + 5*r**2 + 5*r + 5. Let t be l(6). Let x be -3*(t - 5\/(-6)). What is the biggest value in z, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 4*r = -22, 4*g - 14 = 2*r - 0. Suppose -36 = -4*f - p, 0 = 2*f - p + 2*p - 18. Solve f*a = g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + -11 + 9 - (-48)\/(-9).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - -3)\/(-3)*-3. Suppose -9 = -j*w + 24. Let d(n) = w - n**2 - n - 4 - 5*n. Give d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*i - 8 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 5*i + 13 = 0, 4*i = -5*o + 2*i - 38. Let u = o + 13. Suppose 3*f + a + 83 = 0, u*f = -5*a + a - 143. Find the common denominator of f and -45\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 41739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.013 in 4, -2, -5, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 328 and 6437?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 388 - 209. Let y = t + -118. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 5*r**3 + 3*r**2 - 2*r - 6. Let k = -42 - -46. Let i = -2 - k. Let y(u) = 9*u**3 + 6*u**2 - 4*u - 11. What is i*y(j) + 11*o(j)?\nAnswer: j**3 - 3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 AM and 11:06 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w + 4*r - 12 = -w, 0 = 3*w - r + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 + 8*w**2 - 12*w + 13. Let m be u(-9). Let o = m - -16. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 divided by -5035.\nAnswer: 2\/1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -39062, -78121, -117180?\nAnswer: -156239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82*r - 51 = -365 - 260. Solve -d - 2 = -u, 10*u - r*u - 10 = 5*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (((sqrt(847) - 4*2*sqrt(847) - sqrt(847)) + (3 + -1*sqrt(847) - sqrt(847)))*5)**2 + 3.\nAnswer: -16500*sqrt(7) + 2117723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12.9 - 12.9886. Let n = i - -0.088199. Round n to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that i**2\/5 - 113*i\/5 + 112\/5 = 0.\nAnswer: 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 654145 or 654143?\nAnswer: 654143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 2*p + 4*w, w - 238 + 458 - 237 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6440001 micrometers to nanometers.\nAnswer: 644.0001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*l**2 + 9*l**2 + 10*l**2 + (1 - 3*l - 1)*(5*l + 0*l + 0*l) to the form b*l**2 + w*l + d and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 20593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 2, n: 9}. Give prob of sequence nnzn.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16*y**3 + 1949*y**2 + 11136*y + 12.\nAnswer: -96*y + 3898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 100 (base 4) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 765818 is divided by 85090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 176 + -189.9. Let i = -14 - t. Let q = -492.2 + 492. Put q, -0.05, i in decreasing order.\nAnswer: -0.05, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjjb when four letters picked without replacement from jjbjjjbj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 896231.1 millennia to centuries.\nAnswer: 8962311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 10*t**2 - 5*t. Let i(u) = -1 + 1 - 3*u + 5*u**2. Let b(a) = -3*f(a) + 5*i(a). Let h(n) = 74*n**2 - 57*n**2 - 16*n**2. Calculate b(h(c)).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 166185 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that d**3\/7 - 2615*d**2\/7 - 1496*d - 10476\/7 = 0.\nAnswer: -2, 2619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -11*z**2 - 18*z + 18. Let m(r) = 2*r**2 + 3*r - 3. Let j(b) = 34*m(b) + 6*v(b). What are the prime factors of j(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = 6*j + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-111)\/222)\/((-80)\/(-2208))?\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/3)\/((-486)\/(-2916)*56\/(-6))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 - 41*r**2 - 41*r - 58. Give c(42).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - -1) + -3 + -3 + -6 + (-48 - -49).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 7.054033cm?\nAnswer: 0.07054033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 + (-8)\/(-12))*-15. Suppose 0 = -j*h + 47 - 7. Calculate the lowest common multiple of h and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**7\/c)\/(c*c**(-13))*c\/(((c\/((c\/c**(-8))\/c))\/c*c)\/c*c)*c**(-2\/11))**(-43) assuming c is positive.\nAnswer: c**(-12212\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l = -2*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k + 1. Let j(x) = 5*x + 4. Calculate 20*b(v) - 5*j(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -535357 rounded to the nearest 1000?\nAnswer: -535000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-60)\/12 + (296 - -1).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*g - 81*g = -91460 - 43573. What are the prime factors of g?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 694, 1395, 2126, 2893, 3702?\n\"Answer: y**3 + 9*y**2 + 667*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 118 or 144?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -321, 5, -4, 3, 1\/69 in decreasing order.\nAnswer: 5, 3, 1\/69, -4, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 192150 and 49410.\nAnswer: 1729350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2231 and 28313?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 60*m + 156. What is the tens digit of d(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (1\/30)\/(301\/35 + -9) and -39\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 79\/2 of a centimeter?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13572959.00031 - -13572902. Let t = h - -57. Round t to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from {e: 2, l: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-318)\/(-60))\/((-2)\/5)*(-16)\/4*-1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2 - 9*t - 14.\nAnswer: -(t + 2)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 2*i - 252, -2 = z - 3*z. Factor -38*y**3 + 42*y**3 + 5*y - i + 195*y - 76*y**2.\nAnswer: 4*(y - 16)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - 16 = -4*i. Suppose 2*p = -m + 7, i*m + p = 7 + 7. Find the first derivative of -25*a**m + 16*a**3 + 11*a**3 + 2 wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1722*a**3 + 1 - 3484*a**3 + 1763*a**3 - 1.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y**3 - 3937812*y**2 + 39378420*y - 98446300 = 0.\nAnswer: -984463, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3641 and 179639658?\nAnswer: 3641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 - 10*l - 3377. Let s be x(-51). Which is smaller: -5466 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 95070, 190147, 285224, 380301, 475378, 570455?\nAnswer: 665532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -219, -855, -1921, -3423, -5367, -7759, -10605?\nAnswer: -13911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + (sqrt(931) + 2 + 4 - sqrt(931)*2*3) + -2)**2 + 3)*5.\nAnswer: -1750*sqrt(19) + 116515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/390 and 31\/47970.\nAnswer: 47970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -2*d**2 - 4*d - 3. Suppose m + 1 + 12 = -5*u, 5*m = -4*u - 2. Let r = 10 + -13. Let q(v) = -2*v**2 - 3*v - 2. Calculate m*w(n) + r*q(n).\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the second derivative of v**3\/3 - v**2\/2 - 154*v. Let u be 2*-1 + (1 - 1). What is q(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24 divided by 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes before 9:44 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -2*d**2 - 32*d + 28. Is i(-15) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97582241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -0.3, 19, 10, -2\/7, 13 in decreasing order.\nAnswer: 19, 13, 10, 0.4, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/87884 and -32\/65913?\nAnswer: 263652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 36952397 - 36971103.1653. Let b = 18613.15 + i. Let l = b + 93. Round l to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.072? (a) 1 (b) 0.5 (c) -1 (d) 0.14 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (-4)\/12 + 3432\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 127*h**2 - 263*h**2 + 146*h**2. Let x(n) = 4*n**2. What is x(r(s))?\nAnswer: 400*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -302*j + 67*j + 2596 = -4219 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13 + 7. Let k(g) = g**2 - 4*g + 2. What is the least common multiple of h and k(6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0589 minus 0.3?\nAnswer: -0.2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 - 4*m**2 + 6*m + 4. Let a be c(-5). Let u = 0.01 - 0.41. What is the closest to a in u, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 95661*a + 753780 wrt a.\nAnswer: 95661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18363 is divided by 409.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 3*k + 2. Suppose 12 = 5*s + k*v - 479, -103 = -s + 2*v. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -610, -778, -948, -1120?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/4*(6 + (-5 - -1)). Which is the closest to -0.2? (a) 3\/5 (b) 2\/3 (c) 0.4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 71? (a) -0.3 (b) 5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(57)\/sqrt(3)*-1 + (2*sqrt(190))\/sqrt(10).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4\/(-10) - 24\/(-110). Let u(s) = s**3 - 5*s**2 + s - 1. Let f be u(5). Suppose 2 = -2*c + f*c. Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-66)\/(66\/2))\/(2\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3036931753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*f**3 - 16 + f**3 - 23*f**3 - 13*f**3 + 8*f**3.\nAnswer: -31*f**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96\/15*((-174)\/(-12) + 3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(2\/7))**(-28))**29 assuming s is positive.\nAnswer: s**(-232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 3*y + 22 = 0, -3*f + y = -2*y - 18. Suppose -4*k + 477 = -5*q, f*k = 2*q + 195 - 3. Let i = -62 - q. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from aiaaaaaiaa.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -147870439 + 147870436.30000019. Let x = -33 + 35.7. Let l = x + h. Round l to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of -4*a**2 + 0*a + 1\/2*a**3 + 0*a**5 + 0 - 1\/120*a**6 + 1\/6*a**4. Let r be (-1)\/(-2) + 5\/(-2). Give x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.06 (b) 7.8 (c) 3 (d) 2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = 5*j - 19, 0 = 4*q - 53*j + 49*j + 24. Put q, -4, 13 in increasing order.\nAnswer: q, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -748987*z**2 - 734618*z wrt z.\nAnswer: -1497974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2934575*f**2*k + 60150699*f**2 + 2*f*k - 4*k wrt k?\nAnswer: -2934575*f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = 4*g - 9*g - 881, -g - 893 = -4*r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.57 plus 120?\nAnswer: 116.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-105)\/(-28) - 1\/(-4). Is s\/16 + 71\/4 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (130\/78)\/(5\/6). Solve -3*x = -q*x + f + 1, x = f - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 26.7 + -25. Let d = 1.79 - i. Which is the closest to -1? (a) d (b) 3\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19, 50, 107, 196, 323, 494?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is (10 - (-84)\/(-7)) + 3979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 + 78\/48*4)\/((-174)\/29). Let m = -50 + -74. Let r be (8\/m)\/(0 + 1). Is r at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 4*o = 53, -6*r + 4*r + 3*o = -7. Sort 2, 3, r in descending order.\nAnswer: r, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u - 88 - 70 - 7*u + 158.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 3*i**2 - 5*i. Let l(q) = -8*q - 20*q**3 + 21*q**3 + 2*q + 4*q**2. Give -3*l(v) + 4*t(v).\nAnswer: -3*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2252 - -234?\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 13 - 12. Let q(d) = -4*d + d + 5*d - d + i. Let s(n) = -15*n - 12. Give -12*q(o) - s(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 67167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -12696252*g**3 - 915714*g**2 + 1?\nAnswer: -76177512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4302)\/342 + (-328)\/779.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes before 10:18 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 34031142022 - 0.1\nAnswer: 34031142021.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -17614 + -0.2689?\nAnswer: -17614.2689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 2\/11, -5, -14101.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -494020 (base 10) in base 16?\nAnswer: -789c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -47844504*w**3 - 14869319 wrt w?\nAnswer: -143533512*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 106830 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(80)*2*3)**2 + -1*sqrt(5)*4 + (sqrt(5) - -1*sqrt(720)))*5.\nAnswer: 270*sqrt(5) + 86400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most 35075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8\/(-20)*(-2 + 2 + -35). Solve 0 = 5*w - 3*a - o, -w - 6 = 2*w + 3*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2687 and 0.28?\nAnswer: -752.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*g - 14*g + 4. Which is the second smallest value? (a) g (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 28 - 30.4. Let y = i - -0.4. Let l = -2.0000015 - y. Round l to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1478.47 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -3*h**3 - 14*h**2 + 5*h + 15. What are the prime factors of a(-6)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2990 divided by -598?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-2 + 1)*-32)\/((-24)\/(-2508)). Suppose -g + 576 = -16*c. Does 57 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 113*v + 1. Determine w(-1).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 9*k - 4. Is p(4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 152*h + 308 = 92*h + 74*h. What is the least common multiple of 0 + (-1 + -23)*-2 and h?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2554 and 50.\nAnswer: 127700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3386711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6154, -19686, -40456, -68458, -103686, -146134, -195796?\nAnswer: -252666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**3 - 63*k**2 - 9*k - 556. Calculate q(-63).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -47170? (a) 0.2 (b) -4\/9 (c) 24.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -11306303, -20 in decreasing order.\nAnswer: 3, -20, -11306303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1593 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 567*n**3 + n**2 - n. What are the prime factors of a(1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(2))*5 + 1 - 6*(sqrt(288)*1)**2 - (1 + ((sqrt(36) + sqrt(36)*-1 + sqrt(36) + sqrt(36) + sqrt(36))\/sqrt(3))\/(sqrt(18)\/sqrt(48))).\nAnswer: -1728 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:23 PM and 2:40 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -7087, -13250, -23527, -37924, -56447?\n\"Answer: -b**3 - 2051*b**2 - 3*b - 5032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u - 2*u - 2*u + 10*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 3*u**4 - 50*u + 48*u + u**3 - 4*u**4 - 2*u**4 + 44 - 45 + 18*u**2 in the form j*u**3 + d + y*u**4 + p*u**2 + b*u and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-4)*(-390 - 4). Let r = c + -100. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 1044*m**3 + 110*m - 3. Let i(s) = -348*s**3 - 37*s + 1. Let p(v) = 11*i(v) + 4*l(v). Find the second derivative of p(j) wrt j.\nAnswer: 2088*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 19 = 3*g - 152, -3*y - 62 = -g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -245*r = 243*r - 45384 for r.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 723 is divided by 146?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from iididddddiiiiiiiiii?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1674 + 1677. Suppose 3*v + 0 = 3. Sort 4, w, v in ascending order.\nAnswer: v, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -33657*x**3 + 20*x**2 - 11*x - 8. Let m be i(-11). Round m to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q + 5. Let z be (-13)\/(351\/(-45))*3. What is y(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*u - 82*u**2 - 91*u**2 - 91*u**2 + 268*u**2 + 2*u.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 778511235 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 589.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6\/(-8))\/((-1)\/12). Suppose -19 = -3*s - n, 4*s - 15 = -n + z. Calculate the remainder when 0 - (-1)\/((-2)\/(-16)) is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7348 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -11*z + 478. Let d(i) = -118*i**2. Calculate c(d(t)).\nAnswer: 1298*t**2 + 478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oy when two letters picked without replacement from xyxxhxgxyxxhoyoyqqxy?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2*t**2 - 11*t + 1. Let u(f) = 32*f - 13701 - 6*f**2 - 13694 + 27392. Calculate -7*j(q) - 2*u(q).\nAnswer: -2*q**2 + 13*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 22.73224cm to meters.\nAnswer: 0.2273224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 2:55 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 381.0513 - 0.0513. Let l = -380.99891 + v. What is l rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from ffgfgvgfvggggggg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3924829023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 112055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.013 + -0.013. Which is the nearest to 0? (a) q (b) -4 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 192*((-6)\/(-15))\/((-8)\/10). Let i = f - -103. Suppose -i*o + 324 = -3*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 421 + 634. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -86 (c) -3 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10, -84, -232, -434?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f - 9 - 7. Suppose -s + 2 = f*y, -y - 8 = 3*s - 7*s. Suppose -s*b = -3*b + 34. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/25803749 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 28*x - 88 + 60 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve o = 2*o - 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j = -0*j - 3*z + 6, z - 6 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 2212000 (base 7) to base 15.\nAnswer: 558d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 159 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*m**2 + 0*m**2 - 2*m**2 + (22 - 5*m - 22)*(0*m + 4*m - 3*m) - 4*m**2 + 14*m**2 + 5*m**2 + 2*m**2 + 3*m - 3*m.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -14, -53, -128, -251, -434?\n\"Answer: -2*n**3 - 6*n**2 - 7*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57142?\nAnswer: 2, 28571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/5, 1.3, 5\/11 in descending order.\nAnswer: 1.3, 3\/5, 5\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t - 2*t + 6*t)*(5 - 5 - t**2)*(5*t**2 - 5*t**2 + t**2).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2534577*k + 41035267 wrt k?\nAnswer: 2534577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-5 - -5) + 2 + (4 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.57 + 4761.852?\nAnswer: 4762.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h. Let o(b) be the second derivative of -748*b**3\/3 - 252*b + 7. Calculate j(o(a)).\nAnswer: -1496*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 258\/(-43)*3\/(-3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 422439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + 22*k - 5*k. Solve -11*t + 18 + 4 = k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -365 and -364 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -2*q - 3*z, 25 = -6*z + z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j = 8*j - o - 28, -5*j + 70 = o. Calculate the remainder when 13803 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (40 - 53) + 43 - 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (16*p**2 - 16*p**2 + 5*p**3)*(4*p + 12*p**2 + 1 - 5*p - 13*p**2).\nAnswer: -5*p**5 - 5*p**4 + 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -21\/20 and (-2)\/(-9)*3 - (-575)\/(-210)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18975 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: In base 4, what is 123 - -1132122003?\nAnswer: 1132122132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 105?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1536.7606898 + 1536.234. Let h = 0.9766835 + d. Let k = -0.45 + h. What is k rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - -22) + (-16 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 247 (b) -2\/7 (c) 3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.06, 4, -2579, -0.28 in decreasing order.\nAnswer: 4, -0.06, -0.28, -2579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0197 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(1\/4))**(-19))**(-13\/2) assuming x is positive.\nAnswer: x**(247\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -36569 - -255985\/7. Which is the closest to -2? (a) -4 (b) -9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 188 and 752?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, 6852, -5\/3, 0.1, -0.6, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 87610375 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 27\/476 and -23\/63070.\nAnswer: 126140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -2*u - 8. Let b(a) = -a**2 + 7*a + 1. What is the smallest common multiple of u and b(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 244*i**2 - i + i - 892*i**2.\nAnswer: -648*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 81*i**2 - 2*i + 45. What is the smallest common multiple of 3 and t(-6)?\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-66)\/(-1)*(-46)\/(-207). Let -8\/3 + x*c**3 - 8*c - 14*c**4 + 10*c**2 = 0. Calculate c.\nAnswer: -2\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4 + (-855)\/20)*4 + -1. Let g = 118 + b. Is -38 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*p + 28*p - v + 6 = 0, -33*p - 285 = -4*v for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -4 + 2 + 4*r - r**2 - 1. Let f be j(3). Suppose -4*i + 4*z - 4 = -f*z, -2*i = 5*z - 26. Is 3 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-8)\/5)\/((-4)\/20). Let h(o) = -o + 11. Let r be h(u). Suppose 150 = -r*j + 8*j. Find the common denominator of j and -29\/17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 7*o + 19. Give x(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -1461670 by 207.\nAnswer: -1461670\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 + 5\/20 - (-235)\/4. Let l = o + -20. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**2 + 12*h + 18. Let u be r(-11). Suppose 0 = 2*b - u*b + 25. Suppose -90 = 4*f - 5*f - b*s, -4*f = 5*s - 405. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 + 53*d**2 - 115*d - 273. Let p be s(-55). Solve 3\/8*x**p - 3\/8*x - 3\/4 = 0 for x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 9 + -13 + 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6164446559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-180)\/14)\/(-5) + (-28)\/49. Let a be (4 - 115\/10)\/((-1)\/f). Solve 2 = x - 2*z + 1, -5*z = -5*x + a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*n - 3*n + 3. Let g be 6 + -1 + (2 - n). Let o = 4 - g. Sort o, -3, 2 in ascending order.\nAnswer: -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**4\/3 + 2*b**3 - 5*b**2\/3.\nAnswer: -b**2*(b - 5)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**0*y)\/y**(1\/2)*(y\/(y*y**(-3\/5)))\/(y*y\/(y*y*y*y**(-1))) assuming y is positive.\nAnswer: y**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 680587 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -4264 (base 7) to base 14.\nAnswer: -7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/22 and -151\/606.\nAnswer: 6666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 10 + 4)*(0*t - 2*t + 4*t)*(4 - 5*t - 4) + (3*t**2 - 3*t**2 - t**2)*(0 + 4 - 9).\nAnswer: -65*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2179298, 2179296, 2179294, 2179292, 2179290, 2179288?\nAnswer: 2179286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -25*l - 529. Let h be k(-20). Sort 5, h, 1 in descending order.\nAnswer: 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-196735)\/(-12397) - (15 + (-3)\/(-3)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1180145688*p**2*y - 44087*p*y + 24*p - y + 2 wrt p.\nAnswer: -2360291376*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -0*r - 2*r + 5*y, -10 = -5*r - 5*y. Let q = -148465 - -148464.96. Put 0.08, q, r in ascending order.\nAnswer: r, q, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -4*j + 3*t, 4*t - 18 = 4*j - t. Let q = 1 - j. Suppose -2*a = -5*h - 20 - 5, -2*h - 1 = a. What is the remainder when a is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**3 - d**2 - d + 4. Let r be y(0). Let p(b) = 2*b + 1. Let j = -1 - -5. Let z be p(j). Solve -r*g - 2 = -3*k - z, g + 3*k = 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13095.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 + r**2 - 42*r + 60. Let n(v) = 2*v**2 + 4*v - 8. What is the least common multiple of d(0) and n(-6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -22341 > -8057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 55663 is divided by 841.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -5*o**3 - o**2. Let d(p) = 2*p + 9. Let m = -48 - -31. Let j = m + 12. Let l be d(j). Give c(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -19 + 2 + (-10 - 0 - (-71 + 18 - -43))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -p**4\/5 - 5308*p**3\/5 - 7086052*p**2\/5 - 112359744*p\/5 - 448084224\/5 = 0.\nAnswer: -2646, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-10)*(-140)\/48*18\/(-42)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/9 - (-112)\/(-18). Let m be (4 + 15\/p)*-10. List the prime factors of (-111)\/(-15) - (-2 - 36\/m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -905\/13, -0.5, -56, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 105039214 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, 71, 2\/7, -0.5033?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the first derivative of 21*d**4\/4 - 202*d**3\/9 + 11*d**2\/2 + 6*d - 79. Find f such that m(f) = 0.\nAnswer: -2\/9, 3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/3 or -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 935 and 3811159?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 2302 (base 8) to base 16\nAnswer: 4c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-111)\/9 + 1)*(-9)\/(-12). What is the nearest to 2\/5 in -0.5, k, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*f - 1 = -37 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34669414?\nAnswer: 2, 13, 19, 70181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of -4806 and 9.47.\nAnswer: -45512.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 57 and 121220?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 5*f**3 - 13*f**2 - 5*f - 1. Let z(j) = -3*j**3 + 7*j**2 + 3*j. Let x(w) = 4*u(w) + 7*z(w). Suppose 2*i = 3*i + 3. Give x(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zlkzllltclkl. What is prob of picking 1 k and 1 t?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of -q**4\/4 - 4*q**3 + 14*q**2 + q - 39. What is the lowest common multiple of l(-14) and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 - 20. Let h(c) = c**2 + 10*c - 13. Let x be h(z). Let b(s) = 3*s**2 + x - 11. Let j(m) = 2*m**2. Calculate j(b(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be 431\/2 - 6\/(-4). Suppose 5*k = g - 37. Suppose -d = -3*d + k. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/(1\/(-1) + 2). Let k(v) be the second derivative of -6*v**3 + v. Does 14 divide k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0, -110 in descending order.\nAnswer: 0, -1, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3096897 + 1399796415\/452. Let f = w + 3\/113. Let h = 1393 + -5527\/4. Find the common denominator of f and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -2*t + 33186273 + 4*t - 33186268. Let v(o) = 3*o + 8. Give 7*l(w) - 5*v(w).\nAnswer: -w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -197\/26 + -90\/13. What is the common denominator of i and -73\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 - -18. Let t = -15 + l. What is the least common multiple of t and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**2 - 8*y + 160. Give l(-20).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 54.68878 nanoseconds?\nAnswer: 0.00005468878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24475 + -14269. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -310 - -310. Solve 5*z = -2*o + 16, -40*z + 42*z - 5*o - 18 = p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 169 + -169.1. Which is the second smallest value? (a) -5\/3 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 + f**2 + f - 2. Let d be k(3). Let u = -14752 + 206623\/14. Find the common denominator of (-2)\/(-4) - d\/20 and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -9*i + 6. Let d be u(2). Let c(q) = q**3 + 11*q**2 - 12*q + 4. Let l be c(d). Suppose 6*g = 4*z + 2*g - 112, -l*z + 67 = 5*g. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3*0.142.\nAnswer: -0.0426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((-2*sqrt(1216) - sqrt(1216)) + 1)*4*-6.\nAnswer: -27 + 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-6)*24\/(-268)*(154\/(-33) - -5)?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of -4*n**3 + 106*n**2 + 72*n - 92. Let q(p) = 12*p**2 - 212*p - 72. Let d(r) = 2*j(r) + 3*q(r). Factor d(y).\nAnswer: 4*(y - 18)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4*(-22)\/(-4))\/(896\/64*(-19)\/(-266))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/45 (b) 2.5 (c) 9 (d) -4 (e) 173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -418894.56 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 938 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and (-15)\/9 + 448\/24.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -2*q + 2, -5*q + 22*y - 21*y = -17. Put 35, q, 5, 6 in decreasing order.\nAnswer: 35, 6, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 42.5 - 75.8. Let x = -33.166 - -0.166. Let g = x - t. Sort -0.3, g, -3, 0.19 in descending order.\nAnswer: g, 0.19, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -5*q**2 + 3*q. Let b(g) = -5*g**2 + 2*g. Let j(p) = -5*b(p) + 4*z(p). Let y be j(-4). Calculate the highest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-12 - -7)\/(0 - -1). Let u = 3 + -2.9. Put u, 2, k in ascending order.\nAnswer: k, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**3 + 3*z**2 + 2*z + 2. Calculate a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1937270597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 60 = 208. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.8 - 2. Let m = -0.047 - -0.347. What is the smallest value in m, k, -0.06?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9 + 16. Suppose s*o = 3*o + 12. Find the third derivative of o*p**2 + 3*p**5 - 3*p**5 + p**6 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -3*l**3 - l**2 - 2. Let i be o(-2). Suppose 22*a - 18*a - 3*w - 85 = 0, 2*w - 85 = -3*a. Solve -a = i*j - 13*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(30)\/(sqrt(10) + sqrt(10) + sqrt(70)\/(sqrt(112) + sqrt(7)) + sqrt(10)) + sqrt(243)*-1*-2).\nAnswer: -879*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/4)\/(15\/90). Let m = h - -17. Suppose b - m - 21 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the second derivative of -v**6\/3 + 172*v**2 + 24*v. What is the first derivative of x(g) wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = -0*q + 175. Suppose 2*h + 3*j = -2, q = -0*h + 3*h - 5*j. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2105\/7949 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3433 - 265 = -86*r for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -70*u - 718. Give g(-5).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/4, -11402, -2\/9, 2, -10 in descending order.\nAnswer: 2, -2\/9, -3\/4, -10, -11402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/4842 and 11\/230264?\nAnswer: 2072376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**4\/3 + 5*j**3\/3 + j**2 - 17*j\/3 + 10\/3.\nAnswer: -(j - 5)*(j - 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 184 and 711800.\nAnswer: 16371400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*c - 4 + 4. Solve c*k = 3*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(224) + sqrt(224)*-1*3)\/(sqrt(1152)*1 + sqrt(1152) + sqrt(1152)) + (((sqrt(70)*2 - sqrt(70) - sqrt(70)) + sqrt(70) + sqrt(70))*-5)\/(sqrt(40)*-1).\nAnswer: 44*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 42864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 32*n - 674 + 930 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxxi when four letters picked without replacement from iixiijtjixjx.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1111 - 110010101110?\nAnswer: -110010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1011842 + -5?\nAnswer: -1011847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wtn when three letters picked without replacement from nuutw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -516*v**2 - 2*v - 394 wrt v.\nAnswer: -1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find p such that p**2\/5 + 26228*p\/5 + 7580751 = 0.\nAnswer: -24693, -1535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -878, -831, -798, -785, -798, -843?\n\"Answer: -g**3 - g**2 + 57*g - 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-357*i + 8*i**2 + 357*i)*((0 - 2 + 1)*(i - 3*i - 5*i) + (0 + 6 - 2)*(-2*i + 0*i + 0*i)).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 208 and 21814.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -449688*-0.069\nAnswer: 31028.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -4*g**3 + 71*g**2 + 13*g. Give o(18).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 108892270 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 340709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 507*d - 1516. Let f be s(3). Factor -5*p**3 + 9*p**2 + 27\/2*p - 27\/2 - 7\/2*p**4 - 1\/2*p**f.\nAnswer: -(p - 1)**2*(p + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (4 + -1) - (-6 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that 5656814800*a - 121096012*a**3 + 3121225*a**2 - 19423315*a**2 + 121111652*a**3 + 5673132535 - 5*a**4 = 0.\nAnswer: -1, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-58)\/3)\/((-102)\/459). Let s = w - 85. Which is the nearest to s? (a) -0.04 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16 - (-9 + 1)) + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-42)\/7*3\/6)\/(-3). Sort 3, -2, -39, l in ascending order.\nAnswer: -39, -2, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11 - -28. What is the units digit of v\/(-1)*2\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -64*z**5 + 6081*z**3 - 4013*z + 15 wrt z.\nAnswer: -1280*z**3 + 36486*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Are -23110\/33 and -700 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w**2 + 25*w + 30 = 0 for w.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = 5*r - 63 - 15, -3*c + 44 = 4*r. Let h be (-4)\/(-14) + (-4)\/r. Suppose h*l + 4 = l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 13785?\nAnswer: 4\/13785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -153 + 153 - 2*z. Let a(l) = -6*l. What is h(a(t))?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 5 + ((-4*sqrt(20))\/sqrt(5) + sqrt(4))\/sqrt(2).\nAnswer: -3*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 469135560.\nAnswer: 2, 3, 5, 3909463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = 2*a + 11*k, -9*a + 5*a + 5*a + 64 + 17 = 17*k for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -446 + 446 - 27*c + 284*c as u + m*c and give m.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36684*p + 4845 = 36701*p. Calculate the remainder when 1072 is divided by p.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 46, -46, -294, -776, -1570, -2754, -4406, -6604?\n\"Answer: -13*l**3 - l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 - 3. Suppose k*x + 4*o = o + 9, -4*x - 28 = -4*o. Is (-176)\/4*1\/x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 8976832 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 3473858*s. Let y(w) = -w. Determine y(a(j)).\nAnswer: -3473858*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 + 111*b**2 - 31*b - b + 31 - 122*b**2. List the prime factors of m(14).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -2 + 3 + sqrt(20) + 2 + sqrt(45) + 0 + 0.\nAnswer: 4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 973 - 974. Which is the second smallest value? (a) -0.3 (b) 0 (c) 4\/7 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 201 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - 2) + -50 + 61 + -3 + -20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -477455, -477454, -477453, -477452, -477451, -477450?\n\"Answer: n - 477456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(25)\/(sqrt(15)\/sqrt(3)))**2 + sqrt(5)) - ((sqrt(105)\/sqrt(3))\/sqrt(7) + (-5 + sqrt(5) + 1 - sqrt(5)))**2) + 0 + 1.\nAnswer: -50 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 16184.\nAnswer: 1\/8092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 101, 299, 677, 1295?\nAnswer: 2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 5*d**3 + 48*d**2 - 23*d - 23. Give v(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be (50810849\/395210)\/((-4)\/(-18)). Let m = l - 15\/79042. Let f = m + -578. Calculate the common denominator of f and -107\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1bb7 + -2f7?\nAnswer: 18c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*(1 - 0) + 45. Let z = 83 - m. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 362266 and 14.\nAnswer: 2535862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2 + a**2 - 2*a**2 - 4 + a**2. Let o be f(3). Put 1, o, -4 in decreasing order.\nAnswer: o, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 29247, 57990, 86235, 113988, 141255, 168042, 194355, 220200?\nAnswer: 245583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = l + 9, -z - z + 5*l + 9 = 0. Suppose -48*t + 4 = -5*g - 51*t, -2*g + 11 = 3*t. Sort g, 7, z in decreasing order.\nAnswer: 7, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002743113 to five decimal places.\nAnswer: 0.00274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 650836 (base 10) to base 6.\nAnswer: 21541044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 44, -4, -88, -208, -364, -556, -784?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + 2 + -3 - (106 + -115).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(54))\/sqrt(2))\/sqrt(9).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, 22, 3, 7 in descending order.\nAnswer: 22, 15, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 28342 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -27.79 + -0.21. Let z = 28 + x. Let q(b) = -b - 9. Let w be q(-8). Put z, 2\/11, w in decreasing order.\nAnswer: 2\/11, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 151390620 divided by -148860\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the first derivative of -v**4\/2 + 4*v**3\/3 + 3. Let d(h) = -h**2. Let y(x) = x. Let t be y(1). Let n(l) = t*o(l) + 6*d(l). Solve n(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23025.\nAnswer: 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60699 is divided by 1319?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 29 (b) -6 (c) 125 (d) -4 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 1.82, 3, 0 in increasing order.\nAnswer: 0, 1.82, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 - 2.7. Let g be (-6)\/36 - 1\/2. Sort -1\/6, v, g in ascending order.\nAnswer: g, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/17, 167, -1\/3294, -3\/2 in ascending order.\nAnswer: -3\/2, -3\/17, -1\/3294, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 3.1, -2, 1\/5, 0.1, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.223 - -4.223. What is the third biggest value in 6, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/5 of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from ccrwrrf?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 158808 and 24?\nAnswer: 158808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 16558 = -963*f - 27740 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -5*s**2 + 5*s - 1. Let p(n) = 9*n**2 - 10*n + 1. Let o(l) = -6*p(l) - 11*v(l). Let b be (1 - 0\/4) + -6. Does 3 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.139, -7663, -4, 1 in increasing order.\nAnswer: -7663, -4, -0.139, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3103 + -4213338.\nAnswer: -4216441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -1142*d + 1390*d = 7192 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add -31290277.592 and 0.5.\nAnswer: -31290277.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (18\/6)\/9*(311202\/(-72))\/(-113)\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 58 - 114. Suppose n - 5 = -4. Is n at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2272, -4573, -6870, -9163, -11452, -13737, -16018?\n\"Answer: 2*r**2 - 2307*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1*1\/(2\/(-18)). Let i = -15 - o. Let s be (-1 - -7)\/(i\/(-4)). Which is the smallest value? (a) -1\/3 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((140\/(-63))\/1)\/(1534\/(-2124)). Find i, given that -32\/13*i - 8\/13*i**5 - 10\/13*i**2 + 8\/13 + w*i**3 + 2\/13*i**4 = 0.\nAnswer: -2, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*h\/(h*h\/(h\/(h*h**2*h)*h))*h*h))**(-15))**(4\/5)*(h**4*h**(2\/5))**(-6) assuming h is positive.\nAnswer: h**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2469305353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-9)*f\/(f\/(f*f**(2\/3)*f)))**(14\/9))**25)**15 assuming f is positive.\nAnswer: f**(-33250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -9000 by 23.\nAnswer: -9000\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 + 19*f**2 - 6*f - 9. Let m be w(9). What is m rounded to the nearest 10?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(-4*sqrt(156) - sqrt(156)) - sqrt(156))\/(sqrt(12) + (sqrt(120) - -4*sqrt(120))\/sqrt(10) - sqrt(12)))**2.\nAnswer: 1573\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:10 PM and 7:21 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m be -385*2\/(-126) - 6. Which is the closest to -3\/4? (a) m (b) -10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.24*171.\nAnswer: 383.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a**3 - 7*a**2 - 27*a + 26. Determine v(-5).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**3\/3 + 60*y**2 + 62*y - 364\/3.\nAnswer: -2*(y - 91)*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 - v + 1. Suppose -6*j = -3*j + 6. Let z(f) = 11*f**2 - 7*f + 7. Let h(g) = j*z(g) + 14*y(g). Let k(p) = 2*p**2. Determine k(h(b)).\nAnswer: 128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 12*p + 18416 = 0. Let q = p + 966. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -792*k**2 + 186*k**2 + 125*k**2 - 1053*k**2 - 421*k**2 + 7*k**2.\nAnswer: -1948*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 12*y**2 + y - 1. Let k(v) = -11*v**2 + 1. Give -7*k(s) - 6*r(s).\nAnswer: 5*s**2 - 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -125888 divided by 62944\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {v: 5, u: 1, w: 1, g: 1, a: 3, i: 2}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**2 - 13*l - 7. Let n be p(-10). Find the first derivative of -8 + n + 1 - 51*z**2 wrt z.\nAnswer: -102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.91842 in 2\/5, 3\/2, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 - 12*w**2 + 33*w - 22. Let x be z(9). Let m(f) = f**2 + 3*f - 26. Let p be m(-7). What is the highest common divisor of p and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0*((-3)\/12)\/1. Suppose 4*k + 5*s - 4 - 10 = t, 2 = -s. Let z(v) = k*v + 3*v - 7*v. Let y(l) = l. Determine y(z(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1160152, -1158508, -1156864?\nAnswer: -1155220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2495883, -4991773, -7487663, -9983553, -12479443?\n\"Answer: -2495890*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 66*w - 16. Let k be t(2). Suppose -4*d + 134 = 2*h - k, 200 = 3*d - h. Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 6*n**3 - 4*n**2 + 16*n + 1. Let t(k) = -k**3 - 3*k - 1. Let h(p) = d(p) + 5*t(p). Suppose f + q = 4*q, f = q + 2. Calculate h(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gmpl when four letters picked without replacement from {p: 4, m: 1, s: 4, l: 1, g: 7}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21659122 to the nearest integer?\nAnswer: 4654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + -64178342?\nAnswer: -64178344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + -1 - (-28 + 5 + 15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1)\/(l**6*l*l))\/((l**(-5)\/l*l)\/(l*l*l**(-5\/3)*l)) assuming l is positive.\nAnswer: l**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -441*q - 435*q + 1307*q - 436*q - 13 = 4*h, 0 = 3*q - 4*h + 27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 5627, 4990, 4353, 3716?\n\"Answer: -637*h + 6264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.93 + 0.07. Which is the second smallest value? (a) 2\/13 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 5*j**2 - 3*j + 7. Let f be d(4). What is the highest common factor of 50 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1128\/19 (b) -0.11 (c) -54 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -s + 2*c + 48, -4*s = s + 3*c - 279. What is the remainder when 267 is divided by s?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 670276101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 + 0.107617736373443.\nAnswer: 0.007617736373443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**3 + 2*l**2 - 2*l + 2. Let h(r) = 3*r**3 - 10*r**2 - 10. Let a(k) = 3*k**3 - 11*k**2 - k - 11. Let u(y) = -5*a(y) + 6*h(y). Give 5*j(c) + 2*u(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 20 times -222422.6?\nAnswer: -4448452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be (13\/(-26))\/((-14)\/8). Suppose -5*k - 19 + 4 = 0. Put w, -6\/7, k in decreasing order.\nAnswer: w, -6\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -180 + 209. Let l = m + -7. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 - 2. Suppose -4*a + 0*i = 2*i - b, -4*a + i = -16. Let x be (30\/(-45))\/((-1)\/3). Which is bigger: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -200 times 5?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/64 and 11\/219562.\nAnswer: 7025984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -676*d**3*p**2 + d**2*p**2 - 11*d**2*p - 14*p**2 wrt d?\nAnswer: -4056*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 52, 88, 124?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (7 - 5 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -227 - -231. Suppose -a*m - 1572 = 48. What is m rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4*(1 - ((-18)\/9)\/(-4)). Solve 0 = -k*i + 2*t - 12, 5*t - 24 = 2*i - 0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39 divided by 400.\nAnswer: 39\/400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 645546 + 26434?\nAnswer: 1005313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7379, 8905, 10431, 11957, 13483, 15009?\nAnswer: 16535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(3\/5))**(1\/62)\/(z**(-10)*((z*z*z*z**(-1))\/z)\/z) assuming z is positive.\nAnswer: z**(3103\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -713 - -2013. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21573930?\nAnswer: 2, 3, 5, 7, 19, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/10 and 2\/(-6) + (-55)\/(-24)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -2*b**2 - 300*b - 6957. Calculate g(-121).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = m - 16. Let l be (1 + -1)\/((-4)\/m*2). Suppose -4*p + 8*p - 4036 = l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 2*sqrt(68)*3*5 + 5.\nAnswer: 1 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/14 - 96\/(-189). Let v = -60.3 - -58.3. Which is the third biggest value? (a) 0.1 (b) v (c) s (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 88023441 by 4.\nAnswer: 88023441\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of (7105\/(-2))\/(-7)*(-16)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 648 = -65*g + 227*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*q - 5*x + 15 - 5, -q - 2*x + 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i - 2 + 3*i - 4*i. Let n(r) = r**2 - 7*r + 4. Let p be n(5). Determine j(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -14 + 16. Solve -2*g = 6, 3*y + i*g - 6 = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -20009 + 2481021\/124. What is the common denominator of -55\/1426 and s?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 747635, 747636, 747637?\nAnswer: 747638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -14*22\/2310*135\/(-120)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 395246 and 14774?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-3 - 0)*(2 - 40\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5861784 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1780 divided by -5\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**2 - 15*k - 49. Let w be a(17). Suppose 2*v + 2*v = 220. List the prime factors of v\/2 - w\/(-10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 102 and 20531733.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let f = 614 + -384. Calculate the greatest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -33.8 - 0.2. Let h = -7821061.99953 + 7821028. Let o = v - h. What is o rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 344 = 17*t - 60*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87*j = -84*j - 2343. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (34\/(-3))\/(52\/(-78)). Let b(t) = -7*t - 3. Let o(z) = -20*z - 8. What is x*b(n) - 6*o(n)?\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/15 + 0)\/((-499)\/4491). What is the nearest to v in -0.5, -5, 38\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -63\/2 smaller than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -61.135 + 0.135. Let k = 65.1 + u. Round k to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be 70\/49 - (-12)\/21. Let x = -2 - -4. Suppose x*h = 5*i, -3*i - 5*h + 24 = -7. Solve -w*o - i*a = 0, -4*a + 1 = -o + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 130*p = 135*p + 30. Let a(v) = 3*v**3 - 3*v**2 + 3*v + 3. Let s(r) = 32*r**3 - 34*r**2 + 34*r + 34. Determine p*s(z) + 68*a(z).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-4 + sqrt(980) + sqrt(980) + -2 - sqrt(980)) + sqrt(980).\nAnswer: -11 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5)\/4*228\/(-190). Factor -1 - 1\/2*u**2 - k*u.\nAnswer: -(u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 8:04 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-7)\/k*k**(-19)*k assuming k is positive.\nAnswer: k**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -7*n**2 - n - 1. Calculate l(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange i**2 + 6*i**2 - 4*i**2 - 3*i - i**2 - 2*i**3 - 3*i**4 to the form p + z*i**3 + k*i + o*i**4 + v*i**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 181, -11, 3, 2, 5 in increasing order.\nAnswer: -11, 2, 3, 5, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 63067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**2. Let h(w) = -6*w**2 - 11*w**2 + 9*w**2 - 14*w**2. Determine s(h(n)).\nAnswer: -484*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 637 and 392?\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 22 and 188177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - ((-16 - -13) + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 5*t**3 + 17*t**2 + 10*t + 65. Give g(-8).\nAnswer: -1487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * -13880988.\nAnswer: -27761976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 238054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the first derivative of a**6\/69 - 4*a**5\/115 + a**4\/46 + 67. Factor f(p).\nAnswer: 2*p**3*(p - 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 123 - 120. What is the closest to 110 in 5\/6, 1, -1\/8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 41 = 2*t + 5*s, 4*t = 2*s + 70. Calculate the remainder when 77 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 20498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -s = -3 + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 235 a factor of 4876485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 - 4*f**2 + 4*f - 2. Suppose -3*p + 24 = p. Let r(t) = -3*t**2. Let k be r(-1). Let h = p + k. Give n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1214444277.\nAnswer: 3, 131, 191, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 285 times -1228589?\nAnswer: -350147865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**3 - 8*k**2 - 8*k - 13. Let i be z(-9). Let h = i - 1258\/9. Which is the smallest value? (a) 3\/4 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**3 - 229*g**2 + 9331*g - 561. Determine y(176).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + y**2)*(-y**3 + 2*y**2 - 2*y**2) + (-7*y**3 + 6*y**3 + 39*y**3)*(-y**2 - 3*y - 2*y**2 + 5*y).\nAnswer: -115*y**5 + 76*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 12274 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -6 - -226?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*n**3 - 27*n + 1 - 19*n**3 - 2*n**2 + 78*n - 53*n to g*n**2 + z*n**3 + y*n + w and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.055 - -54499.515.\nAnswer: 54499.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -74 + 0*q + 181 + 2*q - 87 to c*q + o and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5178468 - 1?\nAnswer: 5178467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 2 e when four letters picked without replacement from zezeooozozzzeze?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5450466710?\nAnswer: 2, 5, 13, 1523, 27529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2a (base 11) in base 3?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*3*sqrt(1800) - (sqrt(108)\/(sqrt(54) - sqrt(6)) + (sqrt(180)*2)\/sqrt(10)))**2.\nAnswer: 783225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p + 4*p - 105. Suppose -7*r + 432 = -303. What is the greatest common divisor of r and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 7901*22236\nAnswer: 175686636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * -20.8.\nAnswer: -83.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15040 is divided by 367.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -20742890 less than or equal to 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + r - 2, w + 0 = 2*r - 6. Suppose c + 4 = 4*a - w, -c + 3*a = 2. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 - 2)*((-98 - 99 + 189 - 9*b**2)*(-1 + 3*b + 1) + (-5*b**2 + 5 - 5)*(b + 0*b + 2*b)).\nAnswer: 84*b**3 + 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-36)\/(-192))\/((-7)\/14)*24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2545 - -13586. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -389 + 439. Calculate the least common multiple of 12 and 2120\/t - 4\/10.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxtttttxt. Give prob of sequence xttt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 1205749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -2*i**3 + 3*i**2 + 14*i + 13. What is the smallest common multiple of 1002 and b(-1)?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 328981905?\nAnswer: 3, 5, 7, 47, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19*b - 4*b + b + 5785*b**2 + 0*b + 20*b to the form s*b**2 + z*b + q and give s.\nAnswer: 5785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of 8117.7 and 0.01053.\nAnswer: 85.479381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -0.5 (c) -84 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -85, 1, 2 in ascending order.\nAnswer: -85, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000048855 rounded to six decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**3 - 16*u**2 - 19*u - 7. Let m be w(18). Suppose -o - m = -n, 3 = -2*o - 1. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (q - q + 2*q)*(q**2 - 3 + 3)*(4 - 4 - 23*q).\nAnswer: -46*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {m: 1, g: 4, l: 8, j: 5}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -80, -297, -648, -1127, -1728?\n\"Answer: h**3 - 73*h**2 - 5*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -275 = 4*a + a. Let d(q) = 2*q + 6. Let o be d(-4). Let w be o - (-1 + a*1). Calculate the greatest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 4*n = 102662641, -4*n + 20532533 = 4*l - 3*l. Let z = 19767471 + l. Round z to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 4*d**2 - 18*d + 13. Give t(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -122183343, -244366683, -366550023?\n\"Answer: -122183340*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 26 and 2719193.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - x - 23, 3*j - 47 = x - 2*x. Suppose -2*u + 4*r = 8*r - 14, -3*r = 3*u - 18. Calculate the remainder when j is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/1837 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -3*i**2 - 36*i - 18. Let l(o) = -o**2 - 10*o - 5. Let b(v) = 18*l(v) - 5*t(v). Let z = -2 - -5. Let n(h) = 4*h - z*h + 0*h. Determine n(b(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**0\/b)**34*b**6\/b**(-4\/7))**(3\/7) assuming b is positive.\nAnswer: b**(-576\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-2)*(-4)\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 3 - 5 + 6*f + 4. Calculate the remainder when u(4) is divided by 58\/4 + (-3)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:39 PM and 2:02 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 + 19*v**2 - 19*v + 29. Let a = 27 - 25. Suppose 2*j - 28 = -a*n, -3*n - 14 = -4*n + 2*j. Is w(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 56? (a) -4 (b) -3\/8 (c) 1\/3 (d) -6 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 320 divide 147036022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = 4*l + l + 2*u, -l + 5*u = -22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -567*h + 1248 - 1203 + 5058 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 316 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -32 + 50 = 9*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -8602 smaller than -8602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -111\/3517 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 263524507 to the power of 1\/2, to the nearest integer?\nAnswer: 16233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5254 - 5284 = 3*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 - 2*r**2 + 3*r + 3. Suppose x = -s - 0 - 7, 3*x + 12 = 0. Let n be w(s). Let p(v) = v**2 + 5*v + 6. Let c be p(-4). Solve -4 - c = n*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5, -1\/4, 1413\/62, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + 1\/1 + -1. Let j(t) = -t**3 + 8*t**2 - 8*t + 9. Let c be j(7). Suppose c*a = 8*a - 54. Solve g = -o - 2*o + a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 37089*0.2.\nAnswer: 7417.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3085 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**3 + 149*b**2 - 432*b - 30. Give r(146).\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1756 - -1832.1. Let x = k - 12.1. Let q = x + -63. What is the nearest to q in 2\/7, 2, 2\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, q: 1, f: 5, w: 1, h: 1, i: 1}. Give prob of picking 1 f and 1 i.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: 1572 times -0.0116551\nAnswer: -18.3218172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**3 - d**2 - 4. Let h be c(2). Suppose -10*v + 3*v + 371 = h. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -4*i + 26, -2 = -2*i + r + 6. Suppose -5*m + 9 = 2*q, i*q - 11 = q - 3*m. Suppose 4*l - 22 = q*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -9*m. Let v(c) be the third derivative of -13*c**5\/60 - 6*c**2. What is v(k(p))?\nAnswer: -1053*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 993172064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -39 - -21. Let x(b) = -2*b**3 + 7*b**2 - b + 4. Calculate the lowest common multiple of (-2)\/(-3) + (-96)\/m and x(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*i - 33*i - 60 = -92*i. Sort -15, i, 3, 1, 14 in increasing order.\nAnswer: -15, 1, 3, i, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 75*l*r**3 + 9558*l*r + 176*l + 90*r**3 + 389*r**2 wrt r.\nAnswer: 450*l*r + 540*r + 778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9 + -6. Suppose 2*d = 2*n + 16, 0 = d + 3*d + n - 52. Suppose 3*o = c - d, w*o - 5 = -4*c + 13. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 84, 264, 436, 600, 756?\n\"Answer: -4*w**2 + 192*w - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1180)\/75 - 0) + (-48 - -64).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2 and 21318600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2065)\/(-295))\/((-5)\/(60\/(-3)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 115 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -122 + 126. Suppose -139996 = 3*p - 5*p - 2*s, 2*s - 279996 = -x*p. Round p to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(70)*-5)\/(sqrt(90) - (sqrt(90) - (sqrt(90) + 2*sqrt(90))) - sqrt(90)).\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find s such that 85*s**3 + 90*s**2 - 165*s - 10 = 0.\nAnswer: -2, -1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 204 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -56 - 40?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes after 12:38 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 32034170 (base 8) to base 13.\nAnswer: 1551b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3.92 - 3.99. Let b = 70.53 + -73.6. Let f = d - b. What is the nearest to -4\/5 in f, -3\/5, -2\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1096282 at least as big as 1096394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.08 from -4.15.\nAnswer: -4.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ggaahggh. Give prob of sequence aga.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -21 divided by 448?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 700 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 6) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 27631357*y**3 + 643*y**2 + y + 28.\nAnswer: 165788142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1142447, -2284894, -3427341, -4569788, -5712235, -6854682?\n\"Answer: -1142447*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(25\/(-2)))\/(6\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -43 + 42.9983. What is k rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 - -20 - (-10 - -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -13304 (base 6) to base 2\nAnswer: -100000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 421729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 AM and 9:13 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(45) + (sqrt(45) + -1 + sqrt(45))*1 + -1)*2)**2.\nAnswer: -144*sqrt(5) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -28*f**4*w - 18*f**4 - 3*f**3*w + 7*f**2*w - 1994*f**2 + 3*f*w - 1 wrt f.\nAnswer: -672*f*w - 432*f - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20 and 124820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 589.7866 microseconds?\nAnswer: 589786.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 272050139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 47*z - 10*z - 33*z to w + y*z and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 135*w + 1628 = 548. Sort 0, 3, -3, 52, w.\nAnswer: w, -3, 0, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -38 + 24353?\nAnswer: 24315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i**3 - i**3 + 0*i**3)*(3 + 1 - 2 + ((-3 - 5 + 4)*(-1 + 4 + 0) - 3 + 1 + 0)*(-3 + 0 + 5)).\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -16\/5763?\nAnswer: -16\/5763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 405985 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1046 from 1017.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 15 + -7. Let k = 17 - z. Suppose 39 + k = 5*y + l, 0 = -2*l + 6. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2671\/3 - -900. Let p = 25\/3 - o. Let j = 18 + -15. Which is the third biggest value? (a) j (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1147 divided by -9\nAnswer: -1147\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r - 105 - 57. Suppose r = 4*x - 10. What is the remainder when (93\/(-9))\/(3\/(-9)) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 0) + (-16 - -9 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - d = -15, 0 = 9*b + d - 3*d - 8. Solve -4*j - 5*c = -15, 0 = -j - b*c + 57 - 51 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.5 (b) -20 (c) -4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-1)\/7)\/((-6)\/(-7)))\/1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (15\/(-6))\/(-5)*-2. Let i = 3 - 1. What is the remainder when ((-2)\/(-1) + -9)*m is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1335554 is divided by 5040.\nAnswer: 4994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * -18.7.\nAnswer: 93.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -11173579 or -11173583?\nAnswer: -11173579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11489*c**2 + 158508*c - 79255*c - 79251*c to the form h*c + u + l*c**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -5*s**2 - 3*s + 30. Let z(c) = 5*c**2 + 2*c - 30. Give -2*k(y) - 3*z(y).\nAnswer: -5*y**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 231247?\nAnswer: 71, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2050.81239 rounded to zero decimal places?\nAnswer: -2051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1 and 6155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 34 = -a + 105, 46 = -2*q + 4*a. Let b = -11 - q. Let f be 7\/b + (0 - 1). Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q - 5*z - 11 = 0, -5*z + 118 = -2*q + 94 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1709 in 5, 1012\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p = x - 20, 0 = 4*p - 3*x - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/54*-12 + (-81 - -6)\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 163647*x**2 + x**3 - 2*x**3 - 163647*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1571 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -6*m - 486. Let g = 111 + m. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -928 = -14*o + 122. Solve -i - o + 74 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 28 and 154?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 0. Let k = 1.3 + -0.2. Let f = y - k. What is the third biggest value in 4, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*n**2 + 10*n**2 + 5*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -68 + 81 + 0 + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1475489 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 65172 and 143508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 301740 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -4*(9*1)\/(37\/((-666)\/72))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 55*n. Let c(g) = 2*g + 62105. Determine c(b(o)).\nAnswer: 110*o + 62105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sum 790.8853 and -78.\nAnswer: 712.8853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 21*u - 1. Let f be t(2). What is the second derivative of -1 + 16*q**2 + 12*q - 14*q - f*q**2 + 4*q wrt q?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -130341 - 5515?\nAnswer: -140300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 58 - 208. Let x = r + 150.5. What is the smallest value in -2, x, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 25*v**2 + v + 2. Let p be f(-3). Let m(s) = -12*s**2 + 35*s - 109. Let l be m(3). Let g = p + l. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 3*g = -v - 287, 5*v = 5*g - 275. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/5)\/((-4)\/(8\/(-36)*-27))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.972 - 71296.\nAnswer: -71293.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 0*x + 4*u = 10, 2*u = 8. List the prime factors of 2\/1 + (-10)\/x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**2 + o + 1. Let g(n) = 430*n**2 - 258*n - 258. Determine -g(j) - 258*h(j).\nAnswer: -172*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 83\/92 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 864128, 1728257, 2592386, 3456515, 4320644?\n\"Answer: 864129*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 3:59 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 439663590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-7)\/(-196))\/((-178)\/(-1648)*-1). Let x = -772 + 68704\/89. Let i = x - b. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + 12. Suppose 22 = 4*d + 5*a, -2*d - 4 = -3*d - 2*a. Let x = n - d. Solve 2*s - 7*s - x = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3d - -3ad46?\nAnswer: 3ad85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 52 + -4 - (-23 + 11 + 13 + 2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -16.8 and -168?\nAnswer: 2822.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iui when three letters picked without replacement from iiuuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 12\/1*4\/(-6)*-41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5\/3? (a) -1.117 (b) -2\/3 (c) -525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, j: 17}. What is prob of sequence gj?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 88020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1*-8*(-1)\/(-1). Let j(x) be the first derivative of -4*x**2 + 4*x + 1\/4*x**4 + 11 + 7\/3*x**3. Calculate j(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4326, -5, -1.18 in descending order.\nAnswer: 4326, -1.18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 1130*p + 5654. Determine o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1192 + -868. What is the greatest common divisor of 567 and n?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(5\/(((-1045)\/2)\/(-19))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {y: 3, j: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -2*c**2 + 545*c**3 + 13 + 386*c**3 - c**4 - 24*c - 932*c**3 in the form a*c**2 + k*c**3 + b*c + u + n*c**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lylyp. What is prob of sequence ypy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -207444557, -207444558, -207444559, -207444560?\nAnswer: -207444561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 7448 = -205*d + 597*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the third derivative of p**5\/30 + p**4\/24 + p**3\/3 - 14*p**2. Let d be o(0). Suppose -d*j = -6*j + 220. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2881, 3546, 4209, 4870, 5529, 6186, 6841?\nAnswer: 7494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1 + 5\/((-25)\/(-755))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-9) + 0 + (-46)\/6. Suppose -65 = -4*r - 0*r - 5*k, -27 = -2*r + 3*k. Let m be 31\/(-5) - (-3)\/r. Which is bigger: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 66531 and -4757247.34?\nAnswer: 4823778.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2.2 - -1.8. Which is the smallest value? (a) -1\/9 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 181, -596, -5 in decreasing order.\nAnswer: 181, -5, -596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 2, v: 5, s: 1, x: 1, n: 3}. What is prob of sequence nasv?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -6426 = 25*t + 534*t - 100*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5048 in -4, 71, 0, -0.2?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 - 1\/(3 - 4). Suppose p*g = -0*g + 9. Let q be 4\/(-6) - (-8)\/3. Is g not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(64))\/(sqrt(8) - sqrt(800)*1).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 3*y + 12 = 0. Let i(l) = 4*l**2 + 6. Let c(t) = 1. Let f(z) = y*c(z) - i(z). Let o(r) = -r**2. What is o(f(v))?\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 2886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*k**3 + 11*k**3 - 112*k**3 - 49*k**3.\nAnswer: -188*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5245, -10639, -16007, -21337, -26617, -31835, -36979, -42037?\nAnswer: -46997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 7*z**4 + 15*z**3 - 49*z**2 + 33*z - 3. Let b(i) = 4*i**4 + 16*i**3 - 48*i**2 + 32*i - 2. Let v(n) = 3*b(n) - 2*g(n). Solve v(m) = 0 for m.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1308397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/7 - -4412*(-55)\/(-308). Let s = -788 + u. Solve -3*p + 6*h - h + 12 = 0, s = -3*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/23 (b) -4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -59 - -64. Suppose 338 = -y*d + 13. Let l = d + 148. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 2 = -7. Let k(l) = -2*l**2 - 33*l - 148. Let y be k(-11). Let g be ((-1)\/(-3))\/(o\/y*3). Solve g = b - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -98 (c) 5 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0014269169 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(55)\/(sqrt(5)*-2))**2*6 - (3*1*sqrt(176) + sqrt(176))**2*-3.\nAnswer: 9042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3336 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 23167237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1253*r - 4*r**3 + 1253*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -2*i + 6, -2*j - 8 = 5*i + 2*j. Suppose 8*g - 3*g - 2035 = i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1960\/(-2205)*(((-30)\/4)\/(-5))\/(-14).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + 3. Suppose 5*t = 0, 3*t + 19 - i = 4*x. Calculate the least common multiple of 1 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 8154145*n**3 - 64 - 8154153*n**3 + 3*n + 66. Suppose -2*c - 5*y = 7, 0*y - 8 = 3*c + 5*y. Give z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of u**6 - 18082*u**5 + 947*u**2 + 2*u + 8.\nAnswer: 120*u**3 - 1084920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 609a - 0?\nAnswer: 609a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1184501 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -430 (base 5) in base 14?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 32 - 5. Let m = -10 + 24. Calculate the remainder when q is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*s + 128*s - 25*s - 15*s - 61*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -3*m + 2. Let a be 3*(-1 + (-8)\/(-3)). Suppose 0 = 3*t - 7*t - 5*x + 23, a*t = 3*x + 1. Calculate the remainder when m is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 130 (base 8) to base 2.\nAnswer: 1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2760406301 rounded to 3 dps?\nAnswer: 1.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1977463229 to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 26960857 > 26960846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k**7\/k))\/k*k)**(-22\/9)\/(k*k**(10\/11)*k*k\/(k\/((k**(-2\/19)*k)\/k))) assuming k is positive.\nAnswer: k**(17716\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10350*d*m**2*y**2 - 21*d*m**2 + 20*m**2*y**2 - 2*m**2*y - 2*m*y - 176*m - 6*y wrt d.\nAnswer: 10350*m**2*y**2 - 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000060245 to seven dps.\nAnswer: -0.0000602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -4*((sqrt(400)\/(sqrt(10) + (sqrt(40)\/sqrt(4) - sqrt(10))) + sqrt(40))\/sqrt(8) + 0 + (sqrt(320)*-1)**2).\nAnswer: -1280 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 626906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/10 + 22\/(-5). Let s(o) = 14*o**2. Let i(x) = 5*x**2. Let n(c) = 7*i(c) - 2*s(c). Let f(q) = 8*q**2. Give k*n(l) + 4*f(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract 7939120 from 9194.\nAnswer: -7929926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 7298699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**3 - 4*h**2 - 2*h - 2. Let y = 1126 + -573. Suppose -4*u = -541 + y. Determine v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 640593440?\nAnswer: 2, 5, 4003709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 22 - -40. Suppose 4*z + p = -142. Let d = z - -106. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 + -70 + 97 + (7 - 33).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 106982264 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4806, 9610, 14396, 19158, 23890, 28586?\nAnswer: 33240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -38706.95 times 0.6\nAnswer: -23224.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49401.\nAnswer: 3, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 0.8. Let b = 0.8 - c. What is the nearest to b in 3, 5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 76\/153 and -20\/867.\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 9*i. What is the tens digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from utkuktutututkuuu. Give prob of picking 2 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6\/49 + -361\/147. Let a = 4777\/2202 - 1\/367. Calculate the common denominator of b and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 116 - -12. Suppose 5*k = -5, -6*k + 2*k = -2*o + i. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 2*p**2. Let o(n) = 2*n**2 - 1086. Give j(o(d)).\nAnswer: 8*d**4 - 8688*d**2 + 2358792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -6157527 greater than or equal to 2\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is ((-99)\/(-12))\/((-8)\/(3584\/168))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3 - 5 - (-3 - 1). Suppose -s*i - 5880000 = i. Round i to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -9*i + 796 - 19. What is the lowest common multiple of i and 5984?\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -792 = -4*p + 5*k - 9*k, -196 = -p - 2*k. Which is smaller: p or 2188\/11?\nAnswer: 2188\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 2, -1, 3, 4, 8\/22957?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 112117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:55 AM and 9:57 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x + 7. Let o be v(-4). Suppose 4*h - 13 = o*l, -2*h = -l - l - 8. What is the remainder when 7*5\/10*8\/14 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 26856634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(136) + -1*(sqrt(136)*1 - sqrt(136))))\/((sqrt(96)\/sqrt(2))\/sqrt(6)*5).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.161 - 1.309. Let j = 1.97 + w. Let c be 4\/14 - (-184)\/(-252). What is the nearest to -7 in j, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (5 - 3) - -1 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*c = 11*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {e: 9, h: 1, r: 4, g: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.01 times 0.41516\nAnswer: 0.0041516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.08074 + 4332.91926. Let z = g - 4333.3739. Round z to 2 decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by -15087.\nAnswer: -7\/15087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 + 193*p**2 + 2167*p - 888. Calculate z(-181).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the second derivative of 0*g**3 + 0 - 55\/2*g**2 + 9*g + 2\/3*g**4. Find the first derivative of c(x) wrt x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -16*q - 201. Give c(-16).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 245 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 0.4+155.54\nAnswer: 155.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/138 and -13\/27.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3, -186, -703, -1710, -3369?\nAnswer: -5842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 60 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -495 in 10, -1\/3189, 1?\nAnswer: -1\/3189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-7 + -3 + -21 - -7) + 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -9.7 - -10. Let x = -0.2 + 0.1. Let q = x + 0. What is the nearest to q in -0.2, c, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00238665122 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j\/(j\/((j\/(j\/j**(-5\/2)))\/j)*j)*j)\/((j*j\/(j\/j**(2\/29))*j)\/j*j*j*j)*j\/j**(-6)*j**(2\/5))**48 assuming j is positive.\nAnswer: j**(5784\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, v: 4, g: 3, f: 2, x: 6}. What is prob of sequence vgc?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -x**2 - 3*x**2 + x + 2*x**2 - 3*x**2 + 4*x**2 - 5*x**2 + (2*x - 3 + 3)*(2*x + 3*x - 7*x) as f + k*x**2 + p*x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -3.5117122 rounded to three decimal places?\nAnswer: -3.512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be (340\/60 - -4) + 24\/(-9). Let u(v) = -3*v + 36. Give u(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 20\/219207 and -113\/6426.\nAnswer: 469541394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2*b + 2)*(-4*b**2 - b**4 + 4*b**2) + b**5 + 2*b**5 - 2*b**5 + 4*b**5 + 8 - 8.\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14*u**5 + u**4 + 186*u**2.\nAnswer: -840*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**3)**(2\/13)\/(w**(2\/13)\/w*w*w**8) assuming w is positive.\nAnswer: w**(-100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -7947.009 times -1?\nAnswer: 7947.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sxtppmspsps. Give prob of sequence tmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - (-20)\/11) + 8\/44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2141?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0002942 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.05502? (a) 2\/11 (b) -6\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*s - 23*s = 3*l + 86535, -5*s + 2*l = -144249. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -5 and 187.59529.\nAnswer: 182.59529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) -11 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 56049 or 280244\/5?\nAnswer: 56049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1612651081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 41801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 13*y + 14*y + 3 - 25*y - y**2. Let w = 39 - -15. Let k be 36\/w - (-32)\/6. Calculate a(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (252\/(-56))\/(1\/2*-3). Solve x*v = -v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*h + 3*q, 5*h + 48*q = 47*q + 31. Let g(w) = 7 + 3*w**2 + 0*w**2 - w**2 + 3*w - 3*w**2. What is g(h)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1008640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-5)*p)\/p**3)**50*(p**(1\/3))**(-12)\/(((p**6*p)\/p)\/p*p**(3\/4)) assuming p is positive.\nAnswer: p**(-1439\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor d**3\/2 - 2158*d**2 - d\/2 + 2158.\nAnswer: (d - 4316)*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1216) + sqrt(1216) + 1)*4.\nAnswer: 4 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61*q + 56 = -57*q. Let k be -1641*((-5)\/105 - 4\/q). Let g = 781 - k. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 8, c: 2, z: 4}. What is prob of picking 1 z and 1 c?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 7*m + 25 = 0, 0 = -j - 5*m - 39. Suppose -3*q + 37 + 26 = 0. Is (-4)\/j - (-687)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 14) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 589 - -1. Let a = -588 + f. Let 13\/2*z**a - 5*z + 0 + 3\/2*z**3 = 0. Calculate z.\nAnswer: -5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -108075853, -108075860, -108075869, -108075880?\nAnswer: -108075893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000004429 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 59 = 47. Suppose 0 = -5*z + 3*b + 16, p*b = -4*z - 0*b. Solve r + z*r + 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4314.733 days in milliseconds?\nAnswer: 372792931200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6 or -443\/97?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does -0.07 = -0.073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3 and 1551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1346 - -3435. Let f be (-3)\/(4 - 1) - -3. Suppose f*j - 1398 = -2*y, -j + 4*j + y = b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.0557 times 8\nAnswer: -0.4456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 61 = -2*v + 2*c, 0 = -5*v - 2*c + 196. Let a = v - 36. Solve 4 = 3*n - a*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from ibbbbbbbibbbbibbbii?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 21876? (a) -2\/5 (b) 0.2 (c) 696 (d) -5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*y**5 - 4*y**5 - 2*y**5 + (9 + 6 - 6)*(-13*y**5 + y**5 + 8*y**5) + 0*y**5 - y**5 + 0*y**5.\nAnswer: -39*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 1, o: 4, u: 2, y: 6, j: 2, w: 2}. Give prob of picking 3 y and 1 w.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -632.\nAnswer: 5\/632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p + 3*l = 11, 2*p + 5*l = l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.2, 3, -0.089?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 68759.58 millilitres to litres.\nAnswer: 68.75958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 80*b**2 - 5*b - 6. Let s be g(-2). What is the greatest common divisor of 36 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 36*q - 142. Let c be g(4). Suppose 0 = -4*x + c*x + 252. Does 42 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 531.639 millilitres to litres.\nAnswer: 0.531639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8338 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose x**3\/7 - 5622*x**2\/7 + 399375*x\/7 + 1248750\/7 = 0. What is x?\nAnswer: -3, 75, 5550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3\/7, 1, -3\/5, -4, -2\/5, -5, -4.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 202734 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from onxoo. What is prob of sequence ooo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -35 - 7. Let m(z) = -z**3 - z**2 + 6*z + 18. Let l be m(-10). Let o = l + -1801\/2. Which is greater: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 48+2178734.84\nAnswer: 2178782.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 times -3132925?\nAnswer: -31329.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 2700 divide 3337797078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 228024333 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3003303924 to the nearest integer?\nAnswer: 54802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 970*x - 17. Let k(n) = -n**2 + 8*n - 5. Let i be k(7). Let z be l(i). Let u = -664 + z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31809160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 27180 and 81540.\nAnswer: 81540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10493 - -17663. Round p to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 5, o: 9}. Give prob of picking 3 m and 1 o.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/14 - 154\/(-49). Let l be (-6 + x)\/((-3423)\/14). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 728635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvh when three letters picked without replacement from vvvvvvvvvvvhhhv?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*d + 352 = -7*d + 112 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is f in 3*f**3 - 7722*f**2 + 4976820*f - 9922776 = 0?\nAnswer: 2, 1286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 121 + 1 + 13521 + -13600\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -433825, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1965 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 19*k**2 - 94*k - 35. Calculate a(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4136 + 2a?\nAnswer: -410b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.5, -0.1, 1, 2, -1\/6, -2083?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z - 2. Let v be m(-2). Let u be (-3)\/10*v*5. Solve -4*a + u + 7 = t, 5 = -a - 3*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/6204 and 16\/59719.\nAnswer: 33681516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(12) + sqrt(84)\/sqrt(7)*3)\/(sqrt(96) - (sqrt(96) + sqrt(96) + sqrt(96) + sqrt(96)*1))*3*-5)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.059, 47, 5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-1\/2)*m*m)\/m**(-2))**(5\/16)*(m**(1\/4))**(5\/4)\/(m**(-1))**(2\/21) assuming m is positive.\nAnswer: m**(1009\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n = 2*a - 4*a - 10, -3*n = 5*a + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4614260 is divided by 228?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -9*z**2 - 5*z**3 + 4*z**3 + 0*z**3 - 4 + 10. Suppose -w = 3*w + 36. Let l be q(w). Let g(o) = -o**3 + 5*o**2 + 8*o - 7. Calculate g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*b + 18 = 0, 3*i + 907*b - 11 = 911*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -21 + 1. Let w = -354.4 + 362. Let a = w - 3.6. Sort a, j, -2\/3 in ascending order.\nAnswer: -2\/3, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w + 1 = h + 20, 2*w + 5*h + 23 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 2*q - 334, 0 = -q - 2*q + w + 488. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from wkw?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/17*-2 + 640\/3808. Suppose 0 + 4\/7*y**3 + 0*y + k*y**2 = 0. Calculate y.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30456.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, z: 6, e: 1, d: 2}. What is prob of picking 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 4*o - 160 = 0, 114*u - 113 = 111*u - 2*o. Solve 0 = -u*g - 56 - 76 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 11) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(684))**2*4 + 0.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -573\/64 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 r, and 1 g when three letters picked without replacement from krrogyooggrrgrgogygr?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 4237 = 5*u, 0 = -u + 6*u - 5*i - 4255. Let w = u + -596. Let z be ((-4)\/6)\/(7\/(w\/(-88))). Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 - 27 - (-1 + 1 - (21 - 4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -31147*g**3*r**3 + 693*g**3*r + 17181*r**3 - r**2 - 3*r + 71 wrt g?\nAnswer: -93441*g**2*r**3 + 2079*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -101 (b) -34\/7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + w + 809 = 150, 5*w - 805 = -5*n. Let j be -8*-1*n\/8. Let l = j - 115. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 155 = 19*o - 16. Calculate the remainder when 115 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 303862 and 9802?\nAnswer: 303862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1104 - 10028*k**2 + 16847*k**2 - 9394*k**2 wrt k?\nAnswer: -5150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 20*q**3 + 45*q**2 - 136*q + 4. What is the remainder when j(3) is divided by 47?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the first derivative of -11*r**6\/3 + r**3\/3 - 2*r + 56. Find the third derivative of v(p) wrt p.\nAnswer: -1320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2200\/(-22))\/(-4*3\/198). Calculate the highest common divisor of r and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.05842 - -0.7929. Round v to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 482, 611, 718, 791, 818?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -382 (b) -0.1 (c) -5 (d) 2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -24 (base 7) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**2 + 3579728*o + 114553344 = 0 for o.\nAnswer: -32, 1789896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2 + (-8)\/(-2))\/2. Let a be (0 + 1)*(q - 1). Calculate the remainder when (3\/4)\/(a\/32) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*h + 108778 - 217553 + 2*h + 108775.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -69 - -80. Suppose -2*n = -3*z + 38 + 37, 3*z + 75 = -3*n. Let f = -19 - n. What is the highest common divisor of u and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddvddvidtidvhvvdddv. Give prob of sequence vivi.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2 + 18*f - 8. Let c be v(16). Let q(o) = 7*o - c + 2*o - o**2 + 16*o - 38*o. Determine q(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -304 = 8*m - 4*m - 48*q, 2*m + 17*q = 21*q - 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 19 - (7 - ((-1 - -4) + 5 - 6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.2*11418.14\nAnswer: -2283.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 150 and 825?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2730480, -10921769, -24573918, -43686927?\n\"Answer: -2730430*r**2 + r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11 and 4719?\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) -6\/5 (d) 2\/45 (e) -0.722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 90 = -4*a, -8*a = -7*a + i + 21. Is a < -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1106, -851, -296, 709, 2314, 4669, 7924, 12229?\n\"Answer: 25*z**3 + 80*z - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -226.0091 - -226. Round a to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31702.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 7059429 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + -1066.324?\nAnswer: -1063.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 2*s + 3*j, s + 15 = -5*j + 39. Suppose 7*f - 368 = -4*v + 2*f, s*f + 16 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = -5*z + 3*w - 71, -2 = -w. Let y = -13 - z. Suppose -2*n + 2 = 4*l, 0*n = 2*n + 10. Solve y = l*x - 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4083?\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*z**2 + 3*z**2 + 2*z**2)*(10 + 3 - 10) to f*z**2 + u + b*z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(75) + -3)*-1 + (-4*(2 + sqrt(3)) - 2*sqrt(48)).\nAnswer: -17*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -91*b**5*s - b**4 - 2*b**3*s - b**3 - 14*b**2*s + 8*b**2 + 15*s + 1 wrt b?\nAnswer: -5460*b**2*s - 24*b - 12*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 157 + -162. Suppose 9 + 1 = 5*l. Let b be 2 + a\/l + (-18)\/(-4). Solve -y + 2*y - b = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -3.95 (b) -352 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - -4) + -31 + 31 + -2 + (4 - -116).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -34 + 342. Is 48 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1651 + -903. Let w = n + 30625\/12. What is the common denominator of 143\/30 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yxxyyyyxzyxyyz. Give prob of sequence zxy.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -11*q**2 + 1. Let k(j) = j**2. What is -4*k(b) - u(b)?\nAnswer: 7*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, 9, -3.\nAnswer: -3, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 882 = t + 2*n + 326, 4*t - 2236 = -5*n. Let g = t - 377. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-70)\/1295*-222)\/(-3*(-2)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1.45456 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3.7 take away -21.8?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -324 - -322. Which is the nearest to -19? (a) -0.4 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-374)\/68*(84\/98)\/(-1*2\/14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 64124 from -5078.\nAnswer: -69202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 59562 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28963 is divided by 701?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide 16566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -8\/5, -0.5, 12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*56\/(-63)*(-3)\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9429 - -9929. What is the remainder when v is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57984047?\nAnswer: 11, 347, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the third derivative of f**7\/210 + f**6\/40 + f**5\/30 - 3*f**2. Let y(z) = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3110224 - 12?\nAnswer: -3110241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 28723768, 28723766, 28723764, 28723762, 28723760?\n\"Answer: -2*k + 28723770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 7, y: 4, e: 4}. What is prob of sequence eq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-225)\/10800 - (-519)\/11088.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -5*l**2 + 2. Let z(p) = 148*p. Determine z(i(o)).\nAnswer: -740*o**2 + 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = 119 - 89. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2145*a**3*c**3 - 11979*a**3 + 3*a**2*c**3 - 6559811*a**2*c - c**3 wrt a.\nAnswer: 12870*c**3 - 71874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.4 (c) 2\/11 (d) 2248\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 46977, 46572, 46171, 45774, 45381, 44992?\n\"Answer: 2*s**2 - 411*s + 47386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 47 + -16 + -19 - 25.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -8*c**3 - 28*c**2 - 60*c - 33. What is the ten thousands digit of p(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/364836 and 53\/121612?\nAnswer: 364836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -104 by -11.\nAnswer: 104\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, h: 2}. Give prob of picking 2 h and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 65521 and 7?\nAnswer: 458647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -48*q + 1345 - 2785 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 3 = 23. Let t(d) = 4*d**2 + 289*d - 1. Let a(x) = -7*x**2 - 481*x + 2. Let s(n) = 6*a(n) + 10*t(n). What is s(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2.79*-1153.04\nAnswer: -3216.9816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 30*y**2 + 27*y**2 + 23*y**2 + y**3 - 12*y - 90*y**2 + 11. Calculate b(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of n**3\/6 - n**2\/2 - 4*n. Let g = -3 - -9. Let y be x(g). Solve -y*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2126233 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 5*v, 14*v + 2636 = -3*c + 15*v. Calculate the lowest common multiple of 1\/((-1)\/(-33)*1) and (c\/(-56) + -14)\/(4\/42).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 - (-5)\/(15\/12). Suppose -x = -2, -x = g - 0*x + 2. Calculate the common denominator of 14\/9 and g\/(-18)*24\/b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5574*y = 5469*y + 840. What is the highest common divisor of 3228 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*b + 1297 + 10*b - 145*b**2 - 1253.\nAnswer: -145*b**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 37444397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5324) - 1*sqrt(5324) - sqrt(5324).\nAnswer: -22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 26237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 2*g + 20 = 0, 7*g - 3*g - 8 = -4*w. Let d(k) = 2*k - 4*k + 2 + w. Suppose 0*j + 3*o - 12 = -3*j, 3*o = 0. Give d(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(-33)*6\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rqqbqqrbbrb. What is prob of picking 2 b and 2 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.5, -4, -34\/5, 3\/2, -2\/3, -0.4, -3982?\nAnswer: -3982","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 6*c - 4*f = 7, -3*c - 4*f + 17 = 0. Solve -c*m + r = -16, 3*r + 32 = 2*m + 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3561 is divided by 102.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -5*b**5 - 1635*b**4 - 8045*b**3 + 1635*b**2 + 8050*b = 0.\nAnswer: -322, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express n**3 - 14*n**2 + 15*n**2 + 2*n**4 + n + 1 + 1 as r*n**2 + l*n**3 + q*n + s*n**4 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36, 10, 126, 348, 712, 1254, 2010?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -5694*y - 1804925. Give g(-317).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1*(-18)\/(-165)*(-6300)\/(-420)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 3*c + 6 = 0, 2 + 2 = 3*n + c. Let w = n + -10. Let l = w + 14. Sort -3, l, 0.2 in descending order.\nAnswer: l, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 1 = 4. Suppose j - 5*j = 0. Let o = g + j. Put o, 5, -2\/5 in decreasing order.\nAnswer: 5, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = c - 6 + 1, u + 15 = -3*c. Suppose 0 = -2*g + 6*g - 20. Let w = u + g. Solve 6*o - w*o = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the second derivative of g**4\/4 - 2*g**3 + 17*g**2\/2 - 190*g. Let i(n) = -n**3 + 6*n**2 + 7. Let v be i(6). List the prime factors of u(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -5.15, 49, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 66415?\nAnswer: 5, 37, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110111000 - -11001000000011?\nAnswer: 11001110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*v - 4381 = -5*t - 4332, v - 5*t = -0*t - 27 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 99*w - 101*w = -28. Solve 5*o = -3*i + w + 2, o - 2*i = 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -242*y**2 + 1. Let n be j(-1). Let m = -166 - n. Suppose -m = 3*k - 8*k. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) -20\/833 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3980*m**2 - 13*m**3 - 3980*m**2.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1126 + 1141. Suppose 2*w = 2*g - 18, -4*g = -7*g + 5*w + 21. Let d = g + -8. What is the remainder when s is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 292836*d - 272*d**4 - 292836*d + (-2*d + d - 2*d)*(11*d**2 - 4*d**3 - 11*d**2) - d**4 + d**4 + 2*d**4.\nAnswer: -258*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 258*o - 4*o**3 - o**3 + 141*o - 318*o.\nAnswer: -5*o**3 + 81*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t + 7. Let h be n(5). Let b(p) = p**3 - 9 + h*p - 4*p**2 + 9. Suppose 3 = 5*l - 12. What is b(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 1 = -i, 4*i = 3*a - 649 + 632 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*n**3 - 3*n**3 + 2*n**3 + (-n**3 + 2 - 2)*(2 + 1 - 2) + (-7 + 4*n + 7)*(9673 - 183*n**2 - 9673).\nAnswer: -731*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -m - 47, j + 7767*m + 10 = 7765*m. Solve -j - 16\/3*y + 1\/3*y**2 = 0.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = d**3 + 13*d**2 + 9*d - 35. Let j be p(-12). Let l(c) = c - 7. Let s be l(6). Let v = s - -4. Which is bigger: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -2*g. Let c(a) = -a + 1. Let l(r) = -r**2 - 15*r - 2. Let p(u) = -2*c(u) - l(u). Determine p(d(s)).\nAnswer: 4*s**2 - 34*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (42\/252)\/((-2)\/6)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 122362 divided by 61181.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 divided by 104.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 29940520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -3*r**2 - 4*r + 2. Let m(q) = q - 1. Give 4*m(w) + p(w).\nAnswer: -3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.234 + -0.534. Which is the fourth biggest value? (a) 0.3 (b) 1\/2 (c) f (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -15 in -9, 3, 1\/6, -1.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4283780 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00453428 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**2 - 8*y - 120. Let v be o(18). Calculate the highest common divisor of v and 540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.058163 rounded to four decimal places?\nAnswer: -0.0582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 225036 is divided by 3082?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**2 - 26*q + 78. What is l(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 4, n: 4, o: 3}. What is prob of sequence foo?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-31)\/(2790\/(-48)))\/((-176)\/(-198)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-3)\/(-1 - 48\/(-54)) is divided by 120\/9 + 4\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a - 13 = 2*a - 5*z, -a = -2*z + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8)\/6*((-2475)\/20)\/15. Solve 3*f - 2 = -n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/(-12)*0 + 5. Let x(m) be the first derivative of 0*m**2 + 0*m**4 + 0*m**3 + 2*m + 1\/5*m**u + 2. What is the derivative of x(n) wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 301 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*t - 6 + 6*t - 5*t)*(1 + 5*t - 1) in the form m*t + f*t**2 + b and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -3*b**3\/5 - 3*b**2\/5 + 72*b\/5 - 108\/5 = 0. Calculate b.\nAnswer: -6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -2*p. Let y(x) = 2*x**2 + 2*x + 2. Let l be y(-2). Let j(o) = o - 4. Let a be j(l). Let r(b) = 0*b - a*b + 0*b. Determine d(r(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -6*o - 1 + 7*o**2 - 6*o**2 - 2. Let w = 2 - 3. Let t be (w + 0)\/(5\/(-25)). Calculate b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert c66 (base 13) to base 15.\nAnswer: 95c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 195157 - 2143049\/11. Let q = n - 334. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 4430 (base 5) to base 14\nAnswer: 31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 - 7*x**2 + x - 2. Let a be z(7). Let q(o) = -6*o - o + a*o - o**2 + 2 - o. Determine q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 49 - -17. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -105144*o**2 - 22*o + 315415*o**2 - 105132*o**2 - 105137*o**2 - 29*o.\nAnswer: 2*o**2 - 51*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75*w = -16*w + 1114841. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -211 (base 3) in base 9?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2260*t = 5*o - 2262*t - 13, 2*o + 6 = -2*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s**2 - 5*s = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z = -275*z - 2188 - 1076 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 49316*h**3*j**3 + 2215*h**2*j**3 + 1039*h*j**3 + 38*h*j**2 - 3*j**3 - 6*j**2 + 2 wrt h?\nAnswer: 295896*h*j**3 + 4430*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -8*t + 3. Let x be 664\/(-56) - -6 - (-1)\/(-7). Let s(z) = z - 1. What is x*s(c) - p(c)?\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - -6. Solve -2*b + 1 = d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*c - 117 + 29 = 0. Solve -19 = 4*r + c*m - 9, 0 = -3*r - 2*m - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6 and 17634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is d7 + -ba414?\nAnswer: -ba31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -851 - 2809 = -15*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes after 2:24 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12348 and 490.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -39176690\/245089 - -12\/18853. Let g = -160 - i. Let d = -0.1 + 0.4. What is the third biggest value in g, 3\/4, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (231*i - 44*i - 83 - 74 + 155)*((4*i**2 + 2*i**2 - 5*i**2)*(0 - 1 - 1) + 2 - 5*i**2 - 2).\nAnswer: -1309*i**3 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 PM and 6:20 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 601\/24 + -195\/8. Let o = 3.5 + -3. Which is the nearest to d? (a) 2 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(-12) - (-1147)\/372. Suppose -5*a + j = -10, -9 = -a - 2*j + 4. Solve -h = a*f - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-8)*2*4*(-3744)\/128.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*c**3 + 547818 + 547815 - 1095633 - 49*c**3.\nAnswer: -45*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + 0 + (-5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.078 - 0.232. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -x + 5*c, 3*c + 1339 = -5*x + 1294 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes after 6:26 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.17188 and -0.45.\nAnswer: -0.077346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**2 - z + 2. Suppose -3*p = -78 - 126. Let f = p + -66. Determine w(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -811327, -1622686, -2434045, -3245404?\nAnswer: -4056763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/45 - 26\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -76512 - 21744?\nAnswer: -120456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -949*h**5*n + 6644*h**2*n**2 + 2*h*n**2 - 5598402*h - n wrt h?\nAnswer: -18980*h**3*n + 13288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*c + 164 - 619. Suppose 16337 = -18*u + c*u. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - 10 = -5*p. Solve -b = -5*h + 4*h + 4, -18 = -4*h + p*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -204, -799, -1790, -3177?\nAnswer: -4960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 37483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 13348 and 32?\nAnswer: 106784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2069 - -2074. Sort 15, g, 2, 1 in decreasing order.\nAnswer: 15, g, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 196*j = 173*j - 115 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 - 18*q**2 - 19*q + 67. What are the prime factors of j(-17)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 + -5. Let n = 1 - -3. Let c(a) = 2*a - 5. Let h be c(n). Solve -f*x - 17 = h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 451 and 1681.\nAnswer: 18491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1890.8 minus 851175018?\nAnswer: -851176908.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 47340 + -25356. List the prime factors of v.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3282 and 36?\nAnswer: 19692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 978, 5, -85, -5 in descending order.\nAnswer: 978, 5, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 4298.758nm to meters.\nAnswer: 0.000004298758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**3 - t**2 + t - 2. Let l be b(2). Suppose -2 = -l*z - 2*p + 10, 2*z - 4 = -2*p. Calculate the remainder when 1*(0 - -1*7) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 584?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -7*w + 12. Differentiate -52 + w*s - 4*s - 3*s**3 + 127 + 0*s with respect to s.\nAnswer: -9*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6550 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 14) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 599*v = 61*v - 315*v - 298*v - 18416 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/3*(-23)\/((-2415)\/(-42))*(-45)\/(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -2*c**3 - 3*c**2 - 140*c - 3. Let p(r) = r**3 + 2*r**2 + 140*r + 2. Determine 2*k(g) + 3*p(g).\nAnswer: -g**3 + 140*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 20 - 45 + 25 - 16*z to t + b*z and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -35 - -78. Let k = 13798366 + -13798322.999915. Let w = g - k. Round w to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**3 - t**2 + 3. Let z be s(0). Suppose 11 = 2*a - z. Suppose 16 = -4*w + 8*w. Calculate the remainder when a is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 38064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 9019, 18034, 27049, 36064, 45079, 54094?\n\"Answer: 9015*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 675624\/(-1596) + 3\/7. Let h = -423 - i. Let t = 283 + -278. What is the smallest value in t, 2, -2\/11, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8*30\/(-48)*(-60)\/25 - (-44 + 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*v - 1180 = 90*h - 3*v, -h - 50 = 2*v - 33 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -8110 - -2.\nAnswer: -8108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 + 3. Suppose 0 = 9*z + 8 - 53. Solve y = g - z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 45 + -18 - (3 - -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -5*f**2 - 4*f + 3. Let z(s) = 1. Let g(q) = -d(q) + 4*z(q). Let x be (-10)\/(-5)*(-1 - -3). Let r(c) = -4*c**2 - 3*c - 1. Calculate x*r(t) + 3*g(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-w**2 + 6*w**2 - 2*w**2)*(337*w**2 - 178*w**2 + 2*w - 185*w**2) as l*w**3 + d*w + r*w**2 + u + n*w**4 and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 947295 and 16605.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 847190285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 77 + -112. Let d = m + 59. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**2 - 6*l - 6. Let c(m) = -m - 13. Let u be c(-7). What is n(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0249395 to 4 dps.\nAnswer: 0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of l**3*m**3 - 3*l**3*m - 189*l**2*m**3 - 4*m**3 - 287*m**2 wrt m.\nAnswer: 6*l**3 - 1134*l**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(34)\/(sqrt(10)\/(sqrt(5) + sqrt(5)*-2)) + (1*sqrt(85)\/sqrt(5) - (sqrt(17) - sqrt(153)\/(sqrt(45)\/sqrt(5)))**2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add 47.3266269 and 71.\nAnswer: 118.3266269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39186\/26 + 1744\/(-11336) is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 247280 is divided by 137.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -140160 by 2336.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 234 divided by 21664.\nAnswer: 117\/10832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 16 in 2, 4\/7, -16.65, -33?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -9\/125648213?\nAnswer: -9\/125648213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = i - 1, i - 2*o - 3 = -2*i. Are i and -14\/51 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**2 + 5*v + 69. Let w(y) = y**2 - 6*y - 70. Let o(n) = -6*q(n) - 5*w(n). Let a be o(0). Is (-18)\/4*a\/6 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -17*p**2 + 20*p - 30. Give i(4).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is b in b**4\/4 + 13*b**3\/2 + 25*b**2\/4 = 0?\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -2*o**4 - 376*o**3 + 1956*o**2 + 5032*o + 2702 = 0.\nAnswer: -193, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 290742258?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 882.2267 years?\nAnswer: 8.822267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -927, -924, -921, -918?\n\"Answer: 3*m - 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 426, 2, -9498 in decreasing order.\nAnswer: 426, 2, -9498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 20 in -1\/15, 3\/8, -3, -0.1, -1, -19\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 574770 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 464513\/108 + -4301. Let l(s) be the third derivative of 0 - 7\/270*s**5 + 1\/180*s**6 + 0*s - 1\/27*s**3 + m*s**4 + 4*s**2. Find k such that l(k) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -15*y**2 + y + 5. Let t be v(-3). Let p = -94 - t. What is the remainder when p is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 520 and 416?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15)\/3*((-80)\/64)\/(21400\/(-64))?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + 1221\/(-77) + 7.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 371 and 25175?\nAnswer: 176225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, 8, 165 in decreasing order.\nAnswer: 165, 8, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4 - (-1 + (-14)\/(-6))*-3. Suppose 5*r + 4*m - 365 = 0, z*m + 128 = 2*r - 2*m. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2*(2 - (3 + 0)). What is the units digit of -1 + 0\/f + 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**2 - 5*u + 8. What is the units digit of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 167 a factor of 14863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -202 + 223. Solve v = 4*y + s, -2*y - 37 = -5*v + y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4312 - -4317. Solve -3*p + 3 = 4*h, -18*p + 16*p + 2 = z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29 - -1 - (32 + -24 + -22).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u - 222. Let g(q) = -2*q + 589. Let x(k) = 8*c(k) + 3*g(k). Suppose -3*i + 1 = 13. Let r(p) = -3*p + 10. Give i*r(n) - 5*x(n).\nAnswer: 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 74102471.\nAnswer: 97, 763943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 2*k**2 - 9*k + 8. Let i be r(4). Suppose -f = -x - i*f + 2600, -3*f - 2600 = -x. Round x to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(125)*2*5.\nAnswer: 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 991 + -1816. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*c - 2*c - 2*c)*(-2*c**2 + c**2 + 2*c**2)*(4*c - 5*c - 2*c)*(8 + 26 - 15*c - 28).\nAnswer: 45*c**5 - 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6\/(-4))\/(((-210)\/(-8))\/(-35)). Solve -2*y - 5*m = -3, -2*m - g - 12 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -5826 divided by -6\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*y**5 + 16*y**5 - 17*y**5 + 22*y**5 + 25*y wrt y?\nAnswer: 560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/36)\/(16\/(-12))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -3*m + 4*x + 30, 0 = 3*x + 3. Suppose -2*g + m = g. Suppose -2*d - g*d = -65. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6.7 - -7. Let o = -11616 - -23235\/2. Which is the closest to 1? (a) -0.056 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(5 + -6) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 35648817 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (248\/(-310))\/(2\/(-10)). Suppose g = i - t, -1 = 5*g + 3*i - 13. Let z(l) = -4 + 0 + 2*l - 3*l + l**2 + 2*l. Calculate z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 5*a*v + 549*a - 9*v wrt v.\nAnswer: 5*a - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -36 + (61 - 27) + -2 + -16 + 11 + -13?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13627*o + 399*o + 2165*o - 3066*o.\nAnswer: -14129*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 617562 - 617717.6766. Let w = p - -155.3. Let h = w - -0.38. Round h to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -73 + 14 + (-12 - -72).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eqv when three letters picked without replacement from evqqtenetqvpvt.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -7914.39405 rounded to the nearest 100?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -38 + 37.928. Let k = j + 1.712. Let c = 1.64000436 - k. Round c to seven dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4028 + -12082\/3. Let t(u) be the second derivative of 7\/2*u**2 + j*u**4 + 0*u**3 - 18*u + 0. Differentiate t(s) with respect to s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**3 - 10*l**2 - 221*l - 1719. Give q(-8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c + 12 = -2*c. Let j = -25 + 43. What is the greatest common factor of c and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**5 - 6*v**5 + 2*v**5 + (-24 + 50*v**2 + 24)*(v**3 + 7*v - 7*v).\nAnswer: 48*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-30317)\/(-12))\/7 - (-1)\/2. Let c = -361 + s. What is the common denominator of c and -5\/11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**3 + 15*v**2 - 28*v + 20. Let p be n(13). Let w be 92000*(-45)\/(-12)*p. Round w to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 3*t**3 - 3*t**2 + 2*t. Let o be z(2). Suppose -o = -u - u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -79, -156, -233, -310?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*b - 20*b - 28*b**2 + 14*b.\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8268 - 5227. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 64*h**2 - 3*h. Let c(r) = -2*r**2 + r. Give 2*c(j) + u(j).\nAnswer: 60*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6078789 - 6078789 + 35*i.\nAnswer: 35*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 31*p - 36*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((g\/((g*g**(1\/3)*g)\/g*g)*g*g)\/g)\/g)**(2\/11))**50 assuming g is positive.\nAnswer: g**(-400\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 533 divided by -245670?\nAnswer: -533\/245670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*w - 20 = 7*w. Calculate the highest common factor of 30 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1, -4, 0, -801, 324, 1 in decreasing order.\nAnswer: 324, 5, 1, 0, -1, -4, -801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 36\/(-1068)*10\/(-3)*(3672\/(-72))\/(-255)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - 1 - (-82 - -92).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-8)\/(-10)*(-10)\/(-4). Let w be (o - 1) + (3 - 0). Let r be (-9)\/(-6)*w\/(-3). Which is bigger: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (13 - -2) + 2358 + -2337.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 135938778 and 3873903.\nAnswer: 1495326558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1062 is divided by 102.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 - 1. Suppose -5*y - 3*r + 22 = 0, 4*y = -v*r + 4 + 13. Suppose y*o - 20 = -5*q, -q - 5*o = -21 + 1. Solve q = -w - 2 - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 2.1, -0.5, 0.4, 2316, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 22958*m**3*x**3 - 42767*m**2*x - x**3 wrt m.\nAnswer: 137748*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3032 - -4?\nAnswer: -3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 120, 243, 366, 489, 612?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -29*k**3 - 13*k**2 - 11*k. Let g(j) = 15*j**3 + 6*j**2 + 5*j. What is -11*g(p) - 5*o(p)?\nAnswer: -20*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(420\/7)*-15*(-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 3 = -3*r + 35, -32 = -2*q - r. Suppose 3*n - 21 = 6. Let u be (-920)\/q + n\/6. What is u rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, y: 1, a: 1, j: 1}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98*x = 88*x + 50. Let s(b) = -50*b + 250. Let z be s(x). Solve z = -27*h + 28*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -54680, -7, 1, 3, -10 in descending order.\nAnswer: 3, 1, -7, -10, -54680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 179.81301 months in centuries?\nAnswer: 0.149844175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/18)\/(4\/40*-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be -12 - ((-156)\/13 - 3658). Calculate the highest common factor of 62 and v.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.343 - -3.3. Let n = f + -0.957. Which is the third smallest value? (a) 4 (b) 0.3 (c) n (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 952, 1017, 1084, 1153?\nAnswer: 1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 - 8. Suppose -3*l - 16 - 20 = 0. Is (1 + o)*(-45)\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*x = 90*x + p - 14, 2*p = 341*x - 3*p - 968 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 113891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1063380 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10328 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1169 and 1169.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -131*p + 40*p + 3*p**2 + 53*p to the form x*p + m + b*p**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a = -g + 5, 3*g + a - 124 = -109 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -33, 625, 0.\nAnswer: -33, 0, 9, 625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 104 divide 22911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 150840 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -73 - -78. Let b(n) = 240*n + 13. Is b(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1767275 is divided by 64?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 142, 3, 0, -10, 4, -4 in increasing order.\nAnswer: -10, -4, 0, 3, 4, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -114102 (base 5) to base 7\nAnswer: -15320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1196.589 from 10123932.\nAnswer: 10122735.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2 - 5*r + 3. Let h be i(-5). Suppose 4*p = -5*z + 16, 5*z - 12 = z - h*p. Solve u + z = -5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6760 and 100?\nAnswer: 33800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 482 is divided by 122.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -392 - -392.4. Let f = -0.6 + 0.1. Which is the closest to -0.2? (a) q (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -167\/13 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 145 is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 149e93 + -29?\nAnswer: 149e69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:52 PM and 7:22 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.042 and 0.07.\nAnswer: 0.00294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2982 times -0.1546?\nAnswer: -461.0172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1664513080 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 395018.\nAnswer: 2, 13, 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 3*s**3 + 14673*s**2 + 17948745*s + 17934075 = 0.\nAnswer: -2445, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ubb when three letters picked without replacement from ubbnnububuuu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3\/39 - ((-3222121)\/91)\/1?\nAnswer: 2, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85*g + 59229 = -82*g - 4*d, 2*d = 4*g - 78982. What is the highest common divisor of g and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 106*((-3)\/(-6) - 1). Let p = -51 - t. Find the third derivative of -20*g**p - 23*g**6 + 15*g**6 - 6*g + 6*g wrt g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/2*5*12*(-10)\/(-480)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2068872 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6131 - 3096 - 3050 - 18*i**3 - 2*i.\nAnswer: -18*i**3 - 2*i - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 + z**2 + 5*z - 3. Let i(r) = -r**3 - 6*r**2 + 5*r + 6. What is the remainder when v(-4) is divided by i(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.014 (c) 46 (d) -14 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4924873 is divided by 46461.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k - 12 = 3*k - 2*t, -t = -3*k + 14. What is the smallest common multiple of 94\/6 - (-1)\/3 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + (-20 + 19 - (4 + -4)) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 + 8*m**2 - 9*m + 2. Give c(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from prrprrr. What is prob of picking 1 p and 3 r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6\/5? (a) 1\/3 (b) 576 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times 153899?\nAnswer: -15389.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 206, 2\/5, -3, 1, -1.\nAnswer: -3, -1, 2\/5, 1, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 3*c = -10, 4*c - 2*c = 4*i + 20. Which is bigger: i or -14\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, -2, -9, -10, 0, 4 in ascending order.\nAnswer: -10, -9, -2, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1820 and 980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -6117 at most -6117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the third derivative of -b**5\/30 - 381*b**2. Let z(l) = 858*l + 1. Give c(z(i)).\nAnswer: -1472328*i**2 - 3432*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 714.5308 milligrams in kilograms?\nAnswer: 0.0007145308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -242 + 153.06568.\nAnswer: -88.93432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 3*n + 4*n = 41028. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 121519 is divided by 12069.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 872899 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -117b7a (base 14) to base 10.\nAnswer: -597712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 31 and 14849.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g - 2*g + g)*(5 + 1 - 5 + (-1 - 3 + 6)*(-3 + 2 - 1) + (-15 + 1 + 104)*(2 - 15 + 10)).\nAnswer: 546*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2837 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-28)\/16 + 9\/12 + 19?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 60*u - 16*u + 8*u in the form i*u + s and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/60)\/(-3*3\/(-27))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1598279317 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 6*v - v + 3 + 3*v**2 - 3*v**2 - v**3 - 5*v**2. Let m(a) = -a**2 + a + 6. Let g = 17 - 13. Let d be m(g). What is u(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 297 - 292. Solve -2*a = 4*p - 16, 3*p = a - 3 + m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(220) - (sqrt(220) + sqrt(220) + (-1*1*sqrt(220) - sqrt(220) - sqrt(220))) - sqrt(220))\/((sqrt(1584)*1)\/sqrt(4)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 - 7*l**2 + 8*l + 4. Let i(v) = 2*v**2 + 20*v + 34. Let y be i(-7). Let z be n(y). Solve -3*m - u - 5 = -z, -m - 3 = u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -10*a - 3. Let u(l) = -13*l - 4. Let g(i) = -3*u(i) + 4*x(i). Let z(h) = -18*h. What is 12*g(n) - z(n)?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 898.6231 millilitres to litres.\nAnswer: 0.8986231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 + 5*q - 1. Let h(r) = -r**2 + 6*r - 2. Let f(s) = 5*h(s) - 6*k(s). Solve f(d) = 0 for d.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 285776 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 64507 at most as big as 64505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1550.1 - 1550. Which is the closest to 2\/3? (a) t (b) -8 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -36161\/312 - -1478\/13. Calculate the common denominator of z and -133\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*x - 317 = -78*x + 43 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/9*3\/10. Let v be 32\/(-384) + 13\/39. Which is the fourth smallest value? (a) v (b) -4 (c) x (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4177084 litres in millilitres?\nAnswer: 417.7084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.05 - 61943.\nAnswer: -61942.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12210 and 62061395.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**2 - 2*o + 3. Suppose -3*p = -4*h + 1 - 5, -2 = -p + 2*h. Suppose 5*y - 4*i + 10 = p, 0 = 5*y - y - 3*i + 7. What are the prime factors of c(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:11 PM and 5:30 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of -s**3\/3 + 2*s**2 + 12*s - 57. Let h be b(-2). Solve h = -0*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -u**2\/2 + 14019*u\/2 + 323495 = 0.\nAnswer: -46, 14065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (25\/(-10))\/5*(-4)\/14\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1455.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 10240, 10237, 10234?\n\"Answer: -3*i + 10243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add together 3.6 and -5014577.\nAnswer: -5014573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -50*(319\/957)\/(1 - (-5)\/(-3)) + -7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 7 - 41. Let j = -5 - t. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 293, 5, -3, 18, -5, 34 in decreasing order.\nAnswer: 293, 34, 18, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -154*u - 36 = -145*u. Which is the closest to 2\/3? (a) 4 (b) u (c) -20 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8*((-5920)\/(-40))\/(-37)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1b57 (base 13) to base 15\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3292988.\nAnswer: 2, 283, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 890\/356*(-11 + -3)\/((-35)\/14)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = 14 - 2, 9 = 3*f - 2*c. What are the prime factors of (f - 1)\/(-3) - -22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -59 + (58 - 3) - (1 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -2*k + 119, g + 57 = -0*k + k. Let f = k + -311\/5. Which is smaller: f or 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 370681667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be (632\/12)\/((-7)\/(-21)). Let y = 142 + z. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*j - 4 = -3*j + 68 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*l**3 - 895429*l**2*n**2 + 16*n**2 - 1899*n with respect to l.\nAnswer: 6*l**2 - 1790858*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10 + 6. Let t = -132527 + 132522. Sort l, -0.1, t, -2\/7.\nAnswer: t, l, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 20 - 0. Suppose b + 2*h = 6, -12 = 2*b - 0*b - a*h. Solve b*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w + 2. Let g be m(-5). Let a = g + 3. Suppose a*z = 4*z - 136. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -12\/5 (b) 10 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1.06 times -1.7\nAnswer: 1.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -0.17 (b) -1\/3 (c) 1.4 (d) -30 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4714*0.1.\nAnswer: -471.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aad when three letters picked without replacement from {o: 1, a: 3, d: 1, t: 1, q: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be (14 + 4 + -5 + 7)*1. Calculate the greatest common divisor of v and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-3)\/(-9))\/(21\/9). Let m = 1.0912 - 1.3912. Suppose 1 = 2*x - 1. Which is the closest to x? (a) g (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2\/303 - -4858\/1515. Let j be 1*6023\/(-8) + -1. Let s = -757 - j. Calculate the common denominator of s and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(108) + 1) + 0 + (sqrt(108)*2 - sqrt(108)) - (-5*(sqrt(108)*2 + 0) + 0))**2.\nAnswer: 1224*sqrt(3) + 31248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -925 + 925 + 3*w + w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes after 9:03 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5622 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 14606 divided by 381?\nAnswer: 14606\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 9892576 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**2 + 9*x - 16. Let m be z(3). Suppose 5*c = -7 - 3. Put 7, c, m in decreasing order.\nAnswer: 7, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 516 divided by -4.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 279 divide 29842551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*p - 12 = -29*p. Suppose -6*i + 4*i + 82 = -p*c, 5*c + 132 = i. Let b = c + 15. Are -9 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, -230, -0.3, -2\/7, 0.3?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -2*l**2. Let y(r) = 4*r**2 - 10*r. Let q(d) = d**2 - 3*d. Let b(w) = 10*q(w) - 3*y(w). Determine z(b(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 80218 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1672 is divided by 239.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 36 = 2*z. Let q(i) = 7*i + 8 + 13*i - 20. Let j(p) = 8*p - 5. Let d(m) = -12*j(m) + 5*q(m). Let f(n) = -17*n + 1. Calculate z*d(a) + 2*f(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.4 (b) -20 (c) -326 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 748158 (base 9) to base 10.\nAnswer: 445553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mf when two letters picked without replacement from {z: 1, t: 1, m: 1, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1340640 divided by -7056.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11120473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -4565 divided by -913?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 27 + 7. Let j(z) = 2*z**2 - 66*z - 38. Is j(t) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 259*g - 257*g + 24 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, t: 2}. What is prob of sequence tti?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4329)\/(-90) - (-2)\/(-20). Suppose 0 = -6*u + 3*u. Let x be (u\/(-3))\/(-3) - -32. Calculate the highest common divisor of h and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**26*z**(-9\/7)*z)\/(z**40\/(z\/(z*z**29\/z))) assuming z is positive.\nAnswer: z**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of -u**3\/6 + 2*u. Let t(o) = -2*o. Determine j(t(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 29, -1085, -5, 1, 3 in decreasing order.\nAnswer: 29, 7, 3, 1, -5, -1085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 11? (a) 151 (b) -23479 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3699 - -3913. What is the remainder when p is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 - 14*z**2 - 13*z + 30. What is c(-8)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-7)\/(-84)*-9*((-76)\/12 - -5). Solve 0 = 4*j - 3*w - 4, -n = j + w - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 43*p**2 - 439 + 439 in the form f + i*p + a*p**2 and give a.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 3*s**4\/5 - 11846529*s**3\/5 + 28431612*s**2 - 568631856*s\/5 + 758175552\/5 = 0. What is s?\nAnswer: 4, 3948831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11.72 - 40.78. Let s = -0.48 - 51.52. Let a = s - g. Sort a, -4, 4, -0.1.\nAnswer: -4, -0.1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (2 + -6 - -53) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -3*y**3 - 10*y**2 + 10*y - 19. Let a(d) = d**3 + 3*d**2 - 3*d + 6. What is -7*a(w) - 2*z(w)?\nAnswer: -w**3 - w**2 + w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a + 16. Let f be s(8). Let u be 220\/f + 1\/(-2). Suppose -4*h = -k + u, -39 = -2*k + 5*h - 2*h. Is k 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 916 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 1\/10201 (b) 0.1 (c) 4 (d) -9 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/6, 7, 0, 3\/5 in increasing order.\nAnswer: 0, 1\/6, 3\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16666?\nAnswer: 2, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8832, 8835, 8838, 8841?\nAnswer: 8844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*u**6 - 1841*u**3 + 969*u**2 wrt u?\nAnswer: -240*u**3 - 11046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1194*i + 1195*i - 51 = -4*q, 4*i - 51 = q. Solve -4*l = m + i, -5 = l - 4*m + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4310913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 22311172 (base 9) to base 2\nAnswer: 101001001111111111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 40730 divided by 4073\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + l + 3*l + 0*l - l - l + (7 - 3 - 2)*(-1 + 1 - l) + (-2*l + 5 - 5)*(-3 + 4 - 2))*(4*l + 4 - 4).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 10\/2 + 48\/(-48). What is the greatest common divisor of 6 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 - -10. What is the first derivative of v + 0*y**4 - 4 + y**4 + 2*y**4 wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the first derivative of 427*o**4\/4 + 4*o**2 - 188*o + 4187. Find the second derivative of x(i) wrt i.\nAnswer: 2562*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-26 - -25)\/(4\/6 - 1). Solve 8 = w*g - g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 82, 0 in increasing order.\nAnswer: 0, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**2 - 3*f + 4. Let o(p) = p - 3. Let h be o(0). Let y be k(h). What is the second derivative of -2*n + 4*n - n**y - 4*n + 0*n wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -237, -484, -731, -978, -1225?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1963 + -54c?\nAnswer: -20b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/((-4)\/(-214)) + -1. Let x be ((-24)\/p - (-4)\/(-18)) + 3. Solve -14 = 3*z + 2*z - x*g, z + 5*g = 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 327, 656, 985, 1314, 1643?\n\"Answer: 329*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-726)\/99)\/(104\/156)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 30\/1 - (-5 + 2). Find the common denominator of t\/(-54)*(-132)\/8 and -3\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84)*-1*2 + -6*(sqrt(84) - (sqrt(84) + (sqrt(84) - sqrt(84)*-1)) - sqrt(84)))*-4)\/(-3*sqrt(300) + sqrt(300) - sqrt(288)\/sqrt(6)).\nAnswer: 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 3451929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/23? (a) -3 (b) 0.4 (c) 0.1 (d) -1\/1004 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -45*s**3 + 2*s**2 - 1. Let b be (-8)\/((-2)\/(-1) - 0). Calculate the common denominator of d(-1) and -3 + b + (-309)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 7}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -4*y + 30518, 5*r + 7643 = -29*y + 30*y. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*j - 17*j = 40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1806\/(-2752))\/(12\/16)*(-6)\/(-14).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13728*j - 252288 = 13680*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**2 - 2*h - 3. Let a be p(-5). Suppose l + 3*l - a = 0. Let s(q) = -2*q**3 - q**2 + 2*q + 1. What is the least common multiple of s(-2) and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -280*p**5 + 223*p**2?\nAnswer: -16800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i**3\/4 + 308871*i**2\/4 - 12350040*i + 493937600 = 0. Calculate i.\nAnswer: 80, 308711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*u - 8*u - v + 55, 0 = -1004*u + 998*u + 3*v - 5*v + 86 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -9*s. Calculate the remainder when d(-5) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16856 is divided by 5593?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Are -2\/15241 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 609*i + 79*i**3 + 607*i + 3*i**2 - 1210*i + 110*i**3 + 59*i**3 to the form u*i**3 + z*i + s + q*i**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*n**2 + 2*n**2 - 1432*n**3 - 253*n**3.\nAnswer: -1685*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 3*f - 4*f + 12*f**3 + 6*f**3. Let j be n(1). Solve -3*v + j = -4*i, 4*i + 4*v = 2*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-212)\/6)\/((64\/(-8))\/48) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2189.\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oovoqoooooooqqv. Give prob of picking 3 q and 1 o.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1068 divided by -6\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 2*s - 1. Determine g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x\/x**(-2\/5))*x\/(x*x**(-1\/19)*x))\/(x**(-2\/9))**(13\/2) assuming x is positive.\nAnswer: x**(83\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*z**2 + 2*z**2 - 6*z**2 + (5*z**2 - 3*z**2 - z**2)*(4 - 3 + 1) + 4 - 4 + 2*z**2 + 5 - 6*z**2 - 5.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -362*p + 2. Let l(i) = -8*i**2. Give l(q(m)).\nAnswer: -1048352*m**2 + 11584*m - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 222\/(-13) + 17 - 0\/1.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 2*r**2 - 15*r - 20. Let w be n(9). Let d be -13 + w + 8 + 1. Solve 0*f - 5*f = 25, 3*m = -d*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 - -7. Suppose 4*h + 3*i - 48 = o*h, 67 = 3*h + 2*i. Suppose 3*l + u = 31, -3*u - 75 = -16*l + 11*l. Calculate the remainder when h is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1*2\/(-87))\/(6\/54*-6)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + (-4 - (15 + -21))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x = -a + 11, a = -29*x - 145*x - 156*x + 650 - 1303 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is ((-12770)\/(-15))\/(6\/99) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1753a2 (base 11) to base 14\nAnswer: 708d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 350279 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -30*((-6)\/2)\/((-202)\/(28280\/126))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -3833, -3, -18, -105?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 4664 by 1166.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -27\/5018195 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes before 3:27 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 76 and 5149?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -2, 6*t + 5*j = 150 + 55. Put t, 7, -2 in descending order.\nAnswer: t, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 58 in 4, -24\/47, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-117)\/(-195))\/(5 - (-274)\/(-50)). What is the smallest value in 0.5, c, -2\/257?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w**2 - 3*w - 4. Let v be b(3). Calculate the greatest common factor of v and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 8124 and 1778?\nAnswer: 6346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -67701 (b) -2 (c) -1094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**3 + 4*j**2 - 4*j + 5. Let p be k(-4). Suppose w - 12 - p = 0. Let y = 28 - 6. What is the greatest common divisor of y and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -66, -255, -570, -1011, -1578, -2271?\n\"Answer: -63*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**3 - 10*k**2 + k + 14. Let t(h) = h**2 + 2*h - 3. Calculate the smallest common multiple of s(-10) and t(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 6 = 4*c + 3, 0 = -4*s - 5*c + 12. Find the first derivative of -2 + 5*l**s + 1 - 2*l**3 + 0*l**3 wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78*p = 75*p + 66. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c**2 + 23*c - 53. Let o be m(-31). Let k = -8014\/7 + o. Which is greater: 12 or k?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -2*s**3\/5 + 3356*s**2\/5 + 40174*s - 1068760 = 0.\nAnswer: -77, 20, 1735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the third derivative of 0*s + 1\/588*s**8 + 22*s**2 - 2\/105*s**5 + 0*s**6 + 0*s**3 - 1\/42*s**4 + 0 + 4\/735*s**7. Factor k(l).\nAnswer: 4*l*(l - 1)*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, -0.07, 3\/22 in decreasing order.\nAnswer: 2\/11, 3\/22, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(320) + 2 + sqrt(320) + sqrt(320) + 5 + (sqrt(320) + 2)*2 + -5)**2*4.\nAnswer: 5760*sqrt(5) + 96432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 96, 175, 306, 489?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -210*m + 42423. What is o(202)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**23)**49*(b**29)**(4\/17))**10 assuming b is positive.\nAnswer: b**(192750\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, x: 8}. What is prob of picking 1 x and 3 d?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 48\/12*1\/((-328)\/8)\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*b = -20*b + 12926. Suppose -2*c - b = 5*f - 857, -3*f = 6. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 - 7*g - 115. Let w be q(-8). Find the first derivative of -2*x + 43 + 81*x + w wrt x.\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((((-2580)\/(-43))\/(-180))\/((-4)\/(-4)))\/(2\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 8) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -17189, -34378, -51567, -68756, -85945?\n\"Answer: -17189*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16610 is divided by 7589.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -23 - -41. Suppose -24 = -4*q + 4*l, -18 = -4*q + 7*l - 6*l. What is the lowest common multiple of p and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -80 + 402\/5. Let x(c) = c**2 + 6*c - 14. Let h be x(-8). Suppose 2*s - 1 = 7*s + 3*j, 3*s - h*j = 7. Which is greater: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -75917207\/440 + 172539. Let g = x + -3\/40. Sort -2, g, 0.4.\nAnswer: -2, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 15 - 5 = 0. Suppose -21 = -z*w + 25. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - 5*w**2 - 3*w - 27. Let g = -31 - -48. Let d be l(g). Suppose -2*h + 3*t = h - d, 0 = -2*h - 5*t + 2232. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 45 and 1185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -1115 by 6.\nAnswer: -1115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 2*l - 72 + 12 = 0, -l = -5. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**2 + 2*y + 2. Let k(u) = 10*u - 4 - 3*u - 1. Let s(q) = 13*q - 9. Let f(p) = -11*k(p) + 6*s(p). Give 2*f(a) - w(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/((-48)\/(-20)))\/((175\/(-175))\/(4\/(-11)))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/105 and 11\/1410?\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g**2\/5 - 12138*g\/5 - 583296 = 0. Calculate g.\nAnswer: -217, 2240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*u - 45*u**2 - 4*u.\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/8 of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17379?\nAnswer: 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 5*d**3 + d**2 - 2. Let c(x) = 208*x**2 - 2*x**3 - 4*x**3 - 144*x**2 + 3 - 65*x**2. What is 4*c(z) + 6*u(z)?\nAnswer: 6*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2639882, -5279747, -7919610, -10559471?\n\"Answer: m**2 - 2639868*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 104989 is divided by 410.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 2*t = -9. Let y = -3 - -7. Let u(i) = 3 + 3*i - y*i - 5. Determine u(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0704975 tonnes in nanograms?\nAnswer: 70497500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -11095*j + 56 = 4*n - 11099*j, -2*j + 98 = 5*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000557247012 to 6 decimal places.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 4, n: 3, b: 5}. Give prob of picking 1 n and 3 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1021958.697+-0.07\nAnswer: 1021958.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 7*d**2 + 6*d - 48. Does 11 divide z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -1 - 2*y - 7*y - y**2 + 9*y. Let q(s) = -18*s**4 + 2*s**2 + 26*s + 2. Let r(f) = 2*b(f) + q(f). Find the second derivative of r(x) wrt x.\nAnswer: -216*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1400, 3006, 4612, 6218, 7824?\nAnswer: 9430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 3*u**2 - 13*u + 31. Determine p(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 2, -2.7298, -34, 0.3 in descending order.\nAnswer: 2, 0.3, -0.1, -2.7298, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 27\/34045 and -31\/29210610.\nAnswer: 29210610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*p - 7 - 3*p + 2*p + 7*p - 48 + 48 + (-4 + 4 + 2)*(1 - 1 - 2*p) - 4*p + 6*p - 4*p.\nAnswer: 2*p - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/(-9)*1*-9. Suppose 3*k - 31 = -o*r + 11, -5*k = r - 66. Suppose 5*s - 5*n = 45, 2*s - 5*n - 37 + k = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in seven eighths of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 7455\/(-14)*-3 + 57\/(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = 4*v + 16, -2*r - 4*v = -0*r + 12. Let w be (-4)\/r*6\/6. Find the first derivative of -3*g**w + 5 + 0*g**2 - 6 wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/6 equal to -1644.91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 68\/3*r + 720 - 2\/3*r**2.\nAnswer: -2*(r - 54)*(r + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 1293*u - 6 = 1292*u, 3*u = -214*g - 428 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = 5*j - 25. Let s be 22\/j + (-4)\/10. Let h(c) = -c + 4. Let r(w) = 8 + 1277*w + 3 - 1279*w - 2. Calculate s*r(n) - 9*h(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2 + (1 + -1)\/(-1) - 0. Put -12, -2, -1, v in increasing order.\nAnswer: -12, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 633427*a**3*x + 50*a**2*x + a**2 - 181*a*x - 115*a - 15*x + 1 wrt a.\nAnswer: 3800562*a*x + 100*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 176 + -179. Which is greater: m or -35?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3921333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be 35\/(-30) - 4\/(-6). Let n be (-1)\/(2 - 2 - -1). Is n less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, q: 10, d: 1, k: 3, t: 4}. What is prob of picking 2 t?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 6539, 52277, 176425, 418187, 816767, 1411369, 2241197?\n\"Answer: 6534*r**3 + r**2 - 3*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(153) + 4.\nAnswer: -3*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in -473, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g\/g**(5\/11)*g*g))\/g**40 assuming g is positive.\nAnswer: g**(-457\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:17 AM and 8:26 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 6:40 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -75 + 79. What is the remainder when 42 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.02471, 3, 0.1?\nAnswer: -0.02471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3\/4, 1038, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 541*d**2*v**2 - 1452314*d**2 - 5*d*v**2 + 5*d*v wrt v?\nAnswer: 1082*d**2*v - 10*d*v + 5*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 + 38*v**2 - 80*v - 2. Let y be r(-40). Sort -5, -153, 4, y in descending order.\nAnswer: 4, y, -5, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3744161\/84 + 44574. What is the common denominator of r and 53\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -221 + 223. Let d(s) = 5*s + 1. Give d(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 50\/32637 and 68\/4257.\nAnswer: 97911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*s + 2*s**4 - 2*s + 635*s**3 - 635*s**3 + 23*s**4 + (4 - 4 + s)*(-2*s**3 - s**2 + s**2) - 2*s**4 + 0*s + 0*s.\nAnswer: 21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 31*h + 1411 - 2465 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-24)*28\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2562*h**2*i**3*n**2 + 3*h**2*i**2*n**2 + 2452*h - 2*i**3*n - 2*i**2*n**2 wrt h.\nAnswer: -5124*i**3*n**2 + 6*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(135) - -6*(sqrt(135) + -2*sqrt(135) - sqrt(135)))\/(sqrt(9)*1*4))\/(-1*5*(-2*sqrt(245) + sqrt(245))).\nAnswer: -11*sqrt(3)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1093357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 144 - 39. Find the common denominator of -103\/70 and (618\/f)\/(1 - 9).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 2*s - 2. Suppose -3*j + 4*j - 52 = 0. Suppose -j + 20 = -4*k. Let c(w) be the first derivative of -3*w**2 + 5*w + 1. Calculate k*f(q) + 3*c(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 2*t + 3*t - 1 = 0, -2 = 2*d - 4*t. Let k(p) = 0*p - p**2 - p - 5*p**2. Let j be k(d). Sort j, 2\/7, -4.\nAnswer: j, -4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 - 2. Let o = -0.79 - 0.21. What is the closest to -0.2 in o, b, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16133 rounded to the nearest 100?\nAnswer: -16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0 * 1.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, r: 1, c: 1, b: 1, l: 2, n: 1}. What is prob of sequence lc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -10*a - 108. Let x be b(0). Let w = x + 207. What is the greatest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -134 (base 5) in base 6?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13273?\nAnswer: 13, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/9 + 80\/45. Suppose 26 = 3*l - j*s - 1, -49 = -5*l + 2*s. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-5\/8)*y**(-2\/19) assuming y is positive.\nAnswer: y**(-111\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 100111010001100100 (base 2) to base 7\nAnswer: 1240001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-2869)\/(-9) + 38\/171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 18\/24 + (-42)\/(-8). Let v(y) = 21*y + 17. Let j(k) = 10*k + 8. Let b(o) = -7*j(o) + 3*v(o). Let l(g) = 4*g + 3. Give x*b(z) + 10*l(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6 and 315.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w = 10*q - 7*q - 6, 4*w - 8 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 76602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*p + 13*p = -4*b - 2423, -1821 = 3*b + 5*p. Are -602 and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 AM and 9:14 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 995\/662 + -1\/331. Let p = 48788202\/11 + -4438753. Let g = p + 3466. Find the common denominator of s and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -191 + 133. Round d to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8801 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1236234 a multiple of 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 58361150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 2*f - 618, -3*f - 23 = 4*t - 936. Let b = 310 - f. Solve -2*k = 3*r, 0 = b*k - r + 6*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.316 + 0.416. Let f = 144.7 - 145. Which is the nearest to 0.1? (a) 5\/3 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/p**(-4)*p*p*p\/(p*p\/(p*p\/(p**10\/p))) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 721404 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-47)\/((-1833)\/(-585))*(-5)\/35.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 477\/1480 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 3*q**2 + 199*q + 577. Determine u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 + 20. Let r be (18\/9)\/(4\/(-14)). Let a be ((-1568)\/(-64))\/(2 + r\/4). What is the highest common divisor of l and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 209015813 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -273*s + 133 + 137 - 270 to h + u*s and give u.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 1815*n**5 + 17105*n**4 - 59190*n**3 - 35100*n**2 + 24840*n + 12960 = 0 for n.\nAnswer: -12, -6\/11, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 23900528, 23900537, 23900546, 23900555, 23900564?\n\"Answer: 9*s + 23900519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (0 - (1 + (3 - 3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11 + -6. Suppose 3 = o + s, -2*o + 5 + 10 = k*s. Solve -4*b + 10 = -2*j, -2*j + o*b - 3*b = -11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -368*j**2*n**2 + 25*j**2*n - 67*j**2 + 15*j*n - 148*j + 308200*n**2 + 2*n wrt n.\nAnswer: -736*j**2 + 616400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 4*o + 31 = -140, 5*o - 30 = 0. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1033 divided by -6?\nAnswer: 1033\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, d: 1, m: 1, v: 1}. What is prob of sequence ydy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(152) - sqrt(152) - sqrt(152))*1)\/(sqrt(288) + sqrt(288)*2 + sqrt(288)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l*l**3*l))**20*l**(-4\/3)\/l*l**(1\/6) assuming l is positive.\nAnswer: l**(-613\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2*s)*(2*s + 0*s + s)*(0*s**3 + 2*s**3 + 6*s**3).\nAnswer: 48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2328 and 27270483?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*i + 3*l - 13, -3*i - 2*l + 14 = 37 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2043*m = -2380*m + 2123*m - 2586*m - 205212 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - 66?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 163887622 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 113262*v + 3*v**3 - 56634*v - 44*v**2 - 2 + v**3 - 56630*v to c + d*v**3 + g*v + b*v**2 and give b.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be 94\/5 - (-2 - (-36)\/20). Let g = 578 + -260. Let j = g - 147. Calculate the highest common divisor of m and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -7*v**3 + 11*v**2 + 6*v - 6. Let c(n) = -13*n**3 + 21*n**2 + 12*n - 11. Let t(r) = -6*c(r) + 11*s(r). Suppose 18 = -p + 4*p. What is t(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-209)\/77 - (-4 + 1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 22 = 92. Suppose 29 = -r + t. Find the second derivative of 9*k - 11*k - 8*k + r*k**3 wrt k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5968.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 64 and 536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**3 + 40*i**2 - 177*i + 124. Give q(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 divided by -860067.\nAnswer: -28\/860067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 407*n - 798 = 464*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4349.97 - -4350. What is the smallest value in o, 22, 13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 263*y - 7809. Determine x(30).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-28 + 27)\/(1*-1 - -2). Let b be (-2 + j)*1*-5. What is the greatest common factor of 30 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**2\/9 + 2718838*m\/9 + 906280\/3.\nAnswer: -2*(m - 1359420)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-2\/9)\/o*(o**15*o)\/o)\/(o*o**(-1\/15)*o*(o\/(o*o**(1\/3)*o))\/o))**(22\/7) assuming o is positive.\nAnswer: o**(14036\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Solve -20 = 5*m - 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 53 = -12*c + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 5427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 0 + (0 + sqrt(684))**2 + sqrt(684).\nAnswer: 6*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (36\/24)\/((-3)\/(-8)). Suppose 3*g - 7*g = -4*u - 200, -m*u + 5*g = 201. Let k = u - -102. What is the remainder when k is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 189144 and 36.\nAnswer: 189144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -39 - -3 - (67 - 6).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 3*j = -10, j + 4*j = 2*w - 4. Let n be ((-1)\/2)\/(1\/(-4)). Let g be 10\/4 + n\/(-4). Solve g*i = 3*o + 1, 0 = 3*o - w*o - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3)\/(-2))\/(78\/8). Let w = -143 - -143.1. What is the closest to 1 in -1, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -118 - -28.9126?\nAnswer: -89.0874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 184\/161049 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Express 15414 - 7709 - 7655 - 13*u as p + r*u and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2862 or 11.36?\nAnswer: 11.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 129396489 to the nearest integer?\nAnswer: 11375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15\/(-2) + (-8778)\/(-2508).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**2 - 10*d + 13. Suppose 4*t + 4 = 40. Let m be h(t). Sort m, -3, 3 in decreasing order.\nAnswer: m, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**4 - 108*x**3 - 224*x**2.\nAnswer: 2*x**2*(x - 56)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q + 25. Let i be m(26). Which is smaller: -1\/6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 306 - 3368\/11. Let r = -1\/19 - -65\/152. Suppose 128*b = 46*b - 371 + 43. Put w, b, 5, r in increasing order.\nAnswer: b, w, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*h + 4*n + 24, -h + 65*n = 70*n + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 639 minutes after 3:59 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes before 12:10 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -3\/4 (b) -259\/19 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.14+84\nAnswer: 83.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 278669 is divided by 6787.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-18 - (-4 - (8 - (-1 + 5 + -6)))) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + 3)\/((-2)\/(2\/(-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*a**3\/8 + 219*a**2\/8 - 4305*a\/8 + 11025\/8 = 0. What is a?\nAnswer: 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-4)\/(-13))\/(102\/221). Factor -4*k**3 - 4*k + 22\/3*k**2 + u*k**4 + 0.\nAnswer: 2*k*(k - 3)*(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 80158 (base 13) to base 7\nAnswer: 1641565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3, 0.5, 1\/3, -2\/37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 - 2*y)*(-13*y**2 + 15*y**2 + 3*y**2 + 1) - 3*y + 3*y - 3*y**3 in the form v*y**2 + b + f*y + l*y**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 713790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.3 and 1010613438980.\nAnswer: 1010613438980.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -980*z = -1854*z + 781*z + 578*z + 24250 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, b: 1, r: 1, c: 1, g: 1}. Give prob of sequence yc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1343 - 3?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find s such that 2*s**4\/5 + 7434*s**3\/5 - 1280408*s**2\/5 + 2531064*s\/5 = 0.\nAnswer: -3882, 0, 2, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -67 (base 16) to base 11.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 129694320 take away -17966.1?\nAnswer: 129712286.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-78)\/143*44\/96*-3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 228952347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 12*d**2. Let l(z) = 6*z. Let y = -367 - -368. Let g(b) = -b. Let i(f) = y*l(f) + 4*g(f). Give i(q(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 6*r**2 + 21*r. Let z(x) = -x. Let j(a) = -d(a) - 18*z(a). What is the second derivative of j(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2980*b**2*z**5 + 65*b**2*z**2 - 4*b**2 + 5*b*z**2 + 2*b*z + 363*z**5 + 40*z**2 wrt z.\nAnswer: -178800*b**2*z**2 + 21780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(2*sqrt(180) + -2 - (-1 + sqrt(180) - sqrt(180))*5))**2.\nAnswer: 72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -97660*v + 201. Is a(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:19 PM and 7:32 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 3*v**3 - 4*v**2 + 5*v - 3. Let h be -1 + (-18)\/4*12\/(-18). Let d be o(h). Suppose d*f - 21*f + 1212 = 0. What are the prime factors of f?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*n**2 - 72*n**3 - 9*n**2 - n**2.\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-152*s**3 + 1922*s**3 - 149*s**3)*(0 - 3 + 0) + (2 - 2 - 2*s)*(s**2 + 2*s**2 - s**2) + 2 + 2*s**3 - 2.\nAnswer: -4865*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 35853511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 581311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 18 - 35 = -4*j, 4*f - 34 = j. Let r be ((-12)\/9)\/(6\/f). Let z be (-18)\/(-27)*r\/(-6). Which is the nearest to -0.1? (a) z (b) -4\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 6*d + 8. Let h(y) = 4*y + 5. Suppose 5*r + 0*r = -3*j - 19, 0 = 4*j - 8. Let k(n) = r*a(n) + 8*h(n). Let u(v) = v. Give k(u(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*m + 0*m + 228 = 17*l, m = 7*l - 12*l + 64 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5640 and 1063133655?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -12? (a) 1\/13 (b) 1 (c) -2\/5 (d) -0.396 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.6 - 0.4. Let p(z) = -z**3 - 6*z**2 - 5*z - 2. Let q be p(-5). Which is the third smallest value? (a) 10 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -912*v = -876*v + 576 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000044106 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 PM and 11:18 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 - 9*i**2 + 2*i + 2. Let c be u(6). Let p = c + 185. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6403486 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16 - 2 - (407 - 419)) + 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((-43)\/(688\/(-240)))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*q**5\/8 - 27*q**4\/8 + 9*q**3\/2 + 3*q**2\/2 = 0 for q.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 641693900?\nAnswer: 2, 5, 17, 109, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add -154 and 44571.\nAnswer: 44417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.048 and 1?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**3 - 33*g**2 + 16*g - 136. Give b(31).\nAnswer: -1562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 3*m**2 + 4*m**2 + 9 - m**3 + 3*m**2 - 11*m. Let d be r(7). Suppose 4*x + g - 127 = 0, 3*x + 4*g - d = -0*g. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/(-16) + 1\/4*-10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -918*u**2 + 2*u - 595?\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a + 4*i - 15, 3*i + 4 = 5*a + 14. Put -3, -2, a in increasing order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1524 times 7.8841?\nAnswer: 12015.3684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 4 = b, -5*b + 4*a + 10 = -0*b. Solve u - b = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {o: 1, k: 2, x: 14}?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 138*z + 4944 = -274*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 0 + 3*v + 0*v + 9. Let k be i(-3). Which is the closest to k? (a) 3 (b) -2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -10\/11, 11, 2\/57?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/z**7*z**12*z**(-13)\/(z\/(z*z**3*z)) assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -386, -791, -1222, -1691, -2210, -2791, -3446, -4187?\nAnswer: -5026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 20620, 20614, 20594, 20554, 20488, 20390, 20254?\n\"Answer: -z**3 - z**2 + 4*z + 20618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -729 = -5*v - 124. Suppose -5*r + 2*j = -v, -j - 119 = -5*r + 2*j. Suppose -3*h - 5*x = -72 - 8, -2*x + r = h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a = 7*a - 186495. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -89.77, 0, 4\/10723?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16 - 9744\/612)\/((-8)\/(-6)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is one sixteenth of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(931) + -1 + sqrt(931) + 1)**2*5*4 + -5.\nAnswer: 74476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*g - 44 + 8. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -289 - -544. Calculate the remainder when b is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**2 - 10*u - 6. Let o be l(-9). What is the lowest common multiple of ((-45)\/10)\/(o\/(-12)) and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 151*h = -152*h - 16462, -3*h = 4*r - 13162. List the prime factors of r.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(112) + (1*(5*sqrt(112) + sqrt(112)))**2).\nAnswer: -20160 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3\/430 - 639\/860. Let w = 0.2 + 0.3. Which is the fourth smallest value? (a) w (b) 0.005 (c) -5\/3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -125 + 51. What are the prime factors of (-4)\/16 - r\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1526.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 2\/11, 1, -68, -0.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3432377 (base 12) to base 4.\nAnswer: 212032022023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((p\/p**10)\/(p*(p**(5\/2)*p)\/p))**(-33))**(1\/18))**(-17) assuming p is positive.\nAnswer: p**(-4675\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5*c*l**3*p**2 + 5*c*l*p - 5*l**3*p**2 + 2*l*p**2 + l*p wrt c?\nAnswer: 5*l**3*p**2 + 5*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2d + 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {h: 1, n: 1, w: 2, m: 3, q: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 6:16 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 4*o = 9 - 21, 15 = 2*x + o. Let k = -6 + x. What is the least common multiple of 5 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1040*c - 44334 + 1320 = -7654 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 23382 or 303956\/13?\nAnswer: 303956\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 118*j**2 - 4*j - 2. Let n be l(4). Suppose 0 = 3*a - 6230 - n. Round a to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 7737488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 225770745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -6*i + 261. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -103818761\nAnswer: 3\/103818761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -7*v**5 - 381743*v**4 - 272654*v**3 + 872540*v**2 - 218136*v = 0.\nAnswer: -54534, -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -179, -411, -801, -1343, -2031, -2859, -3821, -4911?\n\"Answer: r**3 - 85*r**2 + 16*r - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3*(27*84\/(-630))\/(6\/15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -a - a - 4 - 3 + (2 - 2 - 2*a)*(-3 + 5 + 0).\nAnswer: -6*a - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -2884723*r + 11492. Let i be m(4). Round i to the nearest 100000.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -383816*v - 237678*v - 8618*v.\nAnswer: -630112*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 131 is divided by (-2487)\/(-21) - (-80)\/140.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, y: 1, g: 1, d: 2}. Give prob of sequence odg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(140)\/(sqrt(35)\/sqrt(5)))\/(sqrt(10) - sqrt(1500)\/sqrt(6)))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2*v - 2 + (-2 - 3 + 3)*(2*v + 4 - 4) - 4 - 2*v + 4)*(3 - 1 - 3).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50 - -67954.\nAnswer: 68004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, m: 1, b: 1, s: 1, z: 1, p: 1}. Give prob of picking 1 m, 1 p, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the second derivative of 0 - 3*d - 1\/30*d**6 - 11\/36*d**4 + 11\/60*d**5 + 1\/3*d**2 + 1\/18*d**3. Suppose x(t) = 0. What is t?\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a + 3, 34*a - 31*a = q - 5. Suppose 17 = -5*s - 2*z, -2*z - q = 3*s - s. Put -4, s, 11, 1 in increasing order.\nAnswer: -4, s, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68011.\nAnswer: 23, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -18 + -250?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 4) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -65*w - 9. Let p be m(-1). What is the greatest common divisor of 32 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -4*w**2 + 5232*w - 1710864 = 0.\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 3 v when four letters picked without replacement from {q: 3, v: 6, k: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -8*p**2. Let q(o) = 218*o. Calculate c(q(y)).\nAnswer: -380192*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -1 - (-2 - (-28)\/3*-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 divided by -324329\nAnswer: -6\/324329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6751 and 30444.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (15 - (44 + -7)) + 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.21*-1.21\nAnswer: 0.2541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, -1\/19, 2.6?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 53 (base 11) to base 16.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -12, 2 in increasing order.\nAnswer: -12, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m + 9. Let o be k(-12). Let v = o + -15. Let x be 40\/v + 3\/9. What is the highest common divisor of x and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 288907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -92191149 and -0.724?\nAnswer: 92191148.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 462 + -400 - (17 + 111)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**3 + 4*p**2 - p - 3. Let d = -10 - -13. Determine c(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 7*o = -31, -4*t + 1552*o - 1551*o = -75. Suppose -m = -2*m. What is the nearest to m in 0, -1\/4, 0.2, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -21*l. Let i(o) = -58*o + 90. Let u(z) = 33*z - 50. Let k(d) = 5*i(d) + 9*u(d). Determine a(k(x)).\nAnswer: -147*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be 82\/(-42) + 2\/7. Let t = -1.96 - 0.04. What is the nearest to 1\/4 in m, 1\/6, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -48 and 27?\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -27302*r + 27293. Determine n(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3 and -154.139.\nAnswer: 46.2417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 - 6*w**2 - 2*w + 9. Let h be z(6). Which is the third biggest value? (a) -1 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**3 - 25*m**2 + 85*m - 96. Determine w(-20).\nAnswer: -3796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 194*n = 195*n + 151*p + 448, 0 = n - 5*p - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 2*w - 42 = -6*w, 3*w = 5*c - 144. Suppose -2*q - 21 = 11. Let t = q + c. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**2 - 2*n - 2. Let t be h(-2). Let v = t - 4. Let c = v + 61. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 9\/((-405)\/10) + 50\/(-18). Let z be 2*4*6\/72. Let l(p) = p**3 + 4*p**2 - 6*p - 3. Let v be l(-5). Which is the closest to v? (a) z (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -15 + -93?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 + 1 = -3*i. Let q = -8 + i. Solve q = -5*a + 4 + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.61 - 0.533. Let n = o + 0.088. Let u = 4.285 + n. What is u rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*l**4 + 2 - 3*l**4 - 2*l + 10*l**4 to the form v + u*l**3 + a*l + k*l**2 + p*l**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -4*i + 40, -i - 2*i = 3*h - 27. Solve -2*v + c = 7, 5*c - 9*c - h = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 196.7 - 201.7. Which is the second biggest value? (a) y (b) 3 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qzz when three letters picked without replacement from zqqqzqqqzqqq?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**3 - 11*v**2 + 51*v - 453. What is i(10)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 208\/9, 0, -1, -3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.012 + 0.088. Let h = 0.08 - -4.92. Which is the closest to g? (a) 3 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -138 + 123. Is h less than -46\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 223 - 151. What is the greatest common divisor of r and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -21*w. Let f(h) = h - 549550. What is f(r(g))?\nAnswer: -21*g - 549550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 56, 52, 48?\n\"Answer: -4*o + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 3335806.37 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**0)**42)**(-31)\/((o**0)**48\/((o*o\/o**(-3\/4))\/(o*o\/(o**(-3)\/o)))) assuming o is positive.\nAnswer: o**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -4199*i**2 + 16*i + 4263*i**2 + 4 - 3 = 0.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -3*o**3 - o**2 - o + 1. Let h(f) = -9*f**3 - 3*f**2 - 3*f + 2. Calculate -2*h(b) + 7*x(b).\nAnswer: -3*b**3 - b**2 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-9)*(181584\/3007)\/(-104)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-8)*-4*30\/200*44\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 188\/15 + -43\/3. Let k = 49\/30 + d. Find the common denominator of k and 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) 0.28 (c) 7137530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(126) - (sqrt(126)*2 + sqrt(126)))*-4)\/((2*sqrt(90))\/sqrt(10)))\/(sqrt(252) + 2*sqrt(252) + sqrt(252) + sqrt(252) - sqrt(63)\/sqrt(9)*-1).\nAnswer: 4*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.334 - -1.096. Let c = -2.425 + t. Round c to 2 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1780 - 76?\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 7972893 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, v: 3, c: 1, j: 1, e: 4, b: 1}. What is prob of picking 1 j, 1 e, and 1 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -q - u, -5*u - 1 = 3*q + 11. Let b = -4 + 5. Put q, 2, b in ascending order.\nAnswer: q, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the third derivative of -9*y**6\/40 + y**5\/20 + y**4\/3 + y**2 - 15. What is the tens digit of k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9914974 minus -179?\nAnswer: 9915153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (2 + -1)*-13 - (6600\/225 + -30)\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the second derivative of -3\/100*g**5 - 25*g + 3\/2*g**2 + 0 + 9\/10*g**3 + 3\/20*g**4. Factor m(i).\nAnswer: -3*(i - 5)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**3 + 25*j**2 - 52*j + 214. Calculate g(23).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*t**2 + 4*t**3 - 20*t**5 - t**2 - 18*t**3 - 38*t**4 + 6*t**5 - 2*t**3 = 0. What is t?\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.34627928325 + -895.4.\nAnswer: -895.74627928325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 256473 and 925533.\nAnswer: 21287259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 55574363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 15161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 388069 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 2\/17, 12, -3, -11\/5 in increasing order.\nAnswer: -3, -11\/5, 2\/17, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**2 + 18*l + 35. Let q be j(-15). Suppose -6 - 10 = -4*c. Sort c, q, 0.\nAnswer: q, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 7*t**2 + 2*t - 7. Let w(n) = -5*n**2 - 2*n + 6. Let z(a) = -5*r(a) - 6*w(a). Suppose 0 = -i - 5*f + 7, 0 = 4*i - 5*f + 4*f - 7. Calculate z(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 4*n**3 - 4*n**2 + 3*n + 10. Let j(x) = x**3 - x**2 + x + 3. Let i(t) = -3*j(t) + r(t). Give i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17, -79, -213, -455, -841, -1407?\nAnswer: -2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00517255 to 4 decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -92449 plus 0.164?\nAnswer: -92448.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 2*f - 10 = -0*g, -3*g + 9 = -f. Suppose g*s + 16 = -0*s. Let z(q) = q**3 - 9*q**2 - 1. Let a be z(9). Sort -3, a, s in ascending order.\nAnswer: s, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 220*h + 41*h + 87702 - 78045 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 427*i**2 + 26*i + 316. List the prime factors of q(-7).\nAnswer: 3, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 793437 is divided by 1102.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19299 = 24*g + 2019. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -8 + 17 + 1 + -8 + 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00312695003 rounded to 6 decimal places?\nAnswer: -0.003127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -120427 - 1\nAnswer: -120428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 171, -3, 0.3, -0.4, -298?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/(-27))\/(4\/(-10)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*u + 27 - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30, -18, 10, 60, 138?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-36)\/90)\/(5\/(25\/(-3))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 10015696.9 rounded to the nearest 1000?\nAnswer: 10016000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/4, -3\/2, -2, 78480 in descending order.\nAnswer: 78480, -5\/4, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -3*w**2 + 6. Let q(x) = 7*x**2 - x - 13. Let g(l) = 5*j(l) + 2*q(l). Suppose 0*v = -2*v + 8. Suppose -8 - 4 = v*i. Determine g(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 16 + -10. Let s = 6 - m. Let r = -0.0022 + s. What is r rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate o**3*w**2 - o**3 + 73*o**2 - 90*o - 11995500*w**2 + 145 with respect to w.\nAnswer: 2*o**3*w - 23991000*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1434, -1417, -1396, -1371, -1342?\n\"Answer: 2*u**2 + 11*u - 1447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-15630587)\/(-15) + (-2)\/1. Let j = 1041665 - r. Let o = j + 372. Which is the nearest to 1? (a) o (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w. Let q(f) = f**3 - 7*f + 66. Let k(a) = -6*n(a) + q(a). Suppose 0 = -4*t + t + 3, t = -4*s + 1. Does 22 divide k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12943\/5967 - 7\/459. Which is bigger: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -34238, -68577, -102918, -137261, -171606, -205953, -240302?\n\"Answer: -s**2 - 34336*s + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 1 + sqrt(5) + -5 + sqrt(5) + sqrt(10)\/sqrt(2) + -2)**2.\nAnswer: -12*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 149147006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 133, 230, 327?\n\"Answer: 97*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 260083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 468\/(-33) - 5 - 60\/(-330)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54 - (3 + 23)) + -48?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**3 + 40432*u**2 - 363785*u - 889306.\nAnswer: -(u - 40423)*(u - 11)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 8*j + 43. Let d be (20\/45)\/(j\/(-18)). Suppose 0 = 7*k - 2*k + 2*z - 37, -z = 4*k - 32. Put d, k, -4 in ascending order.\nAnswer: -4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 + -1)\/((-9)\/6). Let s(x) = 3*x + 0*x**2 + x**2 + 0*x**k + 3. Suppose -25 = 5*t - 10. Let p(z) = -z**2 - 2*z - 2. Determine t*p(o) - 2*s(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5.467 - -5.367. Sort -5\/4, -0.2, d, 5, 1 in descending order.\nAnswer: 5, 1, d, -0.2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 276\/20 + (-5)\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(363) + -4 - ((sqrt(363) - sqrt(363)*4) + -1))*-3)**2 + 4.\nAnswer: -3960*sqrt(3) + 52501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nmnnvnvvkvnx. What is prob of sequence nvn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 14*i**3 + 2*i**2 - 7*i - 7. What is j(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-92)\/28 + 3)*(-966)\/1242.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 181 and 1648367?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 30 = -4*u, 3*y - 37 = -3*u - 7. Let p(r) = -3*r + 5. Let c(t) = -5*t + 3. Let f(x) = x. Let a(m) = -2*c(m) - 6*f(m). Determine y*a(g) + 6*p(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 26798599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**3 - 5*n**2 + 2. Let t be c(-5). Let w = 193 + -128. What are the prime factors of 1\/t - w\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + t + 1952 = 0, 4*t = 3*t - 4. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the third derivative of w**7\/5040 + 7*w**5\/60 + 3*w**2. Let p(j) be the third derivative of u(j). Let l(x) = -5*x**2. What is p(l(d))?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*t + 828 = -2844. Is t a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-166 - -170)*7\/(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.568 times 0.4?\nAnswer: 0.2272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - 102120?\nAnswer: -102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 2*s = -14, 2*o - 28 + 8 = -4*s. Suppose -10 = -2*v, -5*c - 2*v + 1 = o. What is the units digit of (4\/c)\/(2\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (22\/12 - (-92)\/(-69))*-16. Let g(t) = -t**2 - 2*t + 10. Calculate g(k).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6111963 to the nearest integer?\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be 9\/(-27) + 241\/3. Calculate the greatest common factor of j and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - -45189471174226?\nAnswer: 45189471174218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 5, -14, -4, 0, 4, 64.\nAnswer: -14, -6, -4, 0, 4, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) -3 (c) 54 (d) -3\/4 (e) 1 (f) 9\/2 (g) 4\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 674 = -744 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -9904 divided by -2476\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -27*b**2 + 40*b + 389. What is y(-8)?\nAnswer: -1659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 3*u = 13, -3*w - 4*u + 238 = 260. Suppose 4*b - 3*t - 4 = -2*t, 5 = 5*b + 4*t. Let g = -3 - b. Sort g, w, 1 in descending order.\nAnswer: w, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 621 or 387?\nAnswer: 621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 189*j**2 - 2265*j - 148. What is i(12)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3859 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 90\/(-495) + (-128)\/22 + 91373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4350483 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -71 - -138. Suppose 0*k + q = 4*k - i, -k - 5*i = -1. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -26*g**2 + 4*g - 3. Let n be 30843\/(-8046) - (0 + (-1)\/(-6)). Let q(p) = -p + 1. What is n*q(j) - i(j)?\nAnswer: 26*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((-2*(sqrt(98) + -2) - (sqrt(98) - -2*(0 + sqrt(98) - sqrt(98) - sqrt(98))))*-6)**2 + -2.\nAnswer: -2016*sqrt(2) + 4099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -223 (base 7) to base 8.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**3 - 7*g**2 + 9. Give t(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve n = 4*i + 6, -2*i + 5 + 1 = 4*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 142047110 - 2?\nAnswer: 142047106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 81*n**2 + 5*n - 6. Does 10 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes after 3:53 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w + 192 = -0*w + 220, 50 = 4*s + 3*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -126*q**2. Let t(d) be the second derivative of d**3\/2 - 4*d - 7. Calculate v(t(y)).\nAnswer: -1134*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*s**3 + 2 + s**3 - s - s**3 + 2 to x + q*s + d*s**3 + u*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (7*k**2 + k**2 + 2*k - 18*k**2)*(3 + k - 5 + 5)*(-103*k + 0 + 109*k + 13) as c*k + b*k**4 + q*k**2 + m*k**3 + s and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.1 (b) 1\/2 (c) -3 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*u + 2*u + u**2)*(-468105 - 3013*u + 468105) as x*u**2 + j*u + s + l*u**3 and give l.\nAnswer: -3013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -21\/6464672 and 39\/32.\nAnswer: 6464672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -2*c + 8 + 16 + c. Let v(x) = -3*x**3 + 2*x**2 + 3*x - 7. Let n be v(2). What is the remainder when 162 is divided by m(n)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 43, 98, 179, 280, 395?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/l**(3\/4))\/((l*l**(2\/11)*l*l)\/l)*l**10*l**(-4\/5))**9 assuming l is positive.\nAnswer: l**(14391\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 19 + -14. Suppose 5*q - s*g - 280 = 0, g + 30 + 80 = 2*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 252 + -269. Let r(g) = 5*g + 85. Give r(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -248a - -1205?\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 4409, 4103, 3709, 3227, 2657, 1999?\n\"Answer: -44*x**2 - 174*x + 4627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**2 - 27*f - 19. Let l be z(-26). Is ((-14386)\/4)\/(l + 15\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11 - -5. Let d(z) be the third derivative of z**5\/20 + z**4\/3 - 3*z**2 + 7181. Let q(i) = 3*i**2 + 7*i. Give g*d(f) + 7*q(f).\nAnswer: 3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.77 - 0.03. Let z = 1.2 - o. Which is the nearest to -2? (a) 2 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5\/10 - 14\/4. Calculate the common denominator of -65\/8 and -6*(-34)\/(-27)*r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -3*w**4 - 5*w - 5. Let l(o) = -o. Let m(g) = 5*l(g) - t(g). What is the first derivative of m(k) wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.284, 2, 2\/47?\nAnswer: -0.284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 43 = -4*h + 145, -2*h - v = -44. Suppose -2 = -h*k - 278. Let a(o) = -o**3 - 11*o**2 + 12*o - 1. Give a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*z - 8109 + 8829 = 23*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 18\/17 in 2, 1\/6, 0.1, -22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3968 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (2*g - 7*g + 3*g)*(-2*g + 3 - 3) - 4*g**2 + 7*g**2 + g**2 + (4*g - 4*g - 2*g**2)*(-1 + 4 - 1) as m*g**2 + f*g + t and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1115 - -2746?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (16\/((-192)\/18))\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 1 = -4*w - 1, -4*w = -2*o + 8. Suppose 3 = o*d - d. Is d >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:27 AM and 4:13 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4 - 6*2\/(-2). Let y(t) = -2*t**3 - 34*t**2 - 17*t - 119. Let a be y(-17). What is the highest common divisor of p and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4059 - 4020. Calculate the lowest common multiple of i and 618.\nAnswer: 8034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (1 - -6) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (252\/(-14))\/(-108)*(-243)\/(-1)*25\/(-75)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3024 and 432.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-1 + 4*(sqrt(17) + sqrt(17) + (-1*sqrt(17) - sqrt(17))))*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17510164.\nAnswer: 2, 7, 31, 20173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 15056913 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, 10070\/31 in decreasing order.\nAnswer: 10070\/31, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be (533\/52 - 10)*(-82)\/(-3) + -6. Let w(p) be the first derivative of -9 + 4\/9*p**3 - 1\/12*p**4 + 2\/3*p - k*p**2. Let w(j) = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 547838 by -2.\nAnswer: -273919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 16056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2449226232 rounded to the nearest 1000000?\nAnswer: -2449000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 10:38 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 54589515 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kckpovi. What is prob of sequence pk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*z**3 + 60243*z**2 + 782688*z + 722448.\nAnswer: 3*(z + 1)*(z + 12)*(z + 20068)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27\/3 + 18 + (-3401)\/190 + 28898\/(-3180)?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - 1c?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/8, 3\/59, 44 in descending order.\nAnswer: 44, 3\/59, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 223*x - 261*x - 38 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) + -3*sqrt(1088) + sqrt(17) - (sqrt(17) + (-1 + sqrt(17) + 2 + sqrt(17))**2)) + (sqrt(17)*1 + -1 - sqrt(2057)*6).\nAnswer: -92*sqrt(17) - 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -219 + 478. Let l = y - 173. Put l, -1\/4, 3 in decreasing order.\nAnswer: l, 3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2491035 divided by -10.\nAnswer: 498207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3404638*p**5 - p - 2548959?\nAnswer: 68092760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 2507 divide 14569925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3761105\/174483 - 3\/19387. Is 21 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hs when two letters picked without replacement from {h: 3, e: 3, i: 4, s: 7, w: 2}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**2 - 10*b - 34. Let g be i(-3). Put 1, 9, 2, g in decreasing order.\nAnswer: 9, g, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 4060*g + 1473797. Give u(-363).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -92.3 + 92. Let v be (4\/(-56))\/(1\/(-2)). What is the nearest to -1 in c, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5900 + -5880. What is the remainder when 477 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/3 + (2\/1 - -5). Suppose -n*a = -a + 4*b - 120, -4*a - 4*b + 96 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-749)\/(-35) + (-2)\/5. Suppose 0 = 5*a - 109 - i. Let g = -18 + a. What is the smallest common multiple of g and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-40)\/(-6))\/(-4)*12\/(-10). List the prime factors of (2444\/(-10))\/(108\/(-135))*m.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11*c**3*z**3 + c**3 + 36*z**3 + 6383*z wrt z?\nAnswer: -66*c**3*z + 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -55.2, -1 in decreasing order.\nAnswer: 4, -1, -55.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 198520 - 40836 = 310*g - 306*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -256 - -2814\/11. Which is the second biggest value? (a) 0.2 (b) m (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*w + l + 3 - 4, -3*l + 11 = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 480 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 21\/8 of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 - -15. Let c(f) = -7*f**2 - 7*f + 2. Let w(i) = -4*i**2 - 4*i + 1. What is h*w(u) - 6*c(u)?\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 3745*t**2 + 69*t. Let w(z) = -18726*z**2 - 322*z. Determine 14*g(j) + 3*w(j).\nAnswer: -3748*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.3 (c) 11 (d) 179 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6748 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 2*f + 6. Let d = 84 + -80. Let c be j(d). Let x(b) = c*b - 37*b + 15*b. Let k(w) = w. Give x(k(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 234 + -12?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 2*z**3 - 64*z**2 - 67*z + 48. Let i be u(33). Solve y = 3*k - 16, -3*y - 3 = -3*k + i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*z = 6*z + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + f + 4)*(2 + 0 - 1) + 1 - 240*f + 2 + 273*f to r*f + k and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dkt when three letters picked without replacement from vvdkvtggvtggkdkkzggg?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.3 - -0.2. What is the closest to p in -3, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 87.08577 centimeters?\nAnswer: 870857700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 1, 2, 41, 5, -53, -5 in descending order.\nAnswer: 41, 5, 2, 1, -4, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 2:00 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c. Let m(x) = -7*x. Let g = -10 - -13. Let d(r) = -50*r. Let y(w) = g*d(w) - 20*m(w). Give y(j(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 59\/((-540676)\/(-237))*8\/(-12)\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(352) - (sqrt(352)*-3 + sqrt(352) + sqrt(352)) - sqrt(22) - sqrt(22) - sqrt(22))\/(sqrt(121)\/(sqrt(33)\/sqrt(3))))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 605270723 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 4, -2 in ascending order.\nAnswer: -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1150, 1897, 2686, 3511, 4366, 5245, 6142?\nAnswer: 7051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-14)*(-19 - ((-13728)\/(-27))\/(-32)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 6, 4, 14, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of t**6 + 2238*t**4 + 14378*t**3 - 3082*t**2 - 5972*t + 3?\nAnswer: 120*t**3 + 53712*t + 86268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 219673 * -2.\nAnswer: -439346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 1. Let a(k) = -k**2 - 5*k + 9. Let m be a(-7). Let r = m + -1. Let d(f) be the second derivative of f**3\/6 - f**2 - 24*f. Give r*b(w) - 2*d(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4106*h - 5062*h + 2 - 7273*h.\nAnswer: -16441*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:14 AM and 6:31 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-1 - (-15 + (1 - 1))) + -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 145.5682 rounded to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*14.183.\nAnswer: 42.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = 16*w - 21*w - 4*n, -4*w = n + 23 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -5837b (base 12) to base 10.\nAnswer: -118031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24 and 39724557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*u - 15 - 9. Let p be 2 + -5 + 0*u\/2. Let f be p - (-3 - (2 + -2)). Solve -4*c - 12 = k + k, f = 5*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 27, -2, 183, 11, 4 in descending order.\nAnswer: 183, 27, 11, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*((-16)\/(-60))\/((-4)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9004 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 4*n = 10, -y = -6*y - 4*n + 2. Let v be 2\/(-8)*(-112)\/4. Suppose j - y = -2*i, j + v*i - 3*i = 0. Solve -3*m = -6*m + 4*x - 13, 0 = -j*x + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 427 (base 14) to base 5\nAnswer: 11234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l + 1. Let s be v(2). Suppose -2*q + 5*r = s*r - 14, 0 = -3*q - 4*r - 7. Solve 0 = -c, 3*u + 0*u + 9 = q*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*(i*i*i\/((i\/i**(-11))\/i)*i*i*i)\/i*i*i*i**(-8\/3))**27 assuming i is positive.\nAnswer: i**(-153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.8 + -2108274.\nAnswer: -2108272.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-4)*m\/(m*m**2)*m\/(m**3*m)*m*m*m**2*m*m)**(-1\/32))**(-43) assuming m is positive.\nAnswer: m**(-129\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 7824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 5*b + 20 = 0. Suppose -3*v + 20 = v. Suppose -25 = -v*a - 0*a. Solve 2*m - 7*m = 3*r + 8, -b*r - a*m = 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 7 + 5 = 0. Suppose 2*n - o*n = 7. Let j = 10 + n. What is the remainder when 4 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -121 - -129. Let o(r) = -38*r + 12. Let l be o(y). Is 11 a factor of (-9 - l) + (6 - 3 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 196 + -49. Suppose -d = -l + 4. What are the prime factors of d?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/(-54) + 8\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -2\/11, 1475, 7, 0.3 in increasing order.\nAnswer: -4, -2\/11, 0.3, 7, 1475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 10:08 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 - 11. Let n(m) be the first derivative of -3*m**4\/4 - 8*m**3\/3 - 2*m**2 - 5*m + 1. Let t be n(h). What is t rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*m - 402 + 2*m - 261 - 619.\nAnswer: -2*m - 1282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 527\/22668?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0, 84\/5 in decreasing order.\nAnswer: 84\/5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 389406.\nAnswer: 2, 3, 64901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*u + 124*u**2 + 175*u**2 - 4*u + 6*u - 287*u**2.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -10.60259599 to 3 dps.\nAnswer: -10.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 21010200 (base 3) in base 8?\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * 74\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/6, 0.5, 4, 4\/7 in ascending order.\nAnswer: 0.5, 4\/7, 5\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from jffgfffbfjgfbffuffb.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (5760\/(-489) + 9)*(-3)\/(-54) and 145\/18.\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -363, -1307, -2807, -4857, -7451, -10583, -14247, -18437?\n\"Answer: h**3 - 284*h**2 - 99*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -a + 12. Let j = a + -42\/5. Suppose -8 = -4*y - 4. Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -33 times 58?\nAnswer: -1914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 84 + -27. Calculate the remainder when k is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 10 - 4. Suppose -5*z + 5*g = -45, p*z = 6*z - 5*g - 23. Suppose -7*b - 4 = -z*b. Let q(w) = -23*w**3 - w**2 + w - 1. Calculate q(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and 249.83.\nAnswer: 124.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 302621536 by -21615824.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (((-72)\/120*10)\/(-30))\/(1\/265)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 4332 = -4*q, -7*c = -2*c + 5*q + 7220. Let n = 14547\/10 + c. What is the common denominator of (26\/6)\/(11\/(-6)) and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 25383763*k**3 + 15719035 wrt k.\nAnswer: 76151289*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 2481\/9952?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -93821 or -93551?\nAnswer: -93551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -9 + 6*w - 3*w + 9. Let h(j) = -j**2 + 4. Let c(t) = -1. Let d(z) = -15. Let o(r) = -85*c(r) + 6*d(r). Let s(g) = 5*h(g) + 4*o(g). What is s(y(m))?\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 203*b + 72*b - 506 = 22*b. Factor -1\/2*n**4 + 1\/4*n**5 + 0 + n**b + n - 3\/4*n**3.\nAnswer: n*(n - 2)**2*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1736442 (base 9) in base 2?\nAnswer: 11101100100111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8600062 to the nearest integer?\nAnswer: 2933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 17 = -4*k - 57, -3*k - 8 = q. What are the prime factors of (-32)\/(-6)*(-18)\/q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19 + -70. Let h = -43 - o. Solve -3*n - n = h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**2 - 5*q - 3. Let j = 881 - 876. Let t(b) = 2*b + 1. Calculate j*t(y) + 2*z(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2235094671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*t - 73*t + 165 = 0. Solve 0 = 19*i - t + 72 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.84 - -0.7. Let j = i + 0.140011. Round j to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77308 is divided by 256?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 PM and 12:56 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00111731292 rounded to five dps?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39767, -39152, -38131, -36704, -34871, -32632, -29987?\nAnswer: -26936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*u**3 + 0*u**3 + 2*u**3)*(1 + 0 + 1) - 2*u**3 + u**3 + 2*u**3 - 2*u + 2*u + u**3 + (3*u - 3*u - 2*u)*(6*u**2 + 3*u - 3*u))*(2*u + 0*u - 3*u).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-3 + sqrt(147)).\nAnswer: -7*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -99*v - 108*v + 631*v - 106*v - 115*v - 102*v - 102*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5 + 3 - 4)*(-o - 1 + 1) - 2*o - o + 0*o)*(-4*o**3 + o**3 + 2*o**3) - 47*o**3 + 47*o**3 + 42*o**4.\nAnswer: 39*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(-1)*(14 - 9). Suppose j*n - 18 = -t, 2*t = n - 3*n + 12. Suppose -n*h + 85 + 32 = 0. Solve -5*w - 14 + h = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 5*y - 18, 0*c = -y + c + 6. Suppose 0 = 2*l - y, -679556 = 3*v + 2*l - 52560. What is v rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1319322 and 1634?\nAnswer: 56730846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7\/(189\/6) + (-172)\/(-36). Sort 2, -6, 0, o in decreasing order.\nAnswer: o, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36580610617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(605)*1*6)\/(-1*sqrt(44)\/sqrt(4) - sqrt(11)))\/((-4*sqrt(45)*-2)\/(6*(sqrt(36) + sqrt(9)) - sqrt(9))).\nAnswer: -51*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -2*s - 15. Let t = 3 - s. Suppose 5*b = t + 60. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8337864 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*u - 14 = 7*u + b, 3*u - 21 = 2*b. Suppose -j - 4*h - 14 = -2, -4*j = 2*h + 6. Which is bigger: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b + 19*b + 0*b)*(4*b**4 - b**4 - 2*b**4) + (-b**2 + 4*b**2 + b**2)*(0*b**3 + 0*b**3 - 3*b**3) + b**5 + 0*b**5 + 0*b**5 + 2*b**5 - b**5 + 0*b**5.\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -2*v - 30. Let l(x) = 19*x**2. What is p(l(j))?\nAnswer: -38*j**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(189)\/(sqrt(3)*2) - (sqrt(63) + (sqrt(63) - sqrt(189)\/sqrt(3)) + sqrt(63))*-2)\/(3*(2*sqrt(36) - sqrt(144)*2)).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/41487138 and -157\/12334014.\nAnswer: 456358518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 132, 1, 1\/7 in increasing order.\nAnswer: 1\/7, 1, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(2816)*-2)\/(sqrt(16)\/sqrt(4)*-6) + 4*(-5 + sqrt(55)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: -760*sqrt(11)\/3 + 7649\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 0, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x - 2. Let g be c(4). Let j(f) = 8*f - 7. Let d be j(2). Solve 5*w + d = g*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:24 AM and 1:37 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 164548 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: Let k(s) = -s**2 + 4*s + 3. Let p(u) = -4*u**2 + 12*u + 9. Let d(x) = -7*k(x) + 2*p(x). Suppose 0 = -7*b + 12*b - 40. Let z be 2\/(b\/(-4)) + -3. Give d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16341 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.15*-85.\nAnswer: 12.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/85 - (-738)\/1530*15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 198 divided by 123.\nAnswer: 66\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 4, -2, -1\/4, 0.1 in increasing order.\nAnswer: -2, -1\/4, -0.1, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of -25.798 and -1029.\nAnswer: 26546.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 407881139 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24102 + 15367. Let c be (-55)\/(-30) - 2 - (-104701)\/12. Let d = v + c. Find the common denominator of -11\/18 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3762 - -18808\/5. Suppose -6*u + 2*u + 328 = 4*b, 3*b = -4*u + 330. Let y be (-4)\/(-14) - 80\/u. What is the nearest to -0.1 in t, y, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -67*d**5 + 12282*d**4 + 62*d**3 - 703393426*d**2?\nAnswer: -4020*d**2 + 294768*d + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -3*u - 13. Let k = 258 - 154. Let t = k - 114. Determine x(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 2*i**2 + 216*i + 2481. Determine r(-95).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15534, 31075, 46636, 62229, 77866, 93559, 109320, 125161?\nAnswer: 141094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 140 - 214 + 74 + 7*f**2 - 14*f + 34*f as s*f + v + c*f**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 0, -3, 190 in decreasing order.\nAnswer: 190, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 444*d**2 + 34636*d + 238. Determine m(-78).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/11, -99, 92\/3, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 154048, 308116, 462184, 616252, 770320?\n\"Answer: 154068*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(180) + 0 + -2*sqrt(180) + sqrt(180).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.4 + -1.6. Let h = 41\/90 + -5\/9. Which is the nearest to n? (a) -4 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 2:33 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 2*t**3 + t**2 - 2*t + 1. Let y be n(1). Suppose 5*m = -3*g + 35, -5*m - 3 = -g - 18. Find the second derivative of -g - j**y + 2*j + 5 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*t + 49956 + 39180 = 0. List the prime factors of t.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 3*x**2)*(0 - 2 + 16) + 2*x**2 + x - x + 4*x**2 - x**2 - x**2 + (-2 - 2 + 2)*(4*x**2 - 4*x**2 - x**2).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 585 minutes before 9:46 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m**2 - 5*m**2 + 4*m**2)*(249 - 249 - 432*m**2 - 475*m**2)*(-m + 0 + 0).\nAnswer: -2721*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 32647 times 11\nAnswer: 359117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-7 - -4 - -13) + -3 - -15\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xfmzh. Give prob of picking 1 m, 1 x, 1 f, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*g**4 + 43*g**2 + 22*g**3 - 13 + 15*g**3 - 27 - 3*g**4 - 37*g + 3*g**4.\nAnswer: -(g - 1)*(g + 1)**2*(3*g - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1223616 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/16 and 21\/109678?\nAnswer: 877424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2\/8 + (3 - 1503\/(-36)) and 3?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 2*b**2 + b - 1. Let w be s(1). Let a(p) = -p**2 + 2*p - 1. Let t be a(3). Put t, 4, w in increasing order.\nAnswer: t, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -33 - 107. What is the greatest common divisor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 52285*u**2 + 92201.\nAnswer: 104570*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 5*f = 311 - 156 - 160, -4*r - 3*f + 11 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1305033 - 1303557 = -45*g + 9*g for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6 - 2a4d5?\nAnswer: -2a4db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 PM and 7:04 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 100110011100011 (base 2) to base 5.\nAnswer: 1112213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 5*f**2. Let n = -215 - -217. Let g(k) be the second derivative of 0*k**n + 4*k + 1\/12*k**4 + 0 + 0*k**3. Give g(x(c)).\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 25*i**2 + 2*i - 2. Let s(n) be the second derivative of n**4\/12 + n**3\/6 + 8*n. Let w(a) = -4*s(a) + z(a). Is w(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1.2, 0.2, -1\/3 in descending order.\nAnswer: 0.2, 0, -1\/3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 3*i + 7. Let j(n) = 11*n - 36. Let t be j(14). Suppose -59*p - t = -57*p. Let q = p + 50. Calculate w(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3754 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 653 - 653.1. Let j = -0.04 - 1.96. Let a = 1 + j. What is the nearest to b in -0.5, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 9\/26 and ((-4)\/390)\/((-96)\/(-3708)*1)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 - -7.5. Let z = -0.6 + -0.4. Which is the second smallest value? (a) 0 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m + 4 - 5. Let k be (-4)\/(m\/4*-2). Let t(u) = -14*u + 12. Let j be t(k). What is j rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:39 PM and 7:07 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*u = 22*u - 87*u + 885 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 437459480 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 310197156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13026\/43 + 303. Let y = -135\/86 + a. Is -0.3 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -i**4*n + 626*i**3*n - 2587*n - 2 wrt i?\nAnswer: -4*i**3*n + 1878*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8357*n**2 - 10*n**3 - 4178*n**2 - 3*n**3 - 4186*n**2 + 19*n**3 - 8*n**3.\nAnswer: -2*n**3 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6789273.3606267 - 1621831.3606255. Let a = 5167439 - x. Let j = 3 + a. Round j to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 2*i - 231768 = 0, -3*p + 173805 = 37*i - 39*i. What are the prime factors of p?\nAnswer: 3, 7, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3338, 3341, 3334, 3311, 3266, 3193, 3086?\nAnswer: 2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23 - 31. Let s be 49 + 3*m\/(-6). Suppose s = 6*j - 91. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(190)\/(sqrt(110)\/sqrt(44) - sqrt(10)))*-5.\nAnswer: 10 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*v**2 - 1330200*v + 88471602000.\nAnswer: 5*(v - 133020)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000082442 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 405\/6824?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 106710 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes before 11:48 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**3 + 11*s**2 + 8*s - 17. What is p(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**3 - 12*k**2 - 87*k - 72.\nAnswer: 3*(k - 8)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*z**3 - 36*z**3 - 121199*z**2 + 121193*z**2.\nAnswer: 2*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2\/83 + 87\/166. Factor 1\/4*x**2 + 1\/4 - v*x.\nAnswer: (x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2c - 2151?\nAnswer: -217d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be (24\/36)\/(7\/(-3)). What is the third biggest value in -1, 0.2, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/8*t**2 + 0 + 1\/8*t.\nAnswer: -t*(t - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*s + 13 + 1. Suppose -s*x - 2*o - o = -4, 2*x - 4 = -o. What is the second derivative of -x*i - 3*i**4 + i**4 + 2*i**4 - 5*i**4 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1266490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 260, 516, 772, 1028, 1284?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 18318217 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*z**3 + 20*z - z**3 - 21*z.\nAnswer: 3*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + s + 3*s**3 - 3 + 22027*s**2 - 22025*s**2 to the form q*s**3 + m*s**2 + g + c*s and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 645\/9*291\/970*6\/3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 10*b + 90. Let g be u(-9). Put g, 7, -1, -12 in descending order.\nAnswer: 7, g, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**4)**(-1\/16)*(o*o*(o**(3\/7)\/o)\/o*o)**36 assuming o is positive.\nAnswer: o**(5725\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*d - 31*d + 9*d + 215*d**4 + 177 + 12*d with respect to d.\nAnswer: 860*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 - 9. Let x(n) = n**3 + 10*n**2 + 8*n - 9. Let t be x(a). Solve -5*i - 2*h - 2 = t, 5*i + 0 = 5*h + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -7534123.\nAnswer: 2\/7534123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -19 divided by 7\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 232.952959 rounded to 1 decimal place?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80 = -32*r + 27*r. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1946245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 13312 (base 4) to base 15.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(-6)*201 + (-22 - -20). Let x = 98 - a. Is x at least as big as 0.031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -12*a**3 + a**2. Let b be x(1). Let j = -8 - b. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2 + 0 + 5*j - j**2 - 3*j. Let a be 51\/18 + (-11)\/(-66). Give v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 79 or -6\/11?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2877401018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -2 times -0.0185\nAnswer: 0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) -19 (b) 4 (c) -2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(2\/9)\/m)**(-32)\/((m*m**(-4))\/((m**(2\/5)\/m*m)\/m)) assuming m is positive.\nAnswer: m**(1228\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 805021032 to the power of 1\/3, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 18183 times 4?\nAnswer: 72732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**2 + 6*j - 358. Let t be m(16). Let x(r) be the second derivative of 0 - 5*r - 1\/12*r**4 - 5\/2*r**2 - 3\/2*r**3. Determine x(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/5074 (b) -0.59 (c) 3 (d) -1\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -149*t + 124*t + 450925 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-21777)\/(-119)*((-5)\/35)\/((-12)\/14)*-2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23934, 66742, 128428, 208992, 308434, 426754?\nAnswer: 563952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*u + 9*u = -10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*m - 2*p - 86 = 0, -78065*p + 29 = -4*m - 78068*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11051 is divided by 647?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-4)\/(-18) + 15026\/99 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3707 != 33374\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 56 and 593152?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**3 - 13*x**2 - 4*x + 57. Let t(s) = -s**2 - 71*s - 647. Let w be t(-60). Determine u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98 minutes before 5:07 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 16*i - 1. Let q(w) = -49*w + 3. Determine 7*j(v) + 2*q(v).\nAnswer: 14*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -69 (base 13) to base 9\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -757, 1 in increasing order.\nAnswer: -757, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:40 AM and 1:42 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-204)\/(-1 + -3) - 2. What are the prime factors of i - -2 - (-3 - -1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1388.8 + 1389. What is the closest to -0.1 in -3, -0.004, z, 0.5?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5183 + 5180. Find the common denominator of -27\/316 and b.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -6*r - 49. Let z be f(-14). Is 5\/(7\/z*5\/311) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4 + -2 + 1\/1. Let p = b - 8. Let m(a) = -a**2 - 7*a + 4. Is 7 a factor of m(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -3*k**3 + 2*k**2 + 25. Let n(q) = -1. What is l(z) + 4*n(z)?\nAnswer: -3*z**3 + 2*z**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ibbkuttqubttuuk. Give prob of sequence ik.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 65a (base 15) to base 9.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 48 (base 14) to base 4.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -329 * -12.658\nAnswer: 4164.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-7 + -8)\/((-3)\/(-2)). Let q(p) = -p - 8. Let x be q(f). Suppose -1 + 3 = 3*g - x*a, -a = -5*g + 15. Solve -5*l + 4*b - 16 = 0, g*b - 8 = 2*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*k + k + 0*k - k - k - k + (5 - 11 + 0)*(2*k - 11*k - 4*k) as n + m*k and give m.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 185 - 159. Suppose -w + 11 = -q + v, 5*q = -4*w + 48. Solve 3*i - 4 - q = 4*u, -3*i + 7 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -46.21 + 46.2097199. Round y to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.395763 millennia to months.\nAnswer: 76749.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2.8 in 6\/11, 0.4, -2\/11, -0.2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 31, -1, -2\/5, 65\/4, 1\/3 in ascending order.\nAnswer: -10, -1, -2\/5, 1\/3, 65\/4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -d643 (base 14) to base 12\nAnswer: -19437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2361 and 295.977?\nAnswer: -698801.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2.2274433528 rounded to 3 dps?\nAnswer: -2.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply -381407 and -0.31.\nAnswer: 118236.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001000101010001110 + 11?\nAnswer: 1001000101010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(5*sqrt(4500)*4 + 4 - (sqrt(4500) + sqrt(4500) + sqrt(4500) + 1 + -3)*-1))**2.\nAnswer: 99360*sqrt(5) + 85698144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (48\/30)\/((-2)\/5). Let c be (-2)\/2 + -3 - i. Suppose 16 = -2*h + 2*w + 2*w, c = 5*w - 15. Which is smaller: h or -5\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 146817 divided by -40\nAnswer: -146817\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 97, 9, -3, -6 in descending order.\nAnswer: 97, 9, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**3 - 19*y**2 - 19*y - 16. Let c be d(-18). Suppose -c*h - 5 = -9. Let w be (-1)\/(2\/(-5 + 3)). Solve h*m + w = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9950\/7 or -55?\nAnswer: -9950\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -206231 less than -206226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -2635 + -543.624?\nAnswer: -3178.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -0.4, -0.3, 2\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16793 and 1650607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c = 5*d + 22, -2*c + 10 = -0*d - 2*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4256391 to the power of 1\/2, to the nearest integer?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 708 (base 11) in base 7?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -35 - 1 - (2006 - 2051)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000053712 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 50.76808ml in litres?\nAnswer: 0.05076808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 13*x - 27. What is t(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -639, -1255, -1871, -2487?\n\"Answer: -616*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2 + u. Let f(n) be the second derivative of n**5\/20 - n**4\/12 - 5*n**3\/3 + n**2\/2 - 5*n. Let c(m) = -f(m) - 5*k(m). Calculate c(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {p: 5, w: 13}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yty when three letters picked without replacement from yybyyyytytybyyyyby.\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -150 + 157. Solve 4*l - 13 = h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 90029, 177870, 265711, 353552, 441393?\nAnswer: 529234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 - 1 - 152\/(-19) - 1. Solve 0 = 4*z + g*h - 14 + 34, h = -5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the first derivative of -2*r**6\/3 - 76*r**5\/5 - 115*r**4 - 964*r**3\/3 - 416*r**2 - 256*r + 2813. Factor k(m).\nAnswer: -4*(m + 1)**3*(m + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*2 - (-8 - -4). Suppose o*s - 10 = -3*s. Suppose 3*j - 2*f - 207 = -4*f, 0 = 2*j + s*f - 138. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 1.2. Suppose r + 4 = 4*z, 3*r - 7*r - 37 = 5*z. Let s be r\/2*1*4\/(-24). Which is the closest to -2\/7? (a) s (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.173 + -32.173. Are -3 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.1 + -0.6. Let k(i) = -2*i**3 - 176*i**2 + 176*i - 175. Let c be k(-89). What is the nearest to 1 in u, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 5*k**2 - 2*k - 2. Let t be x(-1). Let m = -1 + t. Solve -4*b = -4*f + 4, 2*b + 13 = f + m*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 742*u + 31. Let b be o(-7). Let t be ((-580)\/(-238))\/(6\/b). Let i = t - -2097. Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.32 - 4.68. Which is the nearest to -1? (a) x (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 3, u: 3}. What is prob of picking 3 u and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3375257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*(-72)\/(-100) - 4\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*k + 5*k**4 - 13*k**3 + 12*k**3 + 0*k**2 - 2*k**2 + 7 - 8 to the form d*k**2 + x*k**4 + b*k**3 + r*k + s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2537492780?\nAnswer: 2, 5, 43, 199, 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19 + 18.5. Let l = -2 + 1. Which is the second smallest value? (a) -1\/3 (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -22 * 932.\nAnswer: -20504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -89738320 divided by -61\nAnswer: 1471120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 - 156*w + 904. Calculate s(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 250, 423, 712, 1117, 1638?\nAnswer: 2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that s**4\/2 - 292277*s**3\/2 - 15493491*s**2\/2 + 292277*s\/2 + 7746745 = 0.\nAnswer: -53, -1, 1, 292330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pkukekgookekoe. What is prob of picking 2 o and 1 k?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/21 in -7, -3\/7, 111?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 8628*c. Let k(o) = 4238*o + 4208*o - 8444*o. Determine k(w(x)).\nAnswer: 17256*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(190) + 4*-2*sqrt(190) - sqrt(190))\/((2*sqrt(20))\/sqrt(2)) + (4 + (1 + sqrt(133)\/sqrt(63))*-4)**2.\nAnswer: -4*sqrt(19) + 304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -17*u + 1. Let x(y) = 2*y + 4. Let h(m) = -m - 3. Let s(n) = -4*h(n) - 3*x(n). Determine s(b(o)).\nAnswer: 34*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the first derivative of z**2 + 0*z**3 + 2*z + 5 - 5*z**3 + 4*z**3. Let j = 2526 + -2529. Let b(g) = 6*g**2 - 5*g - 4. Determine j*b(p) - 7*i(p).\nAnswer: 3*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 780443 to the power of 1\/2, to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3536 and 79768?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-13)\/(-3))\/(4*2\/(-1848)). Let p = i + 1007. Solve 21 - 21 = p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 372261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:08 PM and 6:06 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the first derivative of -z**3 - 57*z**2\/2 - 102*z + 286. Factor w(t).\nAnswer: -3*(t + 2)*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**4\/3 - 2*q**3\/3 + 20*q**2\/3 - 8*q.\nAnswer: -q*(q - 2)**2*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 73631 = 2115*f + 424*f for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4\/5 (b) -1.59 (c) 1 (d) -1 (e) -4 (f) 179820\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.9 + 1.9. What is the second biggest value in -2, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 25 - (8 - 3) - 16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 5.028 and -4.\nAnswer: -20.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 4*d + 18. Let w = d + 8. Let y(f) = -3*f**w - 5*f**2 - 3*f + 3*f**2 + 3*f**2. Determine y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 5*d**2. Let p(i) = i**2 - 663. What is c(p(v))?\nAnswer: 5*v**4 - 6630*v**2 + 2197845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the first derivative of -4*d**5\/35 + 3*d**4\/14 + 2*d**3\/21 - 3*d**2\/7 + 2*d\/7 + 15. Solve h(q) = 0 for q.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 177 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1435794 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/40 + (-15)\/60\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 9 = 5*o + 4, -3 = -n + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 25697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -23*i**2 - 7314*i + 97. Give d(-318).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-20)*-11*(-90)\/(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 58834333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 43249320 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -65 * -0.12\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*q**2 - 9*q**2 - 7*q**2 - 8*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 6*m**2 + 23*m - 6. What is o(-8)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/25 of a day in seconds?\nAnswer: 24192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 855\/18*(-8)\/14*(-7812)\/(-3720).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9003?\nAnswer: 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**3 + 8*t**2 - 7*t + 8. Let n(x) = -x**2 + 9*x - 7. Let i be n(7). Let p be h(i). Suppose -2*a + 0*a + p = 0. Solve a = -d - 0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -29420 divided by -6?\nAnswer: 14710\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 61*a**2 + 22*a - 351. Let y be l(10). Let c = 8928 - y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*b + b + 3*b)*((1 + 1 - 3)*(6 + 0 + 5) + 110 + 265 - 68).\nAnswer: -296*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -5*b**2 + 5*b. Suppose 42*x = 39*x + y - 5, 4*y + 19 = -x. Let s(z) = -2*z**2 + 3*z. Determine x*w(v) + 5*s(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1218272794 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 2*d**3 - 3*d - 3. Let m(n) be the first derivative of 7*n**4\/4 - 6*n**2 - 11*n + 758. Determine 22*i(v) - 6*m(v).\nAnswer: 2*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 10213309 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*f - 36 = -19*f. Are f and -18 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d - 1. Let w be 80\/(-6)*(-69)\/92. Suppose w*y = 11*y - 6. Give a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2\/121 - 127\/363. Suppose -3*u + 4 = -2. Suppose -3*q + 20 = u*q. Put q, -5, d in descending order.\nAnswer: q, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 3*y + 20, 0 = -2*y - y + 3*j - 15. Suppose -5*m - 4 = 3*z + 6, y = 3*z - 3*m - 30. Solve -z - 4 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 130 - 18 = -28*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - 6 + 9. Let g be -258 + 253 - -13*(1 - -1). Put p, -4, g, 3 in increasing order.\nAnswer: -4, p, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwpppp. What is prob of sequence pw?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45\/((-45)\/(-2))*(-1)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*p + 687*p**3 - 37283*p**2 - 2*p + 37283*p**2 - 2 to the form u + a*p**3 + q*p**2 + c*p and give a.\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6 + 6.4. Let h = -0.5 - -0.5. Which is the smallest value? (a) h (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t + j - 13, j + 7 + 20 = 4*t. Let s = -5 + t. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*a + 3*a + a)*(310 + 2013 + 1588 + 1016 - 225 + 1735) to x + v*a and give v.\nAnswer: 6437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cmmcccmrgcggcdcccd. What is prob of sequence gmr?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 66 = -2*p - 43 - 19, 5*c - 160 = -65*p for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9001, 18044, 27177, 36448, 45905?\nAnswer: 55596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -3*n**5\/5 + 178227*n**4\/5 - 2647517496*n**3\/5 + 13234557768*n**2\/5 - 21173724144*n\/5 + 10586505648\/5 = 0.\nAnswer: 1, 2, 29702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 2*m - 69. Let o(c) = -c - 100 + 100. Determine o(d(j)).\nAnswer: -2*j + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -7*p**2. Let y(o) = 2*o - 270. Calculate c(y(b)).\nAnswer: -28*b**2 + 7560*b - 510300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + 335a40?\nAnswer: 335a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ehheeheheehhehee. Give prob of sequence eeee.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 5 = 2*r, r = -2*c - 3 - 4. Let v(u) = -4*u - 1. What is the units digit of v(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:47 PM and 5:35 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f + 17 = 8*l + 3*l, 8*f - 4*f = -5*l + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 512907557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 8*k**4\/13 + 1720*k**3\/13 + 94698*k**2\/13 + 890912*k\/13 + 2314246\/13 = 0.\nAnswer: -131, -73, -11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4\/6)\/((-8)\/15)*(249 - 261). Solve 0 = -k*m + 81 - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11631 + 11596. Sort -0.4, q, -4, 1\/7, 2\/7 in ascending order.\nAnswer: q, -4, -0.4, 1\/7, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - 0 + 20. Let d be 16\/(-12) + 6 + 2\/(-3). Solve 8 + b = 5*a + 3*v, -d*a - 3*v + 8 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1016289873?\nAnswer: 3, 112921097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*p**3 + 5*p**4 + 2*p**3 - 4*p**4 - 3*p + 4 to u*p + w*p**4 + y + g*p**2 + f*p**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + -1. Let c = -657.7 - -658. Sort 24, g, c, -5.\nAnswer: -5, g, c, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-5 - 0 - -3)) + (-92 - -63)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30286001, 60571996, 90857991, 121143986, 151429981?\nAnswer: 181715976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 3, 4\/3, 0.409, 1 in descending order.\nAnswer: 5, 3, 4\/3, 1, 0.409","meta":{"dup_signals":{},"source":"comparison__sort_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: What is the ten thousands digit of 2247331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -1788*n = -1136*n - 14344 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 + 11*f**2 + 156*f - 1674. What is s(13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 2*y = 4*b + 3288984, 5*y + 16445016 = 4*b. Round y to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-1 + 1 + 2)*22\/4 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0, -2, 14.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -201201 + -12?\nAnswer: -201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -110*c**3 - 1434*c**2 + 113*c**3 + 1434*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 2*l. Let i(x) be the first derivative of 43*x**2 + x - 16. Calculate i(p(z)).\nAnswer: 172*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -133120033 + -11?\nAnswer: -133120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(7) + 1)*-6 - (1*sqrt(1008) - (sqrt(343)*-2 + sqrt(343) - sqrt(343))))**2.\nAnswer: 640*sqrt(7) + 7268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (140\/(-3))\/((-83)\/111054)?\nAnswer: 2, 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 10 = -t, 5*t - 4*p = 1 + 6. Let s(o) = o**2 - 4*o + 1. Let v be s(5). Put v, -3\/5, t in ascending order.\nAnswer: t, -3\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 516324\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 551689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(209) - -1*sqrt(209))*3)\/sqrt(11).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add 7288396 and 20.3.\nAnswer: 7288416.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 539 is divided by 24\/15 + 16*35\/25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 720 and 264970?\nAnswer: 19077840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -134.1 + 125. Let w = k - -2.9. What is w rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes before 4:17 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -328*s**3 + 310*s**3 + 3027913*s**2 - 3027913*s**2.\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z**5 + 66115*z**4 - 217200200*z**3 - 8987423120*z**2 - 96737004800*z - 87966848000 = 0 for z.\nAnswer: -20, -1, 6632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.414*106.\nAnswer: -43.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 189 - 407\/2. Find the common denominator of 144\/84*(-51)\/(-24) and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 3*s - 3)*(3*s + 5*s - 10*s) + 2*s**2 - 3*s**2 - s**2 as c + f*s**2 + r*s and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*x = -17*x + 67*x - 1624 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -238*y = 115*y + 10025 + 212 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24632?\nAnswer: 2, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1150)\/5980*12\/(-5)*26?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*l**3 - 2146*l**2 - 860*l = 0.\nAnswer: -2\/5, 0, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10\/5443, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 18b1 + -8?\nAnswer: 18a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.42, 0.5, -1, 617 in decreasing order.\nAnswer: 617, 0.5, -0.42, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the first derivative of -l**8\/1176 - l**7\/147 - 2*l**6\/105 - 2*l**5\/105 - 4*l**2 + 8. Let r(x) be the second derivative of i(x). Factor r(o).\nAnswer: -2*o**2*(o + 1)*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 2*s - 82. Suppose 2*u + 0*u = s. What is the remainder when u is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2655 and 472.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 9*d**2 - 5*d - 2. Let b(s) = -s**2. Determine 6*b(t) + z(t).\nAnswer: 3*t**2 - 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.14 + -0.8. Let u = j - 0.06. Put -0.5, 1, u in descending order.\nAnswer: 1, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in -4, 2, -1085\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -l - 8830, -4*d - d + 3*l = -44156. Suppose 36*f - d = -1129. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.12 + 1.12. Let l be (-14)\/(-42)*9\/(-30). What is the nearest to 3 in q, l, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -10879 bigger than -10878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 4:05 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(48)\/sqrt(64))\/sqrt(3456).\nAnswer: sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p - 2. Let j be i(1). Let q = 23 + -20. Sort j, 4, q in descending order.\nAnswer: 4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 12305, 25652, 39011, 52388, 65789, 79220, 92687, 106196?\n\"Answer: c**3 + 13340*c - 1036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -107735, -430876, -969409, -1723304, -2692531, -3877060, -5276861?\nAnswer: -6891904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 8*c - 80. Let g be k(11). Let j be (-4)\/2*(-3)\/2. Solve n = -j*n + g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 e when three letters picked without replacement from {b: 6, w: 3, e: 6}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 4.1 and 0.37.\nAnswer: 1.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 - 4)*(-2 - 6 - 6*q + 10)*(8 - 2 - 1).\nAnswer: 270*q - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 4, w: 3, j: 4, k: 3, r: 2}. What is prob of sequence kj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 35537817769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*g**3 + 550602 - 1101189 + 550587.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -676710930*r**2*w**3 + 15*w**3 + 4*w**2 + 5166*w + 248 wrt r?\nAnswer: -1353421860*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - -2.4. Let z = -12811\/14 - -6416\/7. Let m = -0.06 + 0.1. What is the third biggest value in z, m, -0.4, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(51)\/(sqrt(9)\/sqrt(48)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 2*u + u + u**2 - 2 - 2*u + 3*u. Let i = -7 - -2. Is 2 a factor of m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 2*v - 7, -6 = -c + v - 14. Let p be c*(-1 - 2)\/(-9). What is the common denominator of 13\/6 and p\/6*(-134)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 + 13*s - 4. Let l be t(11). Suppose 2*f + 0*f = l. Let i(b) = -b**3 + 10*b**2 - 9*b + 1. Let c be i(f). Solve 0 = -w + c + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 3*d = 2*h - 64, 283 = 4*h - 3*d. What are the prime factors of h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/((-2)\/((-12)\/30) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 7\/2147?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (j**2 - 2*j**2 - j**2)*(-1864*j - 1874*j - 1175*j).\nAnswer: 9826*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**5 + h**4 + 3*h**2 + 1. Let b(a) = 413*a**5 - 5*a**4 + 300*a**2 - a - 5. Let u(d) = b(d) + 5*o(d). Find the third derivative of u(y) wrt y.\nAnswer: 25080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -76 times 58?\nAnswer: -4408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1232 and 3927.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 - -11431121?\nAnswer: 11431120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6321 (base 14) in base 11?\nAnswer: 11919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the third derivative of f**5\/12 + f**4\/2 + f**3\/3 - 38*f**2 + 2. Does 24 divide b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.209 - -0.799. What is the biggest value in 1, -4, s, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/(-18) + 281\/9. Let l(s) = -s**2 - s + 59. Let u be l(-8). Let f be (56\/28)\/(1 - u\/5). Solve 0 = f*x + 6 - z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -522067200 to the nearest one million.\nAnswer: -522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/24*52\/(-39)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the first derivative of -2*n**7\/105 + n**6\/30 + 2*n**5\/15 - n**2 + 3. Let w(s) be the second derivative of u(s). Factor w(m).\nAnswer: -4*m**2*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1.2 >= -1110\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q**3\/5 + 78417*q**2 - 12811083309*q\/5 + 12810691227\/5 = 0. Calculate q.\nAnswer: 1, 65347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 13.619 and -0.156?\nAnswer: -2.124564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2857 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1847448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -57*g + 9. Let q(m) = 58*m + 28. Let o(a) = 2*a - 3. Let d(l) = 14*o(l) + q(l). Calculate -8*b(s) - 5*d(s).\nAnswer: 26*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7355 - -933. Is b a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 22443250 and 44886500.\nAnswer: 44886500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4 - 7. Let n(w) = w**3 - 6*w**2 + 5*w + 4. Let q be n(5). Let b = -13816 + 13810. Put q, b, f in increasing order.\nAnswer: b, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t**2. Let i(l) = -3*l**2 - 6*l - 6. Let q(a) = a**2 + a + 1. Let r(j) = -i(j) - 6*q(j). Calculate r(y(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -d**2\/3 - 919*d\/3 - 1220 = 0. What is d?\nAnswer: -915, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 44\/32085 and -209\/19320.\nAnswer: 1796760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/5 - (-7304)\/605. Let v = 625\/33 - k. Find the common denominator of v and 7\/31.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + x = 23, 0 = 5*b - 6*b + 4*b + 2*x - 71 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -55.6 - 0.524.\nAnswer: -56.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 2*k**3 - 43*k**2 - 75*k + 2. Determine j(22).\nAnswer: -1164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 144*i**2*r**5 - 2*i**2 + 2*i*r**2 + 156*i wrt r.\nAnswer: 8640*i**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.32 and -5.83.\nAnswer: -1.8656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v = -5*v. Suppose -2*w - 265 = -6*f + f, v = -5*w - 25. Is 3 a factor of ((-28)\/6)\/((-34)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-344682)\/18135 - (-12 - (0\/2 + 7))?\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > -28813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -23 + -19?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 314736 divided by 4.\nAnswer: 78684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 41.05870571 to two dps.\nAnswer: 41.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -3, 11, 4\/5, -1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*c - 93 = 75 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 29798*p - 14909*p + 136*p**3 - 14901*p to q*p + x*p**2 + g + i*p**3 and give i.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -557 + -613. What is k rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (108\/(-306)*-34)\/((-2)\/7)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**2. Let b(s) = -168 + 168 + 5*s. Give n(b(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g**3\/13 + 3596*g**2\/13 - 168270*g\/13 + 472500\/13 = 0. What is g?\nAnswer: 3, 45, 1750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Let z be 7\/((-28)\/8) - -22. What is the units digit of z\/15*81\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of -8 + (-99)\/(-9) - -288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 293426 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 42 + -39. Let k be ((-4)\/m)\/(1\/3). What is the smallest value in -0.1, -12, k, 0.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes after 8:58 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.12, 2.84, 5.9?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 12451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/16*4 - -1. Suppose -h = -0*k - 3*k - 3, -2*k = -t*h + 2. Suppose 0*o + o - 38 = h. What is the remainder when o is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(4\/6) + 0. Suppose g*a - 6 = -0*a. Suppose -5*m + 25 = w, -w + a + 3 = m. Solve w = -5*o - 0*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -193 + 86. Let w = 107.01 + d. What is w rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*m = 41*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1148870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -5*n + 9. List the prime factors of b(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 783848, 783851, 783854, 783857, 783860, 783863?\n\"Answer: 3*y + 783845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 476*h = -550*h + 246*h - 12480 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are 32\/15 and 9.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6834879 or 39?\nAnswer: 6834879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 + 4\/(-12)*0. Suppose 0 = 4*k + 4*o - 8, 3 = q*k + o - 2. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -42 + 63. What is the remainder when t is divided by 24\/(-3)*82\/(-82)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-65 + 65 + 75*x**2)*(-3 + 1 + 0).\nAnswer: -150*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-6435)\/396)\/((-1)\/8). Calculate the highest common factor of g and 1755.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 g, and 2 n when four letters picked without replacement from rngngsrgllgsg?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.82, 5, -5, -0.28, 4\/25 in descending order.\nAnswer: 5, 4\/25, -0.28, -0.82, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1269, -2521, -3759, -4977, -6169, -7329, -8451, -9529?\n\"Answer: w**3 + w**2 - 1262*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-25)\/70)\/((-30)\/(-35))*46*(-33)\/(-55).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -5*((-127)\/381)\/(137\/(-69) + 2). Solve -33*j = -10*j + p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*o + 0*o + 2*o)*(83 + 75 - 100)*(-12*o - 12*o - 9*o).\nAnswer: 1914*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + y = 10. Put -2, -1, y in ascending order.\nAnswer: y, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 806169?\nAnswer: -1\/806169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -2832 by -177.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-5) - (-496)\/(-40). List the prime factors of (483\/2)\/(l\/(-8) - 1).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 4*v - 50. Suppose d = 6*d - v. Solve g = 5*g - 4*k + 4, 5 = g + d*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 9:36 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 19*w - 29*w. Suppose -5*s + i - 6247 + 25261 = w, 5*i + 3798 = s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of -l**7\/280 - l**6\/480 + l**5\/40 + l**4\/32 - l**3\/3 + 4. Let f(r) be the third derivative of n(r). Factor f(a).\nAnswer: -3*(a - 1)*(a + 1)*(4*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 54*(-2)\/(-4) + 2. Let d = h + -4. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12022, 12020, 12018, 12016, 12014?\nAnswer: 12012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 1113*p**2 + 7 - 7 + 1062*p**2 - 839*p**2 - 4 in the form v + b*p**2 + w*p and give b.\nAnswer: 1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5175097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Subtract 27 from -12537.\nAnswer: -12564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-11)\/(-18)*-358 - 4\/18. Let k = 44 - x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -2441 - -954.1\nAnswer: -1486.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -3*g**2 + 19*g + 4. Let p(w) = -w**2 - 5*w. What is -4*p(t) - q(t)?\nAnswer: 7*t**2 + t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = 12*z - 62. Which is bigger: z or 1\/843?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 524*a*t**3 - 24375*a + 13*t**3 wrt t.\nAnswer: 1572*a*t**2 + 39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 12:07 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - (sqrt(70) - (sqrt(70) - 2*sqrt(70)))) - sqrt(70))*-3)\/(2*sqrt(810)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*m + 0*m - m)*(-2 + 0 - 3) - 3*m - 5*m + 2*m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -5 (c) 4 (d) -3416\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.27, 1, 1\/4, 2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -78ba (base 14) to base 4.\nAnswer: -11013030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/(-3)*((-2277)\/(-55))\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 7103.432 years to centuries.\nAnswer: 71.03432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31525 is divided by 7549?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be 34\/(-10) - (-8)\/20. Let z = 219 - 213. Let x be (z\/20)\/(6\/(-5)). Which is the closest to 0.3? (a) x (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 34 - 21. Suppose -w + x = -18. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 - 1)*(0*x - 3*x + 2*x)*(0 + 2 + 5).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13544 is divided by 6763.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-17 - 5) + 6 + -667 + 690?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -13010 (base 4) in base 9?\nAnswer: -552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10196 + -10182. Solve 2*q + 10 = 0, 19*r - o*r - 3*q = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 0*h - c - 664 = 0, 0 = -2*h - 5*c + 310. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 41.48 * 102.\nAnswer: 4230.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the second derivative of 0 + 3\/2*b**2 + 0*b**4 + 0*b**5 + 7\/6*b**3 - 55*b + 0*b**6 + 13\/14*b**7. What is the second derivative of n(d) wrt d?\nAnswer: 780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -141 + 149. Suppose -v*m + 516 = -4*m + r, 4*m = -4*r + 504. Calculate the greatest common divisor of 90 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -543, 2.\nAnswer: -543, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/20)\/((-4)\/70*(-28)\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 16*g**3 - 9*g**2 + 15*g - 11. Let u(o) = 3*o**3 - 2*o**2 + 3*o - 2. Let d(b) = -4*k(b) + 22*u(b). Factor d(q).\nAnswer: 2*q*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(18)\/(1*sqrt(12)\/sqrt(2)).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -86.293098 take away -0.5?\nAnswer: -85.793098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19248937.\nAnswer: 19248937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times 53\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -27039 + -302?\nAnswer: -27341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -14575965 divided by 5\nAnswer: -2915193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3723788 and 15623?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -461*k + 392*k - 493*k - 304*k.\nAnswer: -866*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -108.4 and -5?\nAnswer: 103.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3689518346045 + 3689518346045 - 15*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 237 + 3?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, -1, -0.2, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 76137*u**2 - 25376*u**2 + 7 - 4 - 3 - 25372*u**2 - 25392*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve y = 8*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 133724058?\nAnswer: 2, 3, 13, 1714411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*m**2 - 1 + 1)*((-2 + 3 - 3)*(5 - 1 - 2) - 1 + 4 - 2)*(-1 - 2 + 2).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 3 = -1. Suppose -j*q + 209 = 17. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 26, 2\/9, 4.\nAnswer: 2\/9, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 12247887.96ms in weeks?\nAnswer: 0.0202511375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the third derivative of -j**6\/120 + j**3 + j**2. Find the first derivative of b(o) wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11.4866 rounded to 1 decimal place?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -4\/237?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -127 + 135. Solve 2*d = o, -4*v + 6*v + 2*d - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:42 AM and 9:02 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l*l\/(l*l**4)))\/(l*l\/(((l**(-3)\/l*l)\/l*l)\/l)*l)*(l\/(l*((l**(1\/13)\/l)\/l*l*l)\/l))\/(l*l\/l**(-3\/13)*l) assuming l is positive.\nAnswer: l**(-82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 2*j**2. Let o be 3\/(-2*3\/(-4)). Let i(p) = p**3 - 14*p**2 + 17*p - 50. Let k be i(13). Let f(u) = u**k + 4*u**2 + 0*u**o. What is f(n(d))?\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 7591.967l to millilitres.\nAnswer: 7591967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(80))\/(sqrt(28)\/sqrt(112) - sqrt(4))*4.\nAnswer: 64*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are -2\/2133945 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 947, 2187, 3427?\n\"Answer: 1240*b - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -49 (b) -0.1 (c) -1 (d) 16 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/(-9)*3*0. Suppose n = -5*w - 4*c - c + 150, -120 = -5*w + c. What is the greatest common divisor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (4 + (-9 - -3)) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 91 = -11. What is the hundreds digit of (-4 + 3)\/(-5) + (-4636)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 - 2)\/(135\/(-11295)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the first derivative of -n**3\/3 + 2. Let k(a) = 6*a + 3. Let v(z) = -z - 1. Let m(p) = -k(p) - 3*v(p). Give m(r(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 8 - 12 = 0. Are -14\/3 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1, -32, -87, -160, -245?\n\"Answer: p**3 - 18*p**2 + 16*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2878 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 6*m**3 - 20*m**2 - 148*m + 2. Let b(h) = -3*h**3 + 5*h**2 - 1. Calculate -4*b(t) - o(t).\nAnswer: 6*t**3 + 148*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -2*z + 330, z - 5*z = 12. Suppose 0 = 7*p - 3*p - m. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-28)\/12*(-43740)\/(-3780)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -t**3 + 4599*t + 4607*t - 2*t**2 - 9472*t as w*t**3 + g*t**2 + u*t + m and give u.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -3006*x + 32. Let t be a(-8). Let j be 9014*(-4)\/t + 9\/6. Let d = -73789\/16555 + j. What is the common denominator of 85\/2 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1 (b) -13\/5 (c) 0.2 (d) 117 (e) -1 (f) 2\/19 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7.6 + 0.6. Let h = m - -6.9. Suppose 49*t = 54*t - 20. Which is the closest to 2? (a) h (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 944, 951, 958, 965, 972?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0004514919 to seven dps.\nAnswer: 0.0004515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -161\/150 and -181\/2070.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 28 = -15*v. Sort -5, v, -3\/4 in descending order.\nAnswer: v, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the second derivative of -10*g**7\/21 + 4*g**3\/3 - 18*g. What is the second derivative of a(m) wrt m?\nAnswer: -400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10\/(-1)*10\/4. Let p = i - -37. Suppose 9*a + 597 = p*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(117)*-3*6 - sqrt(117))\/(sqrt(9)*2*4 - sqrt(9)))**2.\nAnswer: 4693\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1310 or 1300?\nAnswer: 1310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 424659348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -54, -119, -228, -381, -578?\n\"Answer: -22*u**2 + u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 9421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 1) + -7 + 2 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -9*w**2 + 15*w + 2. Suppose -4*n - f - 15 = 0, -f = n + 4*f + 18. Let k(r) = -5*r**2 + 8*r + 1. Determine n*u(a) + 5*k(a).\nAnswer: 2*a**2 - 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -10\/161 (b) -0.5 (c) -2\/9 (d) -3\/8 (e) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -721 + 324. Let l = -180 - d. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxmbmmbmmbbmbmmbemmf. What is prob of sequence xmeb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1349 + -1352. What is the nearest to k in 0.5, 364, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8, 26, 82, 194, 380?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a**2\/2 - a\/2 + 6 = 0. Calculate a.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -242, -243, -244?\n\"Answer: -l - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1d5 + 0?\nAnswer: 1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2585167863 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 496 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 572 - 569. Let v(w) be the second derivative of -7\/2*w**2 + 0 + 2*w + 0*w**o - 1\/3*w**4. Find the first derivative of v(k) wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/5 + -8 - -4)*(-117)\/26.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**1\/w)**(5\/8)\/((w\/(w**1*w))\/w)**2 assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 294 divided by 6.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 2. Let b(a) = -61*a - 5. Give b(r) + 3*h(r).\nAnswer: -61*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhhhhh. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**3 - 16*p**2 - 31*p - 48. Let r be u(18). What is the greatest common factor of 24 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/5, 166, -8.47?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -3048594 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the first derivative of -d**6\/24 - d**5\/20 + d**4\/8 + d**3\/6 - d**2\/8 - d\/4 + 18. Factor a(m).\nAnswer: -(m - 1)**2*(m + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, -371, 6, -4, 1 in decreasing order.\nAnswer: 6, 4, 1, -4, -5, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 1804 = 397. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand k**4 + 2*k**4 - k**4 + (-k**3 + k**3 - k**3)*(-3*k - 2*k + 4*k) - 92*k**3 + 143*k**3 - 1527*k**4 - 51*k**3.\nAnswer: -1524*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -129610 (base 10) to base 6\nAnswer: -2440014","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 1786862*w. Let v(o) = 5*o**2. Determine k(v(b)).\nAnswer: 8934310*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 13 = -v, 2*v + 0*i + 4*i = 4. Let s(t) = -34*t - 294 - 294 + v*t + 588. Let c(x) = -5*x**2. Give c(s(d)).\nAnswer: -2420*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 266778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*p + 135 = 10. Solve -23*s - p = -18*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 130a5b + 2?\nAnswer: 130a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4 + 13 + 5 - 1 - 21*c**3 wrt c?\nAnswer: -63*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*m**2 - 7*m**2 + 2*m**2 + (m - 1 + 1)*(-m - 2 + 2) + 2 - 3 - 2*m**2 + 4.\nAnswer: -14*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k**3\/3 - 106*k**2\/3 + 668*k\/3 - 368 = 0 for k.\nAnswer: 3, 4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 0*d - 2 + 2*d - 4*d + 1 + 24*d**2. Is 15 a factor of b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 14 (b) 0.2 (c) 3\/8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 + m**2 - m + 1. Let y(l) = 7*l**3 + 6*l**2 - 6*l - 1. Let g(v) = -6*u(v) + y(v). What is the derivative of g(a) wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 9*y**2 - 27*y**2 + 1)*(-y**2 - 4*y**2 + 2*y**2) as i*y**3 + d + s*y + u*y**4 + v*y**2 and give u.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-5*5*(sqrt(468) - (sqrt(468) + 0) - sqrt(468)) - 5*(2*(sqrt(468) - -3*sqrt(468)) - (1 + sqrt(468) + -4)))**2.\nAnswer: -7200*sqrt(13) + 749025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 12 = -0*k. Suppose 11*z = 10*z - 4*i - 22, -17 = z + 3*i. Which is the biggest value? (a) k (b) -2\/9 (c) -4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -250475 (base 9) to base 6.\nAnswer: -3124235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = 3*f + t + 22, 2*f - t = -3. Sort 5, f, -1013 in increasing order.\nAnswer: -1013, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*w = 3438 - 3522 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -3000232201 (base 4) in base 8?\nAnswer: -3005641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(243) + -1*sqrt(243))**2 - sqrt(3)) + -2 - (-5 + (-1 + sqrt(3))**2 + -6*(sqrt(3) + (-1 + sqrt(3))**2))*1.\nAnswer: -5*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 69 a factor of 32808533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - (4 - 0)) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50, -152, -316, -542, -830, -1180, -1592?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 435778415 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -17*q**3\/4 + 60*q**2 + 839*q\/4 - 51\/2.\nAnswer: -(q - 17)*(q + 3)*(17*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (s**2 - s + 3*s - 2*s**2)*(-398*s + 398*s + 10*s**2) to q*s**3 + g*s**2 + v + f*s**4 + d*s and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**2 + 9*r + 10. Let q be t(-9). Suppose 2*k + v - q = 0, 0*k + v = -k + 7. Differentiate k*h**2 - 1 + 0 - 2 wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -13\/8 (b) -6013 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (26*g - 9*g + 18*g)*(-6*g**3 + 4*g**3 + g**3) as y*g**4 + k + i*g + m*g**3 + n*g**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n**2 + 8*n - 4. Let x be f(6). Let b(s) = -28*s**2 + 9*s + 1. Let m be b(x). What is the remainder when 3\/(-2) + m\/(-18) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2237.8206 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (18 - (14 - 12)) + -36\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*m - 288 = -2*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 703 != 707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the second derivative of l**5\/20 - l**4 + 2*l**3\/3 - 2*l**2 + l. Is p(12) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 2406768 divided by 58\nAnswer: 41496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9213 is divided by 2298?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -41*l**2 + 203*l + 7187. What is f(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 5, r: 3, n: 1, i: 1}. What is prob of sequence in?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -7*t**3 - 3*t**2 + 7*t - 7. Let o = 81 + -76. Let c(f) = 3*f**3 + 2*f**2 - 3*f + 3. Let n(p) = o*c(p) + 2*b(p). Give n(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2455807 by -10.\nAnswer: 2455807\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 54 and 778533.\nAnswer: 14013594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -9*d**2 + 264*d + 6. Give w(30).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (2*o**2 + 2*o - 2*o)*(146*o + 3*o - 36*o)*(-8 - 5 + 19 + 1) + o**3 + 0*o**3 - 4*o**3 in the form t*o**2 + y*o + l + x*o**3 and give x.\nAnswer: 1579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -82 - -178. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:43 PM and 4:31 PM?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = 7*m - 25. Suppose -h + m*c = -2*h - 21, 5*h + 4*c = 0. Suppose 0*t = h*t + 4*d - 24, 0 = -5*d - 20. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + -3*(-2*(sqrt(117) - (sqrt(117) - sqrt(117)*2)) - (sqrt(117) - 2*sqrt(117)*-2))\/(sqrt(900)*2 + sqrt(900) - 1*sqrt(144)))**2.\nAnswer: 27*sqrt(13)\/13 + 781\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 2*q + 9. Let u(j) = -j - 4. Let r(h) = -h - 3. Let y(g) = -2*r(g) + 3*u(g). Calculate -5*l(w) - 8*y(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0217288 rounded to four decimal places?\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y**2 - 2*y**2 - 3*y**2)*(-y + y + 3*y)*(50 - 108 + 60 - 30*y**2).\nAnswer: 90*y**5 - 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 242 and 311992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 + 48. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 103504*w**3 - 6*w**2 + 7*w + 2. Is l(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(468)*-1)*4 - ((1*sqrt(468) - sqrt(468))*2 + sqrt(468) + 5*sqrt(468)*-1 + sqrt(468)))**2*3.\nAnswer: 144*sqrt(13) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iccic. What is prob of sequence cic?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -143 - -140. Suppose -5*c = 13 + 2. Let y be 12*(c\/6 - 0). Is y <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 8. Suppose 0 = -i*k - 0*k. Let s be (12\/3 - 3) + -5. Put -1, s, k in descending order.\nAnswer: k, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-1 + (sqrt(363) + 2)*-5)**2*-2.\nAnswer: -18387 - 2420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -13*p**2 + p. Determine h(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 - 4 - 14)*(0*s + 3*s - s) - 3401 + 3401 + 70*s)*(0*s - 3*s + 6*s).\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 11731627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1058 is divided by 135?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 892 is divided by 109.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s**5 - 49332*s**4 + 202606248*s**3 + 1626181632*s**2 - 8934423120*s + 9744058944 = 0.\nAnswer: -12, 2, 8226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 165 + -49. Suppose -5*j - i + 184 = -a, j = 3*i + 76. Suppose -4*h = 3*k - 77, h = 2*k - 2*h - 74. What is the remainder when j is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4961.0381 take away 1835?\nAnswer: -6796.0381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -3164 by -1.\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + l - 19 = 0, -4*l = 5*b - 1 - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n - 22 = 283*c - 281*c, c = 4*n + 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in -67, 1\/25, -57, 18\/7?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1762\/9 + -196. Let u = -1 - -13. Sort u, 5, n in decreasing order.\nAnswer: u, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111 a factor of 16338534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-16)\/(-30)*(-5)\/(-2)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12440 + 12465. What is the nearest to 3 in 2\/7, 0.5, c, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 AM and 11:57 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -364, 334, 331 in increasing order.\nAnswer: -364, 1, 331, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32261, -65112, -97963, -130814, -163665, -196516?\nAnswer: -229367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 306183?\nAnswer: 3, 102061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h + 2*p + 50 + 85, -p = 2*h - 97. Suppose -h*s - 2442 = -50*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-188021 - 3701*a + 188021)*(-2*a**2 + a - a) + a**3 + 0*a**3 - 2*a**3.\nAnswer: 7401*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 2 + -1 + 2 - (-46324 - -46352)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-6) + 2\/3. Let g be (-2)\/(-4)*-1*f. Suppose 0 = -3*d - 2*i, g*d - d - 1 = i. Solve j - 1 = -d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.044 times -64\nAnswer: 2.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (((-184)\/(-138))\/(20\/18))\/(28\/(-35))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 157*g**2 + 17*g - 70. What are the prime factors of c(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(-1*2\/(-20)*10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 49, 3\/2, -5, 9\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -782744 or -782746?\nAnswer: -782744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-52)\/(-455))\/(2*2\/(-20)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i + 775 = 5*c + 6*i, i = -c + 149. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 7*j**2 + 6*j. Let k(q) = 6*q**2 + 5*q. Let w(m) = -6*k(m) + 5*v(m). Let y(o) be the second derivative of o**4\/4 - 2*o. Determine y(w(n)).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 2546 = -2*y + 2*k, -3*k - 5097 = -4*y. Suppose 8*u - 1153 = 3855. Let i = y - u. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 134? (a) -0.5 (b) 1\/2 (c) 1\/4 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.376 and -0.2.\nAnswer: 0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2.7 and -699?\nAnswer: 696.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 1\/3*c**3 - 2\/3 + 1\/3*c**4 - c**2 - 5\/3*c = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 657*l + 7753 + 7358 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:55 PM and 8:28 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4993617.\nAnswer: 3, 109, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:04 AM and 4:16 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -19bc - 27183?\nAnswer: -28b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 60 and 1050?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 94, 439, 1012, 1813, 2842?\nAnswer: 4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be 24\/10 - 4\/10. Suppose -w + 5*j - 2*j + 13 = 0, b*w - 3*j = 26. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -73102327*c**2 - 63128330*c?\nAnswer: -146204654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2c1392c (base 13) to base 12\nAnswer: -48a2305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 177571 is divided by 916.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve t = 4*s + 1, 4*t + 14 = 23*s - 21*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2))**(1\/60)*(t*(t\/(((t**(-2\/7)\/t)\/t)\/t))\/t)**(-12\/5))**(23\/3) assuming t is positive.\nAnswer: t**(-49841\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 26229765 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**2 + 3*w - 1. Let d be t(4). Suppose 3*l = m - d, m - 1 = -l + 14. What is the least common multiple of m and 63\/4 + 2\/8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71 = 5*q + 1. Let f = q + -10. Let o = -6 + f. Sort 1, 2, o, 3.\nAnswer: o, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 50997 by 549.\nAnswer: 16999\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 28936169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2 + -157?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**3 + 5*f**2 - 8*f + 10. Let h be r(6). What is h rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*w + 2*w**2 + 5*w**3 + 3*w - w**4 + 4*w + 8*w**2 wrt w.\nAnswer: -24*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(833)*2 - sqrt(833)) - (sqrt(833) + 0 + 3 + sqrt(833)))**2.\nAnswer: 336*sqrt(17) + 53321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*b - 3*b. Let q be (-25199)\/6 + b\/(-12). Round q to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 132 + -127. What is the derivative of y*i**3 - i**3 + i + 8*i + 223 - 2*i**3 + 5*i wrt i?\nAnswer: 6*i**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqfqffqfqqqqqfq.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -469979, -941678, -1413379, -1885082, -2356787?\n\"Answer: -b**2 - 471696*b + 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 94890*b**3*n*u - b**3*u**3 - 21581*b**2*n*u + 2*b**2*u**3 + 6*n*u**3 wrt b.\nAnswer: 569340*n*u - 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 43 - 38. Suppose -6*k = -c*k + 2, 4*s = 4*k. Let j(p) = 9*p + 1. Calculate j(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1338*u + 2120*u - 87228 = -612844 for u.\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 - (-1 - -2)\/((-4)\/(-20)). Is l at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 15 = -4*m, 4*d + 2 = 3*m - 4. Let y(c) = -35*c - 1558. Calculate the smallest common multiple of m and y(-47).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-13 + 1)\/(-1 - -2). Let q = -106 - -120. Let o = q - f. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14*1\/2)\/((-815)\/(-163))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13860 divided by 14.\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 2*f - 3432 - 643 = 0, 5*f = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -11, -2, -1\/2, -0.2, 1198, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 1.8. Which is the closest to -0.02? (a) 1\/3 (b) 1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*z - 2425 - 755 = 0. Suppose 2*l - 5*g + 212 = 0, 2*l = 7*l - 3*g + 492. Let c = l + z. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((-28)\/(-176)) + (-548)\/1918?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*a**3 + 25813*a**2 + 46653*a**2 - 4*a**3.\nAnswer: -11*a**3 + 72466*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5 (b) 357 (c) -3 (d) -134 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-9)*-6)\/(28\/(1904\/(-85)))\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2429 - 2429.2. What is the third biggest value in -0.1, v, -2, -39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the first derivative of -4*v**3\/3 - 1. Let j(g) = 2*g**2 + 3*g + 3. Let i(m) = -m**2 - 2*m - 2. Let o(p) = 3*i(p) + 2*j(p). What is o(q(l))?\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) -6 (c) -22 (d) -206 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -8 times 21328\nAnswer: -170624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 5 = m. Let o(b) = 8*b**2 + 8*b - 9*b**2 + m + b + b. Does 7 divide o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -2*z**3 - 21*z**2 - 2337*z - 20790. Calculate s(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 204 - 202. Solve -4*o = l*o - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 2*i**3. Let c(q) = -q**3. Determine 6*c(z) + g(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qsz when three letters picked without replacement from uuuzuzquuuuqszsusqu?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/52 and 73\/3.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n - 1. Let u be o(-1). Let k(z) = 1 - 8*z + u + 0. Let t be k(-1). Solve -5*p - t = 16, 0 = -5*a - 3*p - 35 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -l**4\/3 - 1843*l**3 - 16370*l**2\/3 + 383136*l = 0.\nAnswer: -5526, -16, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 5*g**4 + 2*g**5 + 0*g - 10*g**4 - g - 5. Let m(p) = 2*p**5 - 6*p**4 - p - 6. Let f(j) = -6*h(j) + 5*m(j). Find the second derivative of f(c) wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -93 + -3?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 897416564 and 2332?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 22 + 82 = 0. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes after 12:46 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23 + 0*x - 44 + 27 - 4*x.\nAnswer: -4*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 132 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*x**4\/5 - 12*x**3\/5 - 9*x**2\/5.\nAnswer: -3*x**2*(x + 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 8*w = -25. Solve w + 3 = 3*p + 5*a, -p + a = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 10 = -3*f + 25, -5*f = -5*o - 25. Let c be o\/4 - 0\/1. Let g(d) = 6*d - 6 + c + 4. Let j(r) = 7*r - 3. Determine -5*g(h) + 4*j(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 438695*a. Let i(b) = -10*b + 5. What is l(i(f))?\nAnswer: -4386950*f + 2193475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2400858140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 24449884 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kqlqllrqkrllqklklk. Give prob of picking 2 q.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.2 and -478.4?\nAnswer: 478.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38, -90, -154, -230?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g - 294. Let i be y(0). Let r = i + -222. Let v = -329 - r. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggogooggggovgogggg. Give prob of sequence gg.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -158*j = -1010 - 1202. Solve 22*k - j*k - 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 - 2*i**2 - 11*i - 11. Suppose 4*b - q - 22 = 0, 2*b + 152 = 3*q + 158. Let f(h) = h**3 + h**2 + 6*h + 6. What is b*n(a) + 11*f(a)?\nAnswer: 5*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 802381 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 34 < 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/10*-15*240\/(-36).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 888 and 2886.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (272*y - 228*y + 9 - 74*y)*(4 + 0 - 2) to the form q + z*y and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 - (13 + (-5 - (-12 - (2 + -15)) - 1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 4 = -2, -2*r - 3*z + 96 = 0. Solve 0 = 3*c + 39 - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 + (-29 - (14 - 36))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 - -7. Find the common denominator of ((-198)\/4)\/(l + 10) and ((144\/(-10))\/2)\/(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 570 divide 226141754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 44 divided by -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the first derivative of -2*k + 5*k**2 + 9 - 16*k - 9*k + k. What is the remainder when w(6) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 330 - 2. Suppose -2*c = -3*d - 5*c + 234, 3*c - t = -d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3, 2047, -7, -1, 0 in ascending order.\nAnswer: -7, -3, -1, 0, 2, 2047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 7*f**2 + 1917*f + 9515. Determine q(-5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 2*i**2 + 5*i + 4. Let r be q(-3). Let b = 322 + -944\/3. Which is smaller: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - 0) + (-1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*(-3*q + q + 99*q**3 - 72*q**3).\nAnswer: -27*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -75*m**3 - m + 13 + 14*m**2 - 13 + 21*m**3 wrt m.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 89608 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) 3 (c) 10.82 (d) -2\/45 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(1*(-2*(-1*sqrt(96) - sqrt(96))*4)\/(sqrt(1728)*-2*3))**2.\nAnswer: -128\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4 + 22\/(-8))*-36. Let s be (-24)\/9*c\/10. Calculate the remainder when 17 is divided by s*((-28)\/8 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wo when two letters picked without replacement from kfwuouw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2*(32\/64)\/(2\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/42)\/(7\/(-4)*28\/(-294)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 6 (b) -0.5 (c) 1\/4 (d) -0.1 (e) 2 (f) 5 (g) 2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 10021432049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -101*x - 23*x - x - 375 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -133852 - -120065183\/897. Calculate the common denominator of x and 14\/1495.\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -528 + 1047 - 4*q - 519.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of -u**8\/1176 + 13*u**7\/147 + 22*u**2. Factor l(a).\nAnswer: -2*a**4*(a - 65)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 359 - 559. What is the common denominator of 2\/4 + v\/(-16) and 41\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1641509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1632 - -1646. Let k = -12 + 17. What is the remainder when d is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 0*t + 13 + 2*t - t. List the prime factors of n(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(70) + sqrt(70) + -6*(sqrt(70) + 2*sqrt(70) + sqrt(70)))\/(-1*sqrt(490)).\nAnswer: 22*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 - -46100203?\nAnswer: 46100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**3 + 5774*u**2 - 8646892*u + 3873779112.\nAnswer: -(u - 3738)*(u - 1018)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 61861 + -61859. Let s = -15 + 14.62. Let j = -1.32 + s. Is w > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of -2\/7*s**2 + 0 + s + 1\/42*s**4 + 1\/21*s**3. Factor t(w).\nAnswer: 2*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-123)\/(-15))\/(12\/2445). Let d = -787 + -863. Let t = d + g. Calculate the common denominator of -43\/26 and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9487*h + 9487*h + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of 3140986369 and -75.\nAnswer: 3140986294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of 3*r**5\/20 + r**4\/4 - r**3 + 5*r. Let i(a) = 0. What is a?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 78, 4\/3, -2, -1.2.\nAnswer: -2, -1.2, 4\/3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*w = 44*w - 4, -3*y = -3*w + 135. Which is the fourth smallest value? (a) -1 (b) -2\/9 (c) y (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -24 + 25 + 3*x**2 + 0*x**3 + x**3 in the form w*x + c*x**2 + h*x**3 + r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.084? (a) 6 (b) -3 (c) 2033\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(108) - sqrt(108)*4)\/sqrt(3))\/sqrt(12) + sqrt(6)\/(sqrt(8)*-5).\nAnswer: -31*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3642.2 times -0.07?\nAnswer: -254.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -574 + 1195. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21 - -21.3. Let b = -62548.300066 + 62548. Let f = b + q. What is f rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 12*p - 58. Let w be (2\/6)\/((-14)\/(-210)). Let s be o(w). Which is the biggest value? (a) -2 (b) s (c) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t and 1 k when three letters picked without replacement from sttaakkaok?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -103100 divided by 122\nAnswer: -51550\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a*a**(-35)*a*a**(-30)*a**(-7)*a**(-1\/37)\/a*a)**(-4\/13) assuming a is positive.\nAnswer: a**(10216\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -4*n + 1. Let x be (1 + -2 + 7)\/n. Solve -3*a + 8 = -3*q - 8*a, x*q - 5*a = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71.70701mm in micrometers?\nAnswer: 71707.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 + -10. Suppose -p - 5*d - 19 = b, -p - 7 = 3*d - d. Suppose -v + 3 - 4 = 0. Sort 4, p, v in descending order.\nAnswer: 4, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the first derivative of 800\/7*k - 40\/7*k**2 + 115 + 2\/21*k**3. Factor a(b).\nAnswer: 2*(b - 20)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 70 - 62. Suppose 0 = 16*m - 8*m + l. Let x be 4800\/((m*(-4)\/25)\/(-330)). What is x rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1875, -570, -4647, -10356, -17697?\nAnswer: -26670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-156 - (-208 - -51)) + (0 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:50 PM and 1:16 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + 3*v - 33, -3*t + 37 = -6*t + 2*v. Let w(p) = -2*p**3 - 17*p**2 + 4*p - 25. Let r be w(t). Calculate the highest common divisor of 320 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 151*m**3 + 2*m**2 - m. Let n be p(1). Suppose 150 = 3*y + 3*u, 3*y - 2*u = -7*u + n. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 21*u + 2. Let a(r) = r**2 + 3*r. Let q be a(-4). Let j be d(q). Suppose -j = -5*c + 4. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 8*n**3 + 3*n**2 - 2*n + 3. What is the remainder when k(2) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 204251406 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 524629 is divided by 174872?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 10 = -3*q + 6, 5*f = -5*q + 20. Suppose -v = -5*c - 9, -v + 0 + 2 = 2*c. Suppose f = 4*o, x - 2 = -v*o + 2. Solve x = t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2809 < 2811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 2*w - 4, -3*w + g + 4 = -12. Let o be (-46)\/33*-3 + w\/(-33). Solve -13 = -o*b + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (12\/195)\/(1\/(-5)). Let t(w) = 2*w**3 + 32*w**2 - 38*w - 67. Let h be t(-17). Is x at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -5*q. Suppose 5*m + n = 0, m = -2*m - 3*n. Suppose 3*f - f - 2 = m. Give h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 36*s**3 + 2*s**2 - 4*s + 2. Let h be y(1). What are the prime factors of 1*-2 - (-6)\/(h\/1194)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-13))\/(1380\/2990).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2.861 + 15.16?\nAnswer: 18.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, n: 1, r: 1, w: 1, m: 2, e: 1}. What is prob of sequence en?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 4, -10, 2, 0, -26, -3 in ascending order.\nAnswer: -26, -10, -3, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*r + 28*c = -27*r + 162, 3*r = 91*c - 95*c + 42 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -7388, -7392, -7396, -7400, -7404, -7408?\n\"Answer: -4*l - 7384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((2\/2)\/1)\/((-378)\/108)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 2620002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l - 18. Let b be j(22). Suppose 5*q - 112 = b*q. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {v: 7, y: 3, u: 2}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -892421 less than or equal to -892424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -437 + -0.6363.\nAnswer: -437.6363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -5 + c**3 - 6*c**2 - 9*c + 7 + 8. Suppose 21 = 3*n - 0*n. Determine w(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 1 = k - 2*o, 2*o - 8 = -5*k. Suppose -3*f - 25 = k*f. Sort f, 0.5, -1 in decreasing order.\nAnswer: 0.5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 44\/5 of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w + 5*s - 40 = -31, 2*w - 3 = s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -37 + 37.00046. What is x rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.14 + -0.36. Let x = 0.6 + l. Which is the biggest value? (a) -0.06 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - (1 - (3 - 5))) + 14 + 0\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*d - 93*d + 62*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the third derivative of m**6\/120 + m**5\/6 + 2*m**4\/3 + 2*m**3\/3 - 2*m**2 - 23*m. What are the prime factors of j(-7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*j - 13*j - 20*j + (3*j + 0*j + 0*j)*(5 + 4 - 5) + j - 2 + 2.\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**2 - 59615*c + 178800.\nAnswer: 5*(c - 11920)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 498761 is divided by 166253.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31970019?\nAnswer: 3, 10656673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22844*a**3 + 112*a**2 - 21463*a**3 - 112*a**2 - 4441*a**3.\nAnswer: -48748*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmhjmmjpm. What is prob of picking 2 j and 1 m?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6965*a**3 - 124*a - 6969*a**3 + 72*a + 52*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -16, 342, 3, -8 in decreasing order.\nAnswer: 342, 3, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 4*w = -0*a - 34, 4*a = 2*w - 32 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**5 - 9*g**3 + 2*g**2. Let a(d) = 5*d**5 - d**4 - 46*d**3 + 9*d**2. Let y(b) = -2*a(b) + 11*h(b). Factor y(s).\nAnswer: s**2*(s - 1)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.2 + -0.4. Let j = -0.2 + 0.3. Put n, -0.5, j in increasing order.\nAnswer: -0.5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 8) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29 - -92. Suppose 0 = 7*o - 9*o - 5*m + 39, o + 3*m = 22. Calculate the highest common factor of t and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8621 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-2 + (sqrt(75) + 0)**2 + sqrt(75) + -1 + -4 - ((2 + sqrt(75))*1 + -3))*6.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 8 = -2*u - 4*l, -5*u + 4*l + 58 = 0. Solve -5*t + 0*t = r - 6, -r + 3*t - u = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -958385*j**2 + 869738?\nAnswer: -1916770*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 61633 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-4)\/(-28) - (-446)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from ozoozoz?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.39399 * 335.\nAnswer: 131.98665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12253*f + 12253*f - 53*f**2 + 12*f**3.\nAnswer: 12*f**3 - 53*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of m**2 - 1\/12*m**4 + 0 + 0*m**3 + 0*m. Let a(f) = -3*f. Give a(l(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -g**5 + 2765*g**2 + 6803*g wrt g?\nAnswer: -20*g**3 + 5530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26649833?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 8359 divided by -643?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 24*i**3*t**2 - 7422*i**3*t + 2*i**3 + 621883*i**2*t**2 - i**2*t + 7*i**2 - i*t + 4*t**2 - 136*t wrt t?\nAnswer: 48*i**3 + 1243766*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 53 + -51 + 19 + 16\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -11*n**3\/6 + 13*n**2\/6 - n\/3.\nAnswer: -n*(n - 1)*(11*n - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, p: 2, m: 2, h: 4}. Give prob of sequence pc.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2663198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -203 + 203.5. What is the third biggest value in 4, 0.1, -1.5, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -5*k + 3*l, -10 = -3*k - 2*l - 0. Let g(t) = t**2 + 3 - k*t - 1 - 1. Is 4 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8936328 - 8936334.960191. Let k = l - -6.96. Round k to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16\/15 and 26 + (-5580)\/217 + 16\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -25*(384\/(-180))\/(-16)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 9053 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 764707064 to the nearest integer?\nAnswer: 27653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**2\/a**(-3\/7))\/(a\/a**(-9)*a*a*a**(3\/2)) assuming a is positive.\nAnswer: a**(-155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 81442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -10727, -20142, -29557, -38972, -48387?\n\"Answer: -9415*f - 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n + 0*n - 4*n + 5*n + 0*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 26*u. Let z(i) = -3*i**2 + 66*i + 8. Let s(n) = 2*n**2 - 42*n - 5. Let q(y) = 8*s(y) + 5*z(y). Determine r(q(k)).\nAnswer: 26*k**2 - 156*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -3*g**3 - 54432*g**2 - 313689015*g - 556256239386 = 0.\nAnswer: -7361, -3422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 89603 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 + 6*h - 9. Give l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7055 - -10096. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 180.79*0.101.\nAnswer: 18.25979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 657.2334s in minutes?\nAnswer: 10.95389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5422549439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -615 (base 10) in base 8?\nAnswer: -1147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1220851, 4883303, 10987383, 19533085, 30520403, 43949331?\nAnswer: 59819863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m + 1. Suppose 61 + 14 = -5*i. Let a be 17\/i - (-8)\/60. Let w(u) = -u + 1. Give a*v(h) + 2*w(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2296 + 10258. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 - 60*w**2 + 1601*w + 93938. Give s(-61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c. Suppose -3*r - 5*g = -6, 8*r - 4*g = 3*r + 47. Let b(i) = 5*i - 8*i + r*i. Calculate b(w(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**2 + 26*y + 124. Let p be o(30). Let f = -7 + 7. Sort f, p, -1, 1.\nAnswer: -1, f, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14044, 28143, 42248, 56359, 70476?\nAnswer: 84599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-1\/3)\/a)**40\/(a**(2\/5)*a**(-11)))**(-2\/67) assuming a is positive.\nAnswer: a**(1282\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 100 - -6206?\nAnswer: 6306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -24 + 40. Let s = 15.66 - b. What is s rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -139172 divided by 69586\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/2925 and 21\/200?\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49 - 55 - 31 - f + 135.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h + 12*i = -6*i + 22*i - 2, 80 = -12*h - 2*i for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*m + 22 = 102. Suppose m*c + 127 - 23 = 0. Does -41\/3 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -16\/5, -0.4, 3, -26 in descending order.\nAnswer: 3, -0.4, -16\/5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 3*i - 2*i - 5 - 4*i. Let w be h(-4). Let u = 17 + w. Solve 0 = 2*m - 5*k + 21, -3*k = 2*m + k - u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2.9? (a) 4 (b) 0.3 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8256 and 162.29?\nAnswer: 1339866.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -153*a - 119*a + 479*a + 59*a as d + z*a and give z.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is (90\/24)\/(87086\/(-174184) - (-18)\/36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 234 + -229. Solve 5*l + 4*z + 29 = 8, 7 = o*l - 3*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1079, -1196, 6, 2, -4, -1 in descending order.\nAnswer: 6, 2, -1, -4, -1079, -1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yln when three letters picked without replacement from {y: 2, i: 2, l: 1, n: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -603995, -1207985, -1811973, -2415959, -3019943, -3623925, -4227905?\nAnswer: -4831883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*y - 6*y = -2*y. Let t(g) be the second derivative of 1\/6*g**3 + 0*g**2 - 1\/36*g**4 + y + 2*g. What is r in t(r) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3395679, 6791354, 10187029, 13582704?\n\"Answer: 3395675*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 430*n = 435*n - 10*u - 470, 5*n = u + 38 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -10425 = 94*a + 71*a - 5475 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 0 - 4*v - 7 + 3*v + 3*v. Let j(k) = -4*k - 44. Let q be j(-24). Let g(h) = -95 + q + 46 - h. Determine 13*g(y) + 6*l(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.36 in -46, -0.5, -1, -2, 18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve g = 3*s - 51, 22786*s - 22788*s + 42 = 2*g for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 11125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**3 - 1. Let d(f) = -83*f**3 + 332. Calculate d(c) + 332*u(c).\nAnswer: -415*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -3309, -3315, -3323, -3333, -3345, -3359?\n\"Answer: -h**2 - 3*h - 3305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -371 (base 11) to base 3.\nAnswer: -121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22654 and 7.\nAnswer: 158578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.438 + 0.57. Let n = 1.02441 - 0.892491. Let j = b - n. Round j to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 682000?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 14*x - 7. Let b(s) = -28*s + 16. Let y(a) = -3*b(a) - 5*n(a). Let m be y(2). Are m and 15 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 964144 is divided by 241032.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 105436*u - 40. What is p(0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 7348 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of -w**9\/45360 + w**8\/6720 - w**7\/3780 - w**4\/6 - w. Let g(y) be the third derivative of p(y). Solve g(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -130*v - 32*v + 62208 = 0. Does 48 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -2793+-0.2\nAnswer: -2793.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-5)\/25)\/(3\/(-45)). Find the second derivative of 4*s + g*s + 22*s**2 - 19*s**2 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1296 and 719880.\nAnswer: 38873520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 - f**2 + f + 1. Let c(o) = 5*o**3 - 6*o**2 - 3*o - 4. Determine c(t) + 4*u(t).\nAnswer: t**3 - 10*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 80 + -78. Suppose 54 = u*w - 4*k, 0 = -7*k + 4*k - 9. What is the remainder when 166 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i**3\/15 - 718*i**2\/15 - 11006*i\/15 - 686 = 0 for i.\nAnswer: -343, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -512*m + 15. Let k(a) = 768*a - 24. What is -8*b(t) - 5*k(t)?\nAnswer: 256*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (5*5\/45)\/((-2)\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -31\/10?\nAnswer: -31\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 286675670 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**2 + 5064*q + 2025261.\nAnswer: 3*(q + 651)*(q + 1037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1609 take away 349734?\nAnswer: -351343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -224 - -3?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u + 9*u = -4*a + 1, -5*a + 2 = u. Is u*(-4)\/(-114) + 155994\/38 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 373585 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -107 + 86. Let k(w) = -42*w - 5. Is k(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 3 + 0)*(-y - y + 0*y) + 2 - 2 - 2*y + y + 0*y - 2*y - y - 18*y - 6*y to p*y + d and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the second derivative of 3*o**5\/20 - 5*o**4 + 56*o**3 - 288*o**2 - 16*o + 12. Find b, given that j(b) = 0.\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.164 times 1.293?\nAnswer: 0.212052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 153 and 6558447.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79 is divided by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -97\/224843216 and 29\/30604.\nAnswer: 1573902512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 975.5 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(6\/5))\/((-38)\/76)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(5 + (sqrt(1539) - -5*(sqrt(1539) + 2*sqrt(1539))) + 5).\nAnswer: -576*sqrt(19) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 - -9. Let l be (-1 - (-3 - -1))*m. Suppose 0*v + l*v = 265. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes after 4:13 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 3*p**2. Let q be 3 + 3 + -3 + 1. Let y = q + 0. Let d(i) = -y*i + 2*i - 3*i + 4*i. Give g(d(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**3 + 4*v**2 - 7*v - 2. Suppose j - 7 = -1. Let z be (j\/(-2))\/(-3)*-5. What is the units digit of f(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 20296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 378 and (-441)\/(-23 - (-816)\/36).\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - 1 - ((3 - 19) + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -157 + 1411\/9. Let x = 0.4 + 4.6. What is the third smallest value in -2, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 110 - 110. Suppose j + 12 = 3*i. Suppose 3 - 7 = i*p, 4*o - p + 55 = 0. Is -13 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = -3*v + 9, 5*v + 0*x = 3*x + 49. Solve -3*c = -v*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -23.02 + 13.01. Let f = k - -8.4. Let t = f + 2. Round t to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - 1 - (-13 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -723, -3, -10.\nAnswer: -723, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -265*x - 12926 - 9489 - 2317 = -1639*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.426 in 2\/3, 2\/33, -2, 2, -2\/7, 6\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 3*f = -10. Let p = 10 + 74. Let l be 2\/(-3) - (-80)\/p. Which is the closest to l? (a) -5 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-34)\/(o*o*o**28))\/(o**(6\/5)*o\/(o*(o\/o**(-10))\/o)) assuming o is positive.\nAnswer: o**(-276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -88*f - 327 = 729 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -12314 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {i: 1, j: 4, o: 2, x: 1, w: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -430, -1551, -2670, -3787, -4902, -6015?\n\"Answer: r**2 - 1124*r + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 2*22.738\nAnswer: 45.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 4, 132, 486, 1180, 2328, 4044, 6442, 9636?\n\"Answer: 19*o**3 - o**2 - 2*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -4, 0, 1631 in descending order.\nAnswer: 1631, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express ((-i - 3*i + 5*i)*(-4 + 3 + 0) - i + 4*i + 4*i)*(17*i - 131*i - 72*i) in the form t*i**2 + k*i + p and give t.\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 14 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (-4 - (-3 - 0) - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*z - 11*z = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 186 is divided by 69.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 49969 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 694175536?\nAnswer: 2, 43385971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -2. Let i(s) = 264 - 18*s + 98 - 334. Let c be (1*(-3)\/3)\/1. Let h(x) = c*i(x) - 2*z(x). Differentiate h(o) with respect to o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 3526 (b) -1\/7 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 7*g - 34. Suppose -5 + 70 = g*v. Solve -3*j - 4 + v = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (-31)\/4 - (-378144)\/(-14976).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/2104 and -115\/56?\nAnswer: 14728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the third derivative of -f**4\/24 - f**3\/3 - 3*f**2. Let b be h(-9). Suppose -6*v = -b*v. Is v >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -63139 (base 13) to base 4.\nAnswer: -223133332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be (56\/(-410))\/((-24)\/60). Let z = k - -394\/287. Suppose 5*d = -5 + 20. Is z not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27542360 divided by 4?\nAnswer: -6885590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from bbebbebbbbbe.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from zkujkkukznkkjkkuk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a + 4 - 0. Factor n**3 + 2*n - n + n + 21*n**a - 18*n**2.\nAnswer: n*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 339? (a) 2 (b) -1\/3 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000029822348 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/38907 and -16\/142659?\nAnswer: 427977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 308 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 4*z = 2, -4*c + 5*z + 2 + 0 = 0. Suppose 4*q - 9 - 3 = 3*p, -q + c*p + 12 = 0. Solve -u + 4*i = -7, -5*u + q*i = -2*i - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 940 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(3\/8))\/(n*n**1)*(n\/n**(-5\/6))\/(((n\/(n*n**(-3)))\/n)\/n)*(n*n*n\/n**1)**(1\/11)\/(n*n\/(((((n**(-1)\/n)\/n)\/n)\/n)\/n*n)*n)**(-3\/35) assuming n is positive.\nAnswer: n**(9941\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.115 + 0.185. Which is the closest to 1\/19? (a) w (b) 0.4 (c) -1\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 58 + -44. Let y = 14.11 - r. What is y rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 12) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*w = -95 - 364 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -3*x - 3 - 6 + 3. Calculate the remainder when 17 is divided by j(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.07 and -15.7588?\nAnswer: 1.103116","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Is 98933785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5409773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 4 = -n. Suppose -n*h - h = -9. Suppose -h*d - 4*j = -d + 6, -5*d = -j + 26. What is the second smallest value in d, -1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 5 + 3)*(-2 + 2 - 3)*(-111516 + 111535 + 54*w + 66*w) to the form o + p*w and give o.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -372*t**4 - t + 229?\nAnswer: -4464*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 + 6*h**2 + 8. What is the least common multiple of m(-6) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -2\/51 (b) 0 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**2 - 36306*m + 290532. Calculate s(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 951*u - 48*u = -26187 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t + 2. Determine x(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 - 31*v**2 - 66*v. What is z(33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*x = -47 + 27 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i + 7. Suppose -11 = -5*t + g + 7, 3*t - 2 = 5*g. Let b be d(t). Determine p so that -94 + 486*p - p**4 + 234 + 26*p**b + 314 - 216*p**2 + 275 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -1, -3, 1078, -2 in decreasing order.\nAnswer: 1078, 13, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3565071, -3565068, -3565055, -3565026, -3564975, -3564896?\n\"Answer: d**3 - d**2 - d - 3565070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**2 - 14*z - 15. Determine s(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1\/40 (c) 2\/43 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-46*(-1924)\/(-11914))\/1.\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes after 7:30 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 0 (b) -0.1 (c) -1\/3 (d) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -3*r**3 - 2*r + 1. Let y be z(1). Let x = y + 7. Solve -t + 27 = 5*b + t, -4*b = -x*t - 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -a (base 12) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) 3 (c) -4 (d) -0.2 (e) 0.6541\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the second derivative of -l**6\/120 + l**5\/60 - 29*l**2\/2 - 5*l - 7. Let p(i) be the first derivative of f(i). Let v(c) = 5*c**2. Give 2*p(t) - v(t).\nAnswer: -2*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 146719157 a multiple of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s - 5 = 9. Let a = s - -1. Which is smaller: -1\/86 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8*84\/(-120))\/((-4)\/10)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + 1*sqrt(468) + sqrt(468) - -1*sqrt(468)*4) + -6*((sqrt(468) - (sqrt(468) + 0)) + -3)**2 + -3)*-1.\nAnswer: -36*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are 1.03 and 612\/3253 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 43778.96 weeks?\nAnswer: 7354865.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 84261 = 3*k + 15081, 0 = 5*k + 2*y - 115272. List the prime factors of k.\nAnswer: 2, 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -142 - (-61 + (-121 - -1)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00094669 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u - 1. Let z(b) = 6*b - 9. Let d = 129 - 130. Calculate d*z(r) + 4*k(r).\nAnswer: -2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 - -7. Let q = m - 7.3. Let j = 1 + -4. Which is the second biggest value? (a) 5 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88929.\nAnswer: 3, 41, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 13362314 (base 7) to base 10.\nAnswer: 1242161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -55005800 rounded to the nearest ten thousand?\nAnswer: -55010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1\/4 (c) -5.2 (d) -1\/2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2*1 + (-15)\/3. Let a be (12\/15 - 21\/(-5)) + 32. What are the prime factors of (-9)\/(l + 0) + a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 13*j**3 + 15*j**2 - 6*j + 71. Let d(w) = 17*w**3 + 14*w**2 - 8*w + 72. Give -3*d(t) + 4*i(t).\nAnswer: t**3 + 18*t**2 + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0 - 0) + -1 + 25. Suppose -3*u - 4*v + 21 = 4, 2*v = -u + 9. Let n be (2*u\/(-8))\/((-2)\/(-48)). What is the highest common divisor of h and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5152230 (base 7) in base 12?\nAnswer: 259686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2.7 in 1\/5, -2, -998, -13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.41 - 21.41. Let g = -21.019 - k. Let z = 0.01838 + g. Round z to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 206*m - 7197 = -61*m + 546. Solve -23 = 3*a - m, -14 = 5*w + 3*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1222221101 (base 3) to base 16\nAnswer: 999a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68*y - 64 = 27 + 181. Let f be 4\/((1 + -2)*-1). Solve 0*o + f*o = j + 24, 4*o - y = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 4*h - 1 = 15, 3*y = 3*h + 12. Solve 0 = -2*w - 5*m - 10, y = -4*w - 2*m + 7 - 27 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-831424)\/23620*15\/(-9)*6\/4\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -27133 + 47661. What are the prime factors of o?\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 27 - 3 = 0. Calculate the smallest common multiple of o and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46287196 a multiple of 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 55 - 64. Let o be (-2 + (-2518)\/16)*12\/h. Let i = 237 - o. Find the common denominator of i and -107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {n: 7, d: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 156 and 7728.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.03 in 5, 0.02, -0.1, -0.48?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 244363*m - 488699*m + 244470*m.\nAnswer: 134*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4\/5, -0.4, -0.03, 0.9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5)\/((-5)\/4) + -3. Let f be ((-1)\/(-2))\/(p\/18). Solve 3*u + 0 = -f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*f + 4 = 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27848 is divided by 696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/((-1)\/4)*312\/96. Let q be (-160)\/20*3\/(-8). Suppose 3*h + 3*o + 30 = 0, -4*h - 5*o - 15 = -6*h. Sort h, q, s in descending order.\nAnswer: s, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 126 + 4*d - 133 - 3*d. Give f(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/3)\/((-5)\/(-45)*-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ybb when three letters picked without replacement from {y: 7, b: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, t: 9, c: 1, i: 3, l: 2, p: 1}. What is prob of sequence pi?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of 1247 and -98.\nAnswer: -122206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 334973757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -45077 or -225392\/5?\nAnswer: -225392\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3125652 divided by 6.\nAnswer: -520942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -s - 9. Let x = 367\/3 + -124. Let g = s - x. What is the third biggest value in -3\/2, g, 2\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 145\/324 and 59\/12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 510 - 3158 = 4*q. Let m be (-1)\/(10\/q) + (-2)\/10. Calculate the greatest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.8537 - -2.87. Round o to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 0*h**2 + h**2 - 3*h**2. Let y(n) = 9*n**2 - 12. Let z(j) = 2*j**2 - 3. Let o(s) = y(s) - 4*z(s). Calculate o(c(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36520201.\nAnswer: 31, 43, 27397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 divided by 147.\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 2*c = -29, c - 5*c = -3*x - 83. Let v = x - -440. List the prime factors of v.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.971 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8*(-24)\/144 + (44668\/3 - 2).\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2238 - 1977. What is the highest common factor of 54 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 119277604, 119277607, 119277610, 119277613, 119277616, 119277619?\nAnswer: 119277622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.8514 + -0.8514. Put -17, 0, v, 3, 1\/4 in descending order.\nAnswer: v, 3, 1\/4, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1422 divided by -3.\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u. Let f(k) = k + 1. Suppose 7 - 37 = -15*s. Give s*a(r) + f(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -q**4 - 6*q**3*t**2 - 21798*q**3*t - 2*q**2*t**2 - 23*q**2 + 2*q*t**2 - 5*q + 1 wrt q?\nAnswer: -24*q - 36*t**2 - 130788*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 50 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4080)\/272)\/(1\/((-1)\/1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5\/9 + 7\/9. What is the closest to 1 in -1\/7, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 116.473551 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -2 (b) 2 (c) -16 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 74, 150, 226, 302?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*d - 3*d + 5*d)*(276*d**2 - 680*d**2 + 135*d**2) + 3*d**2 - 3*d**2 + 2*d**3 - 3*d**3 + d**3 + 0*d**3.\nAnswer: 538*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 - -7. Suppose 0 = -3*m + x + 3. Solve -4 = 3*g - m*t + 2, 0 = 3*g - 4*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -2*x + 33. Let t be q(14). Suppose t*r + 943 = 4798. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -113927\/18474 + 2\/9237. Calculate the common denominator of 132\/150*5*(-50)\/(-32) and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -312858 = 22*r - 24*r - 1451058. Round r to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1235*q + 6971 = -107884 for q.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -0.64499346469+0.4343\nAnswer: -0.21069346469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 86 - 86 - g**3 + 7*g**2 in the form n*g**2 + x*g + v*g**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32364 is divided by 31834.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 61 + 71 + 2052*a + 780*a - 132 in the form p + z*a and give z.\nAnswer: 2832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*t + 4*b, 4*t - 3 = b - 5. Let x = -2 - t. Let u = 4 + x. Solve -u*z - 5*r = 8, 3*z + r = -0*z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -224448242 + 128.\nAnswer: -224448114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 2336922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (0 + sqrt(288) - sqrt(288)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-2 - -4) + (-10 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -34256 - -34259. Let n(w) be the third derivative of -1\/140*w**5 - 7\/2*w**d + 31*w**2 - 1\/4*w**4 + 0*w + 0. Factor n(j).\nAnswer: -3*(j + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -36*s - 4. Calculate v(2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*c + 4*p + 10375 - 10307, p = 4*c - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -2*f**3\/7 - 2022*f**2\/7 - 4036*f\/7 = 0. What is f?\nAnswer: -1009, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 111542574 to the power of 1\/2, to the nearest integer?\nAnswer: 10561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**(3\/2)*i**(2\/9)*(i**(-1))**50)**10 assuming i is positive.\nAnswer: i**(-4255\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 15819 or 15818?\nAnswer: 15818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-78)\/9 - 2\/6. What is the common denominator of 2\/6 - 158\/36 and 170\/12*i\/(-40)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 73.18 + 0.82. Let a = t + -26. Let f = a + -47.959. What is f rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 15\/(-6) - 0 - -2. Let w = 0.04688 - 0.12688. What is the nearest to s in w, -1, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let a be 24\/20*165\/(-132). What is the closest to 1\/53 in 0.5, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9*-0.026.\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 - 5. Sort 0, 3, h.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 694 + 4?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of i**5 - 8*i**4 - 568*i.\nAnswer: 20*i**3 - 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((11 + -11)\/3)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 16.61 to zero dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 0, -4*u + 5*u = -5*k + 70. Suppose 2*v - 5*b = -1 - 9, -4*v + 2*b = 36. Let f = 28 + v. Calculate the remainder when u is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12621 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**3 - 4*p**2 - 6*p + 2. Let w be m(5). Let t be -1 + w\/(-9)*15. Sort 14, -5, t, 3 in decreasing order.\nAnswer: 14, t, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 950 and 8?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 2 - 8 + 0*b + 7*b - 6*b. Let v be c(3). Let l = 5 + v. Solve l*s + 4*q = -0*q + 18, 0 = -4*q + 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -10*b**3 + 1 - 1 - b + b - b**3 + (28*b + 11*b + 15*b)*(2*b**2 + 0*b**2 - 5*b**2) in the form q*b**2 + f + l*b + x*b**3 and give x.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5254 + 5252. Put -4, 3, -919, m in decreasing order.\nAnswer: 3, m, -4, -919","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-60 - -130) + -30 - 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3088\/14 + (800\/70 - 2) + -9. Suppose -a = 4*h - 9, -4*a + 2*h = -a - 41. Calculate the greatest common factor of a and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -422, -640, -860, -1082, -1306, -1532?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 552 and 536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 132 a factor of 322618428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8606*a**3*t + 27*a**3 + 1158*a**2*t - 14*a**2 + 29920 wrt t?\nAnswer: -8606*a**3 + 1158*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 68*p**3 + 4691*p**2 - 67*p + 117. Determine y(-69).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnygnnyxnynytn. What is prob of sequence gtx?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -14.8483 to one decimal place.\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (635*f - 1271*f - 66 + 638*f)*(-4 + 5 + 1 + (1 - 1 + 1)*(-2 - 2 + 5) - 4 + 4 - 1 + 2 - 6 + 2 + 0 - 4 + 8).\nAnswer: 8*f - 264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 118295, 236591, 354887, 473183?\nAnswer: 591479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1516, 478, -1264, -3716, -6884, -10774?\n\"Answer: -a**3 - 346*a**2 + 7*a + 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-3)*o**(2\/7)\/o)\/(o*o**(-1))**(-1\/9)*(o*o*o\/(o**7\/o)*o*o*o*o**5)**(-1\/6) assuming o is positive.\nAnswer: o**(-191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2557001748?\nAnswer: 2, 3, 7, 53, 499, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gfg when three letters picked without replacement from {g: 3, f: 1, p: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m + 3*m = -3*d - 5, -m - 6*d + 275 = 295 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 625778 and 4448.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11655294.\nAnswer: 2, 3, 7, 359, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-15*f**3 + 6*f**3 + 4*f**3 + 2*f**4 - 3*f**2 + 3)*(-1 + 4 + 4)*(-1 + 5 - 2) in the form w + b*f**4 + d*f**2 + z*f**3 + y*f and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k - k + 75. Let y = 15 - k. Solve 3*h + 0*h = y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-6735)\/(-45))\/(1\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 (base 13) in base 3?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, h: 2, o: 2, d: 3, r: 6}. What is prob of sequence rdd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b**3 + 6*b + 6. Let w(r) = r - 1. Let z(l) = -s(l) + 6*w(l). Let i(f) = 1. Let t(h) = -4*i(h) - z(h). Find the first derivative of t(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 23d43 (base 15) to base 4.\nAnswer: 123322323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 4860582680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the second derivative of -b**4\/12 + 5*b**3\/3 + 3*b**2 + 4*b. Suppose 16 = 4*t + 5*y, 3*t + 5*y - 3 = 4. Let o be r(t). Solve 4*s + 3 = o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 + -6. Let n = 7 + l. Let v(r) = -r - 1. Let c be v(-3). Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -9923\/7 or -1417?\nAnswer: -1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 161534*f. Let q(p) = 2*p + 16. Determine q(i(r)).\nAnswer: 323068*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 381.9 + -365. Let u = b + -16.951. Is 1\/4 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2514*p**3 + 4890*p**3 + 23914*p**3 + 4398*p**3.\nAnswer: 30688*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 9345503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 1289*c**2 - 1037*c + 1. Is y(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of 3*k**4\/4 + k**3\/3 - k**2\/2 - 4. Give z(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes before 6:34 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - 4, -4*c + 3*c = -3*k - 17. Let a(v) = -13 - 2*v**2 - 11*v + 3*v**2 + 3*v. Calculate the least common multiple of 20 and a(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1927 + 1629*g + 963 + 964 as k + z*g and give z.\nAnswer: 1629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jj when two letters picked without replacement from jcjjjjjjjjjjj?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-2 - 0)*-8. Let m(t) = 2*t - 377 + 186 + 183 + 20*t**2 - 14*t**3. Let s(n) = -5*n**3 + 7*n**2 + n - 3. Let a(i) = l*s(i) + 3*m(i). Factor a(q).\nAnswer: -2*q*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(-3))\/((-15)\/(-4)*(-690)\/1035)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15601 - -15603. Let -3\/5*o**y - 66\/5*o - 363\/5 = 0. What is o?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/1656 and 53\/133860.\nAnswer: 803160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -g**3 - 307 + 3*g - 257 - g**4 + 517 in the form q*g**3 + m*g**4 + j + l*g + f*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.883347 and 1.5.\nAnswer: -1.3250205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*p**4 + p**4 - p**4 + (-2*p**3 + p**3 + 3*p**3)*(p + 0*p + p) + 3*p**4 + 0*p**4 - p**4 + (3*p + 3*p - 5*p)*(16*p**3 + 9*p**2 - 9*p**2).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1607 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 2*u - 16 = 0, -31*y + 37 = -27*y + 3*u. Calculate the remainder when 4483 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -22*r - 6. Calculate the remainder when p(-3) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9218719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*u - 359 - 487. Suppose 31*g - u = 30. Solve -m = -g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5\/9615291 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 4*q**2 - 13*q + 1. Let a be g(4). Suppose a*c + 798 = 7*c. Let o = c - -131. Sort 7, -4, o in ascending order.\nAnswer: -4, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 147 divide 309877323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3327, -13218, -29719, -52842, -82599?\nAnswer: -119002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5c + bba?\nAnswer: c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4086300 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/f**(-3\/4)*(f**7*f)\/f*f assuming f is positive.\nAnswer: f**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 295100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 56458, 56457, 56456, 56455, 56454, 56453?\n\"Answer: -k + 56459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 24*j - 5*j + 2*j**4 + 9*j as r*j**4 + m + t*j**3 + g*j**2 + y*j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*l = 2*x + 29*l - 1, -5*x + l + 10 = 0. Solve o + g - 12 = -3*o, 0 = x*o - 2*g - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 9942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(2 + 2*sqrt(891) - (0 + -2*sqrt(11) + sqrt(11) + 2))**2 + 0.\nAnswer: -3971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 24\/5 in 0.1, -1\/10, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -896ab2 (base 13) to base 7.\nAnswer: -36363043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 + -2. Find the first derivative of 37*m**2 - 37*m**2 - m**4 + 33 + 3*m**x wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*f**2 - 576 - 5*f**2 + 576.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -325 + 329. Suppose 4*a - 1650 = -5*s + 2130, 2*s - 1500 = -k*a. What are the prime factors of s?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes after 11:14 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -46*i**2 - 7*i**5 - 6*i**5 - 6*i**5 wrt i.\nAnswer: -1140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3\/2*i**5 - 3*i**3 + 0*i + 3\/2*i**4 + 0*i**2 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5 and 17975.21?\nAnswer: -89876.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -39 - 94 - -128 - (-7 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i**(-1\/8)*i))\/(i**(-19\/4)*i)*i*i**(3\/5)*i**(-2\/7) assuming i is positive.\nAnswer: i**(1173\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 362205 is divided by 241?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express s**3 - 7 - 4*s**3 + 6 + 2*s**3 + 16*s**2 in the form g*s**2 + j*s + n*s**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:08 AM and 10:10 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10100 - -101011101010111100?\nAnswer: 101011101011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -3*u - 11. Let g(t) = -5*t. Let y be g(1). Let x be s(y). Factor -4*d**5 - 16*d**2 - 7*d**4 - 24*d**3 + 0*d - x*d - 9*d**4 + 0*d.\nAnswer: -4*d*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 14\/33?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2\/(-7))\/((-6)\/42). Let g(p) be the first derivative of -6*p**2 - d - 3 - 2 + 3*p**2. Let q(i) = -i. Determine q(g(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 79 = 7*n. What are the prime factors of 1 + 1 - 3\/(n\/(-400))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -8 (b) -0.149 (c) -238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-17*u - 26*u + 45*u - 12)*(31 + 31 - 100) in the form q*u + a and give q.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*p - 26167 = 284899. Calculate the highest common factor of p and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + 2*-1 - -2. Suppose -3*a + 18 = -4*y - 24, 2*a + y - 28 = 0. Let h be ((132\/(-36))\/11)\/(2\/(-60)). Solve s - 4*s = -2*d + a, 2*d + m*s = -h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -9*o**3 - 2*o**2 - o + 2. Let f be s(1). Let n = f - -15. Solve 3*l - 15 = 5*c, -19 = n*l + 5*c - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h + 0*h - 5*h + 3*h in the form w*h + a and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 11 - 2027. Suppose b = 5*r + 3*r. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -2\/9 (b) -128 (c) -0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((2 + sqrt(704))*2 + -1 - ((-2 + sqrt(704))*1 + -4*(-2 + sqrt(704) + sqrt(704))))**2.\nAnswer: -432*sqrt(11) + 57033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p - 7 = -3*l - 16, 0 = 3*p + 4*l + 14 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7372704 is divided by 223406.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 82, -5 in ascending order.\nAnswer: -5, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the third derivative of l**6\/12 + l**4\/12 + 2*l**2. What is the second derivative of m(h) wrt h?\nAnswer: 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 4*q**2 + 3*q - 3. Let x(d) = -5*d**2 - 4*d + 4. Let m(p) = 3*x(p) + 4*y(p). Let n(z) be the second derivative of -13*z**3\/6 - 313*z. What is m(n(c))?\nAnswer: 169*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s**3 + 40*s**2 + 80*s = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 5824*w**3 + 2*w**2 + 6*w - 2039. Let u(z) = -5824*z**3 - 3*z**2 - 9*z + 2040. Let o(r) = -3*i(r) - 2*u(r). Find the first derivative of o(b) wrt b.\nAnswer: -17472*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -61 + 87. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 181240, 181151, 181062, 180973, 180884?\n\"Answer: -89*p + 181329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - -7\/3. Let y(n) be the third derivative of 1\/60*n**5 + 0*n + v*n**3 + 1\/12*n**4 - 2*n**2 + 0. Let z(m) = m**2 + 2*m + 2. Determine -6*y(q) + 5*z(q).\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 1)*(25 + 1953\/(-42)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**3 + 10*t**2 - 12*t - 8. Let a be r(-11). Suppose -2*s - 3*s + 4*o + 23 = 0, -a*s + 5*o = -6. Suppose s*q = 3*q. Which is smaller: -2\/5 or q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 85 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 84*k**3 - 40*k**2 + k + 2. Give v(2).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -2*g - 13. Let i be w(-5). Let j be i + 6 + 4\/2. Let x be ((-5)\/(-30) + (-28)\/24)*-3. Sort j, x, 0, -3 in descending order.\nAnswer: j, x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 229, -3, 27 in decreasing order.\nAnswer: 229, 27, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be (14 - 16)\/(2\/(-4)). Solve -1 = -b + f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 30*m**2 - 30*m**2 + 105*m + 2*m**4 + m**3 to the form f*m**4 + v*m**3 + j + g*m + o*m**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3538670265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**3 - 17*v**2 + v + 24. Let n be i(-17). Let d = n - 4. Solve 2*f + 2*a - d = 3, -f + 2*a - 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 100111 (base 2) to base 16.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + j + 0 - 3*j)*(-187 + 87 + 267 + 509).\nAnswer: -1352*j - 676","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 8896.431 litres to millilitres.\nAnswer: 8896431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 38 divided by 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(1125))\/(sqrt(9) + sqrt(72)\/(1*sqrt(8))) - ((4 + 2 + sqrt(80))*3)**2.\nAnswer: -1044 - 859*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1468 + 1468. Let g(c) be the first derivative of 19 + 3*c**5 + 0*c**3 + 0*c + w*c**4 + 13\/2*c**2. What is the second derivative of g(j) wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -217.0522 - -0.0522. Let m = -217.0121 - y. What is m rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/6)*t*(t*t\/(t**45\/t))\/t)\/(t*t**(-8\/9))**(-38) assuming t is positive.\nAnswer: t**(-683\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -3*v + 7388 - 940, 0 = 2*v - 6. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of p**3*u**2 - 3*p**3*u + 81*p**2*u**3 + 7*p**2*u - p**2 wrt u.\nAnswer: 2*p**3 + 486*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23509, -188185, -635171, -1505623, -2940697, -5081549?\nAnswer: -8069335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-1)*(-444)\/592?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 384 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 98950 + 0.1.\nAnswer: 98950.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 62 divide 11826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (1 + -2)*(-189)\/(-42) - -5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (40\/(-12)*(-11)\/55)\/(18 + -17). Factor -o**3 + 0 + 1\/3*o - j*o**5 + 1\/3*o**2 - 5\/3*o**4.\nAnswer: -o*(o + 1)**3*(2*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.204 + -4.324. Let a = v + 6. What is a rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.8749555 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6a11 - -5a69?\nAnswer: -b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 48 + -58 - (23 - (3 + -14))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*j + 8 + 25*j**2 + 13*j - 20*j - 7 to w*j**2 + m + d*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -306*s + 4804 - 4804 - 2*s**2 to the form d + p*s + r*s**2 and give p.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-9) - (-15)\/5)\/((-44)\/(-264))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 2*u. Let h = 73 + -71. Let n(c) = -30*c**2 + 4*c + 18*c**h - 4*c. What is s(n(b))?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (j - 3 - 3*j + 0*j)*(2804 - 2262 + 4452) to the form f*j + d and give f.\nAnswer: -9988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 3. Let q be (-4)\/2 + d - 2. Let w = -7 - q. Which is the biggest value? (a) 0.5 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 175 and 8740.\nAnswer: 305900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.07? (a) 0.2 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + 210222031?\nAnswer: 210222023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 3*k + 6. Let q(p) = -10*p - 18. Let h be (5 - -9)\/(-1) - (0 + 0). Let d be 24\/h - (-26)\/(-91). Let c(x) = d*q(x) - 7*j(x). What is c(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 r, and 1 i when three letters picked without replacement from iiibrkix.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 109 - 97. Calculate the greatest common divisor of l and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8125*c - 45*c**4 - 6185*c**2 - 1690 + 1335*c - 425*c - 1115*c**3 = 0. What is c?\nAnswer: -13, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 63 - 26. Let d = t - 37. Let o = 29\/8 - 327\/88. What is the nearest to d in 5, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -18709, -19066, -19421, -19774, -20125, -20474?\n\"Answer: n**2 - 360*n - 18350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**2 - 5*u - 5. Let m(j) = j + 1. Suppose -3*a + a + 12 = 0. Suppose -a*b - 10 = -b. Let z(n) = b*h(n) - 18*m(n). Solve z(o) = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6435727433.\nAnswer: 6435727433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 + 1)*(0*r + 0*r + 3*r)*(16 + 105 + 8) - 2 + 3*r + 2 to the form j + l*r and give l.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -321 - -320.7. Let x be 3\/4 - 2\/4. Suppose -4*d + 86 = 5*l + 104, -3*d - 10 = 2*l. What is the closest to t in -5, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (158 - 108 - 104)*(4*m - 5*m + 0*m)*(16 - 21 - 43 - 6) to the form q*m + b and give q.\nAnswer: -2916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be (9\/12)\/((-17)\/49). Let q = -24\/17 - a. What is the fourth smallest value in q, 3, -1\/4, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 34684992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -31199540 + 45676108469\/1464. Let p = l + -29\/488. Calculate the common denominator of -33\/2 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 810 divided by -10?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 234551299 to the power of 1\/2, to the nearest integer?\nAnswer: 15315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the first derivative of -19*i**2 + 17*i + 145. Let j(w) = 13*w - 6. Give 17*j(z) + 6*o(z).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-35)\/(-105))\/(0 + 4\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/(-228)*114\/456.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is ((-14)\/(-8))\/(1\/116*11\/143) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 5 = 0, -2*i + 77 = 3*o - 65. Suppose -22 = -2*d, n + 991*d - 77 = 992*d. What is the highest common divisor of o and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/15, -2, 0, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 125 and 1980648625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8 - -27. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 13464526 (base 8) to base 11\nAnswer: 1798241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from evefweqwe. What is prob of sequence ewv?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -10*s + 2. Determine a(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.5 in -9, 0, -2, -2\/185, -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 32 = y - 4*y, 0 = y + 2. Suppose -2*s + 5 + o = 0. Is 7 a factor of s*3\/2 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g*g*g*g**(-1)*g*g)\/g)**43*g*g*g*g\/g**(2\/13)*g\/(g**(-4\/3)*g))\/((g**1)**48*(g*g\/(((g**(-1)\/g)\/g*g)\/g))**(-9)) assuming g is positive.\nAnswer: g**(6793\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -51, -70, -89, -108?\n\"Answer: -19*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 6, -2, 0.06, -1\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -564*y - y**2 + 285*y + 279*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30459 is divided by 15228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -43 - -44. Suppose 0 = 4*n + u, -2*u + 3*u = -3*n - 1. Are n and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -12*m**2 - 149*m + 3*m**2 + 3*m**2 + 151*m + 2034 + 9*m**2 as v + f*m + k*m**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 4*f - 9. Let b be (-6)\/(-4) + 14\/4. Let n be r(b). Let u = -5 + n. Let o(p) = -p**2 + 7*p - 9. Give o(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -267 - -2?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 2*d**3 - 15*d**2 - 10*d + 10. Let z be c(7). Let l = z + 310. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/(-14) - 4\/14. Suppose -276*g + 264*g + 48 = 0. Solve -g*v + 4*x = -s*x, 4*x = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2*b**2 - 14*b - 4. Let o be d(-3). Let k = -51 + o. Suppose -6*p + 12 = -k*p. Calculate the highest common divisor of p and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 729 - 181 + 334 = 126*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5.1948 - 0.1948. What is the nearest to 1\/21 in c, -2\/13, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 3*i**3 - 3*i**2 + 12*i - 30. Determine q(3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -12*g. Let q be ((-7)\/21)\/((-2)\/120). Suppose 0 = 3*y - j - q, -j = 5*y - 10 - 10. Let a(b) = -y*b + 2*b + 2*b - 4*b. What is n(a(r))?\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -954*d - d**4 - 16*d**2 - 4 + 954*d in the form a*d**4 + t*d + y + j*d**3 + n*d**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -9 (b) 2\/13 (c) -8\/23 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 - 5)\/(-1 + 11\/12). Suppose 226*m + 80*m**4 - 6*m**2 - 268*m**3 + 32 - 50*m + 102*m**2 + f*m**2 = 0. What is m?\nAnswer: -2\/5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -32 - 1220?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -21548 - -21553. Let u(x) be the second derivative of i*x + 0 - 1\/180*x**5 + 1\/54*x**3 + 1\/9*x**2 - 1\/54*x**4. Solve u(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 685399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-120)\/48)\/(1\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 + 21\/6)*2. Suppose 4*z + b = 3*z + 49997, 0 = 4*z + k*b - 199991. Round z to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1163.07 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -8*f**2 - 39*f**4 + 1 + 9*f**2 - 208*f + 211*f in the form c*f**2 + l*f**4 + r + q*f**3 + w*f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-1)\/(-48)*-316 - 0 and ((-61)\/(-6))\/(15\/(-2)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1800480 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*3\/9*18*1\/21.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 51, 216, 491, 876, 1371?\nAnswer: 1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 874*n - 5. Let f(j) = -437*j + 3. Let z(d) = 11*f(d) + 6*y(d). Let c be z(3). Suppose -248 - c = -2*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -23*m**3 - 1. What are the prime factors of z(-1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - 2 + 3, -4*n = i + 2. Does 36 divide 0\/i - 1\/(3\/(-228))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*n**4 - 2*n**4 + n**4 + (-3 + 12 + 1 + (1 - 4 + 2)*(4 - 3 - 2))*(n**4 + 0*n**3 + 0*n**3).\nAnswer: 13*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from kwkwkkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1753 - -1749. Let m(a) = 0*a**3 + 5*a**2 + 2*a - 1 + a**3 + 7. Let y be m(z). What is the highest common factor of 112 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.26281 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 190 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -633371826*z**4 + 553510055 wrt z?\nAnswer: -2533487304*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 317393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -31\/4 + 8. Which is the nearest to -1\/4? (a) 3 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -43*t - 351. Let l be h(-10). Let z = 125 + -192. Let n = l + z. What is the smallest common multiple of n and 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 235*t - 330 + 150 = 290 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/25047 and 61\/317262.\nAnswer: 951786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2350324*4.\nAnswer: 9401296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -111.6 - -111.59999747. What is q rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19 + 3 + 7 - -44) + -7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 36594 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 23595185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l + 232 + 98. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 0.2 (b) -5 (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u**4*u)\/(u*(u\/((u\/(u\/(u*u**(2\/17))))\/u*u))\/u))\/((u\/u**(3\/5))\/u)**(-13))**(1\/45) assuming u is positive.\nAnswer: u**(-76\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 598 is divided by 58.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = -2*a + 3*c, 2*c + 80 = a + 91 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.937 - 0.063. What is the second smallest value in r, -5, 55, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the second derivative of v**4\/12 - 2*v**3\/3 + 6*v**2 - 2*v. What is the remainder when f(4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 5.0184*-9\nAnswer: -45.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 7*n - 17. Let l be m(3). Suppose 3*o = 3*i - 342, -l*i + i - 372 = 3*o. Is -118 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/26*(6 - (2 - -2)). Put g, -0.2, 3\/4 in decreasing order.\nAnswer: 3\/4, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 230 is divided by 67?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 13 = s, -58 - 43 = -5*s + 4*r. Let a = 98 - s. Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-i + 0*i - 5*i)*((10 - 12 - 8)*(3*i + 0*i - 4*i) + 5*i - 5*i - 4*i)*(-2*i - 4*i + 5*i) to n + l*i + k*i**3 + r*i**2 and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 5*y + 30, -5*l = y - 25 - 1. Let g(f) = 9*f + 1. Let v(n) = -18*n - 2. Calculate l*g(r) + 3*v(r).\nAnswer: -9*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*t**3*w**2 + 33*t**3 - 41*t**2*w + 9*t**2 - 8*t*w**2 + 2*w**2 wrt t?\nAnswer: 48*w**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -82 + 119. Is 37 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = 34*x - 33657. List the prime factors of x.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39 + -8612.\nAnswer: -8573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 - 7.75. Let l = d - 0.15. Sort l, -2\/11, 5.\nAnswer: -2\/11, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 7*q**2 - 4*q - 26. Is c(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -16*w**2 - 118*w + 1330. What is r(10)?\nAnswer: -1450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 25*a*n**2*x**3 + 2*a*n**2*x**2 + a*n**2 - 48*a*n*x**3 - 3*a*n*x wrt n?\nAnswer: 50*a*x**3 + 4*a*x**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w + 2*o + 8, 0 = 5*w - 4*o + 2 - 4. Let q be 1*-2*(1 + -2). What is the lowest common multiple of 21 + q + w + -1 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -374?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -4*w**3 - 2*w**2. Let x(s) = -3*s**3 - s**2 + 1. Let a(k) = -4*l(k) + 5*x(k). Let u be a(-3). Suppose u = y + 3. Is y greater than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -17*m**3 + m**2 + 8*m + 2. Let n be ((-8)\/8)\/(4\/12). Is i(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**5 + 2*u**5 + 2*u**5 + (2 - 4 + 3)*(-30*u + 30*u + 8*u**5).\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 10? (a) -4 (b) 53 (c) 13 (d) 14 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -291, -290, -289?\n\"Answer: f - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 - 23*g**2 + 106*g + 27. List the prime factors of f(20).\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 102608 and 259382.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*p + 4079 = -305. Let v = -77 + p. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 424 and 2420?\nAnswer: 256520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (82*a + 110 - 110 + 9*a)*(33*a**2 - 14*a**2 - 17*a**2 - 4*a**3).\nAnswer: -364*a**4 + 182*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 36 and 2466.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 9, n: 11}. What is prob of picking 2 n?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.18 + -2.05. Let x = i + -0.13. Which is the smallest value? (a) x (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 2*w - 2. Let l = 4 - 3. Let x be r(l). Suppose -5*s = -x*s + 4000000. Round s to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (d + d + 0*d)*(0*d**4 - 4*d**4 + 2*d**4) + (6*d + 3 - 3)*(-3*d**4 + d**4 - d**4).\nAnswer: -22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-14)\/(-10))\/(7\/(-17050502)) - (-84)\/210. What is g rounded to the nearest 10000?\nAnswer: -3410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 928995961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.431 + -0.131. Which is the third biggest value? (a) 3 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 887 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 18\/1*(-16)\/(-32). Let t be (-2 - (6 - 5))\/(o\/(-21)). Let q be -1*(0 + 0) + 91. What is the greatest common factor of t and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k - 42 = -14*k. Let 8\/3*r**3 + 4\/3*r**k + 2\/3*r**5 - 8\/3*r**4 - 10\/3*r + 4\/3 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -29, -60, -107, -176, -273, -404, -575?\n\"Answer: -c**3 - 2*c**2 - 18*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -4*c - 1. Let x be u(1). Let w(m) = m**3 + 5*m**2 - m - 3. Let d be w(x). Let h = 3 + -3. Sort d, -5, h.\nAnswer: -5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**3\/2 + 207*z**2\/2 - 411*z\/2 + 205\/2.\nAnswer: -(z - 205)*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 13\/5 in 2\/17, -2, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiiiiyiy. Give prob of sequence yyi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 55825493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes before 2:33 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the first derivative of -d**3\/3 - 4*d + 19. Suppose 3*o + 13 = 4*s, 5*o + 6*s = s - 10. Give x(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 1463*s**2 - 2*s + 2. Is u(2) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c + 1. Let v(u) = 4*u + 16. Let h(o) = -15*i(o) - 3*v(o). What is the units digit of h(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 23 + 2. Let w = o - 24. Is w greater than or equal to 5\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t + 5 - 12*t**2 + 13*t**2 - 7*t**2. Let c(m) = m**2 - 1. Let p(x) = -33*c(x) - 6*g(x). Factor p(h).\nAnswer: 3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x + 0*x - 5*x + (-2 - 2 + 6)*(-2*x - x + 2*x) + 5*x - 4*x + 0*x)*(-3*x**3 - x**3 + x**3).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 2*x - 10. Suppose -2*z + 7 = g - 6, g = -4*z + 19. Let s be m(g). Solve 2*k - 12 = s*l, 0 = 2*k + 6*l - 2*l + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2914?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) -27 (b) 18 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3543.\nAnswer: 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v - 2*o + 4*o - 292, 5*v + 520 = -5*o. Let u be (638210\/(-8))\/((-25)\/v). Is u\/(-45) - (6\/(-27))\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2461?\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes before 5:19 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-8)*((-4)\/(-130))\/((-1596)\/1995)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 43246 (base 7) to base 6.\nAnswer: 121501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 8) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -23? (a) -0.3 (b) 1\/2 (c) 2\/7 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t - 10. Determine r(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m - 5*h = 70, -78 - 118 = m + 53*h + 700 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-6948760)\/108836 - (1 + (-11)\/13)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4893)\/(-540))\/7 - 5520\/4416.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -3058 divided by 278\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:34 AM and 1:04 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-132)\/(-20) - (-48)\/(-8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -5\/4, -46, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 3164*h - 16037. What is q(5)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5*d + 2*d + 2*d)*(0 - 11 + 3) - 1 + 1 + 3*d + (7*d + 4*d + 0*d)*(-1 - 1 + 0))*(-5 + 5 - 1)*(-3*d + 6*d - 2*d).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 25620603 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 491, 487, 473, 443, 391, 311, 197?\n\"Answer: -o**3 + o**2 + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 2*u**2 - 9*u - 3. Let g be m(-4). Calculate the highest common divisor of 26 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1349375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 s, and 1 t when three letters picked without replacement from {t: 2, u: 2, y: 1, x: 1, s: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 13*t**2 - 2*t - 16. Let p be h(7). Let l = p + -319. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.827*-2.4\nAnswer: -1.9848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -49*h + 604. Let u be g(12). Solve -3*v = -4*b - u, -2 + 6 = 2*v + 4*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 942*r - 18345 = 565*r - 5904 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 h and 1 s when four letters picked without replacement from ffnffffffpnsfnshnhh?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 565 - 499. What is the remainder when 197 is divided by o?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (9\/(-3))\/(429\/(-715))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -155, -154, -153, -152, -151, -150?\n\"Answer: t - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 384, 1788, 3192, 4596, 6000, 7404?\n\"Answer: 1404*m - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -87.96 and 4.\nAnswer: -351.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 2775 by 69.\nAnswer: 925\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -35*q + 22. Let p(y) = -9*y + 5. Give 9*p(s) - 2*x(s).\nAnswer: -11*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 69947358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 266591574 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -6 (b) -2.3 (c) 17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (-547990)\/(-4) + ((-35)\/10 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {c: 5, w: 2, d: 3, q: 7, h: 3}.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 3*u**2 - 59*u - 8. What is p(20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + 451521446?\nAnswer: 451521453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -14) + -6 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-427)\/4845 - 3752\/(-7973) - (-1)\/(5\/(-2))\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 - n. Let t = -18 - -16. Let v(b) = 3*b**3 + 2*b. Let d(w) = t*v(w) - 5*a(w). What is the second derivative of d(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0456096924 rounded to five decimal places?\nAnswer: 0.04561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 1 g when three letters picked without replacement from {g: 3, i: 2, y: 13}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**3 - 14*d**2 + 6*d - 48. Calculate the remainder when 178 is divided by r(14).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2 and 108202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 375 a factor of 616875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*y + 89468 = -17*y + 19368. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -109, -118, -141, -184, -253, -354?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -37\/14 and 57*((-3)\/8)\/(6\/4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*v + 425 = -147 - 634 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15 - 5. Let j = p + -11. Sort 1\/2, j, 4.\nAnswer: j, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes after 12:06 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -82670 rounded to the nearest 1000?\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0496718447 to 4 decimal places.\nAnswer: -0.0497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -i + 1, 4*p + 0*i + 4 = 4*i. Let n(q) = q - 2 + 1 + 0*q**2 + 8*q**2. Let g be n(2). Solve -5*z + 4*c = p, 2 = -5*z - 3*c - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3344 and 91656.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) -3\/5 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 5*f = 12. Let m(b) = -b + 4. Let x be m(0). Suppose 0 = -5*y - 536 + 551. Put y, x, f in descending order.\nAnswer: x, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (7 - 6) + (-23)\/(2\/(-2)). Calculate the greatest common divisor of 264 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 0*w + 46 = -2*k, 3*k = 3*w - 111. Let x = -23 - k. Suppose 0 = 4*q + x - 30. Solve 0 = 4*n + q*j - 37, -5*n + 58 = 4*j + 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 73*t**5 + 29*t**5 - 28*t**5 + (5*t**4 - 3*t**4 + 0*t**4)*(2*t - 2*t - t) - 40*t**2 + 40*t**2 + 68*t**5.\nAnswer: 140*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -5*w**2. Let n = -101 + 103. Let t(b) = -178*b**n - 187*b**2 + 364*b**2. Determine j(t(f)).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 6 = -2*n, 32 = 4*n + 2*d - 4*d. Suppose -33 = -n*x - 5. Suppose -2*i + x*i - 63 = -b, 3*i = 9. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/60)\/(13\/4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2178 and 11253?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 5*t + 4740 = 0, 13*m - 11*m + 5*t = 4740. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (g + 2*g + 3*g)*(0 + 1 + 0)*(3*g**4 - 3*g**4 + g**4 + (g**4 - g**4 + 4*g**4)*(-1 + 3 - 4)) - 2 + 2*g**5 + 2.\nAnswer: -40*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -38\/9 + 73\/18. Let r = 126\/5 + -25. Which is the second biggest value? (a) r (b) o (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1030302022 - -3?\nAnswer: -1030302013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*3\/18*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 8387, 8380, 8369, 8354, 8335, 8312?\n\"Answer: -2*w**2 - w + 8390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2638 + -114815?\nAnswer: -112166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -426\/19, 1, 29.9, 0.2?\nAnswer: -426\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -1\/8, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 4220849353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 68402752 and 74621184.\nAnswer: 820833024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.0182 - 3.0182. What is the fourth smallest value in -6, d, -5\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 47*i - 47*i - 4*i**2 to the form y*i**2 + h + z*i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-86 - -1259)\/(2\/(-22) - 0). Let j = 36002 + m. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.9 - 3.4. Let z(f) = -f**2 + 2*f + 5. Let d be z(4). Let p = 5 + d. Which is the second smallest value? (a) p (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 + (2 - (-2 - -2)) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 + -4)*4\/(-6). Let t(a) = -a**3 - 4*a**2 - 2*a - 4. Let r be t(-4). Factor -5*h - 3*h**2 + h**r + 0*h**3 - m + 4*h**3 + 0*h**4 - 3*h**3.\nAnswer: (h - 2)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5891 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -97*y**2 - 96*y**2 + 194*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dmaqmrqaaqfrmff. Give prob of sequence qq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23720112 divided by -156.\nAnswer: 152052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4568?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -2*b + 22110, 0 = c - 3*b - 2552 - 2986. What is the highest common factor of c and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 1898598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 4*j = -j + 29, -2*j + 10 = 0. Let f = 1 + -1. Solve -y*i + 7*i - 10 = f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2917435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -5*b**2 - 4*b + 1. Calculate p(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w - 7. Let b be (375\/10)\/(-25) - 6\/4. Give h(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the third derivative of z**6\/180 + z**4\/12 + z**2. Let q(v) be the second derivative of y(v). Let d be (-4 - -3)*(-3 + 2). What is q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 3724, 14899, 33524, 59599, 93124, 134099, 182524?\n\"Answer: 3725*y**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) 4\/5 (c) 7275970 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 14943, 14939, 14931, 14919?\n\"Answer: -2*s**2 + 2*s + 14943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 647 is divided by 56.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -21 + 22. Let n(x) = x**2 - 1. Let i(b) = 7*b**2 - 3. Let r(c) = f*i(c) - 6*n(c). Let h(z) = z**2 + 1. Suppose -y - 4 = -2*y. What is y*h(d) - r(d)?\nAnswer: 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 15*o**2 - 30. Let y(w) = -w**2 + 1. Suppose 4*n - 9 = -3*r + 22, -r - 4*n + 29 = 0. Calculate r*u(c) + 30*y(c).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 26298114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -3*r. Let q(t) = 3*t**2 - 36. What is u(q(j))?\nAnswer: -9*j**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 3*q**3 + 4*q + 1 + q**3 - 8*q**2 - 1 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 210 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 PM and 9:37 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -78097, -155576, -233069, -310582, -388121?\n\"Answer: -a**3 - a**2 - 77469*a - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/((-45)\/12)*3\/(-24)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*p + 11*p - 25 = 0. Sort -19, 5, p in increasing order.\nAnswer: -19, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8866 or 9371?\nAnswer: 8866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-82)\/(-4) - (-1 + 5\/10). Which is smaller: i or 31?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 less than 4.677?\nAnswer: 3.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 11329248 by 20524.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2) + (sqrt(2) + sqrt(18)\/(sqrt(9) + sqrt(144)) + sqrt(2))**2 + 0 - ((sqrt(2) - (sqrt(98) + sqrt(98) + -3*sqrt(98))**2) + 1).\nAnswer: 2667\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 72106 - 39057. Is 33 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5897460518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum -1 and 0.5647067.\nAnswer: -0.4352933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sfm when three letters picked without replacement from {f: 1, c: 2, k: 3, s: 1, m: 3}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1345\/1614*(-30)\/25\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the second derivative of -b**4\/4 + 7*b**3\/2 - 4676*b. Determine w(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l**5 + 24468*l**4 + 490218*l**3 + 2795868*l**2 + 2649753*l - 5960304 = 0. What is l?\nAnswer: -9, -3, 1, 8176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18619 and 8342.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -f**2\/5 - 106141*f\/5 - 9217476 = 0. What is f?\nAnswer: -105705, -436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 35629033 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x - 120 = -5*c, 101*c + 21 = 96*c + 3*x + 5*x + 150 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-1593 - -1616 - (1 + -9)) + 35?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 154*f**2 - 1828*f + 199*f**2 + 916*f - 8*f**3 + 913*f.\nAnswer: -8*f**3 + 353*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 3*x**2 + 11*x + 2. Give b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -18 and -6647385?\nAnswer: 119652930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -7 (b) 3\/5 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 50539185449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*i + 79*i = 5*k + 479, 0 = 4*k + 4*i + 100 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 51 - 28 - 23 - m**3 + 32*m**2 to the form t + o*m**3 + s*m**2 + z*m and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = 3*j + 10. Let u = 11 + j. Suppose -2*w + 9 = -5*n, -2*n = -3*w + 34 - 4. Solve w = -u*d + 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 40 - 84. Let l = 33 - d. Solve -l*h = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 160 + -50. Suppose -y - 89 = -4*f + 5*z, 5*f = 4*z + 260. Let o = f + -40. Solve 5*h = -d + o, h + 28 = -5*d + 3*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 3\/2, -4.49, -137\/12, 0, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 200180 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (((-231)\/22)\/((-3)\/443))\/((-4)\/(-8)) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or 22945?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -s**3 - 17*s**2 + 5742*s - 4142561 wrt s.\nAnswer: -3*s**2 - 34*s + 5742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-2 - (-39)\/6)*(6 - 0) and 576.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20.4 times -4.54?\nAnswer: 92.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the first derivative of -7*g**5\/5 - 2*g**3 - 3. Find the third derivative of l(n) wrt n.\nAnswer: -168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 30\/2*(-4)\/6. Let b = -37 - -65. What is the remainder when b is divided by (-12)\/(-5)*v\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, 5, -3, -5, 1\/7 in ascending order.\nAnswer: -5, -3, 1\/7, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -5*t + 4. Let d(a) = 11*a - 8. Let x(i) = -4*d(i) - 9*j(i). Let q be x(4). Let y = -31859 - -31864. Solve 4*r = 3*p - y, p + q*p = -4*r - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -3*c**2 + c + 1481. Let t(f) = 2*f**2 - f - 1481. Let j(s) = -3*d(s) - 4*t(s). Is j(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 19.2 - 18.3. Which is the closest to 2? (a) 5 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes after 10:54 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 62 - 35. What is the lowest common multiple of y and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -5*g**3\/3 + 195820*g**2 + 391645*g + 587470\/3 = 0.\nAnswer: -1, 117494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 4:28 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(1 + (3 + sqrt(304) + (sqrt(304) - (1 + sqrt(304) + -1)) - sqrt(304)*2*-6*-4)))**2.\nAnswer: -1504*sqrt(19) + 671552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -9943212?\nAnswer: 1\/3314404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -28, 2\/9, -0.4, -1051\/3 in descending order.\nAnswer: 2\/9, -0.4, -28, -1051\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d = 1 - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -23.4 - -33. Let a = 0.6 - t. Let v = 8.9999999 + a. Round v to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/(-28) - 50232\/(-67032)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes after 8:41 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*o - 378*o - 222*o - 328*o + 263*o - 20.\nAnswer: -720*o - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (193\/579)\/(((-2)\/10)\/((-36)\/(-15)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - ((8 - -3) + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 18? (a) -0.059 (b) 2 (c) 5 (d) 0.3 (e) 11\/2 (f) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * -771.\nAnswer: 3855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -40176870 less than -40176913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*v - 3*v + 4*v + (-10*v - 51 + 51)*(-2 - 5 + 0) + 0*v - 2*v + 3 - 1.\nAnswer: 69*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -18. Let q(r) = r - 19. Let z(w) = 6*j(w) - 5*q(w). Let g(o) = o + 3. What is -9*g(p) - 2*z(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1779 = 5*h - 2*d, h - 3*d - 363 = d. What is the remainder when h is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.72148 - -0.13938. Round y to two dps.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 64251?\nAnswer: 1\/64251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (0 + 3*sqrt(76)*-5 + 0)**2*5 + -2.\nAnswer: 85496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2*(-10)\/(-2) - -2138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s + 2. Let v be u(9). Suppose 0 = -2*l + 11*l - 135. Let j = l - v. Let i(g) = g - 3. Determine i(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = -2*x - 7, 0 = 2*r + 4*x - 168 + 190 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the first derivative of 22*w**6 + 15*w**5 - 183*w**4\/4 - 23*w**3 + 51*w**2\/2 - 6*w - 8. Determine q, given that y(q) = 0.\nAnswer: -1, 2\/11, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 82 - 30)*(7*l**2 - 10*l**2 + 36*l**2)*(-3 + 3 + 3*l).\nAnswer: -9702*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eenanhnnln. Give prob of picking 1 e and 1 h.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*l - 4*l - 32. Let t be 10\/4 - 4\/l. Suppose 3*y + b - 3 + 4 = 0, -t*y - 18 = 5*b. Calculate the smallest common multiple of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 1124 = -2*k, 2*k + 2*j = -2*j + 1124. Let d = -8995\/16 + k. What is the common denominator of -39\/14 and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 4 = -4*z, -5*w - 2*z - z = -14. Suppose w*g - 351 = 25. Calculate the remainder when g is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -290, -296, -302, -308, -314?\n\"Answer: -6*q - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17014775\/51 - 18\/459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*q + 5*k + 16, 2*q + 2*k - 24 = -34 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(1\/10)\/(x**8\/x)*(x\/(x**1*x))**(-39) assuming x is positive.\nAnswer: x**(321\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**2 + 10*p + 18. Let z be y(-8). Let v be 15\/(-10)*-1 - z. Which is the closest to v? (a) -2 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -20 - 132?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 323*u = -403877 - 583211. Sort u, -4, 5.\nAnswer: u, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -34.5 (b) -2\/9 (c) 0.1663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4824131 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 39717, 39750, 39791, 39834, 39873, 39902?\n\"Answer: -x**3 + 10*x**2 + 10*x + 39698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 4 = 4*k - 19, 33 = 3*k + 3*n. Calculate the smallest common multiple of k and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-17))**(3\/7)\/((x**(4\/3)*x*x*x\/x**(-3)*x*x)\/((x\/x**5)\/(x**4\/x))) assuming x is positive.\nAnswer: x**(-496\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Solve 2*x - 2 = -g, 178*x = -3*g + 180*x - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -26030742*w. Let j(x) = -19*x**2. Determine j(o(d)).\nAnswer: -12874391052340716*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1333\/7 - -190. Let f = -27.35 - -27. Let n = 4.35 + f. Which is the nearest to -1? (a) g (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 0*r - x + 27 = 0, -4*r + x = 36. Let z be (-9)\/r + (-226)\/222. Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Let v = 115.84 - -1.16. Let x = v - 118. Let d(l) = -l + 5. Let n be d(8). What is the third biggest value in x, 2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13642863 to the nearest integer?\nAnswer: 3694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -136\/621 + -2\/621. Which is the nearest to 2? (a) 0.8 (b) m (c) 0.07 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -57\/821912 and -123\/90320.\nAnswer: 8219120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3743*a = 214940 + 121930 for a.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify l\/(l\/(l*l**(-3\/7)))*l\/l**(-7\/4) assuming l is positive.\nAnswer: l**(93\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 8*v**3 + 423*v + 5. Let d(b) = -7*b**3 - 422*b - 4. Determine 4*a(g) + 5*d(g).\nAnswer: -3*g**3 - 418*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -32468 by 59.\nAnswer: -32468\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 171*s**2. Let w(z) = -38063*z**2. Calculate t(w(y)).\nAnswer: 247743426699*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -64089*p**4 - 99322*p**2 + 17. Let s(m) = 8011*m**4 + 12415*m**2 - 2. Let l(q) = 2*r(q) + 17*s(q). Find the third derivative of l(t) wrt t.\nAnswer: 192216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 - (57 - (-10 - -34))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24839\/6 - -4117. Find the common denominator of 127\/390 and v.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 3)*(8 - 5 + 18)*(-48*c + 19*c - 31*c).\nAnswer: -3780*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 708 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 252 divided by 347.\nAnswer: 252\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1356.6 + 1356. What is the closest to 2\/7 in -0.06, -1, u?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times -0.029308?\nAnswer: 0.029308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-23 - (-2 - 0))*164130\/(-15). Suppose -6*h + m = -0*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 98 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = m - 13, 4*g - 1 = 4*m + 7. Let c be (m + -5)*11\/(-2). Solve 0 = 5*y + c - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4650 = -17*i + 11*i. List the prime factors of i.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**15\/k**(2\/35)*(k\/(k*(k*k*(k\/(k*k\/(k*((k*k**(-1\/9))\/k)\/k))*k)\/k)\/k*k))\/(k**(-7)\/k*k) assuming k is positive.\nAnswer: k**(6632\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.9235 and 0.0476547.\nAnswer: 1.9711547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.06? (a) -503 (b) -2 (c) 0.08 (d) 15 (e) 37 (f) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -7041*r**2. Let m(t) = t**2. Calculate h(m(j)).\nAnswer: -7041*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -96 + 100. Find the third derivative of 31*y**3 - 34*y**3 - 15*y**2 - 4*y + l*y wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(125) - sqrt(60)\/(sqrt(12)*1).\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 84685 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 25390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16906 and 12798.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -19*u - 24. What is the units digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -87563598.11 to the nearest 1000.\nAnswer: -87564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 22 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-38)\/(-9) + (-2)\/9. Suppose -4*m + 1 = -2*u + 13, 0 = -4*m - r. Suppose 0 = c - u*q - 3, -4*c + q + 82 = -q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18641868 = -114*h + 390*h. Round h to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 22094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1222900453 divided by 6\nAnswer: 1222900453\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*z**5 - z**5 + 5*z**5 - 10*z**5 + 3*z**5 - 13*z**5 + (-3*z + 3*z + 3*z**2)*(-2*z**3 + 0*z**2 + 0*z**2).\nAnswer: -25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 440*k*t - 42*k - 337381*t - 899973 wrt t?\nAnswer: 440*k - 337381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(425) + sqrt(1088) + 1.\nAnswer: 2 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -0 - 10. Solve 0 = -6*m + w*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 7481 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*b - 4*u = 40, 0*b - 5 = -2*b - 3*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 3*i - 2*i = -8, -i = 2*t - 10 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*h + 88 = f, -1498*h + 2990*h - 72 = 1488*h - 2*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.201 - -0.301. Which is the biggest value? (a) -5 (b) -1\/30 (c) 4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1313442 - -4676.68292.\nAnswer: -1308765.31708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (3 + -14 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 32 = -4*z, -3*t - 29 = -4*z - 77. List the prime factors of 15*1*(-3)\/z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1680)\/(-45))\/(-28)*(-30)\/(-65)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 - -71. Suppose 6*d = t + 204. Let q(r) = r**3 - 8*r**2 + 9*r + 4. Let b be q(7). Calculate the greatest common factor of b and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/k**(1\/2))**(-2\/3)\/(k**(2\/7)\/k)**(1\/32))\/((((k**2*k)\/k*k*k)\/k)**(-2\/29))**(-2\/49) assuming k is positive.\nAnswer: k**(-43579\/136416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -4*z. What is w(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*q - 6*q. Let j = q + 2. Suppose u + 57 = 4*u + 4*p, -u + 2*p + 9 = j. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = -4*d + 9, -3*d - 2*d + 3*n + 39 = 0. Solve b + 2 = 0, 2*t - 2*b = -b - d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 69 and 25944069?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 149931*p - 149931*p - 54*p**2 - 118*p**2 - 357*p**2.\nAnswer: -529*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9\/16 + 5\/48. Let c be 2 + 0 - (-2 + -1 + 3). What is the second biggest value in h, c, -2\/27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = 7*q - 1. Let h(s) = s**3 - 8*s**2 + 6*s + 8. Let i be h(7). Suppose -11 = -3*o + i. Sort -0.5, q, o in ascending order.\nAnswer: q, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 7*w - 35. Let f be 7\/2*432\/84. Let y be l(f). Let u = 150 - y. What is the remainder when u is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o - 4. Let v be r(-4). Suppose 8 = -v*i + 2*i. Let d = 1 - 1. Solve -12 = -d*f + i*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/13 + (-105)\/78?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19280*a*r**5 + 16*a*r**3 + 10*a*r**2 - 252878*a*r + 121*a - r wrt r.\nAnswer: -385600*a*r**3 + 96*a*r + 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 166\/(-2988) - 11638\/(-828)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -579.99 - -390.68. What is g rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**7)**(-13) assuming v is positive.\nAnswer: v**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -7026 (c) -0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) -16 (c) 0.4 (d) 2 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + q = -1. Let s(g) = 5*g**3 - g**2 + 1. Let z be s(q). Suppose z*p - p - 28 = 0. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2130 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1, 15, -421, 5, 8, -14 in increasing order.\nAnswer: -421, -14, -1, 4, 5, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -30*f - 1. Let u(p) = 3407*p. Give w(u(s)).\nAnswer: -102210*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-294)\/(-63)*30\/(-504)*-6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 26*t**3 + 2*t**2 + 11. Let v be 1 + 9\/6 + 4\/(-8). Let p(o) = 13*o**3 + o**2 + 5. Let a(w) = v*z(w) - 5*p(w). Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -0.04001832?\nAnswer: 3.95998168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the third derivative of -d**6\/120 + d**5\/10 + d**4\/2 - 79*d**3\/6 - 13*d**2 - 12*d. Let q be i(4). Let p = 3 - 0. Solve 2 = p*f - q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -3*y**3 - 4*y**2 - 10. Is t(-6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5\/8, 0.11, 2\/9?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1256.728 - -1257. Round x to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1768 and 8?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 36 + -35. Find the third derivative of -16*v**2 - 15*v**3 + 1 + 12*v**3 - u wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 576, 1078, 1594, 2130, 2692, 3286, 3918, 4594?\nAnswer: 5320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 211221211 (base 4) in base 3?\nAnswer: 21211112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*h**2 + h + 3*h**2 - h**4 + 2*h**2 - 4*h**2 - 2*h**3 to d*h**3 + r*h**4 + j*h**2 + x + z*h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**2 - 3*n - 1. Suppose -2*a = 9 - 25. Suppose -2*g - 7 = -3*l + a, 4*g = -5*l + 3. Calculate h(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(143)*-1*6*4)\/(1*sqrt(176) + sqrt(44)\/sqrt(4)*6).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(3\/22)*x)\/(x\/x**(-19)))\/(x**(-2))**(-1\/3) assuming x is positive.\nAnswer: x**(-1289\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g**(-2\/7))\/(g\/(g*(g\/(g**(-3)\/g*g))\/g)))\/(g**(-8)*g*g*g\/(g\/(g*g*g**(4\/7)*g))))**(14\/9) assuming g is positive.\nAnswer: g**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2454587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 141626961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kokk when four letters picked without replacement from {o: 2, k: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 + 3 = -4*t - 2*d, -5*d = -3*t + 12. Solve -t*l = -0*l + 5*i, -4*i = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 7, h: 1}. What is prob of picking 1 t and 1 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 240.194*0.56\nAnswer: 134.50864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 51 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(-9)*(-36)\/(-39). Let t = a + -3\/13. Suppose -6*q - 9*q = 0. What is the nearest to 1 in 1, t, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iif when three letters picked without replacement from pyiiiiigpmgff?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 + 100010?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 395178168 and 5327.\nAnswer: 5327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 6992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 793, 794, 795, 796, 797, 798?\n\"Answer: j + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jekdjdd. What is prob of picking 2 d and 1 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pr when two letters picked without replacement from {p: 7, r: 5}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 31*f**3 + f**2 - 16*f**3 + 0 - 16*f**3 + 1. Let l(k) = -2*k**3 + 3*k**2 + 3. Calculate 2*l(q) - 6*w(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -259.99 times 22.4\nAnswer: -5823.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, j: 1, i: 1, h: 1, r: 1, f: 1}. Give prob of picking 1 f and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 259 + -188. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 2*o**2 + 14*o - 22. List the prime factors of k(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/8 - 1108713*h\/2 + 2217427\/2.\nAnswer: -(h - 2)*(h + 4434854)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9626 - 5839 = -15*u. What are the prime factors of u?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*u**2 + 10*u - 10*u)*(4 - 4 + 3*u**2) + (4*u + 22*u + 0*u)*(-u**3 + 3 - 3) to the form w*u + t*u**4 + i*u**3 + h*u**2 + c and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12006160 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.074 and 0.04?\nAnswer: 0.00296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2 + 28*g - 31. Let j be k(26). Let c be 12\/j*-42*8\/(-48). Sort -4, c, -5, -7 in decreasing order.\nAnswer: c, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-2)*(-30)\/(-16815)*38\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 + 71 = -19*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and 1.078834.\nAnswer: 1.078834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(242) - (-1*sqrt(242) + 2)) + 5*(2 + sqrt(242) + sqrt(242)))**2 - (4 + (4*-5*(sqrt(242) + 1))**2).\nAnswer: -62292 - 6688*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together -861 and 12.61.\nAnswer: -848.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dfdf when four letters picked without replacement from {j: 1, d: 5, f: 8, i: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 3954.44483+0.05\nAnswer: 3954.49483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 706683 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10.85 - -0.15. Let x = 0.155 + -11.055. Let d = h + x. Which is the third biggest value? (a) -1 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*sqrt(110)\/(sqrt(10) + (sqrt(110) + 2*sqrt(110) + sqrt(110))\/sqrt(11))*6.\nAnswer: -36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 57086 and 100878?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 200947*p**2. Let i(h) = -h**2. Calculate i(z(l)).\nAnswer: -40379696809*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**2 + 7*p - 6. Let x(u) = u**2 - 1. Let t(n) = -h(n) + 2*x(n). Let a be t(6). Sort -3, -1, a in decreasing order.\nAnswer: -1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.09 in -4, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10 or 386\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 220 = -2*b + 4*o, -2*b = o - 228. Suppose 9 = 25*n - b. Let x(r) = r + 3. Let g be x(0). Solve g*u - 6 = -2*q, n*u + 0*u - 4*q = 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -12? (a) -1\/3 (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2 + (-63)\/(-13) - 4\/(-26). Let j = 0 - -6. Suppose r*h = j*h. Which is smaller: h or 1\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 50, 193, 432, 767, 1198, 1725?\n\"Answer: 48*o**2 - o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8\/(-6) + 564\/(-36). Which is the third smallest value? (a) -4 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28490.7504 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be -4*4\/(-32)*-1930. Let h be u + -9*(3 + (-16)\/6). Let r be h\/(-20) + (0 - 8\/20). What is the highest common factor of 32 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 578 + -582.19. Let v = -4.65 - u. Round v to 2 decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -22*r. Let s(o) = 28*o**2 + 7*o. Determine s(y(a)).\nAnswer: 13552*a**2 - 154*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 30308 + 44?\nAnswer: 30352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.2, 2\/3, -1\/9847, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 15*u**4 + 68*u**4 - 6*u**4 + 6*u**4 + u**4 - 9*u**4 + (-u - 5*u + 3*u)*(-3*u**2 + 3*u**2 + 3*u**3) as k + t*u + n*u**4 + l*u**3 + b*u**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y + 4*w + 87, 2*y + 4*w = 1 + 17. Let j be -2 + 8\/5 - 204\/y. Let m be (2\/j)\/(2\/8*1). What is the nearest to 2\/7 in 2\/11, -2\/7, m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 46 (b) -33 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y - 132 + 107 + y + 8*y + 112.\nAnswer: 6*y + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tnntttntnttttt. Give prob of picking 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 47.02 + 35079?\nAnswer: 35126.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-2 + 0 + 0)*(z - 3 + 3) + 3*z - 26 + 26)*(72 - 58 - 65) to b + d*z and give d.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 10 (b) -2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-5)*f\/f**(-4\/3)*((f\/(f*f**(2\/9)))\/f)**(-41) assuming f is positive.\nAnswer: f**(427\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 49 = -5*a + u, 3*a = 4*u - 43. Let n(w) = -2*w - 9. Let m be n(a). Let h(d) = -3*d + 40. Let g be h(m). Solve 7*k - g = 3*k - 5*v, 20 = 4*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 12*w**2. Let j be 25\/(-5) - 25\/((-5)\/1). Let n(d) be the third derivative of 1\/60*d**5 + 0*d + 0*d**4 + j + 0*d**3 + 4*d**2. Give u(n(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes before 4:21 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 50 = -x - 14, -c + 220 = -4*x. Let s be 3\/(-2) + (-116)\/x. Solve 2\/7*q - 8*q**2 + s = 0 for q.\nAnswer: -1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 58*j - 376. What is d(6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4405?\nAnswer: 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*h + 8*h - 105*h + 16*h + 10*h.\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(((r\/(r\/(r*r\/(r\/(r*r**(2\/29))))*r))\/r*r)\/r))\/r*r**(-4\/5)*r*(r\/(r*r**(1\/4)*r*r)*r)\/(r\/(r**2*r)) assuming r is positive.\nAnswer: r**(511\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -83\/6 - -1091\/78. Let n be 1 - (-21*1 - 3). Let p be 10\/n - 54\/110. Put p, j, 0.2 in decreasing order.\nAnswer: 0.2, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -18083 + 18091. Solve 3*v = 7*v - 4, 0 = 3*h - v - a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6580 + -6577. Sort 4\/705, 1\/6, o in descending order.\nAnswer: o, 1\/6, 4\/705","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2 + 3*h + 5. Let l be x(-2). Suppose 5*y + 39 = -l*v + 7*v, 0 = -v - 4*y - 6. Solve 0 = -v*i - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 55*y**2 - 58*y - 520. What are the prime factors of v(-26)?\nAnswer: 2, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -32028, -128119, -288270, -512481?\n\"Answer: -32030*z**2 - z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 112 divide 8848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*k**5\/7 - 4026*k**4\/7 - 4342*k**3\/7 + 338326*k**2\/7 - 1019610*k\/7 - 276100\/7 = 0 for k.\nAnswer: -502, -11, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (9 + (-2)\/2 - 4366\/649)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -k**4\/2 - 87*k**3 + 423700*k**2 + 178182528*k + 354669568 = 0.\nAnswer: -592, -2, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2. Let l(v) = v**2 - 5*v. Calculate l(a(o)).\nAnswer: o**4 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6189849?\nAnswer: 3, 647, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 24398940403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -130 + 129. Which is greater: m or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 8*j - 1. Let o(a) = -2*a. Let c(l) = -l. Let b(s) = -c(s) + o(s). Determine -6*b(d) - m(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the first derivative of -5\/3*x**3 - 3\/8*x**4 + 4*x - x**2 - 5. Factor b(v).\nAnswer: -(v + 2)**2*(3*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 + (-1 + 6)\/(-1). Let i = -1 - t. Find the third derivative of -o**i + 4 - 4 - o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 35*k**2 + 1 - 2 + 2*k**3 + 1 - k as n + d*k**2 + g*k**3 + z*k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103106 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-122)\/(-4) - (-3)\/2. Suppose -g = -m - m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 57845146*b**5*f**2 - b**5 - b*f**2 - 17*b*f - 18*b - 59*f**2 + f + 9 wrt b.\nAnswer: 1156902920*b**3*f**2 - 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 607 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 16732.68l to millilitres.\nAnswer: 16732680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3703*k + 385 = 3668*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-23)\/(5336\/87))\/(720\/1344).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (5\/(15\/12))\/(-1 - 1). What is the remainder when 36 is divided by ((-95)\/(-15))\/(j\/(-6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20, 37, 54, 71?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*y**2 + 0 + 0 + (0*y - y + 0*y)*(-y - 4 + 4) - 13*y - 8*y**2 - 16*y + 28*y - 1.\nAnswer: -5*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 30*f + 4 - 24*f - 15*f. Let q(c) = c + 11*c - 5*c - 3*c - 3*c. Give l(q(d)).\nAnswer: -9*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3090 + -2956. Which is smaller: q or 140?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -66*l**2 - l + 125 wrt l.\nAnswer: -132*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8115 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2892453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 93 + -43. Suppose 0 = 5*g - 5*b - c, -b = -4*g + 6 + 34. Calculate the remainder when g is divided by 3\/(-6)*12\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12 - -23. Let y = 16 - p. Let x = -316 + 316.5. Which is the nearest to 2\/7? (a) 3\/5 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -7362134 and 4.\nAnswer: -7362130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*i + 28*i = 10. Suppose -24 = -i*w - 20. Calculate the smallest common multiple of 7 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 27 - 203*v - 3*v**3 - 2*v**2 + 2*v**3 - 39 + 13 + 3*v**3 to the form z + t*v + k*v**3 + g*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-12)\/(-45)*335\/(-6). Let x = 136\/9 + d. Factor x*j**5 - 10\/9*j**4 + 0 + 4\/9*j + 2*j**3 - 14\/9*j**2.\nAnswer: 2*j*(j - 2)*(j - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -477622, -955241, -1432860?\n\"Answer: -477619*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7142 + 7275. What are the prime factors of f?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -529.21 + 526. Let r = y - -0.21. Let i = -69\/55 + 16\/11. Put -0.5, i, r in ascending order.\nAnswer: r, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -88, -306, -896, -2044, -3936?\nAnswer: -6758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 232*v + v**3 - 234*v - 3*v**4 - 2 + 2*v**3 in the form h*v**2 + y*v**3 + q + o*v**4 + f*v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-3)*5\/((-80)\/72)*(-153)\/204?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the first derivative of -29*a**3\/3 + 3*a**2\/2 + 1. Let r(s) = 93*s - s**2 + 59*s - 216*s + 64*s. Give r(u(z)).\nAnswer: -841*z**4 + 174*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 47219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 367*d - 737*d + 17*d**2 + 370*d to the form b + w*d + r*d**2 and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 207 divide 219355209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 7.114 to 1 dp.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -235 + 2*o + o**2 + 236 + o. Give z(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 2, z: 2, y: 8, v: 2}. What is prob of sequence yzfv?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 220 + -497. Let d = -277.000000501 - v. What is d rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 9, b: 2}. What is prob of picking 2 l?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 45 + -45.11. Let p = -1.45 - 1.44. Let y = f + p. Put 3, -3\/7, y in descending order.\nAnswer: 3, -3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 1244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -6*l - 1. Let f(h) = h + 5. Let o be f(-6). Let j be b(o). Let m be -2 + (1 - 3\/(-1)). Solve j*t = m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -7. Which is the nearest to -2\/5? (a) n (b) 3\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 3 u when four letters picked without replacement from ululuuuu.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -101938, -101440, -100930, -100402, -99850?\nAnswer: -99268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -221709, -886802, -1995283, -3547152, -5542409, -7981054, -10863087?\nAnswer: -14188508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -884*m**3 + 8*m**2 - 16*m - 834. Let n(w) = w**3 - w**2 + 2*w + 1. Let k(c) = -8*n(c) - y(c). Differentiate k(x) with respect to x.\nAnswer: 2628*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, 0.4, -241, -7\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 5507034 (base 8) to base 13.\nAnswer: 3c9a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/26 + (-6 + 745\/195 - -3). Put x, -58, 1 in descending order.\nAnswer: 1, x, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 55 and 62247515.\nAnswer: 62247515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6201846, 6201849, 6201852, 6201855, 6201858?\nAnswer: 6201861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 379303*c*s - 5*c - 137945197*s wrt c.\nAnswer: 379303*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 5*q = 44, -84 = -4*y - 5*q - 0*q. Solve -32 = -0*v - y*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*n = 10*n - 14*n + 91635. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 298*x**2 - 818*x - 9. Let l(z) = 297*z**2 - 820*z - 6. Let a(y) = -2*k(y) + 3*l(y). What is the second derivative of a(w) wrt w?\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x = 4*b - 10, -728*x - 3*b = -716*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3042, -3205, -3370, -3537, -3706?\n\"Answer: -d**2 - 160*d - 2881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + -26 + (7 + 0 - (-36 - -50))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -3*c - 68, -2*c = -2*t - t + 47. Let b = -23 - c. Let f(h) = 2*h**2 + 3*h + 2. Let z(k) = k + 1. Give b*f(r) + 4*z(r).\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-1*sqrt(17)*3 + -3)**2 + 2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 14 - 128\/24*3. What is the closest to h in -1\/5, 1\/4, 35, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1000 is divided by 997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**3 - 6*w**2 + 8*w + 4. Suppose 2*r - 5*q + 2 = 0, -12 = -3*r + 5*q - 10. Determine m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5985132*b + 7590 = 5984967*b for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.2 or -1\/67?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -93 in 2, 0.5, -0.2, -6, -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**2\/4 + 87582*w + 350331\/4.\nAnswer: -3*(w - 116777)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in 33, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*y - 2 = 5*t, 4*y - 542620 + 542546 = -5*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from byybybyybbzyyyyby. What is prob of picking 3 y?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 183*z - 8170 = 164*z. What is the remainder when z is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + (-4 - 3836\/(-1032))*(-108 - -154)?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -555 divided by 1\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/(-10)*210\/28. Sort 5, b, -35 in decreasing order.\nAnswer: 5, b, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*w + 1078 + 857 = -0*q - q, 3*q - 6*w - 104 = -11*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2107449 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 11266915 (base 10) to base 2\nAnswer: 101010111110101101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c + u - 731, 0 = -5*c + 2*c + u + 721. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 11, 25, 31, 23, -5, -59?\n\"Answer: -z**3 + 2*z**2 + 15*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53*w**2 - 44*w**2 - 45*w**2 + 141*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*m = 20*m + 19*m - 150 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -50, -14, 0, -33.\nAnswer: -50, -33, -14, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33487935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6457336 and 14104.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3122424463?\nAnswer: 3122424463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 1\/(19\/(-2511325)*-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(153) + (sqrt(17) + 4*-2*sqrt(17) + sqrt(17))**2 - (-5 + (sqrt(153) - sqrt(17)) + -3).\nAnswer: sqrt(17) + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 254658, 254656, 254654, 254652, 254650, 254648?\n\"Answer: -2*r + 254660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 7*k**2 + 17*k - 8. Let s(v) = 22*v**2 + 51*v - 24. Let z(q) = -11*b(q) + 4*s(q). Let i(a) = 4*a**2 + 6*a - 3. Determine -17*i(c) + 6*z(c).\nAnswer: -2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 27 = -15. Let n be 10896\/(-156) - j\/26. Calculate the least common multiple of 4 and (0 + -1 + (-42)\/n)*-10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 130d + -4180a?\nAnswer: -404db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 32432\/159 or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -84, -179, -296, -441, -620, -839, -1104?\nAnswer: -1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*p**4 + p**4 + 3*p**4 - 6*p**3 - 5*p**4 + 6*p**3 + 11*p**4 + 10*p - 10*p - p + p**4 + p + (-2*p - 1 + 1)*(-3*p**3 + 5*p**3 - 3*p**3).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 14 = -22*i - 5, 5*p - 3*i - 148003 = -148106 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4435159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -735 - -735.09. Let d = 82 - 82.13. Sort -0.2, d, i in ascending order.\nAnswer: -0.2, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/(-84))\/(44\/(-66))*1\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*r**3\/5 - 12*r**2\/5 + 3*r\/5 + 18\/5.\nAnswer: 3*(r - 3)*(r - 2)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 0*r + 8 = 0. Let l(o) = -16*o**2 + 34*o - 46. Let t(p) = -9 + 11*p + 0*p - 3*p**2 - 4*p. Let w(m) = 2*l(m) - 11*t(m). Calculate w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -18a - -8?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 92\/(-90)*36820\/7364\nAnswer: -46\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/2*h**3 + 0 + 0*h + 0*h**2 + 9\/4*h**4.\nAnswer: h**3*(9*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 - 21\/(-18)*(-8)\/14. Let k = -0.1 - 0.1. Which is the closest to z? (a) k (b) 0.3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 72 and 7272?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/7? (a) -23057 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -36 - -36. Let y(x) = 2*x - 5. Let w be y(4). Put -0.5, w, i in ascending order.\nAnswer: -0.5, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0785 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-72)*-149 - (-365)\/(-2920) - -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a and 1 q when four letters picked without replacement from {a: 5, q: 5, h: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8223 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (49 - 41 - 22)*(-8*z - 2*z + z) + (-2*z - z + 8*z)*(-1 - 3 - 1)*(-1 - 2 + 4) in the form b*z + c and give b.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.3 and -6013618.\nAnswer: -6013617.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 70 + 5 + (3 - 7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5486.91 - -5512. Let g = 25 - f. What is g rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -5*k**2 - 799*k - 7665. Determine y(-10).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - (-3 + 3) - -1) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2915 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: What is the remainder when 54623 is divided by 5143?\nAnswer: 3193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-117)\/28)\/(-13)*10\/240*28\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 809345.\nAnswer: 5, 161869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 14531033 (base 9) in base 6?\nAnswer: 414502220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 154523553?\nAnswer: 3, 43, 61, 73, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j**2 + j**2 + 0*j**2)*(-j + 4*j - 2*j) + (j**3 + 4*j - 4*j)*(8 + 20 - 139).\nAnswer: -110*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 5*k**3 + 145*k**2 - 5*k - 145 = 0.\nAnswer: -29, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 301061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1997 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -0*c - 30. Let g = c - -19. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5130407 is divided by 4247.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 57 + 154 + -260 + -12 + (0 - -1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the third derivative of -j**4\/24 + j**3\/2 - 4*j**2. Give z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/6)\/((-10)\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 2484*r. Let u(c) = -5*c - 14394. Calculate u(k(m)).\nAnswer: -12420*m - 14394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.75083 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00019601 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/8 - 286\/(-8). Let k = j - 17. Calculate the remainder when 73 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 23960 - 23254. Calculate the remainder when r is divided by 126.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jaaj when four letters picked without replacement from {j: 3, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -8 (c) 8524.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - g = -732. What are the prime factors of g?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/2)\/(v\/v**(2\/3)))\/(v**(-10\/9)*v**(-14)*v) assuming v is positive.\nAnswer: v**(257\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**2 + 2*u. Let z be l(-4). Let c be (28\/(-6))\/(2\/z). What is the highest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 + -444314064240.\nAnswer: -444314064239.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7 and 868.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from lhgvy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 69500 and 3500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 12\/96 - 391\/(-8). Suppose 0 = 5*o - k*o + 35640. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 513\/99 - ((-6)\/(-33) - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -225b382 + -9?\nAnswer: -225b38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -717, -1420, -2091, -2712, -3265, -3732, -4095, -4336?\nAnswer: -4437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i + b - 2, 3*i = -i - 3*b - 14. Let q be (22 + -2)\/((-4)\/i). Let o(p) = 12*p - 5. What is the hundreds digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27*(-7)\/(-1596)*494\/(-741).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-884)\/(-12) + (-8)\/(-6). Suppose i = -79 + o. Let m be 2*-38 - i - 0. Round m to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2005816305 to the power of 1\/3, to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 21*t**3\/5 - 936*t**2\/5 - 2433*t\/5 + 1692\/5.\nAnswer: 3*(t - 47)*(t + 3)*(7*t - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - -1) + 0 + 4 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*-1.16.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mjmthuc. Give prob of picking 1 t and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*b - 20, -3*r - 13861*b = -13856*b - 28 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from degqddxqxqjg. Give prob of sequence dxeg.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-85)\/(-153))\/(980\/294)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 882999.798 - 883037.39799833. Let u = 37.6 + t. Round u to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g + g**2 + g)*(-4*g + 4*g + 4*g**2 + (-1 + 1 - 2)*(-2*g**2 - 3 + 3) + g + g**2 - g - 3*g**2 + g**2 + 0*g**2).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2765 - 4*g**2 - 2765.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-18 - -39) + (5 + -2 - 1). Sort 2, w, 5 in ascending order.\nAnswer: 2, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -f**4\/3 - 5*f**3\/3 - 2*f**2 = 0. Calculate f.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 43556 and 621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(102)\/sqrt(6) + sqrt(17))*2 + 0 - ((sqrt(51)\/(2*sqrt(3)))**2 + (sqrt(17)*-2 + sqrt(17))*2).\nAnswer: -17\/4 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -3*s**3 + 2*s**3 - 4*s + s - 1 - 4*s**2 + 0*s. What is the tens digit of a(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2, -0.04, -3, 18\/7 in decreasing order.\nAnswer: 3, 18\/7, -0.04, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36197.\nAnswer: 7, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 - 2*b**2 + 10*b - 2. Let s be m(4). Let k be (-10)\/(-14) + -1 + (-190)\/s. Is 30 a factor of k\/((-2)\/((2 - 2) + 106))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1 - -5)*6\/9. Let i(p) be the third derivative of 0 - p**2 - 1\/30*p**5 + 1\/6*p**3 + 0*p**u + 0*p. Differentiate i(b) with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + 1)*82\/(-3690)*-10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the first derivative of f**4 + 17*f**3\/3 - 5*f - 119. Let c(i) = -2*i**3 - 8*i**2 + 2. Calculate 5*c(x) + 2*s(x).\nAnswer: -2*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -16 at least as big as -30884766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 83742 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 + 8 - 12)*(0*w - 2 + w - 2) + 0*w - 2*w + 4*w - 2*w - 6 + 6.\nAnswer: 9*w - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 257 - 1874267?\nAnswer: -1874010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 3*z**2 + 42*z - 1891. Determine s(28).\nAnswer: 1637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**3*y)\/(y*(y**(-7)\/y*y*y)\/y))\/((y*y*y**0*y)\/y*y)**(1\/39) assuming y is positive.\nAnswer: y**(129\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = 31*b - 25*b. Solve -x + 0 = -a + b, 0 = -3*x - 4*a + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 - 2*w + 3. Let b be 11\/(-4) + (-3)\/12. Let g be l(b). Let v(s) = s**2 + 9. Give v(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (16\/40*-5)\/((-160)\/1360)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -3*l**2 + 1. Let p(g) be the third derivative of -1\/6*g**3 - 6*g + 1\/60*g**5 + 1\/24*g**4 + 0 - 6*g**2. Let j = 1 - 0. Determine j*p(o) + w(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 451*a + 175 = -276 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 3*o**2\/2 + 4125*o - 24777\/2 = 0. Calculate o.\nAnswer: -2753, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 - 6 + 95749*o - 35 - 4.\nAnswer: 95749*o - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 - 82*y**2 + 11*y - 878. Determine i(82).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/6 - (-3516)\/9. Let a be 2\/4*n\/(-3). Let v = -45 - a. Solve 0*s + 5*s + v = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5 + -2 - -18) + (-21 - -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the second derivative of r**7\/840 - r**6\/60 + r**5\/10 + 13*r**4\/12 + 8*r. Let d(j) be the third derivative of h(j). Suppose d(w) = 0. What is w?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(68) + sqrt(68) + -2)**2*-1*-4 + -1.\nAnswer: 32*sqrt(17) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -132575 (base 8) to base 15\nAnswer: -db76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1350, 1500, 1754, 2112, 2574?\nAnswer: 3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be -8 - (-173)\/20 - (-1)\/(-4). Which is the fifth biggest value? (a) -31 (b) 2 (c) -16\/11 (d) 4 (e) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 549775 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = -89*u + 93*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + 3 - 8 - -7 - -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 2*q**2 - 19*q**3 - 1 + 0 - 4*q**3. Let x be j(-1). Suppose 26 = 5*l - x. Solve 0*y + y = 3*b - l, -b - 1 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -58569*i**3 - 47800*i**2.\nAnswer: -351414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2*sqrt(364))\/sqrt(7))\/sqrt(4) - sqrt(78)\/(sqrt(96) + (sqrt(96) - (sqrt(96) + (sqrt(96) - sqrt(96)*-1)) - sqrt(96))))**2.\nAnswer: 2925\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*h = 2*j - 35*h + 122, -2*j - 70 = 2*h + 40 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of s**4 - 270*s**3*y**2 + 2*s**2*y**2 - 8*s - 79*y**2 wrt s.\nAnswer: 12*s**2 - 1620*s*y**2 + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 14006376 = p + p, -14006358 = -2*p + 4*k. Suppose 2*w - 3*b - 2263173 + p = 0, -b - 4739996 = 2*w. What is w rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 24\/37, 0, -2.\nAnswer: -2, 0, 24\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = 4*n + p, -5*n + 36 = 4*p. Suppose -7 = n*h + 13. Let s(v) = v**3 + 4*v**2 - 6*v + 1. What is s(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 47\/6199 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y - 3*y + 5*i - 105, -2*y + 5*i - 65 = 0. Does 3 divide y\/12*-9 - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 67 = 70. Let t(r) = 167*r + 170*r - 338*r - y. Let n(k) = -k. Give -n(i) + 3*t(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 1 s when three letters picked without replacement from {a: 9, s: 6, y: 2}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 4*j = w - 36, 2*w - j = 36. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 2*x**3 + 4*x**2 - 2*x. Let t = -8 + 3. Let a(o) be the first derivative of o**4\/2 + 5*o**3\/3 - o**2 + 5. Calculate t*k(u) + 4*a(u).\nAnswer: -2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -229.384 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 4811*i - 55*i**3 - 24 + 31 - 4811*i as u + s*i + c*i**3 + j*i**2 and give c.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.9 - 1.3. Suppose 0 = 4*p + p + 25. Let k = -1.5 + 2. Which is the nearest to k? (a) m (b) -3\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 217*b - 955 = 2300 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the second derivative of -u**3 + 15*u**2\/2 - u. Let b(y) = y. Let x(v) = 3*b(v) + g(v). Let w be x(6). Sort -4, 4, w.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 205 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the second derivative of 13*w**3\/3 - w + 83. Determine r(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 12\/497?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -80*a - 40*a + a - 180*a to s + i*a and give i.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 11\/6 and 23\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*i + 3*i = -9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 46095 a multiple of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2.1 - -2549\nAnswer: 2551.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-5)\/105)\/((-28)\/168). Factor -8\/7*m - j*m**2 + 8\/7 + 2\/7*m**3.\nAnswer: 2*(m - 2)*(m - 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 - -11. Suppose n*m - 13 + 5 = 0. Solve 0 = 4*c - 4*p + 8, 0 = c + m*p + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*m**2 - 8*m**2 + 1723 + 2*m**2 + 5*m**2 + 2*m**2.\nAnswer: -6*m**2 + 1723","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2 + -4126.\nAnswer: -4125.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 32890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -8*h**3\/3 - 1310*h**2\/3 + 12862*h\/3 + 3460 = 0.\nAnswer: -173, -3\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 6723*v - 6715*v. Determine z, given that -45\/7*z**3 + 27\/7*z**2 - 6\/7*z + 0 + 33\/7*z**4 - 9\/7*z**v = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 times -133.164679\nAnswer: 532.658716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 562 - -3?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 96 - 1 + 9*s + 2*s + 6*s + 8*s as p*s + q and give q.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 19*o - 7. Let r(q) = 40*q - 15. Determine -9*h(u) + 4*r(u).\nAnswer: -11*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 18 + 5. Suppose 4*s = -5*t + 7, -5*s + t = -68 + f. What is the highest common divisor of 72 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 + 6 + 4 - 6*c**2 + 2 - 2.\nAnswer: -6*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 23847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:50 PM and 3:57 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -r + 16. Suppose t - r + 2 = 0. Let w be 1*(-2 - (t + -1)). Put 2, w, 5 in increasing order.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*w - 2*w + 120 - 124 in the form o + f*w and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/5 (c) 0.08 (d) -0.5 (e) -307\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3515\/553 + -96\/79. Let a = 57\/7 + g. Factor 0*x**3 + 0 - 4\/7*x**2 - 2\/7*x + 2\/7*x**5 + a*x**4.\nAnswer: 2*x*(x - 1)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(224)\/(sqrt(8)\/sqrt(2)))\/(1*sqrt(175) + sqrt(7)))\/(sqrt(144) + 4*sqrt(144) + sqrt(4) + (sqrt(100)*6 - sqrt(100)) + sqrt(100)).\nAnswer: sqrt(2)\/366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 266, 269, 274, 281, 290, 301?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(153) - (2 + sqrt(153))) + -6*sqrt(153)*-1)**2 + (sqrt(153) + sqrt(153)*-1 + 0 + 5)**2.\nAnswer: -180*sqrt(17) + 5558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i + 60. Suppose 5*x + 5*z = -85, 2*z + 13 = x + 39. Let s be g(x). Factor -s*a + a**2 - a**2 + 5*a**2 + 254 + 66.\nAnswer: 5*(a - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -2*s**4\/3 + 4*s**3 + 50*s**2\/3 + 12*s = 0.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 1264.86 to the nearest 10.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w + 0*w + 5*w)*(-2 - w + 2) - 67*w**2 - 69*w**2 + 138*w**2 - w - 11.\nAnswer: w**2 - w - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 216 + -214. Suppose 10159 = -0*t + t - 2*q, -b*t + q + 20315 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5.94 - 6. Let b = 0.06 + v. Put 0.3, 4, b in ascending order.\nAnswer: b, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 951 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 10:29 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-669)\/(-12) - (53505\/348)\/41?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -8*b**2 - 3*b + 3. Let w(z) = -7*z**2 - 2*z + 2. Give 4*n(j) - 5*w(j).\nAnswer: 3*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -133 + 145. Calculate the remainder when 23 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2 + -9. Let o = 4 + z. Let h be 1*(-2 + (-6)\/o). Solve 5*w = 3*f, w + 0*w + 4*f = h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 PM and 1:02 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**2 - 6*w. Let m be y(-5). Suppose 2*o = 8*h - 3*h + 24, -5*h = m*o + 10. Which is the third biggest value? (a) -0.2 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(2\/3)*g**2*g)\/((((g\/(g\/(g**(-3\/8)*g*g)))\/g)\/g)\/(g*(g*g*g**0*g*g)\/g)))\/((g**1)**(-3\/52))**30 assuming g is positive.\nAnswer: g**(3049\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*w**2 + 0*w**2 - 3*w**2)*((20*w**2 + 4*w**2 + 19*w**2)*(w + 2*w - 2*w) - 17*w**3 + 6*w - 6*w).\nAnswer: 26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 15 = 3*j. Suppose 5*k = 0, 12 = 2*l - 0*k + 4*k. Let i(a) = a - 7. Let q(d) = -3*d + 20. Let c(n) = l*q(n) + 17*i(n). Calculate c(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(450) - (sqrt(450) + 1*sqrt(450)))\/(sqrt(72)\/(sqrt(24)\/sqrt(3))) - (0 + (-2*sqrt(2) - sqrt(2)) + (sqrt(12)*-2)\/sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((1512\/49)\/12)\/(3\/(-252)*2*-10)?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 5*w + 10 = 0. Let y be (-2)\/w + 13 + -9. Let n be (y + (-3)\/1)*1. Which is bigger: 4 or n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*c + 22085 = -112*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2960, 11863, 26702, 47477?\nAnswer: 74188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**3 - 89*q**2 + 130*q - 3706. What is c(88)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 i, and 1 l when three letters picked without replacement from uuuaaauoaoaiuloo.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*a + 5*t - 12 - 28, -4*t = -5*a + 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 137\/654 and -65\/6.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -155396 bigger than -155501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jnooojojgjjjjonjjg. Give prob of sequence onog.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 3*i**2 + 1. Give m(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 387 = 8*u + 75. Is u less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8183.459 rounded to the nearest 100?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -74249640 and 5657.878?\nAnswer: 74255297.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l + 1099099. Let r(w) = -2*w. Calculate o(r(a)).\nAnswer: 2*a + 1099099","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:23 PM and 5:14 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (11 + 1 + 0 + (-5 + 4 + 0)*(1 + 3 - 3) + 0 + 5 - 4)*(2*b + 2*b - 3*b)*(10*b - 20*b + 8*b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be 7\/(-147) + 4\/(-14). Let k = -0.8 + 0.66. Let m = k + 0.24. Which is the closest to 0? (a) q (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 55 - 28. Suppose q = h + 2*h. What is the units digit of 6 - (h\/3 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 253944 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*v**3 + 17*v**2 + 41*v - 65*v**2 + 17*v**2 + 10*v**2 + 19*v**2 - 71*v**3.\nAnswer: -91*v**3 - 2*v**2 + 41*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 2, k: 2}. Give prob of sequence ktt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 0*s + 3*u = -114, 4*u - 46 = -s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 4 + 1 = 4*s, 5 = -3*s - u. Is s*(-37289)\/(-28)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -19 (b) 3 (c) -1\/9 (d) 1\/11 (e) -64 (f) 105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18571136 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 + 28d4?\nAnswer: 28d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 27 - 23. Put w, 3, -2 in decreasing order.\nAnswer: w, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + z = 52 + 40, 73 = 4*r + z. Suppose 0 = -3*a + 8 + r. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2492 - -4591. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 287 (b) -1\/5 (c) -31\/3 (d) -0.042 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 7:45 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -27, -52, -73, -90, -103?\n\"Answer: 2*n**2 - 31*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1063 + -309. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/36890 and -37\/1860?\nAnswer: 221340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (3 + sqrt(13)*1*4 - (-2*(0 + sqrt(13)) + 3)) + -1.\nAnswer: 4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m - m - 20. Let v(f) be the second derivative of -f**4\/12 - f**3 + 2014*f. Let d be v(m). Which is the nearest to -1\/4? (a) -1\/3 (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -42629 or -8?\nAnswer: -42629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 16 = -5*y, -116*t + 26 = 4*y - 111*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -24.33 * 437456.\nAnswer: -10643304.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -969 and 0.5.\nAnswer: -484.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be 870\/120 + (-5)\/4. Let i be (-2 + (2 - 0))\/(h\/(-3)). What is the nearest to 17\/2 in -2\/13, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + 2073?\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 3*i = 4, 0 = -4*s + 3*i + i + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**2 - p. Let d be g(0). Let f = -0.13 + 1.93. Let l = 2.1 - f. Which is the second biggest value? (a) l (b) -3\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2*z - 2*b = 148, -5*b = z + 142. Is z not equal to -152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -49*u + 1073. Let q be r(22). Sort q, 4, -54, -2.\nAnswer: -54, q, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 3)*(-47681*h - 4 - 17 + 47698*h).\nAnswer: 34*h - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:16 AM and 6:36 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -203, -772, -1719, -3044?\n\"Answer: -189*m**2 - 2*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -33896 divided by 10\nAnswer: -16948\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 341 = 2*y + 97. Let l = 171 - y. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from {w: 2, r: 1, l: 4, i: 4, c: 3, o: 1}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 768 by -32.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be (5\/25)\/(168\/80). Sort 1\/5, s, 1\/3, -104 in ascending order.\nAnswer: -104, s, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 95849823*b**3*t - 6*b**2*t - 6*b**2 - 12*b*t - 2*b + 3*t - 146 wrt b.\nAnswer: 575098938*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 2*a**2 - 2*a - 5*a**3 - 6*a**3 + 1 + 5*a. Is w(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-2 + (sqrt(11) - (sqrt(11) - (sqrt(11) + sqrt(110)\/(sqrt(10) - 2*sqrt(10)))**2) - (sqrt(275)*2)**2) + -3)*6 + -2.\nAnswer: 26518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/8 less than or equal to 1006923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 52\/513 or 1?\nAnswer: 52\/513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 16 + -16. Suppose 0 = v, -3*f + t*v + 4*v = 36. What is the lowest common multiple of (-9)\/(-5)*(-80)\/f and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (156 - (-107 + 209)) + 5 + 34?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 98306835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-four fifths of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 33, 58, 83?\n\"Answer: 25*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (15 - 4 + 4)*(-2*k**2 + 9*k**2 - 1 + 12*k**2) to the form s + h*k**2 + m*k and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 192240 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 12*z**2 - 2*z - 52. Let s(x) = -4*x**2 + x + 18. Determine -4*g(q) - 11*s(q).\nAnswer: -4*q**2 - 3*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 3, s: 4, x: 2, f: 6, m: 3}. Give prob of sequence myx.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a - 3. Let v(x) = x + 4. Let o(i) = -2*m(i) - 3*v(i). Suppose 137792*d + 200 = 137772*d. Calculate o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -120237 - -120237.000048803. What is c rounded to 6 decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence scci when four letters picked without replacement from icscciisi.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r**2 - 18865*r + 19146*r - r**2)*(-1 + 3*r + 1).\nAnswer: -6*r**3 + 843*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/231084 and 157\/82530.\nAnswer: 1155420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -191, -454, -741, -1064, -1435, -1866, -2369, -2956?\nAnswer: -3639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.048 - 0.692. Round c to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -1418335*d - 10. Suppose h - 6*h = -q - 6, 2*h = 0. Let f be z(q). What is f rounded to the nearest 100000?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.97 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 119521607.\nAnswer: 119521607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10290?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 368256 and 8960?\nAnswer: 3682560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 18 = 4*z, -2*d = 2*d - z - 11. Suppose p - 4*a = 4, d*a - a = p - 4. Solve 3*n + 24 = 3*s, -s + p*n + 17 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5486.2233 rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 11677 divided by -3\nAnswer: -11677\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1899002, -1899001, -1899000, -1898999, -1898998?\n\"Answer: q - 1899003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 192 and 426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 8) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 93709*-147\nAnswer: -13775223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q + 8*q - 2*q)*(-q + q**4 + q + (2*q + 0*q - 4*q)*(2*q**3 - q**3 - 3*q**3)).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000042916 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -315 - -126. Let p = -180 - k. Suppose u = -u + 24. What is the lowest common multiple of u and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 10, y: 2}. Give prob of picking 3 i.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -190 or -1.176?\nAnswer: -1.176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 206, 494, 780, 1064, 1346, 1626, 1904?\n\"Answer: -g**2 + 291*g - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (125\/80)\/(45\/108*1)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 160425 and 233632275.\nAnswer: 700896825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 39*f + 745. Let y be t(-6). What is the greatest common divisor of y and 1241?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9\/15 - (-46)\/(-10). Calculate the remainder when 19 is divided by (-39)\/g - 2\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2325*p + 2364*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is (-17)\/(-68) + (-213868)\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**3 - 23*i**2 - 41*i - 6. Let b be c(-21). Let f be (92\/6)\/((-9)\/b*-6). Which is bigger: f or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6786476277 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -14, 21, 4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -355 - -358. Suppose b - 5*b = -y*c + 278, -474 = -5*c - 4*b. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*i - i + 2511 = 16*i. Calculate the highest common factor of i and 3267.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -9 (b) 1 (c) -3\/14 (d) -0.4 (e) -1 (f) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4, -4 in ascending order.\nAnswer: -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-4 - (7 - 22)) + -13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*f - 33 - 17. Let b(w) = 3*w**2 - 28*w + 32. Let v be b(8). Let z(r) = 35*r - 7 + r**3 + 11*r**2 - 45*r + 20*r + v*r**2. Give z(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 + 49*i**2 - 6*i + 275. Let h be k(49). Sort 4, -2, h in ascending order.\nAnswer: h, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 152219 or 761099\/5?\nAnswer: 152219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 136126 and 4285622.\nAnswer: 4694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*r - 11*r + 0*r)*((-6 + 1 + 4)*(-8 + 3 + 3) + 33 + 12 - 9) + (0*r - 2*r + 0*r)*(-5 + 2 + 4) + 0*r + 4*r - 6*r to w + f*r and give f.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1133492473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/((2\/(-4))\/(-6*(-8)\/96)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(48)\/sqrt(4))\/sqrt(4))**2 - (sqrt(432) - (sqrt(432) - (sqrt(432) + 4))).\nAnswer: -12*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:23 AM and 8:42 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 24119*b + 3. Let a(u) = u**2. Determine d(a(k)).\nAnswer: 24119*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 30980.693 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4\/3, 9, 2\/89, 4, -0.06?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3720 and 279900?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f**2 + 21. Let x(g) = 13536*g**2. What is a(x(s))?\nAnswer: 366446592*s**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 1111425 (base 8) to base 3.\nAnswer: 120020020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1\/12)\/(11\/44). Let h = -2.7 - 0.3. What is the third biggest value in a, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/(-7)*24\/(-20).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (-14 + (7 - 1) + 1 - 13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, -509\/52, 5, -3 in descending order.\nAnswer: 5, 1, 0, -3, -509\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1024)\/(-56))\/8 - (1426\/(-217) - -8)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of c**4 + c**3\/3 - c**2 + c + 868. What is q(2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**3 + 2334*g**2 + 612232*g + 3589800.\nAnswer: 2*(g + 6)*(g + 386)*(g + 775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**2 - 12*y + 14. Let v be b(11). Suppose -v*c + c + 10 = 0. Solve c*n + 28 + 0 = -3*i, 3*n = i - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 21242738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8 - 5. Suppose -l*q - 63 = -0*q. Let o be 6\/q - 30\/(-7). What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:03 PM and 1:27 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1172, 5, 1, -10\/27, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 112 smaller than 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -15*j + 20. Let o be s(8). Let q = o - -152. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes after 7:51 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 - r. Let o(t) = -7*t. Determine -3*f(j) + o(j).\nAnswer: -3*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 84 - 28. Suppose 4*t = 4*w - h, -t + 58 = 5*w + 18. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 574419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 2 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - 2*x - 9, -2*t + 3766 = 2*x + 3778. Factor 1\/11*y**t + 2\/11*y**2 - 6\/11 - 5\/11*y.\nAnswer: (y - 2)*(y + 1)*(y + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 207, 759, 1673, 2943, 4563, 6527?\n\"Answer: -t**3 + 187*t**2 - 2*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5085513?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7512*s - 3 - 2014*s - 2625*s - 1598*s + 1 to the form u*s + d and give u.\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-139)\/139 - 2\/(-1 - 1). Solve 4*i + 4*k - 4 = u, 2*i + k = 3*i - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 3586.051 micrometers?\nAnswer: 0.3586051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 101911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence coco when four letters picked without replacement from ccsoosssccccsccscs.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*h*l**5 + 52*h*l**3 + 2*h*l - 2*h - 2*l**5 - 11 wrt l?\nAnswer: 40*h*l**3 + 312*h*l - 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -21, -36, -61, -96, -141, -196, -261?\n\"Answer: -5*x**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -6*x**2. Let m(i) = -2*i. Give m(c(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes before 11:34 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b. Let a(d) = -3138. Let h(r) = -r - 6. Let m(j) = -a(j) + 523*h(j). Determine m(p(g)).\nAnswer: -523*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, 0, -4 in ascending order.\nAnswer: -4, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 1 g, and 2 k when four letters picked without replacement from kcvvvggtkvckkv.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 4, v: 6, w: 5}. Give prob of picking 1 w, 1 v, and 1 x.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-48)\/(-27) - (-6)\/27. Let i(r) = 5 - 16*r**2 + 5*r + 31*r**2 - 13*r**h. Calculate the remainder when i(3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - 3*a + 17, -2*a + 3 = k - 4. Suppose 8*y + k*y = -567. Is 4 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34808*v**3 - 5825*v**3 - 35857*v**3 + 18603*v**3.\nAnswer: -57887*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-31 + 66)\/105)\/(1\/(34 + -1)). Let a(k) = -k**2 + 11*k + 4. What is a(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 169198807 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 13 or 347\/29?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/62524 and -149\/182364.\nAnswer: 407218812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 16182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the second derivative of z**4\/6 - 2*z**3\/3 + 7*z**2\/2 - 7*z. Is x(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 978\/652*2\/36*4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13720 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 30249 + -8062. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -61618*j - 780 + 123340*j + 3*j**2 - 61674*j.\nAnswer: 3*(j - 10)*(j + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, f: 5, n: 4, i: 2}. Give prob of picking 1 y and 1 f.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -5*h + 21, -2*h + j - 1 = -13. Suppose 5*l - l - h*s = 341, l - 84 = s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 39.6 + -40. Let x = -0.9 + 1. What is the closest to 0 in 0.3, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z**3\/6 + 75685*z**2\/6 + 238682108*z + 238669494 = 0. What is z?\nAnswer: -37842, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 103544 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1216196 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 618 + 131. What are the prime factors of h?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3651888427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4.2 (b) -3 (c) -2 (d) 5\/2 (e) 186\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6)\/(-10))\/((-4)\/(-20)). Let z(r) = -6*r**2 + 4*r - 1. Let q be z(x). Is (q\/(-4))\/((-1)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 62850 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 4, q: 2, x: 1, h: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13548, -13540, -13532, -13524?\nAnswer: -13516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -246*i**2 - 266*i**2 + 786*i**2 + 18 - 211*i**2 to the form o*i + y + w*i**2 and give w.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 447 bigger than 446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-10) - 395\/50*-1. Let k be 1*-6*(-8)\/12. Solve -4*i + f = -k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 16 - (-1 + -2 + 5). Which is smaller: c or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 33022116 + 12?\nAnswer: 33022130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h + 604 - 608 = 5*t, 0 = -5*h + 31*t - 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 666167680 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18.05 - -18. Let l = 0.05 - g. What is the closest to l in 0.5, -1, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/2 and 65\/372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-854)\/(-40) + 4\/10 and (-57)\/6*3\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 2 + w**3 + (0 + 0 - 3*w**2)*(5 - 6*w + 11*w - 10).\nAnswer: -14*w**3 + 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3.8, 518\/369.\nAnswer: -3.8, -2, 518\/369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-26904)\/30)\/(4\/(-2810)). Let q be 8\/28 + x\/(-7). Round q to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -140bb - -1a79?\nAnswer: -12242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes before 4:50 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70*f = 69*f + 3*s + 504, 0 = f - 4*s - 502. Calculate the greatest common factor of f and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 1640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/17 + 31113\/(-2751705)*-6. Let f = -2\/545 + s. Which is the smallest value? (a) 0.3 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2398 divide 45940884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 6}. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2 + t - 1. Suppose 5 = 5*m, 3*z + 2*m + 201 = 206. Let x(c) = c**3 + 5*c**2 - 5*c - 1. Calculate z*x(j) + 5*g(j).\nAnswer: j**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the second derivative of f**4\/3 - 3*f**2\/2 + 7*f. Let w be o(-7). Round w to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 8, 1, 4, -512, -3 in decreasing order.\nAnswer: 8, 4, 1, -3, -9, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7670 and 330.\nAnswer: 2531100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*z + 15*z + 11*z)*(2*z**2 + 0*z**2 - 4*z**2).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be (8\/18)\/(-198*59\/(-4779)). Let -28\/11*k - 30\/11 + p*k**2 = 0. What is k?\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -8, -9, 24, -4, 2 in descending order.\nAnswer: 24, 2, -4, -5, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 9*t**2 + 131*t + 11. Let z(l) = 2*l**2 + 26*l + 2. Let i be -1 - 2\/(-5) - (-2320)\/200. Let u(o) = i*z(o) - 2*q(o). Factor u(v).\nAnswer: 4*v*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -157 and 9707002144.\nAnswer: 9707001987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -979.17, 1, -13.4.\nAnswer: -979.17, -13.4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8)\/(-2)*(-4)\/(-8). Let a be 4\/6*(-1 - q). Let j(m) = 2*m + 2. Let w(n) = -3*n - 5. Let b(c) = -5*j(c) - 2*w(c). What is b(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -604 - -604.00679. What is r rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*n**3 - 16 + 4*n**3 - n**3 + 2*n**3 - 2.\nAnswer: -2*n**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -347\/6*k**3 + 130*k**4 - 302*k**2 + 539\/3 + 119\/2*k + 6*k**5 = 0. What is k?\nAnswer: -22, -1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**2 + 2*t - 2. Suppose -12*c + 92 = 128. Give b(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -637*o**2 - 2*o + 1689*o**2 + 2*o as g + b*o + u*o**2 and give u.\nAnswer: 1052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -184, -235, -94, 425, 1508?\nAnswer: 3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 398265139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 - 7*f**2 - 9*f - 7. Let c be q(-5). Let t(u) = -8*u - 19. Let y be t(c). Let w be 9\/(y\/37 + -2). Round w to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 3*x**3\/5 - 7006*x**2\/5 + 817600*x + 2728448\/5 = 0.\nAnswer: -2\/3, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1\/6))**(-39)*(p**(-4\/5)*p*p)\/p**11 assuming p is positive.\nAnswer: p**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/5))**27\/(x*x**(-20)*x*x*x**(-11\/4)) assuming x is positive.\nAnswer: x**(611\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 265479 is divided by 5105?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*h**2 + 4*h**2 + h**2)*(h**2 + h**2 + 0*h**2 + (19 - 19 + 2*h**2)*(9 - 25 + 12)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oapoggpgapssgsogg. What is prob of sequence aago?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the first derivative of k**2 - 5*k + 7. Let y be a(5). Suppose 1 = -4*j + y*j. Sort j, 4, 24.\nAnswer: j, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the first derivative of -z**4\/4 - 4*z**3\/3 - 5*z**2\/2 + 2*z + 90. What is the hundreds digit of n(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/4301 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, s: 7}. Give prob of picking 2 s.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -h**2 + 1\/2*h**5 + 5\/2*h**3 + 0*h - 2*h**4 + 0 = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2.9? (a) -4\/7 (b) 6 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9066, 9062, 9058?\nAnswer: 9054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-1\/28)*k\/(k\/k**15) assuming k is positive.\nAnswer: k**(419\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be (8\/(-24))\/((-2)\/18). Suppose b*k = 4*k + 1, -z - 4*k = 8. Let y(a) = -2*a - 6. What is y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 943234 take away -0.37?\nAnswer: 943234.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 34380073 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-1)\/4*-4*18 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*g**3 + 15*g**2 - 15*g**2 + (-1 + 1 - 3*g)*(-4*g**2 + 0*g**2 + 2*g**2).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let 2*r**4\/3 - 197036*r**3\/3 + 1617632718*r**2 + 788144*r\/3 - 19411592648\/3 = 0. What is r?\nAnswer: -2, 2, 49259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.461 - 0.079. Let k = h - 1.11. Let y = 0.05 - k. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4267, 8537, 12807, 17077, 21347, 25617?\nAnswer: 29887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 2*a. Let f(o) = 1634125*o. What is f(i(c))?\nAnswer: 3268250*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - 4) + -1 + (55 - 53)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -5*k**4 + 5*k**3 + 5*k**2 - 11*k. Let g(o) = 70*o**4 - 70*o**3 - 70*o**2 + 155*o. Let w(i) = -6*g(i) - 85*s(i). Factor w(m).\nAnswer: 5*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(1539) - (sqrt(95) + (sqrt(95) + (sqrt(95) - (sqrt(95)*1 + sqrt(95)) - sqrt(95)) - sqrt(95)))\/sqrt(5).\nAnswer: 1 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -65441900 by -8510.\nAnswer: 7690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 2 = -5*h. Let q = -144 - -143.8. Is q > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t**2 - 472*t + 4032 = 0.\nAnswer: -126, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/61, -0.3, -5 in descending order.\nAnswer: -3\/61, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be 40\/(-12)*12\/(-10). Suppose 0 = -8*r + m*r. Solve r = z - 3*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -401.7 and -1.2.\nAnswer: -402.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -105570 divided by 207.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -813122 divided by 11\nAnswer: -813122\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -1037*q**3 - 18*q - 4. Let x(w) = 259*w**3 + 4*w + 1. Calculate 2*s(z) + 9*x(z).\nAnswer: 257*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 423931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/4 - 7) + -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 4*z**2. Let o(k) be the first derivative of -k**6\/120 - 8*k**3\/3 + 6. Let p(c) be the third derivative of o(c). Calculate h(p(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 0*l**3 + 4*l - 2*l - 1 + l**3. Let w be s(1). What is the third derivative of d**2 + 0*d**2 - 2*d**4 - 3*d**w wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 - -4. Suppose -3*w + 4*r + 3 = 0, 3*w + w + 2*r - 26 = i. Solve 4 = -5*p + 4*u - 0*u, w = -3*p + 5*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -14\/11, 4, -2?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -7*s**2 + 3*s - 3. Let n(m) = -15*m**2 + 5*m - 5. Let k(v) = -6*n(v) + 13*y(v). Let l be k(9). Is (-6)\/l - (-458)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = -2*o - 46, -3*i = 5*o - 19 - 13. Solve -6*r = u - 2*r - i, 2*u = -r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15 + 6. Suppose 0 = 5*x + 5*i - 95, 2*x + 0*i - 4*i = 62. Suppose 0 = -5*o - 2 - x, 0 = 3*k + 5*o - 5. What is the least common multiple of m and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2062, -4103, -6142, -8179, -10214, -12247, -14278?\nAnswer: -16307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -397090 divided by 5\nAnswer: -79418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, h: 9, w: 1}. What is prob of sequence pw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.9 - 0.1. Let c = n - 5. Put -3, c, 5 in ascending order.\nAnswer: c, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 61108.39l to millilitres.\nAnswer: 61108390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*w - 69*w + 1694 = 105*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + 1 = -3*j, 0*j + 3*u + 22 = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -50, 1386 in decreasing order.\nAnswer: 1386, 4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1365 - 1355. Solve 0 = -8*c + g + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4427062 + 15?\nAnswer: -4427045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**2\/5 + 1206*y\/5 - 16117.\nAnswer: -(y - 1135)*(y - 71)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-154)\/(-90))\/((-444576)\/(-181872)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 337 + 780 = -361*s + 34. Let q(j) = -5. Let u(b) = b + 1. Calculate s*u(o) - q(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -51, 11, -307 in ascending order.\nAnswer: -307, -51, -8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkklkklkkklkkkkllkk?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001501852 to six decimal places.\nAnswer: 0.001502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7456\/11 + 58189\/66. Let d = 204 - n. Sort d, -0.2, 3, 8 in descending order.\nAnswer: 8, 3, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -36\/7? (a) 0.3 (b) -5 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a*a*a\/a**(-2\/11)))\/a**(-2))**(-3\/32) assuming a is positive.\nAnswer: a**(3\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -3*a**3 - 246*a**2 - 2*a**4 + a**3 + 3*a - 2 + 251*a**2 - 5*a in the form v*a + d*a**4 + p*a**3 + h + l*a**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x**2 - 391 - 6738*x**3 + 6722*x**3 - 2*x**2 + 389.\nAnswer: -16*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 0 + 12323?\nAnswer: 12323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6312.32m?\nAnswer: 6312320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -71 + 70.11. Let n = w + 1.137. Round n to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.03 - -11.03. Let h = -12 + q. Which is the second smallest value? (a) -0.1 (b) h (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.08 (b) 99.9 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 27 - 4 + 4*r**2 - 5*r**2 - r. What is the tens digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10866615 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*f - 3 = 5*w, 472*f - 3*w - 5 = 468*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (14\/3 - 8\/(-24))*1. Let y(a) be the third derivative of a**6\/120 + a**4\/6 - 5*a**3\/6 - 3*a**2. Let x(m) = m**3 + 5*m - 6. Determine b*y(t) - 4*x(t).\nAnswer: t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n - 45 = 5*a, 128012*a + 2*n = 128013*a + 9 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 347888588.\nAnswer: 2, 86972147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.12 - -72983\nAnswer: 72982.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 5152 by -14.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1242 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11.8 - 22.4. Let t = 2307372 + -2307382.59909. Let u = w - t. What is u rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 17 = 9. Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -12*h**2 + 257*h + 1590. Give y(-6).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4 or 39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 14.9 times 2522?\nAnswer: 37577.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 46065, 157, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -2*s**5 - 220114*s**4 - 8075175564*s**3 - 98756704248620*s**2 - 197456886670450*s + 296221666314750 = 0.\nAnswer: -36685, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 29615381 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6245505.\nAnswer: 3, 5, 7, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 113705148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -100*i + 22842 + 127058. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x - 11*x + 2*x)*(-185 - 214 + 278).\nAnswer: 847*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 115205081281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.2, -2, -119, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -203 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) 5 (c) -18590 (d) 3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the third derivative of -c**5\/10 - c**4\/8 + 3*c**3\/2 - 211*c**2. Let d(k) = 3*k**2 + k - 4. What is -9*d(n) - 4*t(n)?\nAnswer: -3*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -3 (b) 3\/2 (c) 0.5 (d) -0.12 (e) -0.5 (f) 3\/1112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 68 = 68. Let y(g) be the second derivative of 1\/6*g**4 + 0*g**3 + g + m + g**2. What is the derivative of y(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2\/3 + 385353*t - 1156058\/3.\nAnswer: -(t - 1156058)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 225 - -325. What is the lowest common multiple of 350 and h?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 190, 139, 52, -71, -230, -425, -656?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 116*y - y - 42*y - 18*y.\nAnswer: 55*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lml when three letters picked without replacement from {l: 2, b: 1, f: 5, m: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 36, 172, 400, 720, 1132?\n\"Answer: 46*f**2 - 2*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + -8 + 39 + -13 - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = 32 - 28 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -3, 4, 19, 42, 73, 112, 159?\n\"Answer: 4*c**2 - 5*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 6 + 3. Let t = 55 - h. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 12707*w + 8 + 33*w**2 + 12707*w.\nAnswer: 33*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let 5*a**2 + 39640*a - 39645 = 0. What is a?\nAnswer: -7929, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 24562505 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 - 1 - -90*(-7)\/(6125\/(-140))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 506447?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a + 0*a + 3*a + (3*a + a - 3*a)*(1 + 0 - 2) - 2 + 2 + 4*a + (3*a + a - 5*a)*(2 - 2 + 1) - 2*a - a + 6*a)*(-1 + 1 - 1).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the second derivative of 0 + 1\/4*n**4 + 5*n + 2\/3*n**3 - 3*n**2. What is the least common multiple of v(-3) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -k + 2*c - 16, 17 = k + 3*c. Suppose -3*i - 10 = k*i, -n + i = -18. Suppose -t + m = -n, t + 4*m = 2*m + 16. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1\/768 (c) -3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2\/(-6))\/(3\/9). Is v*(-1 + 2) - -23 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/400 and 49\/11600?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -2*t**3 - 5*t**2. Let p be 4576\/48 + 1\/(-3). Let x = 89 - p. Let i(u) = 4*u**3 + 9*u**2. Calculate x*i(y) - 11*o(y).\nAnswer: -2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 38.14 minus -2.4?\nAnswer: 40.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -2 + -4*(sqrt(128)*2 + sqrt(128) + -4).\nAnswer: -96*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, i: 2, g: 1, k: 4}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 7*c + 5 + 0 - 4. List the prime factors of y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -9*(-3)\/(45\/20). Let g(w) = -2*w + 2. Let j be g(-2). What is the tens digit of (-20)\/v*j\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -443 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -2317\/285 at most -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-6)*(3 - 3). Let g = k - -2. Calculate the remainder when 3 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -79 (b) 0.4 (c) 3\/2 (d) -3\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10389 and 498.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 92.83732 centuries in millennia?\nAnswer: 9.283732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**3 + a**2 + 1. Let p(f) = 4*f**3 + f**2 + 1. Give 6*d(l) - 6*p(l).\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 577 divide 105601386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5.93 + -0.07. Let v = h + 9. Sort -0.5, v, -0.06 in increasing order.\nAnswer: -0.5, -0.06, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = -3*f + 2*t + 39, 0 = 2*f - t - 47. Let u be (-1297806)\/f - (-5)\/(35\/2). What is u rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3 - -2) + -2 + -2. Let h be (-1 + -1)\/8 - (-252)\/(-16). Let v be h\/(-6) + (-18)\/27. What is the smallest value in 3, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 13. Suppose 5*z - z + 4*g = -16, -5*z = -3*g - t. Suppose -2*m + 0 + 16 = z. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -2180886696192 and 0.02.\nAnswer: -2180886696191.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -9221931 divided by -35883\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1*7\/(-21))\/(-1) + (-140)\/735.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22705, 22823, 23015, 23281?\nAnswer: 23621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2548317329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6553.1394312 - 6638.1395. Let v = -68 - 17. Let g = x - v. Round g to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20006 is divided by 345?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-115)\/15 + 2\/3. Let v be a + 4 - -2 - -1. Solve 2*c + 6 = -4*n, -2*c - 6 = -n - v*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - 19 = -8*i, -522*i + 520*i + 11 = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 48269 less than 48182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3214 + 7370. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/10 and -77\/26521402.\nAnswer: 132607010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 146883 is divided by 2886.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15705679 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) be the second derivative of -4*w**3 - 3*w. Suppose -s + 83 = 10. Let x(p) = p - s + 73. What is k(x(i))?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 32691 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 251730, 503459, 755188, 1006917, 1258646?\n\"Answer: 251729*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 - 4. Let i(n) = -3*n**2 - 18*n - 10. Let v(u) = -4*u**2 - 22*u - 12. Let g(y) = 7*i(y) - 6*v(y). Let b(t) = t. What is o*g(h) + 4*b(h)?\nAnswer: -3*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 128327105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - -1767.\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 7\/4 (c) 3\/4 (d) 5 (e) 48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-161046)\/4830 + (-2)\/(-160)*16)*14\/(-4).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 279119531 a multiple of 1672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3, -5 in ascending order.\nAnswer: -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-35)\/1*(7 - (-5 + 11)). Is 2 a factor of (u\/(-28))\/((-2)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) - (sqrt(18)\/sqrt(3))\/sqrt(3) - sqrt(2))**2 - sqrt(160)\/sqrt(5).\nAnswer: -4*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 985829?\nAnswer: 13, 75833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -a (base 11) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 109811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*f + 8*f = 30 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jbdjjzjppjjddbz. What is prob of sequence bzb?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 90 + 20. Suppose 3*d = -2*d + 60. Calculate the least common multiple of u and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.23+-7726\nAnswer: -7726.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -12\/17 (b) -3\/5 (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3685622556 to the power of 1\/3, to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1166, 0.07 in descending order.\nAnswer: 0.07, 0, -1166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(3\/7))**(2\/83)*p**18*p**(-23))**(-46) assuming p is positive.\nAnswer: p**(132710\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6 + 10416 - (15\/1)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 783874 divided by -2\nAnswer: -391937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t = 5*d + 33, d - 2*t = 216 - 217 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -3, -4, -16, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 235 or 3282?\nAnswer: 3282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 708037 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 3264281560 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1184\/(-6)*(-10665)\/56880?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -83 - -38 - -58 - -34.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 507980211?\nAnswer: 3, 29, 1187, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -11490000 rounded to the nearest 100000?\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7953985 or 0?\nAnswer: -7953985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tta when three letters picked without replacement from ttctatxataxat?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5 and 392.\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.18 and 801.2?\nAnswer: 144.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 19404 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/5512 and -47\/12.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -331\/38 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -28920 by 6.\nAnswer: -4820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes before 5:41 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -4 + -5 - (-6 - (-1 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of 2*h**2 - 14*h - 1. Suppose -j - 12 = -1. Let o be l(j). Round o to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 276, 755, 1632, 3105, 5372, 8631?\nAnswer: 13080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8055 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from pwwjwxn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 27 divided by -1565?\nAnswer: -27\/1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -231 + 240 - (0 + (2 - 2\/2))*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -870335 minus 7186910?\nAnswer: -8057245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-11) + 26\/(-22). Suppose 0 = -10*q + 13*q + 3. Let z = q - u. Solve p - 3*p + 6 = z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 127, -3\/4, -0.3, -2\/13, 2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**2 - c. Let d(s) = -8*s**2 - 9*s. Determine -d(f) + 4*z(f).\nAnswer: 4*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 113\/10 and 141\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*n - 2*l + 4 = -18*n, n - 4*l + 14 = 0. Solve 80 = n*x + 10*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 299657859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*g = -10*g - 0*g - 92 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/6 - (-20)\/(-8)) + -3 - (51 + -33).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (18345\/(-2))\/(27\/900). Let h = 126750 + w. What is h rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27564167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10469*v**3 - 10099*v**3 + 30701*v**3 - 10136*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wvnwnnwkwwwwg. Give prob of sequence kv.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 3.465295 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -3\/5, 0.009, 4\/41, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 73 - ((155 - 78) + -74).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 927724087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 + 2*u**2 + 3*u - 2. Suppose 0 = -5*z - 7*a + 2*a + 35, 4*z + 2*a = 18. What is g(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 467271868?\nAnswer: 2, 7, 16688281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 1)*(-w + 0*w - w)*(-1425*w + 502*w - 204*w).\nAnswer: 4508*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times 91406?\nAnswer: -9140.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1385857738*z + 1385857738*z + 5*z**3 - 36*z**3.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 263872 and 4782680.\nAnswer: 38261440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w**3 - 12*w**2 - 13*w + 7. Let x be v(10). Let z = 679 - x. Factor 2*l**3 + 2\/3*l**4 - 4\/3 - 2*l + 2\/3*l**z.\nAnswer: 2*(l - 1)*(l + 1)**2*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 33139 + 10316. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand l**3 + 2*l**2 - 2*l**2 + (-3*l + l + 4*l)*(0*l**2 + 0*l**2 + 2*l**2) - 59*l**2 - l**3 + 1 + 59*l**2.\nAnswer: 4*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (76\/(-57))\/((-6)\/(-1)). Let q = 37\/9 + -38\/9. What is the biggest value in r, q, -4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5834 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -42 - -159. Let w = j - 117.1. Let y = -10 - -9.7. Which is the closest to -2\/85? (a) 0.3 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 10213, 20390, 30565, 40738?\n\"Answer: -c**2 + 10180*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 3*p = 3904 - 12339, 0 = 2*c + 2*p - 3390. Calculate the lowest common multiple of c and 70.\nAnswer: 11830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 111 and 24620503.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-12)\/(-84) + (-3 - 141\/(-42)))*18. Solve 20*x - 29*x + i = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 861105 > -1168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 PM and 9:20 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1002200806+0.0056\nAnswer: -1002200805.9944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-20 + 20 + 2*r)*((1 + 3 - 1)*(-r**2 - r + r) + (r + 4 - 4)*(-r - 3 + 3) - 4*r**2 + 4*r**2 - r**2) to the form f*r + d*r**3 + v*r**2 + o and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 5*m**2 + 4*m - 4. Let o(q) be the first derivative of -4*q**3\/3 - 3*q**2\/2 + 3*q + 1. Suppose 59*t + 49 = 65*t + 37. Calculate t*c(j) + 3*o(j).\nAnswer: -2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 131, 123, 103, 65, 3?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10, -32, -56, -82, -110?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -2*h**2 + 1900*h - 263971. Give i(169).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 22\/3 (b) 1\/5 (c) -3 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 19312105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14 - 29 - -7) + (-66)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 76, 40, 4, -32, -68, -104?\n\"Answer: -36*i + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s**2 - 2 + 2)*(s**2 - 3*s**3 - s**2 + (-5 + 5 - s**2)*(-2*s + 9 - 9)).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 15 = n. Let w(f) = 12*f**2 - 1. Let y be w(-1). Let l = y + n. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16*y - 358*y**2 - 24*y**6 + 361*y**2 + 107*y**6 wrt y?\nAnswer: 9960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -120*h**2. Let r(c) = c + 2. Calculate m(r(p)).\nAnswer: -120*p**2 - 480*p - 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-38472)\/(-70))\/(2\/10).\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -23589025 divided by 4717805\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 85\/72 and -173\/22520988.\nAnswer: 45041976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24674934 and 2.\nAnswer: 24674934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 5*q - 11 = 0, 5*d + 4*q - 19 = 3. Suppose 4*p + 0*i + 9 = 3*i, 6 = -p + d*i. Let y be 2\/2 - 2\/2. Are p and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -5*n + 15, k = 2*k - 4*n + 2. Let g = 5 - k. Let b(j) = -2*j - 8. Let o be b(-8). Solve -4*h = -0*a + 5*a + o, -3*a = g*h + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 41*x - 128. Let o be z(4). Let t(p) = -o + 2*p - 3*p + 18 + 18. Let m(r) = -114*r**2. Determine m(t(j)).\nAnswer: -114*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 - 6. Let h be ((-260)\/(-30))\/(x\/(-6)). Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 33 + -18. Let r = -14.6 + u. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes after 3:19 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 465*b**2 + 244*b**2 - 708*b**2 + 6863 to the form h*b**2 + m + r*b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 15592149 plus -0.08?\nAnswer: 15592148.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2233 - -988. Let b = -592 - j. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -964, -3984, -9052, -16168, -25332, -36544?\nAnswer: -49804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 0 - 18 = -3*m, 2*b = -8. Is ((-870)\/(-45))\/(m\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4a + -47b136?\nAnswer: -47b0b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*s - 30 = -30 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 4. Sort 4, 5, 0, d.\nAnswer: 0, d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-60)\/((-10)\/2)*(-4)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 2 - 210 = -a, 0 = 4*k - 5*a - 308. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i\/((i*i*i\/(i\/(i*i**(2\/5)*i)))\/i)))\/i**(-2\/11))**47\/(i**(-5)*i\/(i**(-4)\/i)*(i**(-1\/2))**(-2\/33)) assuming i is positive.\nAnswer: i**(27607\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9943 and 1708.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*i = -16*i + 8. Let n be (-3 + 6\/1)*i\/(-4). Solve -n*v - 3*b + 3 = 2*v, 0 = 2*v + b - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 4:10 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 146 - 127. Suppose -d*n - 546 = -6*n. Calculate the common denominator of n and -35\/41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of -1 - 1\/12*v**4 + 1\/2*v**2 + 1\/6*v**3 - v. Let q(p) be the first derivative of x(p). Give q(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**5 - 91*j - 4*j**2 - 4*j**3 + 2 + 0*j**5 + 93*j + 2*j**4.\nAnswer: 2*(j - 1)**2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-15)\/6 + 3)*0. Differentiate -3 + l + l + o*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-17066)\/(-6762) + (-49)\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ye when two letters picked without replacement from {k: 1, e: 1, i: 6, y: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2*b - 18. Let s be d(10). Solve -s*f = -7*f - 3*h, -3*f = -3*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rwrw when four letters picked without replacement from rrrwrrwwrw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**2 + 3*m + 4. Give z(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.2, 3\/5, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -14b4a (base 14) in base 3?\nAnswer: -2121210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from deaedkkkdkkdlkdadk. What is prob of picking 1 k, 1 a, and 1 e?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(612) - sqrt(612)*2))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 794527180 and 2622?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 78 + 42. Let r be ((-18)\/c)\/((-1)\/(-4)). Solve -r*w - 2 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 2 = -4*s, -296*m - 3*s - 13 = -294*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1, -0.08, -2, -2\/7, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -429, 3, -0.06 in increasing order.\nAnswer: -429, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -20*u - 5. Let b(q) = -q - 2. Calculate -2*b(z) + n(z).\nAnswer: -18*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:26 PM and 4:04 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 3 (b) 2 (c) -0.1 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 224771368 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -19 - -28. Suppose -o*z + 7*z = 0. Solve z = -3*i + 3 + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -128109 - -128112. Let n = -17\/5 - -61\/15. What is the nearest to -0.1 in n, -4, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((22\/275)\/(2\/(-4)))\/((-22)\/5).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**2 - 45*m - 26. Give f(46).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -n - 12, j + 4*n + 0*n = 1. Let i = j + 9. Solve -3*q - 10 = -i*d, -d = 5*q + 7 + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 - -13)\/(-3) - -16. Suppose 5616 = 5*t - 2*w, -d*t + 5*w = -10*t - 2238. Does 26 divide (-2)\/5 + t\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 + 7. Suppose -2*p + z = -4*z - 9, -2*p + 2*z + 6 = f. Is p greater than 10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1b3a + -405c5?\nAnswer: -42321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve a - 8 = -3*a, -4*g + 14 = -3*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3433 + 103?\nAnswer: 3536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccsssssissccsiclslc. Give prob of sequence scsl.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the second derivative of -z**7\/630 + 3*z**4\/4 - 6*z. Let c(r) be the third derivative of x(r). Let h(v) = -v. What is h(c(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50405588, -50405587, -50405584, -50405579?\nAnswer: -50405572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -40? (a) -1 (b) 23 (c) 3 (d) -1\/7 (e) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7023930 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/21037190 and 93\/22.\nAnswer: 231409090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4 and 2510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(64) + (sqrt(64) - (sqrt(64) - (sqrt(64) - (4*(sqrt(64) + sqrt(64) + -2*sqrt(64)) + sqrt(64))))))\/sqrt(8) - (2 + (sqrt(8) + -2)*6).\nAnswer: -10*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -428, 568, 1 in ascending order.\nAnswer: -428, 1, 9, 568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.2 (b) -1\/3 (c) 2\/41 (d) 14276\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -264752\/353 - -750. Is -1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times -9697163.8?\nAnswer: 38788655.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 336 and 27888?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - -7 - (-9 + 4) - 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p\/(p\/(p*(p**6\/p)\/p*p)*p))\/p*p*p**(-1\/4))\/(p**1*p)**(-49) assuming p is positive.\nAnswer: p**(415\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 19a4d (base 15) to base 6\nAnswer: 1441431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hha when three letters picked without replacement from {y: 1, a: 1, h: 3, x: 1, b: 6, n: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -p**5\/6 - 226*p**4\/3 + 7*p**3\/6 + 1585*p**2\/3 + 452*p = 0.\nAnswer: -452, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 317671 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(143)*-4 + sqrt(143))\/(-1*sqrt(1331)).\nAnswer: -5*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2022001002 (base 3) in base 7?\nAnswer: -245600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1042, 1123, 1086, 883, 466, -213, -1202, -2549?\nAnswer: -4302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-210*x**2 - 55*x**3 + 210*x**2)*(-3 + 3 + x) - 3*x**4 + 4*x**4 + 0*x**4 + x**4 + 3*x**4 - 5*x**4.\nAnswer: -55*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -87*m - 86*m = -163*m + 450 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -64\/3*z**2 + 104\/9*z**3 + 128\/9*z + 0 - 8\/3*z**4 + 2\/9*z**5 = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the third derivative of 1487*z**6\/120 - 1859*z**5\/60 - z**3\/6 - 2*z**2 + 728. Find the third derivative of n(j) wrt j.\nAnswer: 8922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(200) - sqrt(200)*-3)\/sqrt(10))\/(sqrt(16) + 3*sqrt(16) - sqrt(16) - sqrt(4)).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 869.3429ng to milligrams.\nAnswer: 0.0008693429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 3*a**2 - 2*a. Let y = -6 + 4. List the prime factors of z(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -4*f + 416, 0 = q - 5*f + 2*f + 96. Let d = q + 199. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 2*c**2 - 509*c + 20752. Give f(203).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 646443396 divided by 3?\nAnswer: 215481132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -339*i + 21540. Let q(n) = 45*n - 3077. Give 2*a(h) + 15*q(h).\nAnswer: -3*h - 3075","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1196 + 685. Let o = 523 + b. Solve x + o = 5*x, -2*z - 4 = -4*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 1094*h**3 + 62*h**2 + 6*h - 24. Let x(m) = -m**3 + m**2 + m - 4. Let d(r) = p(r) - 6*x(r). What is the third derivative of d(f) wrt f?\nAnswer: 6600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 11:19 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add together 1.54 and 5849.\nAnswer: 5850.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 151775, 303554, 455325, 607088, 758843, 910590, 1062329?\n\"Answer: -4*m**2 + 151791*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 30029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nzn when three letters picked without replacement from zcznnnnnznzczznczzz.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -193, 3, -29, -4, -3.\nAnswer: -193, -29, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -16, 2\/7, 1, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the first derivative of 0*l**3 + 0*l**2 - 50*l - 65 - 65\/4*l**4. What is the derivative of z(x) wrt x?\nAnswer: -195*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1274 in 33, -4\/5, 2\/11, -17?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 2*r. Let b(n) = -n. Let k(q) = -q**3 - 6*q**2 + 3*q + 38. Let x be k(-5). Let g(m) = x*i(m) - 6*b(m). Let j(v) = 3*v**2 + 2*v. Determine g(j(h)).\nAnswer: 6*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1160 and 5608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(1377) - -1*sqrt(1377))**2.\nAnswer: 5511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 80 and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does -2185.7 = -271\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-27)\/6 + 5)*-18. Let s(z) = -5*z + 2. Let d(i) = 0 + 0 + 1. Let c(o) = -6*d(o) + s(o). Let n(k) = 11*k + 9. Determine a*c(l) - 4*n(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 448957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-43)\/(-9) + (-4)\/(-18). What is the tens digit of 101\/q + (-3)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**3 - 3*l**2 - l - 3. Let k be q(-3). Suppose -2*r + k*r = 0. What is the third derivative of r*f**3 + 6*f**3 - f**2 - 4*f**3 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -175*m + 3 + m**2 - 39 + 140*m. Let s be w(36). Solve 0 = -4*y + 2*c - 4*c - 12, s = -y - c - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -152 - -395. Let x = 242.766 - d. Round x to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 145615.\nAnswer: 5, 29123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xhx when three letters picked without replacement from {h: 2, x: 2, f: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1127 - 1052. Calculate the lowest common multiple of n and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**2 - 2*b + 2*b)*(-4*b + 4*b - b) + 6*b**3 + 17*b**3 + 22*b**3.\nAnswer: 44*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 12 + t**3 - 7*t**2 + 135*t - 24*t - 123*t. What is h(8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*p - 16*p - 10 = 3*t, -5*t + 5*p + 10 = 0. Solve 0 = c - t*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 3*h - 20 = 0, -2*h + 8 = -w - 5*h. Suppose w*c - 16*a - 916 = -20*a, -3*a + 460 = 2*c. What are the prime factors of c?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88.34613755 less than -148?\nAnswer: -236.34613755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -24 - -40. Suppose -n + 5*h = 2*n + 12, -m = -4*n - 4*h. Let k be 1*(-1 + 3 - 3). Sort k, 5, n in increasing order.\nAnswer: k, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 938*l - 89 = 5*z + 927*l, z + 16 = 4*l for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 516 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-932)\/(-4) - (-18 + 14). Let d = a + -230. What is the remainder when 41 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**3\/6 + 7*l**2\/6 + 4*l - 30.\nAnswer: -(l - 6)**2*(l + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (36 + 2820\/(-75))*(-6)\/984.\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52273 is divided by 2367?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 183 and 762.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 + 22*p**2 - 7*p + 93. List the prime factors of i(-22).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -2*g - 3*d, g - 6*d + 13 = -4*g. Calculate the highest common factor of 372 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (120\/(-48))\/(1820\/224)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 430*v = 434*v - 2652. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**3 - 4*h**2 - 2*h - 4. Let r(i) = 8*i**2 - 2*i + 22. What is the remainder when r(0) is divided by g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 2 = k. Let v(i) = i**k + i - i. Let u(f) = -3*f + 2. Let m(z) = -z + 1. Let b(d) = -2*m(d) + u(d). What is v(b(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -1\/6029?\nAnswer: -1\/6029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/u**(-10))\/u)\/(u**(-3\/16)*u))\/(u**4*u)**(-3\/4) assuming u is positive.\nAnswer: u**(207\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 0*f - 4 - 11*f + 5*f. Calculate the remainder when 78 is divided by h(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 699, 1176, 1227, 642, -789, -3276?\nAnswer: -7029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -100, -201, -302?\n\"Answer: -101*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -3*w**3 + 9*w. Let l(t) = 13*t + 0 + 0 - 4*t**3. Let m = 30 - 27. Suppose -3*a - 25 = 2*b, a = -b - m - 7. Determine b*l(k) + 7*o(k).\nAnswer: -k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of h**4 - 9*h**3 - 305676*h**2 - 81291*h + 11 wrt h?\nAnswer: 12*h**2 - 54*h - 611352","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Is 5065120553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -34 + 234. Suppose 5*r - 82*n + 79*n = 242, -4*r - 4*n = -t. Calculate the lowest common multiple of 49 and r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 33*s**2 - 470*s + 1725. What is g(7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 15? (a) -1 (b) -1\/5 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 154239 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1 and -41183380.\nAnswer: -4118338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 14.78753 times -66\nAnswer: -975.97698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4090642779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6932 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -686 + 688. Which is smaller: 85 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 66, 86, 112, 144, 182, 226, 276?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 45*m - 39*m + 36*m + (-3*m + 4*m + m)*(3 - 2 - 2) + 0*m + m - 3*m.\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -37, 131, 483, 1019?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 56644359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u - 2*u - 162. Let j = u - -395. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -2*u**3 + 10*u**2 + 15*u - 15. Let v be o(6). Find the third derivative of 82*k**3 + 8*k**v - 42*k**2 - 13*k**3 + 46*k**3 wrt k.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -23, -70, -151, -266, -415?\n\"Answer: -17*x**2 + 4*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 275093684 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d**3 - 3*d**2 - d + 5. Let n be c(-5). Find the common denominator of -23\/16 and 0 + 357\/n + 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 448 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -198.8 (c) 5 (d) -2 (e) 0 (f) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 15) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 4*i = -2*i - 17624, 0 = 2*z + 4*i + 8792. What is the hundreds digit of 12\/(z\/(-628) + -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59627346589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -38 * -0.51\nAnswer: 19.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -6, -4, 5, -31553 in increasing order.\nAnswer: -31553, -6, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 309 divide 551554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -5*y + 13. Let f(u) = -9*u - 3*u - 6*u + 5 + 15*u + 2. Calculate 4*d(c) - 7*f(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3\/22 (b) 10 (c) -22 (d) -0.2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54339616?\nAnswer: 2, 17, 23, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 5*k - 6. Let l = k + 0. Find the third derivative of -2*w + 3*w**l + 3*w - w - 3*w**4 wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + 18 - 4 - (0 + -3)) + 29?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 31*r**2 + 445*r + 11403. Does 155 divide o(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/8 + (0 - (-2 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*p - 97 + 301 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 20 - 17. Suppose -n + 1 = -0*n, 5*n - 2 = t*q. Let z(u) = 19*u - 3. Let g be z(q). Calculate the highest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -385*m**4 - 2756290*m**3 - 28056715*m**2 + 22234590*m + 8578800 = 0. Calculate m.\nAnswer: -7149, -120\/11, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 1583*z + 70. Let w(o) = -262*o - 12. Let k(c) = -6*i(c) - 35*w(c). Let b(s) = -15*s**2. What is b(k(g))?\nAnswer: -1613760*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4621, 9152, 13595, 17950, 22217, 26396, 30487?\nAnswer: 34490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 12041 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: Let v be 9\/(189\/(-77)) - (-5 - -1). What is the nearest to v in 12, 4\/9, 5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7359 + 8*z**2 - 7353 - 11*z**2 to s + v*z + i*z**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be (22 - 1)*(4 - (-10)\/(-3)). Suppose 15*w = k*w - 75. Let d = w + 73. What is the nearest to 10 in -1, d, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 2*a = 8209 - 8121, 3*a = 6*z - 105 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1876228829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*b**2 - 98*b**3 + 5*b**2 - 31*b**3 - 22*b**3 - b**2 to the form d*b**2 + z*b**3 + g + f*b and give z.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*o + 297 + 839 - 2866 - 7764.\nAnswer: -7*o - 9494","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -14, -37, -62, -89, -118?\n\"Answer: -g**2 - 20*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2019\/1391 or 0?\nAnswer: -2019\/1391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000046593 to six decimal places.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -4, -14 in decreasing order.\nAnswer: 8, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 + 9*f**2 + 5*f + 10. Calculate s(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1557 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -49 + 51. Is -0.6 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 57 = -4*h, 116*m - 120*m - 12 = 4*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - f**2)*(3*f**2 + 0*f**2 - f**2) + f**4 + f**4 + 7*f**4.\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6587 is divided by 1376?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -2576831 (base 12) to base 13\nAnswer: -16b1b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6801*p - 21 = g + 6793*p, -2*p - 2*p + 20 = 0 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + h - 9. Suppose 9 = h*v - 6. Let r(f) = -f**3 + 5*f**2 + f - 2. Is r(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -2*f - 85*d + 87*d, -3*f + 10 = d. Solve -4*p + f*u - 13 = 0, 2*p + 9 = -61*u + 66*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2))**34*u**19*u\/(u*u**(-9\/7)*u) assuming u is positive.\nAnswer: u**(-341\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h**5 - 4*h**5 + 2*h**5 + (0 + 0 - 3*h)*(-3*h**4 + 8*h**4 - 2*h**4).\nAnswer: -13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85) - (sqrt(85) - 6*(sqrt(85) - sqrt(85)*1)))\/(sqrt(20)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1354.3 - 1350.3. What is the smallest value in -0.1, u, -41\/2, 7?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-10))\/(14\/175)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c + 3*c - 5*c**2)*(-2 - 2 + 1) + (-2*c - 4*c + 4*c)*(2*c - 4*c + 4*c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 140 divide 3240843340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1751294062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -9*s + 449. Let y be i(-18). Calculate the highest common factor of 47 and y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.0814 from -5.\nAnswer: -4.9186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kasi when four letters picked without replacement from ksakkikkkbskaass?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*i**3 + 11*i**2 - 90?\nAnswer: -9*i**2 + 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -14, -2194, 31, 3, -6 in increasing order.\nAnswer: -2194, -14, -6, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 2*d**2. Let x(j) = j**2 + 21*j - 48. Let f be x(-23). Let m(z) = -z**2 + 125. Let s(q) = -125. Let n(t) = f*m(t) - 3*s(t). Give n(p(a)).\nAnswer: 8*a**4 + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lh when two letters picked without replacement from {c: 5, m: 5, l: 1, b: 1, i: 5, h: 3}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the second derivative of 3*q**5\/10 - 2*q**3 - 9*q. Find the second derivative of w(y) wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - ((0 + -6 - (-14 - -15)) + -17 + 17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56812 divided by -4.\nAnswer: -14203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w - 4. Let q be u(-9). Suppose -4*o = -q*t - 20, -6 = 2*t + 2*o - 4*o. Let r = t + 33. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a**2 + 12778700*a - 8164758684500 = 0.\nAnswer: 1277870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -58839*v + 117678. Determine r(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - 1 - (-4 - (6 - 14))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/11 in 1, -3205, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 3*q**3 + q**2 + q - 3. Let w(t) be the first derivative of -t**4\/2 - t**3\/3 - t**2\/2 + 3*t - 4975. What is -4*r(a) - 5*w(a)?\nAnswer: -2*a**3 + a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 263641326 is divided by 1264?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 806506098 to the power of 1\/3, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26484?\nAnswer: 2, 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 12721 - 321?\nAnswer: 12400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -531.16 - 6.84. Let s = f + 538.0001043. What is s rounded to 6 decimal places?\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 4*g + 28, -25*g + 30*g = 3*k - 35. Solve k = -c + 1, 2*y + 3*c - 3 = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 11 = 3. Suppose 3*y - q = 140 - 33, v*y = -2*q + 66. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11472520.99 + 20467.01. Let m = f + -11493076.99929. Let x = -89 - m. What is x rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -11129, -11182, -11235, -11288?\n\"Answer: -53*s - 11076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 - -9. Suppose u + 51 = 5*f, -m*u + 72 - 24 = 5*f. Let k = f + -8. Solve -17 = -5*j - k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 1\/7, -2\/13, 127\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from rrrrrlrrlovrrororvro.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 328.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -76.6 + 76.5999323. What is y rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {b: 1, g: 2, p: 8, r: 2, k: 2, u: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 566 + -560.86. Round p to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/10)\/((-32)\/80)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*p + 3*p**2 + 176 + 5*p - 163 + 89 to s*p**2 + n*p + f and give f.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -d - 4 + 98*d**3 - 78*d**3 - 61*d**3 in the form r*d + j + l*d**3 + w*d**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2308608 is divided by 769526.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1277510 and 49569?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 107920776 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 53413 + -10?\nAnswer: 53403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 44*j - 54*j. Calculate the common denominator of 5 - 1239\/198 - j\/4 and -127\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (27\/15)\/((-12)\/(-40)) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 4516255*p - 3. Let j be y(10). Let d = 27362547 - j. Round d to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w + 3*w - w)*(w**2 - 2*w**2 + 4*w**2) + 2*w**3 - 8*w**3 + 0*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**3 - 13*w**2 + 16*w + 31. Let t be c(-14). Let s = -59 + 56. Put t, -2, 6, s in ascending order.\nAnswer: s, -2, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2828.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:22 PM and 11:34 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 241137 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - -9 - (37 + (48 - 39 - 25)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 2*u + u**3 + 4*u**2 - 13*u**2 - 738 + 715. Let i be g(9). Sort -1, -2, i.\nAnswer: i, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/(-12) + (-80143)\/(-4494).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1316*g*i**3 - 27*g*i**2 - 2*g*i - 47756*g + 4*i**3 + i - 1 wrt i?\nAnswer: 7896*g*i - 54*g + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -366 - -16471\/45. Is l equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13520, -27036, -40552, -54068?\nAnswer: -67584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 74*u - 134. Calculate the remainder when m(14) is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h**3 + 82*h**2 - 88*h - 168 = 0.\nAnswer: -42, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.575 + 0.175. Which is the third smallest value? (a) k (b) -13 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 14775 (b) -13\/43 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1154*o**2 - 2359*o**2 + 1201*o**2 + 2*o.\nAnswer: -4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 9) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 756702533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 183\/((((-51)\/221)\/(2\/26))\/(-1))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the second derivative of -d**5\/20 + 5*d**4\/2 - 13*d**3\/3 - 28*d**2 - 34*d. Does 24 divide q(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 122 - 121.9024. Round i to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*y + 2*z, 2*z = -2 - 0. Let l = -7 - -12. Find the third derivative of l*n**y - 2*n**2 + n**5 - 3*n**5 - n**5 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 556328077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1091, -2177, -3269, -4367, -5471, -6581?\nAnswer: -7697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 4, -596, -126 in decreasing order.\nAnswer: 6, 4, -126, -596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -6*a**2 + 49*a + 10. Let t(d) = -d + 8. Let h be t(13). Let c(g) = -15*g**2 + 123*g + 24. Let k(o) = h*c(o) + 12*w(o). Solve k(v) = 0 for v.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1748*l**2 - 2185 with respect to l.\nAnswer: 3496*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-1\/2))**(-47)*(v\/v**0)**(-2\/89))\/((v**(-1))**(1\/38)\/(v\/(v**1\/v))**(-38)) assuming v is positive.\nAnswer: v**(-24513\/1691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -4368920 to the nearest ten thousand.\nAnswer: -4370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 77016.\nAnswer: 2, 3, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t - 6. Let q(o) = -1. Let y(k) = 3*q(k) - x(k). Determine y(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 203819.4198 to 0 dps.\nAnswer: 203819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, 1\/343, -5\/4, 0.\nAnswer: -5\/4, 0, 1\/343, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or 1997?\nAnswer: 1997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.10076902 rounded to three decimal places?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20073050 - 20073050 - 6*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 20086237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 7*u**2 - u + 3. Let m be f(-4). Suppose -299 + m = -2*z. Calculate the common denominator of (0 - 3) + 385\/z and -103\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 4*v + 3 = 4*g, -v - 9 = -2*g. Let f = 13 - 8. Solve f*n = -0*d + d - 29, 0 = g*n + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d. Let b(z) = -72*z + 1368. Let t be b(19). Let v(f) be the second derivative of -3\/2*f**3 + 0 + 17*f + t*f**2. Calculate h(v(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 120063.9 to the nearest 100.\nAnswer: 120100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 719362 + 156110. Let r = 49035 - 12507. Suppose -8*g + a = -r. Round g to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -279385 take away 4?\nAnswer: -279389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.764216 kilometers to meters.\nAnswer: 2764.216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20332, 20553, 20774, 20995, 21216, 21437?\nAnswer: 21658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1251\/265 - 2\/159. Find the common denominator of w and ((-47)\/60)\/((-6)\/15).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-425)\/(-3060)*36 - 201\/36\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2*b**2 - b + 9. Let l(d) = 3*d**2 + d - 9. Calculate 3*l(s) + 4*n(s).\nAnswer: s**2 - s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((4\/6)\/((-440)\/275)*(-28)\/7)\/(-8).\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*w + 0*w + w + (-w - 2*w + w)*(0 - 4 + 2) + 339*w - 3112*w - 1842*w.\nAnswer: -4613*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -5*t**3 - 2*t**2 + t. Let h(q) = 26*q**3 + 11*q**2 - 6*q - 1. Let g be ((6\/8)\/1)\/((-12)\/8)*-4. Calculate g*h(n) + 11*b(n).\nAnswer: -3*n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 108903 at most 108902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 15*z - 19. Is h(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 74\/11 in -0.4, 5, 0.03?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -9*s**2. Let c(u) = -7*u + 9. Let a(t) = -7*t + 4. Let b(q) = -q. Let n(o) = a(o) - 4*b(o). Let y(k) = 4*c(k) - 9*n(k). Calculate y(j(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -1. Let z(y) = -2*y - 2. Let i(r) = 3*r + 3. Let m(x) = 3*i(x) + 4*z(x). Let p = 1 - -1. Let t = 0 - p. Determine t*m(c) - u(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -97\/11920 and 93\/5600.\nAnswer: 834400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13503 + 13515. Solve -3*j - c = -0, d - 4 = 2*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -2*c + 33, 2*d - 37 = -4*c + 37. Sort c, 5, -3, -5.\nAnswer: -5, -3, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence suv when three letters picked without replacement from {a: 3, v: 5, u: 2, t: 3, s: 3}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 93 - 103 - 184\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2\/179 - -167\/1074. Let f(k) be the second derivative of 0 + k - t*k**3 - 1\/2*k**2. What is f(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -12\/17 (b) -5 (c) -0.2 (d) 0.5 (e) -25 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9 + 9.0064. Round r to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) -2\/7 (b) 0 (c) -1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/4, 4\/7, -0.3, 26, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/15, 1\/34, -2\/29?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 88920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/60)\/((9\/(-6))\/(-3)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 81.94021m to centimeters.\nAnswer: 8194.021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -1\/9, 2, 2\/35, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4755 + -109285\/23. Let c = q - 1553\/506. Let h = 45\/89 - 2417\/2492. Calculate the common denominator of h and c.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -14*127\nAnswer: -1778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 174626734 a multiple of 677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, -0.78, 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is r in -2*r**5\/11 - 136*r**4\/11 - 70*r**3 - 1636*r**2\/11 - 136*r - 496\/11 = 0?\nAnswer: -62, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 - 9*y**2 + 12*y + 3. Give i(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/172 and 19\/104.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 33, 208, 471, 786, 1117?\n\"Answer: -6*c**3 + 80*c**2 - 23*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is z in -3*z**2\/4 - 7653*z\/2 - 19522803\/4 = 0?\nAnswer: -2551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x + 3 = -3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3a4ae (base 16) to base 8.\nAnswer: 722256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.2 + -0.2. Let t = -0.2 - x. Is t > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 39*t - 577. What is the smallest common multiple of 796 and s(15)?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88329861 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (-46)\/3 + (-56)\/(-63)*(-39)\/52.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:27 PM and 10:26 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 970 a factor of 3105940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -4\/9, -3, -5, -1\/6 in descending order.\nAnswer: -1\/6, -4\/9, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 92828 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1703 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -50*o + 32*o. Solve -2*g + o*j + 2 - 16 = 0, 4*g - j + 19 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the second derivative of 5*k**7\/14 - 11*k**6\/3 - 41*k**5\/4 + 215*k**4\/3 + 590*k**3\/3 - 240*k**2 + 1864*k. Find a such that j(a) = 0.\nAnswer: -2, 1\/3, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -636442, -1272880, -1909318, -2545756, -3182194?\nAnswer: -3818632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(252)*2*-4 + (sqrt(252) - (3*-2*sqrt(252))**2).\nAnswer: -9072 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-128)\/10)\/16*(-4)\/2.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (15\/3)\/10*10*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8.3 < -383\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from prrihirrrhriphh. Give prob of picking 2 i and 1 r.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -208 + 134. Let c = k + 76. Suppose -3*h + 12 = s + c*s, s + 2 = h. Let o(d) = -3*d**3 + 1. Give o(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11 - 19. Let s(c) = 2*c**2 - 11*c - 1. Let y(q) = -3*q**2 + q + 1. Let g(r) = -s(r) - y(r). What is g(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 less than -0.01835?\nAnswer: -2.01835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18 - 2*r + 6*r**2 + 18 to h*r + l + x*r**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1154213012 and 848?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -19*p - 2. Suppose -c - w + 2 + p = 0, c - w = 12. Calculate the smallest common multiple of 13 and c.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-1*sqrt(1225) - sqrt(1225) - (sqrt(1225) - (-6*sqrt(1225)*2 + sqrt(1225))))\/(-6*1*sqrt(63)*-1).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-15)*2)\/((-15)\/50).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the second derivative of o**6\/240 - o**5\/40 + o**3\/3 - 5*o**2\/2 - 9*o. Let z(i) be the first derivative of d(i). Determine m, given that z(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-15 + 15 - 16*k)*(k - 15*k**3 + 4*k**2 - 181 - 6*k**2 + 182) as c*k**2 + f*k**4 + j + h*k**3 + r*k and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 191 - 149 = -39*s - 192 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -5*v + 15, -v + 2 - 1 = -2*b. Suppose -7*q = -b*q - 3072510. Suppose 2*y - 154502 = -q. What is y rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 26? (a) -2 (b) 5\/6928 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Solve 131 = -7*d + 96 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 1 + 4*(-15)\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-42)\/9 - 18\/(-27). Let p(f) = -f**2 - 8*f - 9. Give p(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**3 - 248337*p**2 - 1738310*p.\nAnswer: -p*(p + 7)*(p + 248330)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -127\/53200 and 67\/12600.\nAnswer: 478800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 117 + 384 = 3*g, g - 175 = -l. Is (57\/g)\/(-2 + 276074\/138036) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 4*v**3 - 7*v**2 + 4*v - 28. Let z(w) = w**3 - 2*w**2 + w - 9. Let k = 24 + -22. Let i(f) = k*g(f) - 7*z(f). Determine i(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 - 0. Let k = 48 + -46. Find o, given that 2*o**2 + r*o**k - 2*o**5 + o**5 + 3*o**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-28 + -2)\/((-6)\/(-4)). Let g = s - -25. Suppose 34 = 4*j - g*a, 3*a + 2 = -j - a. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*(2119969 - -5) + 1. Suppose 0 = -2*y + o - 4240005, 5*y - 4*y + 5*o + s = 0. Round y to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t - 1. Let i(x) = x**2 + 8*x + 5. Let j be i(-6). Let g = 9 + j. Calculate the least common multiple of o(g) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 127020 by 174.\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l - 3*g + 21, 0 = 3*l + 2*g - 5*g. Suppose 9 = -r - 3*k, -r - k = -l*k - 11. What is the remainder when 8 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 298.366ml in litres?\nAnswer: 0.298366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-130)\/14 + 2\/7. Let m be (2\/6)\/(8\/l). Let j = -6.029 - -8.029. What is the closest to 0 in m, -1\/2, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = f + 2, -4*k + 134 - 120 = 5*f. Solve -2*g - f*g = w + 16, -2*g = 3*w + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -0.2 and -37\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 3 - 2*p**2)*(-p**2 - 2*p**2 + 5*p**2) - 9*p**4 - 139 + 139 to n*p**3 + o*p**2 + f*p + x + h*p**4 and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2012692702?\nAnswer: 2, 53, 241, 78787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4*3\/3 + 4. Calculate the common denominator of (-1)\/4*(-178)\/3 and (-46)\/(-20)*l\/(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-8)*(-36)\/((-18)\/3)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -9*k + 4*k + 3*k - 1. Let b(f) = -3*f - 4. Let i be b(-6). Let j(t) = -10*t - 4. What is i*u(r) - 3*j(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 884 + -1249. Let j = -364.99999791 - b. What is j rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2011 - 10?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26 + -148)*(2\/12 - (-9)\/(-27)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -212*c + 12*c + 400 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 125503182*d**6 - d**5 - 374683185*d**2?\nAnswer: 15060381840*d**3 - 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes after 3:23 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 183419939.79 to the nearest 10000.\nAnswer: 183420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in thirty-seven halves of a century?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 669278844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 5495863 + 9.584\nAnswer: 5495872.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -279, -561, -837, -1107?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t**5 - 26*t**4 + 372*t**3 + 166*t**2 - 9331*t + 8820 = 0. What is t?\nAnswer: -36, -5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6751 + -6717. Solve -30*x = -g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 15289\/1816?\nAnswer: 15289\/1816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4\/3, -1\/3, -5, 16\/15 in increasing order.\nAnswer: -5, -4\/3, -1, -1\/3, 16\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 264*t. Let l be n(1). Let r be 99\/15*(-2 - -7). Calculate the greatest common factor of r and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 5, s: 1, i: 4}. Give prob of picking 1 i and 1 d.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -3, -13, -439?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56*h - 42*h**3 - 17*h - 15*h - 154*h**2 - 24*h - 7.\nAnswer: -42*h**3 - 154*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5 - (-2 - 0))*(-8)\/6. Suppose m*a - 45 = -3*d, 0*d + d - 3*a = 28. Solve 4*p + d = 5*b, 0*b - 1 = -5*p - 2*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 833*v + 158*v = 155*v + 38456 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 39.9 + -41.9. What is the third biggest value in 1, -0.4, t, 65\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 968, 1020, 1072?\n\"Answer: 52*r + 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-3*((sqrt(162) - (2*sqrt(162) - sqrt(162))) + 5)*-3)**2.\nAnswer: 50625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -87 + 259. Let c = 174.86 - h. Let j = -2.86000133 + c. What is j rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1007, -1000, -979, -938, -871?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12652 = -11*l + 3159. Let c = -763 - l. Is c a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8*t - 13*t - 45*t)*(145*t + 32 - 261*t + 114*t) to f + h*t + o*t**2 and give o.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (6478\/10)\/((-119)\/(-595)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -3*a**2 + 3*a + 3. Let r(v) = -3*v**2 + 2*v + 2. Let y(g) = -2*j(g) + 3*r(g). Let h(k) = 19 + 67*k**2 - 19 - 52*k**2. What is y(h(p))?\nAnswer: -675*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 565836?\nAnswer: 2, 3, 61, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -6. Let a(t) = 5*t + 3. Let v(l) = -6*l - 7. Let h(w) = -7*a(w) - 6*v(w). Let x(r) = -7*d(r) - 2*h(r). Let q(p) = 73*p**2. Determine q(x(y)).\nAnswer: 292*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/a**(12\/11)))\/((a*(a\/(a*a*a**(-1\/6))*a*a)\/a*a)\/a*a))**7 assuming a is positive.\nAnswer: a**(-497\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 150*d + 153*d - 311*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 350262 and 318420.\nAnswer: 3502620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -250, -253, -258, -265, -274, -285, -298?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*k + 3*y, 4*k - 2*k + y = 12. Suppose -3*z + 2*n + 160 = 0, 5*n - n - 240 = -k*z. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l = -3*w, -10671*l + 10673*l - 4*w = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the second derivative of -1179*i**8\/8 + i**4\/12 - 2*i**3\/3 - 25*i**2\/2 + 10137*i. Find the third derivative of f(r) wrt r.\nAnswer: -990360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3\/95, 2\/47 in decreasing order.\nAnswer: 4, 2\/47, 3\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2463283 is divided by 43987?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 22624 and 177499.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -9445898, 5, -2 in ascending order.\nAnswer: -9445898, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 1, c: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1953, 1951, 1949, 1947, 1945?\nAnswer: 1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 1 k, and 1 o when three letters picked without replacement from {k: 1, m: 1, f: 2, y: 1, x: 2, o: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 105591*o - 1. Let b(r) = 34*r. What is b(c(k))?\nAnswer: 3590094*k - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 31091 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1288728263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -545 - 12?\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -6*d**3 + d**2 - 3*d - 1. Let t be v(-2). Suppose 152*r - 154*r = -912. Calculate the greatest common factor of t and r.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 + 11*l**2 + 10*l - 7. Let z be d(6). Suppose -2*a + z = 19. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, b: 2, e: 3, x: 2, u: 4, q: 3}. What is prob of picking 2 e and 1 u?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence swws when four letters picked without replacement from rrrrrswrrrrf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/7388856 and 11\/45054.\nAnswer: 7388856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1234*o + 2477*o**2 - 1234*o + 802*o**2 to l + m*o + r*o**2 and give r.\nAnswer: 3279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 55 + -51. Suppose -a - 6*s = -y*s - 3, 20 = 4*s. Let q be 0*(a\/2 + 4). Solve q = 5*i - 1 + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from llgdgddldd?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -10\/2157 and -143\/2568.\nAnswer: 1846392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -6*u - 7. Let k(i) = 6*i + 5. Let j(x) = -5*d(x) - 6*k(x). Let c(n) be the third derivative of n**4\/4 - n**3 - 8*n**2. What is -5*c(w) - 6*j(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -103789\/460734 - 1\/4517. Calculate the common denominator of x and 31\/1360.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -68.06037 rounded to two dps?\nAnswer: -68.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -68*(-2588)\/56 - 15\/(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 16 + 31*z**2 - 18 - z + 23*z**2 in the form c*z**2 + n + q*z and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 20 and 750.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve b**5\/2 + 12973*b**4\/2 + 25941*b**3\/2 - 12973*b**2\/2 - 12971*b = 0.\nAnswer: -12971, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1, -53, -179, -383, -671, -1049?\n\"Answer: -q**3 - 30*q**2 + 43*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 190\/(-5) - 140\/350*5\/(-1 - 0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the third derivative of 17*s**4\/24 + 7*s**3 - 11*s**2 - 1. What is the hundreds digit of v(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (146\/(-584))\/(3\/(-24)*-22)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -807580, -1615161, -2422732, -3230287, -4037820, -4845325, -5652796?\n\"Answer: k**3 - k**2 - 807585*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -6*c + 7. Let a(q) = -3*q + 4. Suppose 2*j - 4 = m - 15, 4*m + 5*j = 31. Suppose m*t = 23 + 22. Calculate t*a(z) - 3*g(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(931) + -2*sqrt(931) + 1 + (sqrt(931) - (3 + 0 + sqrt(931))))**2.\nAnswer: -2805 - 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqvi. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 154\/(-4) + (-15 - 33)\/96?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 24*t**2 + 2*t**3 + 0*t**3 + 2 - 693*t + 233*t + 233*t + 231*t to the form q*t + r + k*t**3 + s*t**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = q + 166, -4 = l + 5*q - 65. Let o = l - 327\/4. Which is the nearest to 0.3? (a) -1 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -3*o + 6. Let n(r) = 4*r - 5. Calculate -4*n(p) - 5*u(p).\nAnswer: -p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 1537539392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 9372 divided by 2268?\nAnswer: 781\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/(5 - 1) + -3. What is the closest to t in 4, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**5)\/y*y\/y**5*y**1\/(y*y\/(y\/(y\/(y*y**(-4)))*y*y)))**(4\/9) assuming y is positive.\nAnswer: y**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6438, 6446, 6464, 6498, 6554, 6638, 6756, 6914?\nAnswer: 7118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -0.0264 times -54.6\nAnswer: 1.44144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cscssscsscssssssssss. What is prob of picking 2 s?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2*o + 10*o**2 + o**2 - 4*o + 2 + o**2. What is n(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -c = -459*k + 465*k + 31, -4*c + 5*k - 37 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 56\/15717843 and 121\/616386?\nAnswer: 31435686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -49477 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {g: 1, r: 1, e: 5, c: 3, d: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/((-9)\/(-6))*(-34668961)\/(-2). Suppose -a + 2 = 0, -4*a - 26531031 = -3*n + f. Round n to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -7649650*y**2 + 3*y - 10103265 wrt y?\nAnswer: -15299300*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does -0.2 = 766\/4793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-384)\/28)\/3)\/((-46)\/(-161))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 26, 1.4 in decreasing order.\nAnswer: 26, 1.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-189*m**4 + 499*m**4 + 320*m**4)*(0*m - 3*m + 4*m) + (1 - 2 + 2)*(3*m**2 + m**5 - 3*m**2) + 0*m**3 + 0*m**3 - 2*m**5 - 1 + 1 + 2*m**5.\nAnswer: 631*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1.2446309712 + -683\nAnswer: -684.2446309712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 6*d**2 - 614*d + 1169. Let v(h) = -69*h**2 + 7062*h - 13449. Let t(s) = 57*g(s) + 5*v(s). Solve t(b) = 0 for b.\nAnswer: 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4040299139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 3*k - 7 = 0. Suppose -3*i = -6, -k - 20 = -5*v - i. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7850, -7732, -7524, -7226?\nAnswer: -6838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 3 - m + 39*m - 21 + 21 + (1 + 2 - 2)*(1 - 2*m - 1) + (4*m + 2*m - 5*m)*(-1 - 3 + 5) as y*m + v and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yrmy when four letters picked without replacement from mmymrnmy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 12) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*b**3 + 2*b - 3*b**3 + 2*b**2 + 12*b**3 to x*b**2 + r*b + m*b**3 + w and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/14 (b) -3 (c) 3 (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22 and 3234.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 5 + ((-3*(-1 + sqrt(847) + -1))**2 - (1*2*sqrt(847) + 0)**2))*-5.\nAnswer: -21375 + 1980*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -2 + (sqrt(5) - (sqrt(5) - sqrt(35)\/sqrt(343))) + sqrt(20)*-3*2)**2 + 0.\nAnswer: -166*sqrt(5)\/7 + 34494\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -4, 1, 7.56?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (30\/24)\/((135\/(-60))\/9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + (13 - 19) + 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 29*v - 8. Determine i(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y**3 + 6*y**2 + 2 - 6*y**2)*(15 + 695 - 40).\nAnswer: -2010*y**3 + 1340","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (3\/1)\/((-81)\/9)*117\/3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from {v: 3, s: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be (14100\/(-125))\/(6\/(-20)). Let i = n - -41. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 23 + -17 + (-8)\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 640\/109, 1956, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, 11, 54, 115, 194, 291, 406?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 80, 123, 162, 197, 228, 255?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of -i**6\/75 + 3*i**5\/50 + 3*i**4\/5 + 4*i**3\/15 - 24*i**2\/5 + 85*i. Suppose a(n) = 0. Calculate n.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -9785 or -9784?\nAnswer: -9784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 86 + -126. Let u = -24 - t. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of -221*w**6\/120 - w**5\/30 - w**4\/3 - 13*w**3\/3 - 3*w**2 - 31. Find the second derivative of r(g) wrt g.\nAnswer: -1326*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -113b + -6b497?\nAnswer: -70616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the second derivative of g**5\/20 + g**4 + 5*g**3\/3 - 7*g**2\/2 + 10*g. Let t be f(-11). Solve -t*m + 8 = -0*m - 4*x, 3*m + 2*x = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 41*t + 25*t + 30*t - 97*t. Let y(o) = 401*o**2. Calculate y(z(s)).\nAnswer: 401*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-35)\/5*(-1 - 14\/49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 7140, 7090, 7052, 7038, 7060?\n\"Answer: 2*n**3 - 6*n**2 - 46*n + 7190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((252\/(-8))\/7 - -4)*-4. Factor 1\/2*s**h - 1\/2*s**4 + 1\/2*s**3 - 1\/2*s + 0.\nAnswer: -s*(s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 191, -1363.\nAnswer: -1363, 2, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 3 + 1 + (-1 + 5 - 2)*(0 + 2 + 0))*(j + 0*j - 3*j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -1 + 3. Let q = j - 1. Let m be (-1)\/3 + (-22)\/(-30). Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 8 from -11000.638.\nAnswer: -11008.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.1, 1\/4466, -1, -0.4, 1\/13, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 222 (base 10) to base 7\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-116)\/(-203)*9\/(-12))\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -29 + 21. Let u(d) = -2*d - 15. Let a be u(s). Suppose 3*v - 37 + a = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 74524229.\nAnswer: 13, 29, 197677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 41400 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(110)*-2 - sqrt(110))\/((sqrt(80) - -2*sqrt(80))\/sqrt(8)) + (-5 + (sqrt(539) - (sqrt(539)*-2 + -3) - sqrt(539)))**2.\nAnswer: -163*sqrt(11)\/3 + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 504957*t**5 - t**2 - 2*t + 406491.\nAnswer: 30297420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the third derivative of 13*x**4\/12 + x**3 - x**2. Let q(u) = u - 22. Let s be q(6). Let a(d) = 5*d + 1. Determine s*a(o) + 3*h(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -21 (base 8) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and -25.52.\nAnswer: 102.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 37011 + -37023. Let d(v) = v**2 - 4*v - 7. Let p be d(5). What is the third biggest value in f, p, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(32)*-1 + sqrt(2) + -2 + 4.\nAnswer: -3*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 - 70*s - 259. Calculate the smallest common multiple of d(-11) and 12.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the second derivative of m**4\/3 - 8*m**3\/3 + 8*m**2 - 30*m. Suppose k(b) = 0. What is b?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 135, 2, -3, 18, -5, -4, -54 in decreasing order.\nAnswer: 135, 18, 2, -3, -4, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 - -19b?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**2\/9 - 2*v\/9 + 368\/3.\nAnswer: -2*(v - 23)*(v + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4, -1236228, -1 in decreasing order.\nAnswer: 2, -1, -4, -1236228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1667 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + -31?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 35*v**4 - 3*v**3 + 7. Let f(j) = 2*j**4 + j**3 - j - 1. Let h(n) = 3*f(n) + x(n). What is the second derivative of h(k) wrt k?\nAnswer: 492*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-13)*q)\/q)\/(q**0*q*q))**(-17)\/(q*(q**(-2\/19)*q)\/q*q*q**(4\/7)*q)**(-10\/7) assuming q is positive.\nAnswer: q**(242015\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12552*h**2 - 2190*h**2 - 620*h**2.\nAnswer: -15362*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -33, -23, 23, 123, 295?\n\"Answer: 3*d**3 - 11*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2.138567827 rounded to 3 decimal places?\nAnswer: 2.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d + 3*d - 3*d)*(-d - 1 + 2 - 3) - d**2 + 2 - 2 + (-4*d + 3*d + 0*d)*(-1 + 2*d + 1).\nAnswer: -d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*m - 2*m + 10, 5*m + 10 = -3*l. Let x be 3 + l + -28 - 2. Find the common denominator of 5\/(-6)*x\/(-12) and -13\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.894 + -0.106. Which is the closest to -0.1? (a) -0.3 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1019\/44 - -153\/11. Calculate the common denominator of -19\/20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 13*l**2. Let k(v) be the third derivative of -v**5\/60 + 3*v**2 - 10. Calculate p(k(d)).\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 30*(1416\/(-59))\/(6\/(-152)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 - 3)*3\/(18\/(-213)). Suppose 3*g = -5*f + 123 + q, 0 = 4*g - f - 315. What is the greatest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes after 6:21 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 - 2374314?\nAnswer: -2374320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 69*z**2. Let q = 110 - 110. Let a(j) = 3*j + q*j - 6*j + 5*j. Give d(a(x)).\nAnswer: 276*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22261650?\nAnswer: 2, 3, 5, 148411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 94428360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = -2*a + 107. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/((-13)\/3 - -4). Suppose -s*l = 2*l + 7500. Round l to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-6*(sqrt(17) + -1*sqrt(17)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1754527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 3*v = 3, 5*g = -0*v - v - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b\/((b**1\/b)\/b))*b)\/b)\/b**6*b**(-3\/7)\/b**(8\/3) assuming b is positive.\nAnswer: b**(-212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6480) + 2*sqrt(6480))\/(sqrt(90)\/(2*sqrt(10))) + 1.\nAnswer: 1 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -321 + 105. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 - 13 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -9.8 and 0.5.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 50*o - 133 - 167. Calculate the highest common divisor of 178 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -305, -1204, -2701, -4796, -7489?\nAnswer: -10780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1274 - 1240. Which is the closest to -1\/3? (a) -0.1 (b) -4 (c) 0.2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 48 and 126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 33*t**5 - 5*t**2 - 4*t - 37. Let w(l) = -33*l**5 + 4*l**2 + 3*l + 36. Let b(v) = -4*n(v) - 5*w(v). What is the second derivative of b(d) wrt d?\nAnswer: 660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 - 404?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 1050, 12, -3, 11 in descending order.\nAnswer: 1050, 12, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**12*(q\/((q**(8\/5)\/q)\/q))\/q*q**(-2\/29)\/(q*q*q*q**11*q*q))**(-2\/43) assuming q is positive.\nAnswer: q**(1064\/6235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 4*l - 64, 690*z - 685*z + 60 = 3*l. Let u = 0.2 + -0.4. Is u <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 997 + -616. What is the tens digit of (-72)\/(-96) - u\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**2 + g - 1. Let o(q) = 16*q**2 + 12*q - 12. Suppose 2*t - 20 = 2*b, 8 = -b - 4*t + 6*t. Give b*r(k) + o(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -14 - 1 - (-13 + -10 - -20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 8, -47.53, -2\/11, -1, -0.1, 3?\nAnswer: -47.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in 1\/6, 1046, -1\/3, 0, -3\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**3 - 19*k**2 + 15*k + 52. Let o be c(18). Let s be (((-172)\/(-5))\/o)\/(44\/(-385)). Do s and 152 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/34 in -5, -1\/4, 19, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -254942480.000103 + 254942285. Let y = -242 + 47. Let x = y - h. Round x to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2878\/(-4317))\/(((-5)\/15)\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-12)\/(-10))\/((-4)\/55) and -26*1*100\/720.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes after 1:39 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -796475 less than or equal to 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 199431\/16 - 12461. Let b = -1\/18257 + -1807397\/839822. Find the common denominator of r and b.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1 - -4) + 35\/(-14))*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = 4*y - 3, 2*o + 0*o = 4*y - 18. Let u(k) = -3*k - 6 - 7*k - y*k + k**2 + 20*k. Let q be u(-6). Which is smaller: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**2 - 14*q + 30. Determine u(14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fgfgggg. Give prob of sequence ffgg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 2f1 (base 16) to base 6\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2241148g to tonnes.\nAnswer: 0.0000002241148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.6 + 3.68. Let u = -47.39 - -47. Let c = u - f. Round c to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -2*u**3 - 3*u**2 - u - 2. Let p be 4*1\/1 + -121. Let x = p + 115. Calculate t(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 591, 591, 589, 585, 579?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 - 1 + 2)*(3*j**4 - 9*j**4 - 2*j**4) + j**3 - j**3 - 4*j**4)*(0 + 4 - 2)*(70 - 70 + 15*j).\nAnswer: -360*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -4312940*s + 60. Let b be n(-1). What is b rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 11110011110 (base 2) to base 11\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 11) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:16 PM and 7:06 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 3 + -35 + 28?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.8 - 0.3. Let w = -7\/17 - 3\/34. What is the fourth biggest value in w, 4, 0.2, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 208399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 92374270 + 11752.28\nAnswer: 92386022.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3211 + 28849\/9. Let h = v + 268\/45. Which is the fourth biggest value? (a) h (b) -1.9 (c) 2\/11 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3396, 6798, 10212, 13638, 17076, 20526?\nAnswer: 23988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 8, -5*x + 2*f - 4*f + 23 = 0. Suppose 0 = m + x, -2*l = l + 2*m. Differentiate 3 - l*w - 3 + 6 - 3 with respect to w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 2*m**2. Suppose 4*y = 2*y - 4. Let p(l) = 5*l + 2. Let b(z) = 6*z + 3. Let c(v) = y*b(v) + 3*p(v). Determine c(f(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -275*t**3 - 2*t + 0*t - 202*t**3.\nAnswer: -477*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 2\/3 (c) 17211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -123013834*f**3 + 749*f**2 + 2*f + 6849 wrt f?\nAnswer: -738083004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 264*z**2 + 4 - 623*z**2 + 297*z**2 - 2.\nAnswer: -62*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is db4 - -19d?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3708 is divided by 232?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -828182388723 - 5?\nAnswer: -828182388728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 12:15 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 2*g - 288, 0 = g - 4*c - 197 + 53. Let u be (0 + -6)\/(2\/(-6)). Calculate the highest common factor of u and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7\/((-42)\/9)*4\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (33\/(-88))\/(3\/2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:50 PM and 5:50 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -2.07001?\nAnswer: -1.035005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32 + (49 - 60) + -10 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -2*z**3 + z**2 + 3*z + 1. Let i be j(-2). Let w = 22 + -17. Suppose f = 8*f - w*f. Solve -3*o + f*o = -i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 + 8*b**2 - 40*b - 35. Calculate u(-11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -2*i**3 + 2*i**2 + i. Let z be l(-1). Suppose z*a + 0 - 9 = 0. Suppose 9000000 = a*y - 0*y. Round y to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 50432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*b - 37*b + 292*b + 42042 = -255*b for b.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1422 and 180?\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*j**2 + 30 + 4*j**3 - 3*j**3 - 9*j**2 - 19 + 4*j to the form o*j**3 + l*j**2 + b*j + u and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:15 PM and 4:10 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 148035\/151 != 980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00031029 rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*m + 174 - 324 = 0. Solve r - 6 = k + 3*k, m*r + 18 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 3\/2, -6, -2, 18, -2\/9 in decreasing order.\nAnswer: 18, 5, 3\/2, -2\/9, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (30 - 105 - 69)*(11*t**2 - 2*t + 3*t**2 - 10*t**2).\nAnswer: -576*t**2 + 288*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -440 - -479. Suppose -4*t - 8 = -2*q + 10, 5*q = -4*t + 59. Let k = w + q. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 228.7 - 229. What is the nearest to 0.2 in i, -5, -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/(-2)*12\/9. Let f = -17.4 + 17. Which is the second biggest value? (a) i (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 77*h - 2406 + 1041 = 122 + 2440 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14100 and 950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -266 + 2*t + 266. Let z(l) be the second derivative of -13*l**3\/6 + 22*l. Give z(q(w)).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-86)\/(-6)*(-7 - -2 - -2). Let h = g - -49. Solve p = h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the first derivative of -53*g**5\/120 - 5*g**4\/6 - 8*g**3 - 22. Let f(p) be the third derivative of j(p). List the prime factors of f(-5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -21*u**2 - 88*u - 14. Let p be n(-4). Is 26\/19 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 191359059 to the power of 1\/3, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -808 times -7?\nAnswer: 5656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 39195 or 39196?\nAnswer: 39195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 181, 1\/2, -4, -1\/7?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 46858.2 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -0.6, 25, 0.03, -0.4, 6414 in decreasing order.\nAnswer: 6414, 25, 0.03, -0.4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - 12. Let a = -52 + s. Let u = a + 120. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 3 - 6)*(-2 - 6*r + 2) as m*r + p and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1778623 and 693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is s in -16*s**3 + 45924*s**2 - 30437336*s + 7606464 = 0?\nAnswer: 1\/4, 1038, 1832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5\/(-3) + 5\/5. Let c = 0.07 - 3.07. What is the second biggest value in c, t, -4\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 93 - 90. Find s such that -4\/3*s**4 + 4\/3 - 2\/3*s - 4*s**2 + 14\/3*s**r = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1869878 and 16?\nAnswer: 14959024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -8*h - 25. Suppose 3*l + 29 = -19. List the prime factors of b(l).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -21619\/16 or -1352?\nAnswer: -21619\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the third derivative of d**4\/24 - 8*d**2. Let l(i) be the second derivative of 5*i**4\/12 + 2*i. Determine l(a(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -3*h**3 + 11*h**2 - 4*h - 1. Let m be o(3). What is the greatest common factor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25193032.\nAnswer: 2, 3149129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s**5 - 52*s**4 - 232*s**3 - 360*s**2 + 108*s + 540 = 0. What is s?\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 117\/92 not equal to -54933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bnbc when four letters picked without replacement from bpbnc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(448)*2*3 + -2 + 1*sqrt(448))**2.\nAnswer: -224*sqrt(7) + 21956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j + 5*g - 44, 4*j - 14*g + 13*g = 0. Solve 0 = j*i - 3*w + 5, -2*i + 21*w = 25*w - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f*f\/(f*f\/(((f*f**(-1\/7)*f)\/f*f)\/f))*(f\/(f*f**(-9)))\/f*((f**(-1\/7)\/f)\/f)**1 assuming f is positive.\nAnswer: f**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 13*g**2. Let m(c) = -c + 124. Determine m(u(h)).\nAnswer: -13*h**2 + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + -11414113?\nAnswer: -11414112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.016 - 2.236. Let d = h - -0.22. Let y = -3 - d. Which is the nearest to 1\/3? (a) y (b) 3\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 36 + 7. Suppose -5*u + 2*z - 2 = f, 5*u - 4*z = -45. Let v = u - -29. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/((-3)\/24*8\/(-10)). Calculate the greatest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 9)\/(-11 + (-50)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.13 * 0.066136.\nAnswer: 0.07473368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -2*t**2 - 235*t - 1129. Calculate m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6414 is divided by 117.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 165 = -7*c + 2*c. Let t(n) = -2*n**2 - 39*n - 86. Let a be t(-18). Is c bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u - 11*u = -185. Let g = u + -130. Let p = 151 + g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -9\/20, -0.08, -1\/3 in increasing order.\nAnswer: -3, -9\/20, -1\/3, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes before 1:00 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/z**(1\/3)*(z*(z\/(z**(-6\/5)\/z))\/z)\/z)**11*((z\/z**(-7))\/z**(-12))**(1\/8) assuming z is positive.\nAnswer: z**(1021\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 181 - 179. Let k be o*49\/(-14) - 2263. What is k rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 6*v + 2 = 0. Let r(i) = -8*i - 40 + 8*i + 39 - 4*i**v. Let d(m) = 5*m**2 + 1. What is -2*d(t) - 3*r(t)?\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -177\/13 - -214\/13. Let z = 34955\/9 - 3876. What is the common denominator of z and y?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-120)\/18)\/(2\/(-3)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*h + 5*h + 12. Suppose h*z - 2*z = 24. What is the remainder when 22 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 200*y**2 - 18*y + 3. Is w(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/6394 and 83\/35926?\nAnswer: 4993714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/50420688 and 71\/16?\nAnswer: 50420688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 16\/(-4) - -3 - 2. Let p = 4 + m. Solve -p = 3*c + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 5*g**4 + 333850*g**3 - 15*g**2 - 1001540*g + 667700 = 0.\nAnswer: -66770, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Do 71 and 71 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 183*b - 3669. Determine j(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 100478924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 127153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -96452 * -0.1\nAnswer: 9645.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(209)*-1)\/sqrt(11) + 4 - (-3 + (sqrt(19) - (-2 + sqrt(19)*1 + sqrt(19)))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 250\/(-2125) - 4\/(-34). Let x(t) = t**2 - t - 4. Suppose 4*i - 4*p = -7*p - 3, p + 9 = -4*i. Let l be x(i). Solve 9*s - l*s + 2 = f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes after 6:08 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*m**2 + 2*m**2 - 2 + 7*m**2 - 11*m**2 + 13*m**2 to the form b*m + o + z*m**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 77609582.\nAnswer: 2, 43, 902437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11697921 is divided by 1533.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -108*j**2 + 26*j - 2. Let r(b) = -433*b**2 + 106*b - 9. Calculate 9*c(u) - 2*r(u).\nAnswer: -106*u**2 + 22*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 103 (base 8) to base 4\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = n + 12. Let r(u) = 5*u + 1. Let i be r(-2). Let q be t(i). Let z(s) be the first derivative of -s**2\/2 - 3*s + 2. Determine z(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -27*k**4 + 72*k**4 + 11539*k**3 - 11538*k**3 - 156*k**2 - 87*k**2 + k wrt k.\nAnswer: 1080*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - 31. Suppose -2 - 3 = -5*n. Let w be (n\/(1\/(-1)))\/(9\/j). Solve -w*a = -a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-54)\/5*(20 - 5). Let f = 279 + j. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-8) + -1 + (-6765)\/(-246).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 6:43 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -55*k - 30. Let g be r(3). Let m be (-78)\/g - (-94)\/20*-2. Let u(x) = x + 12. Determine u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3875 or -794552\/205?\nAnswer: -3875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 201193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 AM and 12:51 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 + -4. Let c be (-3 + j)*(-8)\/(-2). Let q be ((-5)\/c)\/((-3)\/12). What is the nearest to -0.1 in 0.3, -2, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-140 + 39 - -31) + 47?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 9747, 9878, 10045, 10248, 10487, 10762, 11073?\n\"Answer: 18*h**2 + 77*h + 9652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 183 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -150\/23 (b) -2 (c) -4 (d) 0 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5688 is divided by 1837.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -309, 4, 2 in ascending order.\nAnswer: -309, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*r**3 - 2*r**4 - 318850 + 4*r**2 + 318856 - 4*r**2 + 9*r**3 - r to l*r**2 + s*r + i*r**3 + m + p*r**4 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1006875, 4027499, 9061873, 16109997?\nAnswer: 25171871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -43425381, -43425378, -43425375, -43425372, -43425369?\n\"Answer: 3*j - 43425384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**3 + 44*v**2 - 18*v + 784. What is q(44)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16600 is divided by 405.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3792 and 1422.\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y + 4, -c - 9 = -2*y - y. Let n be (-6)\/c + 1\/(-1). What is the biggest value in n, -4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 65 - 61. Suppose j*h = 389 + 287. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*p - 171*p + 760 = 95*p. Let r(t) = 73*t**2 + 4*t - 4. Let k(m) = 585*m**2 + 33*m - 33. Calculate p*k(c) - 33*r(c).\nAnswer: -69*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be 24\/28*7*2. Suppose 3*t + 5 = 2*z, 0 = -3*t - t + 4*z - m. Which is the closest to 0? (a) 1\/5 (b) 2\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/10*(48\/9)\/8.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35 + 110. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = -2*i - 4. Suppose i*y - 2 = 22. Find the third derivative of j**2 - y*j**2 + 8*j**2 + 2*j**4 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the second derivative of n**6\/30 + n**4\/12 - n**2\/2 + 3*n. Let u(h) = 9*h**4 - 3. Let q(l) = u(l) - 6*y(l). Factor q(k).\nAnswer: 3*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -3459 and -111.\nAnswer: -3570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -114 + -12. Let r = j - -249. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the second derivative of 1\/6*t**3 + 97*t + 0 + 0*t**2. Let v(m) = 219*m**2. Calculate f(v(g)).\nAnswer: 219*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -359434713 or -359434712?\nAnswer: -359434712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b + 2*b + 59 - 57 - 2*b**2. Let m(r) = r**2 - 1. Let a(g) = m(g) + z(g). Calculate the least common multiple of a(3) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u**5 + 1024*u**4 - 106480*u**3 - 6336256*u**2 - 63637536*u - 178062336 = 0. Calculate u.\nAnswer: -32, -6, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 279 and 2821?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 28 - (-10)\/3*(-132)\/(-110). What is the highest common factor of 12 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7680 and 41568.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 19372131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 17 - 15. Let k = 3\/10 - 4\/5. Let d = 0.06 + 0.24. Which is the closest to -1? (a) d (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tgntotnojnpop. What is prob of picking 1 g and 1 o?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10984?\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11512855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 12 in 2, -2\/5, -0.2, -1\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -288 + 288 = -20*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 2*j + 5*y, -y = -j - 0 - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1599*a = -656*a - 27060 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/((-338)\/585)*(-10)\/45*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 8 - ((4 - 1) + -5). Suppose -3*j - x = 5*g, 4*j + 4 = -g - g. Suppose -2*w - 4*k = -j - 2, -2*w + 4*k = -10. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 - (3 + (-53 + 58 - (1 - 0)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 35509 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 120 + -111. Let k be ((-15)\/q - 3)*3. Is -14 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 - m**2 + 2*m + 941. List the prime factors of i(0).\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 10 + 546cf7?\nAnswer: 546d07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -11 (b) 1.2 (c) 1117 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(-3\/10)\/t)\/(t\/(t\/t**(-3)))*t\/(t\/(t*t\/t**0*t))*t**7\/t)\/((t**(-2\/7))**(4\/13))**7 assuming t is positive.\nAnswer: t**(1601\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5838.2 - 2561.\nAnswer: -8399.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/4 and 109\/23502.\nAnswer: 47004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**3 - 22*s**2 + 18*s + 162. Give a(-20).\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 61\/(-9) + -2 + 1 and 53\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:39 PM and 4:49 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 19 (base 14) to base 11\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9741, -9907, -10127, -10401, -10729, -11111?\nAnswer: -11547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes after 10:48 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 + 15*r - 46. What is y(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 5 + 4)*(3 - 3 - d**2) + 2 - d**2 - 1 + 3.\nAnswer: 2*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b - 2*b. Suppose -2*a + 5*a - 24 = b. Let z = 9 - 5. Calculate the lowest common multiple of a and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (17*q + 17*q + 20*q)*(-2 + 2 - 1)*(4*q - q - q)*(-12*q**2 - 89 + 64*q**2 + q + 87) to the form d*q + c*q**4 + w + z*q**3 + o*q**2 and give o.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-20638)\/(-38241) + (-3)\/7. What is the closest to -6\/7 in f, 0.036, -5?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -3*v**4 + 9860*v**3 + 382337*v**2 + 126350*v = 0.\nAnswer: -38, -1\/3, 0, 3325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1.815149l in millilitres?\nAnswer: 1815.149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (11*g**2 + 25 - 25)*((2 + 0 + 6)*(4 - 3 - 2) - 1 + 2 + 1) as x + n*g**2 + u*g and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*h - h. Let q be (h\/4)\/(2\/6). Let f = -13\/11 - -87\/55. What is the closest to f in 0.5, 3, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 369701976 is divided by 2063?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 - -5. Suppose -m*n + 8*r = 3*r - 868, n - 296 = 5*r. What is the common denominator of 7059\/n - (-2)\/(-11) and -51\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that -1211392*z**5 + 187524480*z**4 - 694254684*z**3 - 150024788*z**2 + 16821576*z - 391392 = 0.\nAnswer: -2\/7, 9\/208, 4, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 = -4*h - k + 5, 4*k = 16. Let x be (0 + -3)\/(9\/h). Is -2 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*s + 31*s - 405. What is the remainder when 37 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9042352?\nAnswer: 2, 11, 83, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in 4, 370, 3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 198.92 + -198.5. Is 4 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.5 + -0.11. Let p = j + -13.89. Let m = p + 14.5000083. What is m rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q**3 + 110*q**2 + 725*q + 1320 = 0. Calculate q.\nAnswer: -11, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -5*l + 21. Let f be t(4). Let w(n) = -n - 2*n + 0 + 2 - f - n**2. What is w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 99 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3240\/50 + (-20)\/25. Suppose 0 = -5*a + a. Suppose 3*w - m = -x - a*w, x - 2*w = 59. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/34, 2, 6\/5, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.06 + 8.94. Let w = h - 11. Let z = -4 - w. Which is the third smallest value? (a) z (b) 0.2 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.06, -463, -3\/10, -2.\nAnswer: -463, -2, -3\/10, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4.7 - 1.7. Let j = 3.0013 - x. Round j to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 31840 and 100.\nAnswer: 159200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 7 + 1515615?\nAnswer: 1515624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 38 - 152 = 0. Let s = -1 - q. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -123 + 137.4. Let k = -15.19 + j. What is k rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 226 - 59. What are the prime factors of d?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 36 (base 10) to base 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1335*c**3 - 6*c**2 + c + 6*c**2.\nAnswer: 1335*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7.6 in -2\/63, -4, 5, -35, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0\/(-2) - 0) + (23 - 21). Find the third derivative of -b**6 + 62 - b**6 - 31 + 136*b**y - 31 wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 4*g - 2*x, 3*g + 2*x = -0*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes after 4:50 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kx when two letters picked without replacement from {k: 3, x: 1, y: 4, v: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*s + 15 - 3 - 4*s**2 + 3*s with respect to s.\nAnswer: -8*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*a*f*i**2 - 3*a*f*i - 3*a*i**2 - 2*a*i - 10*f*i**2 + 20*f*i - 42217*f + 2083*i**2 wrt i?\nAnswer: 8*a*f - 6*a - 20*f + 4166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -438730*m**2 + 2*m + 1615401?\nAnswer: -877460*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98*a**3 - 4610942*a**2 - 2634848*a - 376408 = 0. Calculate a.\nAnswer: -2\/7, 47051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(76)*6.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49902879 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -20, -117, -274, -485, -744, -1045, -1382?\n\"Answer: h**3 - 36*h**2 + 4*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 - -12. Suppose -d*l = -2*g + 2, 3*l - 5*g + g - 6 = 0. Let f = 132\/469 + 2\/469. Which is the nearest to l? (a) f (b) -2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 42.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-27)\/(-15))\/((-6)\/(-10)). Solve 20 = l + 4*o, -3*o + 25 = -n*l + 2*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from musmvqee. Give prob of picking 1 q and 2 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -1210 = -130*u + 20*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -5 + 4\/(-10*10\/(-36525))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 5752\/11 (b) -86 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 95 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wzwwwzwzzzwwwwwwzw. What is prob of sequence zzwz?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -18*a**3 + 6*a**2 - 60*a + 57. Determine m(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 5*s**2 - 66*s + 17. What is g(-2)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 988267397.\nAnswer: 13, 76020569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) + 1 - sqrt(1300))**2 - sqrt(1300))*1 - (-4 + (sqrt(1573) - (sqrt(1573) + -1*sqrt(1573) + sqrt(1573))**2)).\nAnswer: -11*sqrt(13) + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 4*v - 120, 0*k - 2*v = -k + 24. What is the highest common factor of k and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, 7, -0.3, -1\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes before 2:50 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 29*a - 10. Let v(p) = 14*p - 5. Determine 6*u(y) - 13*v(y).\nAnswer: -8*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (2*d - 11*d**3 - 10*d**3 + 31*d**3)*(-2*d + d - 5*d) as l*d + c*d**3 + r*d**4 + u + q*d**2 and give r.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 56 (base 8) in base 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 66*j - 463. Calculate i(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*u - 20 = -69*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - 1242?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 96381 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 3, v: 1}. Give prob of picking 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2194 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(24) + 6*sqrt(96))\/(sqrt(108)*-5).\nAnswer: -13*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -16 + 10. Let g = -3 - a. Let d = 1 - 0. What is the third smallest value in 1\/3, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 13*q**2 + 9*q + 7. Let u(j) = -j**3 + 7*j**2 - 2*j + 11. Let y be u(7). Does 10 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 71.3 - 72.2. Let w = 83 + -83. Which is the nearest to -1? (a) m (b) 3 (c) w (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22688*x - 22432*x - 25344 = 0 for x.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the first derivative of 11*d**6\/6 + 7*d**2\/2 + 13. Find the second derivative of n(y) wrt y.\nAnswer: 220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 93686.97ng in milligrams?\nAnswer: 0.09368697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -2*b**2 + 11*b. Let o be i(5). Suppose 28 = -3*q + o*u + 6, -5*q - 20 = -5*u. Determine h, given that -3*h**2 - q + 71*h - 36*h - 38*h - h**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -533\/35 - -80\/7. Let n(g) = -g**2 - 2*g + 5. Let h be n(-4). Is b at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1605745664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5 + 11369*p**2 + 1122*p**6 + 4 - 12180*p**2 wrt p.\nAnswer: 134640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 31 - 30.999896. What is r rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*i + i + i)*(0*i - 3*i + 2*i) - 3*i**2 + 6*i - 6*i - 95 + 95 + 54*i**2.\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-50)\/(-126) - 18\/63. Which is smaller: 0.4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -95\/331128 or 1?\nAnswer: -95\/331128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -122, -246, -378, -524, -690?\n\"Answer: -z**3 + 2*z**2 - 123*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 114 + -72. Let x be (-22)\/r + (-36)\/(-84). Suppose 0*g = -3*g. Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*h**6 - 31*h**4 - 1231*h**2 wrt h.\nAnswer: -480*h**3 - 744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 18806 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2200201 - -2?\nAnswer: -2200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 475633 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (13 - (2 - 0)) + (-20 - -15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 384262 (base 9) to base 8.\nAnswer: 706501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 9 (b) -2 (c) 0.3 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4003083?\nAnswer: 3, 7, 63541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -19\/55 - -6\/11. Let m = -297101\/19 + 15637. What is the second smallest value in -0.06, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 383, -1, 5, -3.\nAnswer: -7, -3, -1, 5, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*g**3 - 2*g**3 - 74*g - 16*g + 2*g**3.\nAnswer: 2*g**3 - 90*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 2*v = 30, 0 = -3*n - 0*n + 3*v + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - -9. Suppose 7*k - j*k = 24. Suppose k = -2*u, 0 = l + 2*u + 2 + 6. Is l > -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**2 - 8*d**2 + 3*d**3 - d**3 + 2*d.\nAnswer: 2*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the first derivative of x**3\/3 + 5*x**2\/2 - 8*x - 1. Let w be h(-7). Let d(t) = -6 + w - t. Let f(r) = -r. Give d(f(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -9\/20 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 + 45*s**2 + 1407*s + 63132. Calculate k(-45).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 73412993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + r + 48 = -r, -2*d - r + 45 = 0. Suppose 3*t - 3*v = -3, 5*v = t - 2*t + d. Solve n - t = -h, n + 12 = -h + 3*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -46, -1.\nAnswer: -46, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 8392 by -11.\nAnswer: -8392\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + o - 64 = -2*n, -2*n - 5*o - 54 = 0. Let s = n - -37. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sososssssoss. Give prob of sequence os.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 54347 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -2*x**3 + 20*x**2 + 2. Let v(b) = -211*b - 1042. Let g be v(-5). Let s(t) = -t**3 + 10*t**2 + 1. Give g*s(y) - 6*o(y).\nAnswer: -y**3 + 10*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**2)**(7\/2)\/(i*i**(2\/7)*i*i*i**(-1\/8)\/i) assuming i is positive.\nAnswer: i**(271\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -60 + 4*l + 8*l + 8*l - 19*l + 4*l. Calculate the remainder when y(17) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 125, -30, -2, 611 in descending order.\nAnswer: 611, 125, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.066009 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jd when two letters picked without replacement from djfdjjddjddjffj?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 2*v + 49. Let c be (-12)\/(-10)*(-3 - 12\/1). Calculate the remainder when k(c) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the second derivative of -s**4\/12 - s. Let i be (-2)\/(-2)*(7 + -6). What is c(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 17289 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 964 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be 217\/77 + 4\/22. Let j = 1 + 1. Suppose -l*w - j*w + 485 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.9566392cm?\nAnswer: 0.000009566392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -4. Suppose -2 = z + 2. Let c(y) = -3. Let i(g) = z*n(g) + 5*c(g). Let j(q) = q - 2. What is -2*i(d) + j(d)?\nAnswer: d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 643755 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -21*z**2 + z - 1. What is b(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40733, -81449, -122165?\nAnswer: -162881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*f - 3520493 + 3520493.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 1011010000010 (base 2) to base 7.\nAnswer: 22541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2580 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -30 divided by -306\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (57 - 3*d**2 - 368 + 57 + 254 + 1456*d)*(-2*d - d + 5*d) to t*d**2 + y*d + x + c*d**3 and give t.\nAnswer: 2912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (4 - (-4 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 81 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*f**2 + 1 - 1)*(-2 - 3 + 6) + (-f + 4*f - 2*f)*(7*f - f - 4*f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 4113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22767 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3535775404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -4177*l**2. Let y(s) = -3*s**2. Determine z(y(j)).\nAnswer: -37593*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9.6 - 4.8. What is a rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -55108? (a) -69 (b) -5 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -27*t**5 - 48*t**3 + 2*t**2 + 304*t.\nAnswer: -1620*t**2 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 10511938093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 934649938 to the power of 1\/2, to the nearest integer?\nAnswer: 30572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 758 less than 115670127?\nAnswer: 115669369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 2 = -23. Suppose 0 = -5*n - a. Let y = n - -2. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (108\/(-48))\/((-2)\/32) and 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 10 + 2 = 0, 0 = -3*p + 2*s + 404. Let f = 267\/2 - p. What is the common denominator of -1 + 205\/18 - (-130)\/(-26) and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 573048829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 330*v = 175*v - 9809 - 3056 for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and 46.91.\nAnswer: 4.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/84 and 7\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 1 + 25 = 0. Let t be (-12)\/10*(-2)\/(8\/110). Calculate the greatest common factor of t and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 2*v + 35 = -2*v, -2*x - 2*v - 16 = 0. Let n(q) = q - 7. Let f be n(8). What is the common denominator of x - ((-49)\/84)\/(f\/40) and 23\/114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tljlit. Give prob of sequence it.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 97205 - 1145\nAnswer: 96060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 5*q + 8 = 0. What is the units digit of 294 - 0\/((4 + -3)*q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14 - 25 - 22*h + 11 to the form x + z*h and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*3\/6 + 1. Let g be (-635)\/(-25) - (-6)\/(-15). Let f = g - 21. Solve h = -t - f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 + 6 - (9 + -8). Suppose -4*n = x - 20. Solve -7*p + n*p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z - 3 - 4. What is the remainder when 9 - ((-6)\/1)\/(42\/28) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*k - k**3 + 2*k**2 + 0*k**3 + 0*k**2 + 4*k to the form v*k + p*k**2 + r + q*k**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20 + 21. Suppose -4*v + 0*v + q = z, 0 = -3*z - 3*v + 12. Suppose -y - z*s + 15 = 3*y, -2*s = 2. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1955 divided by 1955\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 2*t**3 + t**2 - 2*t + 3. Calculate p(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**2 + 7*z - 2. Let g be 14\/6 + 12\/18. Let s be r(g). Calculate the highest common factor of 20 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -179 - -181. Let j(p) = -i*p - p - 5 - 2 + 4*p. Determine j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 94043, 89139, 84237, 79337, 74439, 69543, 64649?\n\"Answer: q**2 - 4907*q + 98949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 76847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {m: 4, h: 2, l: 3, n: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*k + 0*k + 2*k + (-3 + 0 - 5)*(-4*k + k + k) to g + j*k and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be (7 - 5) + -2 + 35. What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than -434847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 649.82096 - 662.117. Let j = 11.69 + 0.61. Let a = j + v. What is a rounded to 4 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41 + 31*d + 79 + 14*d - 38.\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (1*7)\/(244755\/(-2331))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 386, 404, 434, 482, 554?\n\"Answer: a**3 + 11*a + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 40, 37, 46, 67, 100, 145?\n\"Answer: 6*j**2 - 21*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 5841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*t - 2 + 6*t**2 - 6*t**2 + 2*t**4 to o*t**4 + l*t + s + f*t**2 + y*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*a**6*z + 37*a**4*h - a**4 + 2*a**2*h - 16*a*h - h*z + 3 wrt a.\nAnswer: -240*a**3*z + 888*a*h - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(63) - (sqrt(252) - (sqrt(252) + sqrt(252)*2))**2.\nAnswer: -1008 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 272342969 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 - 24*c**2 + 30*c + 115. Calculate v(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 31 * -0.49.\nAnswer: -15.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 453603 is divided by 232.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 527 is divided by 109?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 4)*(26 - 26 + 4*c)*((4 - 2 - 1)*(4 + 2 - 4) + 2 + 5 - 5).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38821 = -4*t - 18*u + 13*u, 5*u = 5. What are the prime factors of t?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -t + 2*d - 9 = 0, -69*d + 64*d + 94 = -9*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f**2 + 0*f**2 - 3*f**2)*(-2 + 0*f - 2*f + 1) + 2*f**3 + 2*f - 2*f.\nAnswer: 10*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**2 - 8*r. Let d = -21 - -29. Let o be k(d). Solve 5*n + 2*l + 3*l + 5 = 0, o = 2*l + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 61150.6646 rounded to the nearest one thousand?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 28 + -21. Suppose -l + t*l = 162. What is the least common multiple of l and 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-240)\/70)\/4*7. Let y(k) = -k**3 - 5*k**2 + 8*k - 1. Calculate y(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 20 or 0.05?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**3 - 6*i**2 + 6*i - 9. Let y be d(-7). Are -3 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -27.33 - -181.23. Let r = z + -154. What is the closest to 2 in -0.2, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -791? (a) -2\/11 (b) -2\/3 (c) 4 (d) 5\/19 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ufffdhjfhuufhfuhfj?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 357665 rounded to the nearest one thousand?\nAnswer: 358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -236 = 13*g - 262 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*n - 3*n + 0*n + (-1 + 5 - 2)*(-2*n + n + 3*n))*((-2*n**2 + 3*n**2 - 3*n**2)*(-n**2 + 2*n**2 - 3*n**2) - 131*n**4 - 74*n**4 - 55*n**4).\nAnswer: -1536*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 295187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the first derivative of j**4\/5 - 2*j**2\/5 + 5. Factor x(p).\nAnswer: 4*p*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1010103020 + 12221?\nAnswer: 1010121301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 96 != 10022\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60*p = 21046 + 7574. Is p a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10, 43, 4, 7 in descending order.\nAnswer: 43, 7, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3*15\/(-102)*(-12)\/(-45)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from qqqeeq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most as big as 183\/51856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1210423168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 102998 is divided by 11436?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/3002625 and -37\/348075.\nAnswer: 273238875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 401079 and 45192?\nAnswer: 3208632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -11.35 - -4?\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 36*l - 16 = 35*l, -3*r + 2*l = -38 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {o: 7, q: 3, g: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 + 2531)*6\/((-684)\/(-15)). Let o = i - 276525\/836. Let b = 248 - 1971\/8. Find the common denominator of b and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vkwuavl. What is prob of sequence aw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - (-4 + 0))*2\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -45 - 66 = -4*d + 3*x - 73 - 271, 0 = -x - 1 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*f**2 - 37 + 86 - 49 + 16*f**2.\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 285\/(-190)*(-3 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((3*sqrt(1100)*3 - sqrt(1100)) + 3*sqrt(77)\/(sqrt(35)\/sqrt(5)) + -5)**2.\nAnswer: -830*sqrt(11) + 75805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**3 + v - 1. Let m(b) = -7*b**3 + 4*b**2 + 8*b - 4. Let i(x) = -m(x) + 6*o(x). Let t(j) = -3 + 5 + 2 - j**2. Let u be t(0). Determine i(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 75 and 1752200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12917\/4 + 3205. Suppose 5*r + 99 = 274. Find the common denominator of t and ((-9)\/(-2))\/(r\/(-84)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d - 12 = -57. Let a be 0 + (-15)\/25 + (-53)\/d. Suppose -3*w - x + a = -67, 31 = w - x. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(85)\/(sqrt(5)*2) + (sqrt(17) - -1*sqrt(17)) + -5)*1 - (1 + (2*sqrt(119)*-1)\/sqrt(7))*1.\nAnswer: -1 + 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 169415135 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*10\/25*-5. Suppose o*f = 10*f - 4624. What is the remainder when f is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1331, -5326, -11987, -21314?\nAnswer: -33307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 5*p - 2*z - 32020, 10 = 2*z. List the prime factors of p.\nAnswer: 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 1. Let x(s) = 3. Let z(d) = 17*n(d) - 6*x(d). Let g(c) be the second derivative of c**3\/6 - 5*c**2\/2 + 23*c. What is -g(h) + 6*z(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -0.05591, -5\/9, -38 in increasing order.\nAnswer: -38, -5\/9, -0.05591, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:44 PM and 3:22 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*o**3 + 0*o**3 + 2*o**3 + (5 - 1 - 3)*(-2*o**2 + 2*o**2 - 4*o**3) to t + x*o + i*o**2 + b*o**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 - -6. Let a be (-2)\/j*0\/(-6). Solve 2*t - 20 = -2*i, a = 2*t + 3*i - 8 - 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 2*j = -3*u + 9, 3 = u + 5*j. Let i = 2 - u. Is i smaller than -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1798\/(-31))\/928)\/((-1)\/36)*(-36)\/(-1).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 5*x - 19. Suppose -5*k - 3*m + 11 = x, 2*m - 4 = -3*k. Let l(f) = -2*f + 0 - k - f. Give l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the second derivative of -m**5\/20 + m**4\/2 - m**3\/6 - m**2 + 3*m. What is the units digit of z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -4 - 3*o + 0*o**2 - 1 + 8*o**2 + 2. What are the prime factors of z(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aaaaaeadaaeaaed. Give prob of sequence de.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1170 and (4348\/120 - 3\/(-18))*(-140)\/(-8)?\nAnswer: 57330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f - 22 = -3*q, -5*q + 26 = 2*f - 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*n + 33*n - 8*n = -18*n + 3125 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**2 + 6488*v + 2630884.\nAnswer: 4*(v + 811)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 - 3*o + 6. Suppose 2*u = -3*u + f - 27, -u + 2*f = 0. Let g(p) = -p**2 + 3*p - 7. Determine u*g(h) - 7*n(h).\nAnswer: -h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -159*i + 49. Let g(m) = 161*m - 50. Let c(f) = 4*g(f) + 5*p(f). Is c(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*b - b - b)*(2 - 12 + 82).\nAnswer: 72*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*k + 63 + 17 = 0. Let z(w) = -w**3 + 4*w**2 + 5*w + 7. Let g be z(5). List the prime factors of g + k + (-25)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 22*o**2 - 40*o - 34. Let j(a) = -62*a**2 + 120*a + 102. Calculate 17*b(k) + 6*j(k).\nAnswer: 2*k**2 + 40*k + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**3 - 6*i**2 - 7*i + 2. Let k be r(7). Suppose y - k = 3. Suppose -28 = -y*a + 57. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -2*m + 9. Let i = -8 - -12. What is the smallest common multiple of 11 and y(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 31.3 - -127.7. Let q = c + -188. Which is greater: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2 + ((-3)\/(-3) - 0). Let m(o) = f + 0 + 3*o**2 - 2*o**2 - 6*o. Let a be m(6). Solve p - a = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -98721c - -19?\nAnswer: -987203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20, -22, -84, -160, -244, -330?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.66768074 to two decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23\/1150*-30*2\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -4*k - 11. Let i be a(-8). Let v = i - 35. What is the units digit of (15\/(-5) + 5)\/((-2)\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 v be 164\/10*(2 + 3). Suppose 5*a - 20 = 275. Let j = v - a. Solve -5*y + 4*p + j = 0, 0 = y + 2*p + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 320301220 + -10?\nAnswer: 320301210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1540308 is divided by 256718.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times -0.0997?\nAnswer: -0.04985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -180*z**3 + 1978*z**2 + 10*z + 96. Determine l(11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.7 - -10.7. Let t = g + -9.94. Let k = -0.16 + t. Which is smaller: -3\/5 or k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 915*j + 46661. Calculate t(-51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 2, n: 2, k: 2, b: 3}. Give prob of sequence btnb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*w - 4*w - 6*w + (-2 + 2 - 1)*(4 + w - 4) - 5*w + w + 3*w)*(-52*w - 46*w + 24*w).\nAnswer: 518*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 1. Let d(p) = p + 6. Let b(a) = d(a) - 5*z(a). Let s(w) = -1. Let h(y) = -2*b(y) - s(y). Let x = -47 + 46. What is h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -657, -651, -635, -603, -549, -467, -351?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 4, l: 1, d: 2, g: 1}. What is prob of picking 3 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6069\/(-867) + -10 + (-2 - -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.4*0.03359613.\nAnswer: -0.047034582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/9 - 0 - ((-480)\/45)\/16. Let i = 11 - 11.4. Which is the third smallest value? (a) i (b) f (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the second derivative of -123*l**5\/10 - l**3 - 2*l**2 + 43*l + 2. What is the second derivative of q(n) wrt n?\nAnswer: -1476*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 19.27429 centuries?\nAnswer: 1927.429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 186 a factor of 459420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/9)\/(-1*(-10)\/(-6))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3.9051 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the second derivative of j**6\/6 + j**5\/2 + 5*j**4\/12 - 5*j - 5. Solve b(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -14171, -14170, -14169, -14168, -14167?\n\"Answer: p - 14172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0051*0.5.\nAnswer: -0.00255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -2683*w + 126406. Calculate g(47).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 30343 - 1?\nAnswer: 30342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0.01 (b) -1 (c) -0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the third derivative of f**5\/240 + f**4\/96 - f**3\/12 - 3*f**2. Solve c(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -6*h + 194. Let x(i) = i - 39. Let b be 1540\/(-66) + 23 - (0 + 10\/6). What is b*s(g) - 11*x(g)?\nAnswer: g + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the first derivative of 7*s**4\/9 - 152*s**3\/27 + 10*s**2\/3 - 457. Factor v(u).\nAnswer: 4*u*(u - 5)*(7*u - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaaapldaaddpd. Give prob of picking 2 p and 1 a.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -751245805*o. Let h(m) = -m. Calculate f(h(u)).\nAnswer: 751245805*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 39510975 and 151725?\nAnswer: 8925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 124*o**4 - 43213*o**3 + o + 164502179?\nAnswer: 496*o**3 - 129639*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -3*u - 56, -u = 2*k - 5*u - 38. Let j = -2 + k. Sort -5, -1, j in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/(l\/(l*((l\/(l*l**(-6)*l)*l)\/l)\/l*l)))\/(l**8\/l))\/(l**1*l**(7\/4)))\/((l**(1\/2))**13*((l*l**(-2\/11))\/l)\/l**4) assuming l is positive.\nAnswer: l**(-267\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify w\/(w**12\/w)*(((w\/(w**(-23)\/w))\/w)\/w*w)\/w*w*w*(w*w*w**7\/w)\/(w*w**(-16)) assuming w is positive.\nAnswer: w**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be 608\/(-228)*(-30)\/16. Solve -c*g = -46 + 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (-15 - -21)\/(6\/10) and 49?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1407.0853571 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 43978318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkxkxkxlkaxukkakkx. What is prob of sequence ka?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -2*a - 10 - 2 + a**2 - 2. Let k be ((-128)\/(-24))\/(114\/(-18) + 7). Does 8 divide l(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-12)\/(-21))\/(2\/7). Find the second derivative of -44594 + 263*w + 44594 - 143*w**s - 2*w**3 wrt w.\nAnswer: -12*w - 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from ybykabfjakyyyy?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = -5*r + 28, 6*f - 10*f + 4*r = 8. Factor -458*b**2 + 913*b**f - 460*b**2 + 5*b**3.\nAnswer: 5*b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 4*a**2 - 3960*a - 542656 = 0.\nAnswer: -122, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 15*i**2. Let q(a) = 9709898*a**2. Give b(q(m)).\nAnswer: 1414231787556060*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3 + (0 - -1)*1. Let b be (-2 + 1)\/(3\/(-12)). Suppose b*g - 15 = g. Sort f, g, -5.\nAnswer: -5, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dodaoaoodda. What is prob of picking 1 o and 1 d?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-20)*((-3944)\/87)\/34.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k + 5*s - 4 + 34, -4*s - 12 = -2*k. Let c(q) = q**2 + 2. Let r be c(0). Solve v + r*v = -k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 48*n**4*x + 3209*n*x**2 + 10113*x**2 + 42 wrt n?\nAnswer: 192*n**3*x + 3209*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 16 = -2*o, -4*i + 12290 = 4*o + 12318 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -279*w - 3185 - 2903 = 13442 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**3 + 7*d**2 - 2*d - 8. Let q be s(5). Let m = q + -30. Solve r = m*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -57, 0, -2 in ascending order.\nAnswer: -57, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.0447897 - -0.2347991. Let d = 0.19 - k. What is d rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 2 + 5 + (3*((-5 + sqrt(68)\/sqrt(4))*-4)**2 + 4)*-3.\nAnswer: -6058 + 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51 = -n + 13. Suppose -n*s + 9 = -61*s. Solve -2*d - 5 = s*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13*z**3 - 2 - 28*z**3 + 13*z**3 + 5*z in the form y*z**2 + i*z + l*z**3 + q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - -4)*((-6)\/(-5) - (30 - 4114\/255))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 46 + -95. Let o = u + 45. Let b = -0.22 + -1.78. Put -0.4, 2\/9, o, b in descending order.\nAnswer: 2\/9, -0.4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -1346051 = -2692103\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1357, 2717, 4077, 5437?\n\"Answer: 1360*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1796 = -24*n - 68. Let z = n - 1002. Round z to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(0 + sqrt(567))**2 + (sqrt(567) + (sqrt(567) + (-1*sqrt(567))**2)*3 - sqrt(567) - sqrt(567)).\nAnswer: 18*sqrt(7) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**3 - 7*n - 3. Let u(g) = -g**2 - g. Let b(v) = r(v) - 5*u(v). Let t be b(4). Suppose 0*h = t*h - 145. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 8109699 - -44.3866\nAnswer: 8109743.3866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 1*(-1 + 1 + sqrt(200)) - (sqrt(200) + sqrt(200) + 0 + 3 + 2 + -2))**2*6.\nAnswer: 360*sqrt(2) + 1254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 185686597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -2*c - 7. Let n be w(-5). Suppose n*k - 3*o - 30 = -5*o, o = -2*k + 20. Suppose -d + 6*d = k. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -27 - -55\/2. Let s = -1.5 + 1.46. Let n = s + 0.04. Put n, -3\/2, m in decreasing order.\nAnswer: m, n, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.345 - 1.199. Let w = p - 3.146. Which is the nearest to -1\/2? (a) -0.5 (b) -1.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 641 a factor of 258961420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 6 - 36*v - 43*v - 29*v + 106*v. Let q(z) = -6*z + 18. Let t be 12 + (-2)\/4*-4. Give t*d(k) - 5*q(k).\nAnswer: 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/12*(-483)\/92?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(2\/19)*z*z**(-9\/4) assuming z is positive.\nAnswer: z**(-87\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8\/((-32)\/176 + 48\/22). Solve 5*g = p*j - 7, -5*j - 5*g = -4 + 29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 + 3*s**2 - 1. Let z be y(-2). Let h(a) = -a + z*a + 16 - 3*a + 2*a. What is the units digit of h(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 201, 409, 629, 867, 1129, 1421, 1749?\n\"Answer: h**3 + 201*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 39 + -25. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 4\/7, -0.041, -5, 1.7, 0.83 in ascending order.\nAnswer: -5, -0.041, 4\/7, 0.83, 1.7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {d: 6, l: 2, k: 1, o: 4, s: 1, u: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 64 + -39. Let z = w - 25. Which is bigger: 1.6 or z?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5706.8g in milligrams?\nAnswer: 5706800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2379174 and 4.\nAnswer: -9516696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -321 = -2*j + k + 358, j = -3*k + 322. What are the prime factors of j?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7667 - 7669. Let c(s) = s**3 + 3*s**2 + 8*s. Determine c(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*d**3 - 11*d**3 - 1 + 7*d**3 + 1.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 44470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 4*d - 4 = 0, 6*n - 7*n = -4*d - 2. Let y be (-2)\/(-3) + 39\/9. Solve -4*w + 3*f - 17 = 0, -3*w + n*f - 18 = y*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 times -0.006\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9866806.\nAnswer: 2, 59, 83617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -169*a**3 + 1499*a**2 + 184605*a - 1?\nAnswer: -1014*a + 2998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61*b - 28*b = 107*b - 2453724. What are the prime factors of b?\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 6*c + 22. Let j be q(-4). What is the tens digit of -2 - 1 - (-117)\/(-6)*j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141023 is divided by 9400.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 156721446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 5*p - 202 = 43, 4*x - 3*p - 511 = 0. Suppose -2*i = -7*i + x. Suppose -i*h + 190 = -21*h. Round h to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 340 divide 239473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -44731994 minus 10164?\nAnswer: -44742158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -353*n + 354*n + 2*u = 4, n - 4 = -u. Let q(m) = -m**3 + 5*m**2 + 4*m - 10. Calculate q(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 132 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7850005 millilitres to litres.\nAnswer: 0.0007850005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 0)*(14*k**2 - 18 + 18) + 0*k**2 - 3*k**2 + 4*k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -3 + 5*a**2 - 10*a - 4851*a**3 + 4*a - a**2 - 5*a**2. Is f(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 27 and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes after 2:11 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*t = 12*t + 30. Let z(n) = 5*n + 10. Is z(t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 46\/69*(1 + 2). Solve -5*s - 10 = 0, -3 = -t*p - 5*s - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2774 + 11187\/4. Calculate the common denominator of r and -4\/93.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*o - 24 = -4*n - 7*o, 0 = -5*n + o + 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 41.9146623 seconds?\nAnswer: 0.00006930334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 173 a factor of 3717424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 19 - 37 = 0. Suppose -c*j + 3*j = -12. Suppose -1001747 = 2*u + d + 478254, d + 2960001 = -j*u. Round u to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3308, -6715, -10122?\nAnswer: -13529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that b**5\/7 + 213*b**4\/7 - 32582*b**3\/7 + 390858*b**2\/7 - 684827*b\/7 + 326337\/7 = 0.\nAnswer: -319, 1, 11, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -74 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -4*g - 2 - 1 + 1 - g. Let s be z(-6). Let c = -15 + s. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3844 times -0.0496\nAnswer: -190.6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 5498*v - 5496*v = 14, 4*n + 10 = -5*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7895 + 7896. Is n greater than -12\/2771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 67*(-324)\/3618*15\/(-54)*-21\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 725 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.112 - 0.051. Let a = d - 2.061. Suppose 0 = -k - 3*k. Put 3, -0.4, k, a in decreasing order.\nAnswer: 3, k, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -1 - 7. Suppose 2*n = -2*l + 4 + 10, -3*l + s*n - 7 = 0. Suppose -2*j = -2*m - 8600006, -j = -m - l*j - 4299994. Round m to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -502024 divided by 502024\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (1 + -5) - (9 + 18).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.08 + -0.22. Let b = 176 - 90. Let y = b - 1120\/13. What is the second biggest value in o, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -47\/5 (b) 1 (c) -0.1 (d) -3\/4 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 9*x**2 - 5*x + 3. Suppose 22*a + 86 - 20 = 0. Let p(r) be the first derivative of -4*r**3\/3 + r**2 - r + 1. Determine a*b(d) - 7*p(d).\nAnswer: d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w + 3 - 3)*(-4*w**2 + 5*w**2 + 0*w**2) + (1 - 1 - 2*w**2)*(2*w - 3*w - 7*w).\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 382 + 147057835?\nAnswer: 147058217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17\/6 + 3\/(-1))\/((-22565)\/16923750).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-37)\/(-222))\/((-1)\/8*10).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in seven sixteenths of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2001 and 685860?\nAnswer: 19889940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96818209?\nAnswer: 1117, 86677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 86 + 82 - 333 + 87 - 2*a**2 + 81.\nAnswer: -2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*k**2 + 5*k**2 - 3*k**2 + (5 - 3 - 4)*(-5*k + 5*k - k**2) - 5*k**2 + 0*k**2 + k**2 + 3*k**2 + 3*k**2 - k**2 to the form i*k**2 + b + y*k and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i**3 - 5*i**2 - 4*i + 2. Let y be h(-4). Suppose y*q + 3 = 87. Is (24\/14)\/(12\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = -2*l - 3*v - 7, l + 5*v + 23 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five halves of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -145 - 779. What is the tens digit of 16\/104 + o\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(288))\/(sqrt(150) - sqrt(150)*-4) + -2*(sqrt(384) - 2*sqrt(384))\/(5*sqrt(8)*2).\nAnswer: 4*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (9 - 11 - (-8 - 0)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7 - 5. Suppose 20 = -7*x + j*x. Let m(z) = z**3 + 5*z**2 + 6*z + 4. Calculate m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 2, u: 7, n: 4, v: 1}. What is prob of picking 4 n?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - -11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 21*x + 2. Let q = 10 - 7. Suppose -p + q*p - 6 = 0. Is d(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 4*v**3 + 46*v**2 - 2*v - 103. Let l(i) = -3*i**3 - 31*i**2 + i + 69. Let f(w) = -5*b(w) - 7*l(w). Does 24 divide f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1195 + -859. Calculate the least common multiple of n and 35.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v + 9. Suppose -3*i + 16 = -i. What is the units digit of a(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -50 - -55. Suppose r*a + 75 = -5*h + 3*a, -3*h + 3*a - 24 = 0. What is the units digit of ((-4 - -6) + 2)\/((-2)\/h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 412223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from twwuiiiiiizkiti. Give prob of picking 1 w and 1 k.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 667*v**2 + 10*v - 1. Let g(d) = 1334*d**2 + 25*d - 3. Determine -5*a(n) + 2*g(n).\nAnswer: -667*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 113, -34, -7 in decreasing order.\nAnswer: 113, 1, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/5)\/(196\/(-70)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15 - 12.8. Let r = m - 2. Let c = 126 + -1135\/9. What is the second biggest value in -0.3, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/((-160)\/(-16)) + (-28)\/(-49).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-95)\/20*368\/(-3496)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 10326513 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1285 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -233, 1\/4, -0.12, 624 in increasing order.\nAnswer: -233, -0.12, 1\/4, 624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 40370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -211*f**2 + 31*f - 9 + 15 - 5 wrt f?\nAnswer: -422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 850752045 to the power of 1\/2, to the nearest integer?\nAnswer: 29168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 41 - 36. Suppose -2 + 29 = 3*b. Calculate the remainder when b is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(2\/35))\/k**(-2\/21)*k*k**(-33)*k**26 assuming k is positive.\nAnswer: k**(-509\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**4\/m)**(-3\/11)\/(m\/(m*m**4))**(-1\/65))**(-2\/15) assuming m is positive.\nAnswer: m**(1258\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(800) + 1 + 5)**2.\nAnswer: 40*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 87 - 85.58. Let k = 3.28 - s. Let o = k - 1.9. Which is the second smallest value? (a) -0.1 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**2 + 9*f + 24. Suppose 2*y + 5*a - 2*a = 10, 4*y - 24 = -5*a. List the prime factors of p(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxxxxxxxsxp. Give prob of picking 1 s and 2 x.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 2*t**2 - 5*t + 1. Suppose 4*z - 45 - 11 = 0. Calculate the remainder when c(5) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**2 + 8*q - 1. Give f(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 493 + -59. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1511 (base 7) to base 14\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 2*q**2 + 3. Suppose 75*h - 80*h = 0. Let i be x(h). Suppose i*s - 11 + 5 = 0. Calculate the greatest common factor of s and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6.15 - -0.15. Let r = 0.839 + -0.539. What is the closest to 1 in -1\/6, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 6, k: 1, l: 7, d: 1, g: 2, b: 2}. What is prob of picking 2 l?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101101101101101101101 - 0?\nAnswer: -101101101101101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 678903407.\nAnswer: 7, 13, 7460477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 1301223 (base 5) to base 15.\nAnswer: 76e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Round -286.0761837 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 7*t - 3429 = -9*t, 10*t - 10275 = -3*x. What are the prime factors of x?\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (50\/30)\/((75\/50)\/(3\/(-25)))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -15 - -17. Suppose q*o - 12 = -4*o. Suppose 4*u + 8 = 0, 108 + 20 = o*p + 3*u. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18877910839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 + 0. Let p = 1.66 + 0.14. Let s = p - 2. What is the second biggest value in -1, s, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-1*sqrt(864)*-2 + sqrt(864))\/(sqrt(21)\/(sqrt(28)*-4)) + -1.\nAnswer: -288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 2\/(2\/3) + 43 + -6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 62477 - 2901. What are the prime factors of l?\nAnswer: 2, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6612338141.\nAnswer: 53, 124761097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cxcxpiicc. What is prob of sequence xi?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -65 divided by 1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25809 is divided by 253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -4*d. Let x(k) = -1070*k**2. Determine t(x(a)).\nAnswer: 4280*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -6673 smaller than -66717\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -145\/1206 and -113\/43686.\nAnswer: 2926962","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes before 12:13 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c - 2*c = 16. Suppose -5*a - 3114 = -c*x, a + 3903 = 2*x + 3*x. Suppose 5*o + 271 = x. Is o a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13 + 6. Let t = m - -12. Suppose 0*o + t = o. What is the greatest common factor of o and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 15 = 4*k, 3*g + k - 3 = 12. Suppose -3*h + 0*h = -4*s + 2, 0 = 5*h - g*s. Solve p + 10 = -4*b, -7 = 2*b + h*p + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -j + 397*j**2 - 70*j**2 - 328*j**2 + j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -51549 times -0.06\nAnswer: 3092.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**3 - 3*k**2 - 2*k - 2. Let y be b(-3). Let a = -2 + y. Suppose 2*w + 4*p = 36, 3*p + 16 = 2*w + a*p. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(162) + -1)*6 - sqrt(162) - (2 + sqrt(162) + -4)) + -1 + (sqrt(162) + 0)*-3 + 5)**2*-4.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1248326 is divided by 52.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(405) + 0 + 1 + sqrt(405) + -6*(-4 + -3*(sqrt(5) + (sqrt(5) + 1 - sqrt(5)))))**2.\nAnswer: 2736*sqrt(5) + 7924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - 6 = -l. Let m(x) = -x. Let b(d) = 3*d + 3. Let a(z) = -b(z) - 4*m(z). Let k be a(l). Solve k*y - 1 = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.005, -2.5, 5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -118 (c) -0.04 (d) -1\/2 (e) -11\/3 (f) -4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 2, 0.5, -234, -0.01, 50?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the third derivative of c**6\/360 - c**5\/30 - c**4\/3 + c**3\/3 - 2*c**2. Let j(m) be the first derivative of g(m). What is the units digit of j(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {m: 2, j: 11, v: 5, o: 1}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 127\/6 and -6 - 366\/(-42) - (-1)\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j + 2. Let q(a) be the second derivative of a**3\/3 + 3*a**2\/2 - 4*a + 5. Determine -3*q(c) + 4*u(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2494 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 15 = -0*n. Let a = -13 + 25. Let i = a - 14. Sort n, -3, i in ascending order.\nAnswer: -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*b + 30*b + 7*b - 5*b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**2 - 10*h - 9. Let t be x(-6). Let z be 732\/t - (-1)\/5. Let o be (-14)\/z + 90\/(-28). Do -3 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0003173 rounded to 6 decimal places?\nAnswer: -0.000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 148 + -145. Suppose r - 3*a - 4 = 0, -2*r - 28 + 36 = -j*a. Solve d + 7 = -2*c, -r*d + 0*d = 4*c + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**3 - 9*n**2 - 8*n. Let j be d(-8). Suppose 4*h + 57 = i + 151, -2*i - 4 = j. Let b = h - 23. Solve -3*c + g = 3*g + 4, 5*g - 20 = b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {u: 4, q: 2, z: 1, s: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 39 = 3*v - 4*r, 0 = 5*v + 5*r - 35. Solve -4*g = v + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -9*x - 1. Calculate s(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 + -88?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44*q + 24*q + 20*q - 6*q**2 - q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jpw when three letters picked without replacement from {w: 5, p: 2, j: 3, f: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -3, 0 in ascending order.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:38 AM and 10:52 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1057360 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4 - -1. Let z = 62 - 64.7. Let w = -3 - z. Which is the closest to -2\/7? (a) w (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.9, -5, -17 in ascending order.\nAnswer: -17, -5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ezj. What is prob of picking 1 j and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:14 AM and 6:38 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 15*s**3 - s**2 - 10*s + 75. Let m(k) = -29*k**3 + 2*k**2 + 22*k - 149. Give -5*m(l) - 11*o(l).\nAnswer: -20*l**3 + l**2 - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6407, 6186, 5959, 5726, 5487, 5242?\n\"Answer: -3*t**2 - 212*t + 6622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -2*g. Let m(l) = -104*l - 74*l + 33*l - 15*l. Give m(w(z)).\nAnswer: 320*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 4 = 22. Suppose m*l - 63 = 3*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 56\/207, 4 in increasing order.\nAnswer: -2, 56\/207, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 47798.2 and -40?\nAnswer: -1911928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 7145503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t + 2, 90*o - 2*t = 86*o + 170. Solve 6 - o = 9*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 444056 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -35.1 (b) 6 (c) 2\/13 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 t, and 2 o when four letters picked without replacement from tqqtotooqtoqtt.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 3.1, 4, -26, 21?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/4)\/((-6)\/(-12)). Let g(l) = 25*l**3 + 2*l**2 - 2*l + 1. Let f be g(u). Suppose -f - 4 = -3*a. What is the lowest common multiple of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 46 + -21. Suppose -q = 2*q - 6, -x = 3*q + 6. Let z = k + x. What is the remainder when z is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(144) + 2*sqrt(144)*-3 - sqrt(144))\/(sqrt(968)*1)*3)\/(((sqrt(66) - -2*sqrt(66))*2)\/(-1*sqrt(396))).\nAnswer: 18*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 63178717*j**2 + 136766492?\nAnswer: 126357434*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rwrwrwwrwwwwwwwr. Give prob of picking 2 r and 1 w.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.006411 * -1748.\nAnswer: 11.206428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 + 6*s - 1. Let h be z(5). What is the second derivative of -n**h + n + 11 + 6*n**4 - 11 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/7482 and 25\/4582?\nAnswer: 591078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -2218, 17, -5 in descending order.\nAnswer: 17, -5, -2218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**2. Let f(j) = 133 + j**2 - 82 - 62. What is f(l(p))?\nAnswer: p**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**3\/v*v)\/v)\/(v\/v**9))**(2\/23)\/((v**2)**(15\/7))**(1\/70) assuming v is positive.\nAnswer: v**(911\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 + 2*g**2 + g + 2. Let s be u(-2). What is the first derivative of 4 + 3*r**4 + r**4 + s*r**4 wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-432)\/1*(4 - 100\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t - 11 + 25 = 0. Let y be -1*(-3)\/6*4. Is 165 + (7\/t - (-1)\/y) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2 (c) -1\/3 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3254*g + 9387*g + 3123*g.\nAnswer: 9256*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -i - 3*y + 2, -y = -3*i + 13. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11909*b**2 + 478*b - 953*b + 475*b.\nAnswer: 11909*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 669*z**4 - z**3 - 402*z.\nAnswer: 8028*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 28 + -26. What is the nearest to 1\/3 in g, -1\/4, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 3*z - 5*z. Let r be z\/(-9) + (-104)\/(-6). Calculate the greatest common divisor of r and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/13, 1\/5, 0, 2, -28 in ascending order.\nAnswer: -28, -2\/13, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2819508491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4*10\/(-32)*-2*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 5*s + u - 20, 2*s = -3*u + 8. Solve 4*r = -s*l, -2*r - r = -3*l + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8372 - 21176 = -582*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 138*p**2 + 11*p. Let d(j) = -3*j. Determine d(i(c)).\nAnswer: -414*c**2 - 33*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 27 - 13. Suppose -8*o = o + 6*o - 315. Let b = o - l. Solve -r - b = -2*j + 4*j, 4*j + 4 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9? (a) -2\/5 (b) -373 (c) -0.09 (d) 0.3 (e) -3\/7 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 6*h**2 - 3*h**2 + 2*h**2 - 2*h + 1. Let q(k) = 2*k**2 + 21*k - 10. Let t be q(-11). Let d be w(t). Solve 3*m + v = -3 + d, 2*v = 4*m - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -115*h**2 - 15*h**2 - 243*h + 243*h + 156*h**2 - 22*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(399) - 1*sqrt(399)*1)\/((sqrt(70)*1 + sqrt(70) + sqrt(70))\/sqrt(10)))\/(sqrt(108) - 5*-2*sqrt(108) - -4*sqrt(108)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 506, -27, -3, -2 in descending order.\nAnswer: 506, -2, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/2 of a decade in years?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -101 - 29?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 5*p - 10 + 2, p - 4*w = -2. Let c = -7 - -4. Let s(k) = -k**2 - 3*k + 2. Calculate the least common multiple of s(c) and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes after 10:02 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -24402134 (base 5) to base 6.\nAnswer: -4543544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11833272 and 426?\nAnswer: 840162312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 86304 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the first derivative of 1 - c + 1\/2*c**2. What are the prime factors of x(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (38 + -19)\/(3 + -4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4437?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -496 (base 10) in base 13?\nAnswer: -2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3)\/(-1))\/(12\/8). Suppose 0 = 2*w - 6 + t. Calculate the remainder when (-2 - -4 - -4) + w is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:38 PM and 2:38 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -861 - -339?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 70 a factor of (-4 + -1)*-71 - (3 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -23 + 23.00000056. Round a to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -4*z + 12, 2*z + 4 = -0. Suppose 4 = -i*s + 12*s. Solve -c + 3 = s*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 269*l**2*t + 14*l**2 - 12 wrt t.\nAnswer: 269*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/1298 and -3\/41654.\nAnswer: 458194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -33, -4, -5 in decreasing order.\nAnswer: 5, -4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -2009*z + 194. Let l(n) = -4018*n + 356. Determine -11*a(j) + 6*l(j).\nAnswer: -2009*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxdttdxttx. What is prob of sequence txxd?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 13115014 - -1?\nAnswer: 13115015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*l + 1 - 25 = 0. Let u(h) = -3*h + 6*h - 4*h. Give u(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100100110100101111101110 (base 2) in base 13?\nAnswer: -1ccca92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 29812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*y**3 - 2 + 2 + (-2*y + 4*y - y)*(y - y - y**2) + 73*y**3 + 879 - 879.\nAnswer: 70*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -18094793 divided by 11\nAnswer: -18094793\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 399018 or -5\/4?\nAnswer: 399018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*a + 41*a + 15*a**2 - 14*a**2.\nAnswer: a**2 - 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -304*161\/(1407140\/(-184)).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the third derivative of m**9\/378 + m**6\/40 + 7*m**3\/6 + m**2. Let q(v) be the first derivative of b(v). Find the third derivative of q(o) wrt o.\nAnswer: 480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 210, 348, 554, 822, 1146, 1520, 1938?\n\"Answer: -o**3 + 40*o**2 + 25*o + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 42 and 1624?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -569*b**2*o**3 + 445*b**2 - 2*b*o**2 + 100*o**3 + o + 21745 wrt b.\nAnswer: -1138*o**3 + 890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65*p = -980 - 125. Solve p - 1 = -3*i - o, 3*i + 3*o = -18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*g - 3*l + 29, 6*l = -3*g + 5*l - 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -1. Let c = -44960 + 44965.00025. Let z = l - c. Round z to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -54\/2701 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r**3 - 3*r**2 + 2*r - 2. Let f be z(-4). Suppose -4 = -f*x + 5*x. Suppose 2*i - 20 = -3*i. Solve -i*h + x + 0 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*a**2 - 22*a**2 - 4*a**2 + 3*a**2 + 55*a**2.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -6*c + 8*c - 3*c - 11*c**3 in the form f*c + v + x*c**3 + m*c**2 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 8538000 rounded to the nearest 100000?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/(u\/(u\/(u**14*u)))*u*u*u**(-12)*u**(-8)*(((u*u\/u**8*u*u)\/u)\/u)\/u assuming u is positive.\nAnswer: u**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -282, -565, -858, -1161, -1474, -1797?\n\"Answer: -5*o**2 - 268*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56464 is divided by 28125?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 137 a factor of 305154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/20898 and -143\/648.\nAnswer: 83592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, 4, -4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 643\/12 + -57649\/1074. Calculate the common denominator of i and 5\/4.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1066, 18, -17, 2 in ascending order.\nAnswer: -1066, -17, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -44467.052 + 44346. Let n = -0.052 - d. Let j = -120.9947 + n. Round j to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the third derivative of -r**5\/48 + 5*r**4\/4 + 725*r**3\/24 - 547*r**2. What is h in y(h) = 0?\nAnswer: -5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5792753 a multiple of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19 - -21. What is the closest to -1\/2 in w, 0.5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzbzzzbzzzzzzzzbzzzz. What is prob of sequence bbb?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tltl when four letters picked without replacement from tllrlzt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1977953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 4 = -h, -4*x + h = -26 + 6. Let w be x\/6*63\/28. Which is the third smallest value? (a) -1\/5 (b) 4.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 107167785 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*m - 337 = -67. What is the units digit of ((-1360)\/m)\/(-2*(-3)\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14 - -7. Let w be ((-12)\/t)\/(2\/(-7)). Factor 1\/3*f**3 + 0 + 1\/3*f + 2\/3*f**w.\nAnswer: f*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 3 = 4*p. Let m(a) = 2*a**3 + 4*a**2. Let s(g) = -g**2 - g - 1. Let o(t) = p*s(t) + m(t). Factor o(k).\nAnswer: 2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -152 - 1 = 9*u. Let h(n) = -11*n**2 - 3*n + 3. Let g(t) = -4*t**2 - t + 1. Determine u*g(v) + 6*h(v).\nAnswer: 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 8*f**2 + 17*f - 15. Let n be c(-13). Suppose -12*q + n = -3*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21*-2322.\nAnswer: 48762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1250513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1253, -2504, -3755, -5006, -6257?\n\"Answer: -1251*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -76, -159, -250, -349, -456, -571, -694?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**3 - 12*p**2 - 8*p + 33. Let n be j(-11). Solve -s = -n - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14*x + 24*x - 2 - 12*x)*(3 + 3 - 4).\nAnswer: -4*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -85 + 511\/6. What is the biggest value in 0.5, 0.04, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5134*m + 1868*m + 2 - 4)*(0*m - m + 0*m) to the form y + s*m + k*m**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 32957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(1008)*3)**2)*6.\nAnswer: 54456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 16*l - 1. Let a(d) = -17*d + 2. Let c(z) = -6*a(z) - 5*p(z). What is the first derivative of c(f) wrt f?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the third derivative of -m**9\/42 + m**6\/30 - 21*m**5\/20 - 3*m**2 - 5*m. Find the third derivative of y(n) wrt n.\nAnswer: -1440*n**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2.76 at most 44434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5*i**3*z + 580*i**3 + 4*i*z wrt z.\nAnswer: -5*i**3 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -29*y**4 + 37847*y**2 - 2421915*y wrt y?\nAnswer: -348*y**2 + 75694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 13441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 58 = -54. Calculate the greatest common factor of b and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 3*w - 10 = 0. Let m be -1*w\/(-4)*-12. What are the prime factors of m*(2 - 3\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12 + -5)*770\/(-539).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of -48*i**4 - 16*i**3 - 3*i**2\/2 + 12. What is h in c(h) = 0?\nAnswer: -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 0 + -6 + (10 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -5*d + 2*b + b, -3*d - 9 = -2*b. Calculate the remainder when 147\/6 + d\/(-2) is divided by (1248\/(-36))\/13*(-4)\/(80\/105).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10, 5648, 2?\nAnswer: 5648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 935 (base 10) to base 6\nAnswer: 4155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 548 - 391. Let s(l) = l**3 - 9*l**2 + 4*l + 27. Let i be s(8). What is the remainder when t is divided by 3 + -1 - (-21 + (-2 - i))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2251150 divided by 450230?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of 2*t**5\/45 - t**4\/18 - 8*t**3\/3 + 124*t**2\/9 - 224*t\/9 + 990. Factor r(s).\nAnswer: 2*(s - 4)*(s - 2)**2*(s + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*k**4 + 84*k**3 + 372*k**2 + 384*k = 0. Calculate k.\nAnswer: -2, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -35, 70 in decreasing order.\nAnswer: 70, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 51*-4579.8.\nAnswer: -233569.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -57\/146 and 29\/284.\nAnswer: 20732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 12.22 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 44234854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the first derivative of 0*p**2 - 45 + 158 - 20 + 21*p + 21 - 51*p**2. Differentiate q(b) wrt b.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.237306595 to three dps.\nAnswer: 0.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*v**2 + 91*v**2 + 1 - 3 - 7*v**2.\nAnswer: 132*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1\/9, -55664, 0.4 in decreasing order.\nAnswer: 5, 0.4, -1\/9, -55664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15 - (-1393)\/(-175)) + 23.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o**2\/3 - 938*o\/3 - 7040 = 0. What is o?\nAnswer: -22, 960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together 1811.5 and 54.581810345.\nAnswer: 1866.081810345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*d**4 - 3084*d**3 + 23*d**2 + 291*d - 131?\nAnswer: 24*d**2 - 18504*d + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1300, 2650, 3996, 5338?\n\"Answer: -2*r**2 + 1356*r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6934.02 - -6998. Let x = -58.6 + m. What is x rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 0 = -a. Let u be (36 - a)*(4 + -3). Let l = -121\/3 + u. Find the common denominator of -103\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*m**3 - 1\/4*m**4 + m**2 + 0*m + 0.\nAnswer: -m**2*(m - 2)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 88 = 2*o + j, -116 = -3*o - j. Let f be o\/15 + (-1)\/(-3). Suppose 2*t - 2*z - 1278 = 0, z - 1927 = -f*t - z. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (93\/(-186))\/((-124090)\/62044 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*b - 53*b - 930 = 0. Is b a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*g - 35*g + 98773*g**2 + 16*g - 98794*g**2.\nAnswer: -21*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/15)\/((-6)\/(-10)). Let u = -2.72 + 0.72. Which is the nearest to k? (a) u (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1090179305 to the nearest integer?\nAnswer: 33018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/27 + 47\/9. Let g = -8 - -10. What is the closest to -1 in -3, g, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 * -126\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 349 a factor of 2447053784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 42 = -g, 4*g = 5*g - 4*o + 52. Sort g, 1, 2.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -151 - -258. Let j = -92 + l. Let c = j + -34. Are c and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8039238433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 252 = -12*l. Let j be 79 - (-1 + 0)\/1. What is the greatest common divisor of l and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 4 = 0, 188*d - 186*d + 4*u - 2988 = 0. Is d a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -17 (base 11) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -13*q**3 - 3 - 2*q**4 - 2*q**2 + q + 11*q**3 + 3*q**3 + 8*q**3 - 3*q in the form u + g*q**3 + i*q**4 + x*q**2 + l*q and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 18a8aa (base 15) to base 10.\nAnswer: 1200085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (8 + -1)\/(3 + -4). Let n = w + 11. Solve 5*g + 2*q = 15, q = -n*g - 3*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 times -7082589\nAnswer: 14165178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 23\/3 or 17?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose j**4\/4 - 13*j**3\/4 + 15*j**2 - 29*j + 20 = 0. What is j?\nAnswer: 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1b49a (base 13) to base 5\nAnswer: -3203111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 + 4*k**2 + 2. Suppose -3*r + 6 = -0. Let y be r\/(-2 - (-5)\/2). Determine u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from piibpbboxxbppi. What is prob of sequence bbx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/155023110 and 57\/14.\nAnswer: 1085161770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1423 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 24*f - 18018 = 0. Calculate the greatest common factor of f and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + z - 9 = 0, 0*s + 2*z = 4*s - 6. Let q be (4 - s)\/((-1)\/1). Suppose 3*r + 9 - 39 = q. Calculate the smallest common multiple of 14 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*b**3*l**2 + 12*b**3*l - 8*b**3 + 9*b wrt l.\nAnswer: 4*b**3*l + 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 5 + (7 - 11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 0*i = -5*j - 14, i - 8 = 5*j. Let n = 4 - -1. Solve 0 = -5*r - 0*r + n*s - 15, r + 3*s + i = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiciic?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 - 3 = 3*x, 0 = 2*i - 5*x + 32. Let z = 1 - 1. Let k = -1755 - -1755. Which is the closest to z? (a) k (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 39a01 (base 12) to base 14\nAnswer: 20c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 + 726?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 + 18 + -1)*(-16)\/(-44)*66\/(-99).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f - 7*k = 25, 1407*f - 1412*f - 3*k - 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are 12940 and 12935 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - -5. Let w = -2 - -22. Suppose -l*i + 39 = -4*q + 3, -w = 4*q. What is the closest to i in -5, 2\/7, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1526455.8 rounded to the nearest one thousand?\nAnswer: 1526000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tyym when four letters picked without replacement from {n: 2, t: 1, m: 3, y: 6}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be 14\/(-28) - 30\/(-4). Solve -c - p*c + 8 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from {t: 3, x: 2, y: 5, w: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1404) + sqrt(1404)*3 - sqrt(1404))\/(sqrt(3)*-3*2) + 3)**2*4.\nAnswer: -72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 13 and -313.\nAnswer: -4069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2181407 to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00063673038 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7800664 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 72 = -5*t, -2*t + 40 = 2*t - 2*z. Suppose 0 = 7*g - t*g + 130. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2 + 1)\/((-14)\/8 - (-53802)\/(-3416))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = w, -2*t - 2*w = -7*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138 = 2*w - 4*j, -273 = -58*w + 54*w + 5*j. Solve w = -16*f - 29 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -330781930 rounded to the nearest 100000?\nAnswer: -330800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -a = -2*i + 9, 24 = 4*a - 8*i + 12*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 63955, 63958, 63947, 63922?\nAnswer: 63883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*x - 87 - 13. Solve 0 = s + 2*z + 3, -z + 2 + x = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 2*y - 2*y + y. Let v(b) be the third derivative of -b**5\/60 - 2*b**2. Suppose -32*j - 8 = -24*j. Determine j*q(a) + v(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-22))**49*(a*a\/a**(1\/11))**(-2\/45) assuming a is positive.\nAnswer: a**(-169799\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -8 + 17. Suppose s*r = 13*r - 508. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 362 divide 1735428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -461 + 232e0?\nAnswer: 22d7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -15909 by -3.\nAnswer: 5303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -60 - -15 - -15 - (-17 - (-7 - -1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 107 = 3*t, 0 = -0*t - 2*t + 3*l + 93. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32434 + 84591*c - 32434.\nAnswer: 84591*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3931440711?\nAnswer: 3, 11, 1613, 73859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 184*k**2 + 2*k + 186*k**2 + 1 - 360*k**2. What is g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 190*l**2 + l - 86*l**2 - 83*l**2 + 118 wrt l.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13.5 + 20. Let d = 7 - h. What is the second biggest value in 2, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38749937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*z - 12*z + z**2 - 9*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -136*(-12)\/(-384)*(7 - -1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97*h + 52543998 + 145762802 = 0. What is h rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-1*(sqrt(2754) - sqrt(2754)*1)*-4)\/((sqrt(288) + (sqrt(288)*-2 + sqrt(288) - sqrt(288))*2 - sqrt(288))*4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 514 = 4*x, -3*x - x = 3*i - 1606. Let o = 1150 - i. Does 46 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16147009.95 rounded to the nearest one thousand?\nAnswer: 16147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**4 + n**5 + 2*n**4)*(2 - 2 + 3) - 272*n**4 - 74*n**5 + 272*n**4 + (-5 + 0 + 2)*(-3*n**5 + 0*n**5 + n**5).\nAnswer: -65*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 2 + (5 - 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -1.8347 to two dps.\nAnswer: -1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/282*18\/5268. Let h = l + -887274\/1134815. What is the common denominator of h and -41\/35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 121 and 154.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 26931170 by -5386234.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -17758000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(250) + sqrt(250)*2*1 + sqrt(250))\/((1*sqrt(100))\/sqrt(10)))\/((sqrt(405)*2)\/((-1*sqrt(99))\/sqrt(11)))*-5.\nAnswer: 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 21567 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - b = 4*b + 242, 4*r - 5*b - 326 = 0. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, -2, -3936 in decreasing order.\nAnswer: -2, -10, -3936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 15*i**2 + 16*i**2 - 39*i**2 - 13 + 13 - 97*i**3 as j + n*i**2 + c*i + m*i**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-62*1\/11)\/(347\/(125961\/(-66))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*y + 187 - 157 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*n - 50*n - 5 = -v, -2*v + 18 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 3*y + 16 = 0, 3*a + 4*y + 4 = 0. Let w(c) = -c**2 - 4*c. Let p be w(-3). Suppose -2*s + a*b + 34 = 0, -s - p*b - 2*b = -10. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 247 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 24 + -15. Let z(s) = -2 - k - 6*s + 9 - 5. Is 14 a factor of z(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 348455\/18 - 116149\/6. Factor w*z**5 + 0 + 16*z + 52\/9*z**3 - 80\/3*z**2 + 40\/9*z**4.\nAnswer: 4*z*(z - 1)**2*(z + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s + 5. Let q be t(10). Let d = 6 + q. Suppose -d = 2*n - 3. Which is the second smallest value? (a) 2 (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than 1\/439371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 - 2. What are the prime factors of m + 1 + 9 + -2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 15*v**3 - 5*v**2 + 5. Suppose -10 = 403*h - 408*h. Suppose 14 = 5*p + t, -p + h*t - 3 = -8. Let m(i) = -8*i**3 + 3*i**2 - 3. Give p*g(c) + 5*m(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 261\/(-12)*(-159)\/((-45315)\/(-1520)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 2*t**2 - 79*t - 7058. Give b(82).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 58 - 32. Calculate the remainder when 102 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**3 - 2*g**2 - g - 31. Let b(j) = j**3 - 25*j**2 + 12*j - 300. Let y be b(25). Determine t(y).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 - 389?\nAnswer: -38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -2*r**2. Let q(b) = -3*b + 2. Let x(n) = -3268*n + 4. Let s(v) = -2*q(v) + x(v). Calculate m(s(p)).\nAnswer: -21281288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iumu when four letters picked without replacement from uwuwiwwmmiiuwwwwwwu?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -147 + 113. Suppose 8*w - 89 = -337. Let q = w - o. Which is greater: q or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -3*b**2 - 7*b + 10. Let t be d(-3). Factor 4\/5 - 4\/5*k**t + 0*k**2 + 8\/5*k - 8\/5*k**3.\nAnswer: -4*(k - 1)*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -46, -19, -3, -15\/7, -0.3, 6\/5 in descending order.\nAnswer: 6\/5, -0.3, -15\/7, -3, -19, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16613*w**2 - 2396*w**2 - 5620*w**2.\nAnswer: 8597*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -345542*o*y - 35*y - 3359 wrt o.\nAnswer: -345542*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 353 + -10941\/31. Let y = s - 72\/155. Is 0 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -24*h + 1. Let f(z) = 2849*z + 900. Let p(i) = -f(i) + 6*g(i). What is the derivative of p(l) wrt l?\nAnswer: -2993","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/12)\/((-122)\/2928) + -9*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:09 AM and 9:01 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of -14*(18\/(-12) + -6 + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a + 1 - 6*a + 6*a - 6*a**2. Calculate s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 975745 by 195149.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 234 and 6903?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -53*r - 47*r + 87*r + 208 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 111 + 4 + -10 - (6 - ((0 - 6) + 8)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 1492203456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 80 - 58. What is the units digit of i\/(3\/3) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 8011*h - 7806 + 1716 = 7866*h for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 6*p**3 - 7*p**2 + 4*p + 5. Let f(b) = 5*b**3 - 7*b**2 + 3*b + 6. Let n(w) = 5*f(w) - 4*k(w). Give n(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*w + 9*w**3 + 2*w**4 - 7 - 9*w**3 + 3*w in the form k*w**4 + j*w**2 + p + g*w**3 + h*w and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (32\/(-319))\/16*-11.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 17 = 2*v, -4*v + 25*l = 28*l + 31 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 156 and 5512?\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**3\/3 + 56*c**2\/3 + 2*c\/3 - 56\/3.\nAnswer: -2*(c - 28)*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -34, 6, -37, -26 in descending order.\nAnswer: 6, -6, -26, -34, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.917241 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -119*z + 18 = -113*z. Solve 2*h + 1 - z = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l - 9 = 1104*a - 1106*a, -6 = -4*a + 2*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ciciiccfiiif. What is prob of sequence fcci?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 379\/2280 + -3\/19. Let h(z) be the third derivative of 5\/3*z**3 + 1\/4*z**4 - 8*z**2 + 0*z + 0 + 1\/10*z**5 - a*z**6. Calculate h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2164281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0, -95178 in decreasing order.\nAnswer: 0, -5, -95178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6 + -10. Which is the biggest value? (a) -2\/15 (b) g (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 117173334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the third derivative of -t**4\/12 + 3*t**2. Let l(v) be the third derivative of 3*v**4\/2 + v**3\/3 + 2466*v**2. Calculate o(l(g)).\nAnswer: -72*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/8, -0.3527, -4\/9?\nAnswer: -0.3527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.06, 6\/7, 26, 5.32, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes after 12:25 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -12995*q + 13807*q - 34104 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 190*b**2 + 17*b + 23. Let v be r(-3). What is the greatest common factor of v and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23478758 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -14 - -4 - (-9 - (0 - (5 - 36)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 791*f**3 - 799*f**2 + 2*f + 4. Give m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/((b*b**(1\/23)*b*b)\/b*b*b))\/(b\/b**(-3)))\/((b*b\/(b**(-8\/9)*b*b))\/b*b**(-2\/17)) assuming b is positive.\nAnswer: b**(-23981\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**2 - 7*r**2 + 14*r**2 + 5*r**2 - 125*r.\nAnswer: 13*r**2 - 125*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 296785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3)\/(-2*(-6)\/(-16)). Let s(h) = 2*h + 22. Let u be s(-13). Put u, t, -1 in ascending order.\nAnswer: u, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -380 = -38*h + 380. Solve -11*t - 2 = h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a*a*a**(-5\/2)*a*a)*a\/(a\/a**8))\/((a**(-2\/37)*a)\/a**(1\/19)))**(-37))**9 assuming a is positive.\nAnswer: a**(-83601\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 800893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 19, 13, 7?\n\"Answer: -6*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 474 divided by 15\nAnswer: 158\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - 2)*(-10)\/140 - 11\/35.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60411 is divided by 5477?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6 + 0 - (-3)\/(-1). Suppose -c*b + 36 = 4*l, -3*l + 2*b = 3*b - 27. Calculate the remainder when 23 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.04 and -73.71.\nAnswer: 2.9484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 4*j - 68. Let d = 8 - j. Let i be (-2)\/d*(1 - -14). Let h(t) = -t. Let g(v) = 4*v. Determine i*h(u) + g(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 56*a - 54. Let t(m) = -2*m. Give k(t(r)).\nAnswer: -112*r - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(-3)*249\/2. Is 3 - 3 - (0 + f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-8))\/(((-10)\/(-2))\/5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/2, 4, 11, -4\/11, -1.371 in increasing order.\nAnswer: -1.371, -4\/11, 3\/2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 106799 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6\/(-1)*(-8)\/((-48)\/10). Let q be (25\/(-2))\/((-29)\/c - 3). List the prime factors of (-1349)\/(-5) - (-25)\/q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 2*a - 3. Suppose b + 2*m = -2*b + 5, -3*m = -4*b - 16. Is -11*(a + b - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 462, 913, 1362, 1809, 2254, 2697?\nAnswer: 3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 769 is divided by 44.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y - 127*y = -15*y - 52*y + 3072 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 109734 and 8?\nAnswer: 438936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2451, -1\/7, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (5 + 199\/(-5))\/((-9)\/(-30)). Let b be v\/(-232)*(0\/1 - -90). Calculate the greatest common factor of b and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - 56\/6*48\/32?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/1*5\/3*808\/(-505).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -78*a + 4822. What is f(62)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 600037599*h**2*u**3 + 4*h**2*u**2 - 271412*h*u - 39*h wrt u?\nAnswer: 3600225594*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(204) - sqrt(204))\/sqrt(12) + (sqrt(17) - (sqrt(51)\/sqrt(3))**2) + 3 - ((sqrt(833)*1)**2 + -4 + 0).\nAnswer: -843 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hjghcggichhiihgcgiig. What is prob of picking 3 c?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 7\/149?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -43 - -2 - (17 - (0 - (-35 - -16)) - -9).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 take away -84416?\nAnswer: 84416.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 4, -5*o + 2*w = -2*w + 8. Let q(m) = 3*m - 4*m + o*m + 7 + 0*m. Suppose -3 + 15 = 3*p - 3*t, 0 = 3*p + t - 8. Give q(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 - 9*g**2 + 18. Let w be r(8). Let x = 33 + w. Let c be (-9 - x)\/(1*-5). Put c, -2, -1 in decreasing order.\nAnswer: c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**2 + 89*j + 566. Determine d(95).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2*s**4 - 5*s**2 - 10*s + 5. Let j(n) = n**2 + n - 1. Let b(d) = 15*j(d) + 3*y(d). Find the second derivative of b(p) wrt p.\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*(x\/x**(-4))\/x)**(-1\/10)\/(x\/((x*x**(3\/7))\/x)*x**(7\/5)*x) assuming x is positive.\nAnswer: x**(-243\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -59758023\/440 - -135814. What is the common denominator of h and 27\/70?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -34 + 26. Let q = -2\/2721 + -24409\/108840. Calculate the common denominator of (5\/10 + -1)*15\/o and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -2, 1\/2, 73\/2 in decreasing order.\nAnswer: 73\/2, 1\/2, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -276.34 - -24.34. Let b = -230.653 + -23.407. Let h = b - r. What is h rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + 5 - 21. Let y be (-2)\/8 + (-21)\/p. Let m(u) = u**3 - 6*u**2 + 3*u + 4. Let r be m(y). Round r to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -6, -4 in decreasing order.\nAnswer: 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2029.\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be (5 - 1) + -2 + 2. Let f(u) = u**2 - 9*u - 12. Let b be f(10). Let c = b + a. Solve 4*d - c*x + 3 = 3*x, 3*d + x - 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 515 = g. Suppose -t = -g + 1. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17984536?\nAnswer: 2, 2248067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/((4\/(-6))\/((-920)\/1035)). Solve 5*f + r*b + 12 = 0, 5*f + b - 16 + 19 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 5*b - 166 = -3*z, -168 = -4*b - 4*z. Suppose -5*g - 2*l = -39 - 33, 74 = 5*g + 4*l. Calculate the remainder when b is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -7*v**2 + 8*v - 10*v**3 + 9*v**3 + 5 + 0*v**2. Let l be o(-8). Suppose -l*p + k = -3 - 8, 2*p = -3*k + 18. Sort -3, 0, p in descending order.\nAnswer: p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}