diff --git "a/data/dm_maths/full_data_2/10198_11255.jsonl" "b/data/dm_maths/full_data_2/10198_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10198_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundred millions digit of 1952316343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, g: 1, q: 1, u: 4}. What is prob of picking 1 h and 1 g?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:33 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 35, 0.03, -0.182, -3\/5.\nAnswer: -9, -3\/5, -0.182, 0, 0.03, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197\/8 + -25. Let v = 113 - 78. Let w = -34 + v. Does w = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -1. Let x(j) = j + 7. Let m be x(-6). Suppose 5*w - 5 = 0, 0 = -2*q + w + 16 - m. Calculate the lowest common multiple of q and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) 4 (c) 7 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 10) to base 2\nAnswer: 10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 57, 85, 113, 141, 169?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.1 + 21. Let b be ((-330)\/(-42))\/11 - 2\/(-7). Let n be b\/2 + (-1 - 354\/12). Are f and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 19 - 1390*p + 347*p to l*p + o and give l.\nAnswer: -1043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l + 2*l)*(932 - 1904 + 919)*(-13*l + 4*l**2 + 13*l).\nAnswer: -636*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(95))\/sqrt(5).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 0*b + 0*b**2 - 26 + 23\/3*b**3. Let d(s) = 2*s**2. Calculate c(d(h)).\nAnswer: 92*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 563677*y**4 - 542291?\nAnswer: 2254708*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90310, -361219, -812732, -1444855, -2257594, -3250955?\nAnswer: -4424944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.343 - -0.743. Sort z, 5\/6, -0.2.\nAnswer: z, -0.2, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-six fifths of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**26\/((a**(-6\/17)*a)\/a*a))**(-17))**14)**(-45) assuming a is positive.\nAnswer: a**271530","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*t - 36 = -3*u, -5*u - t = 76. Let l be (u\/(-120))\/((-20)\/25). Which is the smallest value? (a) l (b) 9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-64)\/24*(5 + -2). Let r(k) = k**3 + 7*k**2 - 15*k + 20. Does 16 divide r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-6)\/2*3\/27\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k*n**2*s**2 + 17*k*n**2 - 7*k + 2*n**2*s**2 + 23*s**2 - 14 wrt k.\nAnswer: -2*n**2*s**2 + 17*n**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = s + 10*s. Is s less than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 633698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 7\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, z: 11}. Give prob of picking 2 a and 2 z.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0312 and -1?\nAnswer: 1.0312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/3)*q**0*q)**40\/((q*q**(-1)\/q)**(-39)\/(q**(-1\/2)*q**(3\/8))) assuming q is positive.\nAnswer: q**(-2219\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:17 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1236200 - 1?\nAnswer: -1236201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42*6\/(-504))\/((-13)\/(-6))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001010101000000111110 + -100?\nAnswer: -100111001010101000001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 2*g**2 + 3*g + 2. Let m be o(3). Suppose -81 = -5*n + m*n. Suppose 3*b = -n + 111. What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011998 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 78191, 0.3, 4\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001679 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136317 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23029471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 12556?\nAnswer: 1254d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 502 and 0.3.\nAnswer: 150.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22274033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1600011 and -10\/76191?\nAnswer: 1600011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21122 - -112202210?\nAnswer: 112111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(411*l + 142*l + 653*l) as g*l + t and give g.\nAnswer: 1206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -1\/4 (c) -0.119 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/9394570 or 0?\nAnswer: -1\/9394570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10141020 (base 5) to base 10\nAnswer: -83885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*q + 599*q - 1194*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:20 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3465498 divided by 1155166.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -8\/5 (c) -122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 9. Let m(a) = -a - 4. Let c(x) = -9*m(x) + 4*t(x). Let b(g) be the third derivative of -g**5\/30 + 13*g**2. Give b(c(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9219 + 119849\/13. Sort x, 153\/5, 11 in decreasing order.\nAnswer: 153\/5, 11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14339323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 23646117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 552520 and 138130?\nAnswer: 552520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-82)\/16)\/(1\/6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142715480 divided by 6.\nAnswer: -71357740\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 937829 is divided by 1034.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 - -138. Solve -5*x + 15 = u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 36 - 2*m**3 + 12*m**2 in the form v + c*m + p*m**3 + y*m**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16*d = -17*d - 1632, -4*j - 1644 = -2*d. Let i = 413 + j. Suppose -5*w + 0*w = -5*m + 15, 5*w + 3 = -m. Solve 3*r + m = -i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 115 - 30 = 5*o, -3*c + 56 = -2*o. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*sqrt(68) + 0 + (sqrt(17) + ((sqrt(85) - (-1*sqrt(85) + sqrt(85))) + sqrt(85))\/sqrt(5) - (3 + sqrt(1377))).\nAnswer: -3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.2, -14\/181, -20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260122 by 260122.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -584 + 5?\nAnswer: -57a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6225 and 8364740.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxkuvuukv. Give prob of sequence xv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(((-10)\/16)\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.78 - -0.22. Let j = -10.4 + o. Which is the closest to -1? (a) -0.5 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t + 3. Let a be w(4). Let c be 10*1*a\/(-10). What are the prime factors of (1 - -20)*(-1 + (-65)\/c)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*f**5 - 17*f**5 - 59*f**2 + 44*f**2 wrt f.\nAnswer: -3600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 79. Suppose f + 29 = u. Find the second derivative of -5*p - 60 + u + p**5 wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - -0.15. Let i = 0.1 - x. Sort i, 3\/4, -0.4 in ascending order.\nAnswer: -0.4, i, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 417, 917, 1605, 2475, 3521, 4737?\nAnswer: 6117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**5 + 20*j**4 - 35*j**3 - 50*j**2.\nAnswer: 5*j**2*(j - 2)*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6 - 220*s**2 + 13 - 350*s**2 + 97*s**2 + 77*s.\nAnswer: -473*s**2 + 77*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 65*s**2 - 239*s - 305.\nAnswer: -(s - 61)*(s - 5)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/28*16\/10. Let d be 4\/(-34) - (-1322592)\/(-3536). Let r = d + 374. Which is the nearest to i? (a) 0 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/3 - 9*c**2\/2 + 2*c. Let g(q) = q - 53. Let p be g(-7). Let d = p - -54. Let h(z) = z - 4. What is d*i(t) + 14*h(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 61444151\nAnswer: 675885661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 21 + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 - -6274\/25. Let i = v + -22\/75. Is -1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k + 64*k = 3501. Let c = k + -669. What are the prime factors of c?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13000 and 2985000?\nAnswer: 38805000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + -18 - (-16 + 22).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 666 divided by -56174\nAnswer: -333\/28087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*f**3*y**2 + 236*f**3 - 64*f**2*y**4 + 1 with respect to y.\nAnswer: 10*f**3*y - 256*f**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 37*x + 75. Let g(d) = -6*d**2 - 279*d - 527. Give 2*g(q) + 15*k(q).\nAnswer: 3*q**2 - 3*q + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 174457342 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6)*q)**(-15\/7)\/(((q\/q**(-2\/17)*q)\/q)\/(q*q**(-1\/7))) assuming q is positive.\nAnswer: q**(-657\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*1*-1 + 2 + (sqrt(19) - (-2 + sqrt(19))) + 1)*5)**2.\nAnswer: -1500*sqrt(19) + 17725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) - (sqrt(24)*4 + sqrt(6)) - sqrt(6)) + -6*(sqrt(2) - ((sqrt(60)\/sqrt(5))\/sqrt(6) - sqrt(2))).\nAnswer: -55*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**2*t - i**2 - 159*i + 17743*j*t - 10*j wrt t?\nAnswer: 2*i**2 + 17743*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*x**6 + x**5 - 5965*x**3 - 10822183*x**2?\nAnswer: 7320*x**3 + 60*x**2 - 35790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7178*h - 17265*h - 9681*h + 1860813 = 3205*h for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*h**2 - h**3 + 5 - 34*h**2 + 57*h**2 - 4 - 6*h**4 - 4*h**3 to o + v*h**3 + q*h**4 + k*h + l*h**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 0, 112132*y + 24 = -4*q + 112137*y for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/7)*q**17*q**5*q**(1\/14)*q)**15 assuming q is positive.\nAnswer: q**(675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 52548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97069?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(4 - 12) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 7*u + 6. Let a be o(-6). Let t be 2\/(6\/33 - a). Let w(r) = -7*r - 3. Let v be w(-2). What is the highest common divisor of v and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:41 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x - 23. Let g be u(-5). Let s(m) = 14*m + 6*m**g - 3 - 11 + 6*m**2 + 4*m**2 + m**3. Let i be s(-15). Which is bigger: -3\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/66*-11)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -657162 > -657167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 3*p - 8*p - 8*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - m + m. Let p(c) = -11*c**2 + 1. Let i(k) = -57*k**2 + 4. Let o(v) = i(v) - 4*p(v). Determine o(q(g)).\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8303233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1777 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4169\/3 + 1372. Suppose 2*q + 4*v + 44 = 0, -q + 2*v = 2*q + 34. Find the common denominator of q and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26650 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**4\/6 + 5*q**3 - 14*q**2 + 124*q + 1. Suppose z(p) = 0. Calculate p.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w - s + 134 = 0, -2*s + 79 = 3*w. What is the remainder when w is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/5))**(-3\/14)*(l\/((l\/(l*l**(-2\/3))*l)\/l))**(-1\/15))**(1\/43))**(-28) assuming l is positive.\nAnswer: l**(136\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5972*b**3 + 7*b**2 + 7. Let q(c) = -45786*c**3 + 54*c**2 + 54. Determine 54*d(m) - 7*q(m).\nAnswer: -1986*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 68945 divided by 1\nAnswer: 68945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/3)\/((-3)\/3*12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124281414341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3459 + -103?\nAnswer: -3560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36487073*c**2*m**3 - 227*c**2*m**2 + 6*c*m**2 - 29*c*m + 11*m wrt m?\nAnswer: 218922438*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14)\/(182\/3822)*-15*(-190)\/(-90).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 29 = 171. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*d - 355 = 89 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181604, -363182, -544756, -726326, -907892, -1089454, -1271012?\nAnswer: -1452566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/4 - 2*i**3\/3 - 5*i**2\/2 + i + 3. Is k(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 6*w**2 + 6*w - 6. Let n be y(-7). Let u = 7 - n. Let m(l) = 4*l - 11. What is the tens digit of m(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/(-13) + (1 - -3). Let g be -6*(-1 - (-2)\/(-4)). What is the highest common divisor of g and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 3. Suppose -r + 10 = 4*r. Let j be u(r). Let o = 4 - j. Solve 0 = -o*x + 5 - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*n + 62*l - 60*l - 4, -2*n + 2*l = -22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 427008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 246 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413010 to the power of 1\/2, to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 73 = 5*u, u - 53 = f - 5*f. Let a(d) = -d**3 - 2. Let l be a(0). Let y be l\/(-5) - (-8)\/5. Calculate the greatest common factor of f and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -19995549535.\nAnswer: -19995549538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, y: 7}. Give prob of picking 4 y.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 25. Suppose -l + 2*k + 0*k = 4, -m*l + 4*k - 20 = 0. Let y(b) = -3*b**2 + 1. Let f be y(1). Sort f, 6, l.\nAnswer: l, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 13 - -1*3\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -4 (c) -2 (d) 4\/3 (e) 3 (f) 247\/7 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) + (sqrt(7) - sqrt(42)\/sqrt(216)) + sqrt(7) - (sqrt(343) + -3)**2)*-1.\nAnswer: -352 + 269*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 11571*u + 9249318.\nAnswer: 3*(u - 2726)*(u - 1131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*b**3 + 27*b**3 - 95*b**3.\nAnswer: -139*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -230297*d**2. Let f(p) = 2*p**2. Calculate m(f(l)).\nAnswer: -921188*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 - 2*q**2 - 213*q + 1643. What is i(9)?\nAnswer: 1751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17505?\nAnswer: 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**2*z**3 + 9*y**2 - 3*y*z + y - 53*z**3 wrt z?\nAnswer: -6*y**2*z - 318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1331)*-6 + (sqrt(1331)*-3 + sqrt(1331))*-5 + ((sqrt(33)\/(sqrt(15)\/(sqrt(10)\/sqrt(2))) + -1)*-3)**2.\nAnswer: -40*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 271*m**2 - 153*m?\nAnswer: 542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -201*g + 3808. Determine w(21).\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9788063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/2, 2, -2\/11 in ascending order.\nAnswer: -4, -2\/11, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 4}. Give prob of picking 2 p and 2 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 6 = 16*s. Let v be (10 - 4)\/s*3. Solve 3*d + v = 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(8\/9)*r*r**6*(r*r\/(r\/(r*r\/r**(8\/3))))\/((r\/r**4)\/r) assuming r is positive.\nAnswer: r**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 - (4 + -15 + 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*s - 2*s - 254 = 0, -10*s + 11 - 35 = -64 for j.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -315310000 rounded to the nearest one million?\nAnswer: -315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -948.999989176 + 949. What is z rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(228) + sqrt(228)*-2*3)*4)\/((sqrt(768) - -1*sqrt(768))*3).\nAnswer: -4 - 5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1422b - 5?\nAnswer: 14226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, -5, 34 in ascending order.\nAnswer: -151, -5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.5 + 4. Let m = q + 0.58. Let c = 0.07999986 - m. What is c rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**3 + 876*j**2 - 61040*j + 1372800 = 0.\nAnswer: 55, 60, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*s + 167*s - 2 - 308*s + 2.\nAnswer: 255*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r = 112. Let q = -599 - -631. Let f = r + q. Solve f*h = h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 21. Let m be k(20). Let u = -86 + m. Solve -3*b + 14 = w + w, 5*b = 5*w + u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, -1, 15, 49, 107?\n\"Answer: v**3 - 3*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4784400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 10710252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/3 + 3 + 0. Let v be 3\/(4\/(44\/p)). Let k = v - -1. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1468 - 1457. Is -576 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1341*r - 461279. Calculate v(344).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7973 + 6397*a**2 - 7972 - 7980 + 23927 to n*a + l*a**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22823*n - 2*t = 22854*n + 10, n - 5 = t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-39)\/3)\/2. Solve 0 + c = 2*y - 3*q, y + 5 = -q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/205 or 0?\nAnswer: 1\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-30))\/(-5) - 0\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 9:17 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 94, 0.3, -5 in decreasing order.\nAnswer: 94, 0.3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1956\/60)\/((-8)\/10 + 2). Let k = w + -68\/3. Is k smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36433 + 65468. Suppose 0 = 5*m - 4*j - 178970 + b, m - 2*j = 29993. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + -114. Let x be -29 - -28 - (-2 + l + 2). Find the third derivative of -26*g**2 - x*g**5 + 12*g**2 + 17*g**2 wrt g.\nAnswer: -840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:59 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*(69555\/35)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -58, -46, -32, -16, 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:36 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17) + 4 - sqrt(136)\/(sqrt(8) - (sqrt(8) + sqrt(8)*4) - sqrt(8)) - -4*((sqrt(68) + -1*sqrt(68))**2 + -2).\nAnswer: -4 - 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51019 and 2191?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 52 = -23. Suppose -m*t - 817 = -4*u, -8*t + 6*t + 6 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 29*h**2 - 9*h + 19. Is j(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**4\/9 - 652*a**3 - 388070*a**2\/9 - 599800*a = 0.\nAnswer: -45, -20, 0, 2999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - l + 32*l + (-4 - 2 + 4)*(10*l - 2*l + l) to the form f + r*l and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e2 + -1?\nAnswer: e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -w + 2. Let u = w + 7. Is 9 a factor of 2\/u - 510\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 4. Let d(c) = -14*c - 7 + 5*c + 2 - 2. Suppose -2 = 4*b + 18. What is b*u(z) + 3*d(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -217, -879, -1983, -3529, -5517, -7947?\n\"Answer: -221*g**2 + g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (18 - -17 - 24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9031528, -36126126, -81283790, -144504520, -225788316?\nAnswer: -325135178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 smaller than -2\/92661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 - 3*b**2 - 19*b. Let g(l) = l**3 - l**2 - l - 1. Calculate 3*g(z) - s(z).\nAnswer: z**3 + 16*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*l - 0*g + 2, -3*g = 3*l - 9. Is l + 30 + -1 + -2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -9) + 8\/(-2). Sort 3, m, -1, 1\/5 in descending order.\nAnswer: m, 3, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 16 = 0, k = 3*k - 3*z - 26. What is the remainder when 187 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 19024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -189*o - 224*o + 1527*o + 979*o + 648*o as g*o + x and give g.\nAnswer: 2741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 122 (b) 2\/3 (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 18 = -s, -2*q = 2*s - 7 - 5. Suppose v + s = 5*b, 2*b + 4 = -v + 30. Is 4*(12\/3 - (-492)\/v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-777.93.\nAnswer: -28005.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3488, -3583, -3678, -3773?\n\"Answer: -95*j - 3393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -6*b - 2*b + 36 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 - -1) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 632 + -631.2. What is the third biggest value in 3, b, -2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x - 1. Let q(s) = 28*s**2 - 22*s - 22. What is 132*h(o) - 6*q(o)?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -83. Let y = w + -32. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3204 and 79\/34785472?\nAnswer: 313069248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 300*l**2 + 295*l.\nAnswer: 5*l*(l - 59)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r + 34. Let u(h) be the second derivative of h**3\/3 - 144*h. Calculate a(u(f)).\nAnswer: -14*f + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 16*y - 49. Let s be m(24). Suppose 6*i - 20 = i, 5*u - s = -2*i. Is u greater than or equal to 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*219.\nAnswer: 87.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:41 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 600 + -534. Calculate the lowest common multiple of 2 and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -104053*q + 1822301.\nAnswer: -104053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 516259636 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 14*v - 18*v. Let n = v + -5. Suppose 3*m - 29 = -4*p, -2*m + p + 13 - n = 0. Solve -5*c + m = -y, -3*c + 0*c = y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 79715070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 18. Let s be 103 - 3\/(-6)*g. Let c = -69 + s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10046 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15*s + 184. Determine a(16).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 - -147. Let g(t) be the first derivative of 0*t - 4 + 0*t**f + 0*t**2 + 2\/3*t**6 - 2\/3*t**3 + 0*t**5. What is the third derivative of g(m) wrt m?\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*r - 506*r + 149*r + 1057 - 2781 + 203*r.\nAnswer: 62*r - 1724","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 16*x - 28 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 7 = 18*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 605.8038 to 0 decimal places.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 8) to base 13.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**2 + 19 + w + 8 - 1 - 8. Is i(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*x + 25, 2 = -b + x + 5. Let q be 5\/(-15) + 14\/6. Suppose 0 = 5*d - q - b. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 316.3917s?\nAnswer: 5.273195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 m when four letters picked without replacement from {m: 3, x: 4, p: 3, r: 1, i: 2, l: 4}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221102 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by -3982.\nAnswer: -79\/3982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*z**3 + 19853*z**2 - 4064998?\nAnswer: 84*z**2 + 39706*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p = -12*p - 517. Solve 2*y = -4*a - 26, -12 = -5*a - 3*y - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = 60. Suppose -5*r = 7*j - 2*j + d, 4*j = 5*r + 12. Let y = 19\/108 - -2\/27. Which is the nearest to 2\/3? (a) r (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*u + 4567 = -798*u + 1480*u + 29207 for u.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021451296 rounded to 7 decimal places?\nAnswer: -0.0002145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-15))**(4\/3)*(g*g**(4\/13)*g)**(2\/39))**(-6\/13) assuming g is positive.\nAnswer: g**(20160\/2197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from yygygtttttugggtgtt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v. Suppose -2201*c + 25 = -2196*c. Let t(w) = -10*w - 1. Let h = -337 - -339. Give c*l(z) + h*t(z).\nAnswer: 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -550, -1341, -2112, -2839, -3498, -4065?\n\"Answer: 4*w**3 - 14*w**2 - 777*w + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 16.46.\nAnswer: -49.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13979501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose -6 = -p*g - g. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7)\/(15\/(-35)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q**2\/7 - 52*q\/7 - 72\/7 = 0. Calculate q.\nAnswer: -9\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 38*c + 197. Give d(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 29 = 21 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3213.9979 - 3212. Let z = g - 2. What is z rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)\/((-3)\/12). Let u be (9 - 4) + s + 3. Solve -4*j = v - 4, 0 = 4*j - 0*v - u*v - 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j - 4*j. Let m = 0.2 - 0.2. Let q = m + -0.5. Sort -2\/3, j, q in increasing order.\nAnswer: j, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15561 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -5*a**3\/3 + 5*a**2\/2 - 23*a. Let g(k) = -5*k + 2. Determine 5*g(j) - 2*p(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 26.5. Let l = o - -22. Let h = l + 9. What is the smallest value in -1\/4, 5, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, 5, 35726 in descending order.\nAnswer: 35726, 155, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 1, u: 1, z: 2, q: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.7071 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -2, 5, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v + 3. Let o be s(0). Suppose 4*r + o*l = -67, -5*r - l = l + 75. Let f = r - -24. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24643381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1130 = -3*d. Let w be d\/4*(18 - -2). Suppose 0 = -4*f - 102 + w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9446 + (85\/34)\/(5\/(-12)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (515\/(-309))\/(5\/(-27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 6:41 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61, -298, -691, -1240?\n\"Answer: -78*b**2 - 3*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 21*d - 65. Let i be q(-17). Sort -2\/9, 37, i, 5, 1\/2 in increasing order.\nAnswer: -2\/9, 1\/2, i, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 15 + 0 + -4 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/18*36\/54. Let 3 + u*i**2 + 2*i = 0. What is i?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1742.074.\nAnswer: -174.2074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1ad?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 28*j**3 + 6890*j**2 + 487*j - 1222. Give x(-246).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -30*t + 268. Let r be i(9). Which is smaller: 97 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*h*k**3 - 92*h*k + k**2 wrt k?\nAnswer: 1182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/28 + 18\/(-14). Let x be (-7 - -3)\/(z\/2). Suppose -s = 4*c - 2*s - 10, c = 3*s + x. Solve -c*n + 0 = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 450\/70 - (-3)\/(-7). Let f(t) = 10*t**2 - 65. Let j(v) = v**2 - 6. Calculate u*f(s) - 65*j(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Suppose 0 = 4*h - 2*h + g*f - 2, 3*f - 6 = -3*h. Find the first derivative of -3 - 5*t**3 + 5 - 3 + h*t**3 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 9985726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 532 - 531. Let b = -5 + 4.98. Let x = 0.48 - b. Which is greater: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103 * 2.076.\nAnswer: 213.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.96 + 45.04. Let d = s + -43.7. Let x = 0.3 - d. What is the nearest to 0.1 in x, -3\/2, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**9)\/f*f**(-1\/7)*(f**(-10))**(-1\/11) assuming f is positive.\nAnswer: f**(752\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33, -7, 2, 1\/3, -2\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2302 (b) 1.39 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 376564868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*k + 35*k + 11*k)*((0 - 3 + 1)*(1 - 2 + 2) - 2 + 1 - 1)*(-5 + 2 - 5*k + 1).\nAnswer: 380*k**2 + 152*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -406*c**5\/5 - 3910*c**4\/3 - 80146*c**3\/15 - 21558*c**2\/5 - 412*c\/3 + 160\/3 = 0.\nAnswer: -10, -5, -1, -1\/7, 8\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10468 (base 12) in base 8?\nAnswer: 51620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -411 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27233 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**(-10\/3)\/(v**(3\/5)*v**(1\/16)))**(11\/2) assuming v is positive.\nAnswer: v**(-3949\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 1. Let p be (3\/(-1) - 0\/(-2)) + 6. Let a(m) = 4*m + 2 - 2*m - p*m - 3*m. What is -5*a(r) + 8*q(r)?\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.911 millilitres to litres.\nAnswer: 0.006911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4767735 divided by 317849\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 9 - 177*c**2 + 4 + 65*c**2.\nAnswer: -112*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57*40\/760)\/(-243).\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s - 7. List the prime factors of y(4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(832)) + -5 + -1*sqrt(832))**2.\nAnswer: 480*sqrt(13) + 29977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240163 + -240162.93800128. Let d = 0.062 - h. What is d rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.666 + -0.334. Let f be 5*(1 + (-1)\/5). Let x = -8 + 6. Which is the nearest to x? (a) 0 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**3 - 538*m**2 - 60 wrt m.\nAnswer: -3*m**2 - 1076*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j + 52893 + 310044 + 36759. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnnn when four letters picked without replacement from {j: 5, n: 5, b: 1, i: 1}?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(54)\/sqrt(6)*-6) + -2.\nAnswer: -2 - sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/26 + (3715536\/(-2418))\/88?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) 0 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 3*q**2 + 2*q + 1 - 6*q**2 + 4*q**2. Let s be u(1). Suppose -4*h + s*h = -72. Solve 0*k - 12 = 4*p - 4*k, -4*p + k - h = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6. Let u = 12 - 17. Let n = 1152\/7 + -164. Which is the third biggest value? (a) l (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1952 + s**2 + 1952. Let l(i) = -2*i - 2*i - 4*i + i. Give c(l(d)).\nAnswer: 49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81200 or -81199?\nAnswer: -81199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 354\/79 - 3420\/869. Put -7.2, n, -1 in increasing order.\nAnswer: -7.2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 260.2 + -260.1. What is the closest to -3\/2 in y, 0.3, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2 (b) -2 (c) 4 (d) 250 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + 1) - (-3 + 9 + -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 j when three letters picked without replacement from hhhhhjjhh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97200 is divided by 18407?\nAnswer: 5165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -747365 by -149473.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:17 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33854408*t**3 - 5817*t + 1231.\nAnswer: 203126448*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/4 + 61*j**3 - 499*j**2\/4 - 863*j\/2 - 246 = 0.\nAnswer: -246, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = -3*b + 19*w + 14, -3*b = 3*w + 6. Solve -3*j = -2*y - 6, -j - b = -2*j - 4*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46583418 is divided by 19697.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0173914315 rounded to five decimal places?\nAnswer: 0.01739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + r**2 - 4)*(3*r**2 - 8 + 8 + (907 - 907 + 11*r**2)*(-1 - 2 + 5)) as o*r**2 + z*r**3 + n*r + s*r**4 + d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 14 = 3*h - 2, 36 = -g + 7*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 3*d - 6*d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 17*v**2 + 16*v - 29. Is h(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 285 and 72.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*m - 30*m + 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g - 70*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -2 in decreasing order.\nAnswer: -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111 - 214 + 2*y**5 - 224*y**3 - y**5 + 103 - 2766*y**2 wrt y?\nAnswer: 60*y**2 - 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 114344959, 228689917, 343034875?\n\"Answer: 114344958*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2\/4) + (-11 - -14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62058052 divided by -5.\nAnswer: 62058052\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 30. Let n be 12\/i - 16\/(-20). Solve n*u = -0*u - 2*y - 2, -4*y = -8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*i**3 + 4 - 2 + 2 - 4 - 2.\nAnswer: -195*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79930 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - 1) - (1650 + -1675)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 divided by 32?\nAnswer: 387\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1204 and 15218?\nAnswer: 1308748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 88 = 344. Calculate the remainder when f is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 1. Let z be h(-1). Let y = z - -8. Let j = y + -1. Calculate the remainder when 5 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b**3 - 802*b**2 - 1755*b + 1530. Let u(j) = 66*j**3 + 2407*j**2 + 5265*j - 4590. Let i(a) = 2*u(a) + 7*y(a). Determine k, given that i(k) = 0.\nAnswer: -51, -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/9)\/((-3)\/(-162)). Suppose 3*m + 5*s - g = 0, -m + 2*m = -s + 10. Suppose -2*z + m = 1. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150998 and 2285494?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 847439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s\/(s*s**(6\/11)))\/s*s**(-2\/3)*s)\/(s\/s**(-2\/3))**(2\/5) assuming s is positive.\nAnswer: s**(4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.215003381 - 0.1\nAnswer: -0.315003381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/22 - 4\/22. Suppose 0 = -a + 60 - 71. Let n = -11 - -7. Sort l, n, a in increasing order.\nAnswer: a, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**3 + 333*c**2 + 1320*c - 4699. Solve z(x) = 0.\nAnswer: -220, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 3:20 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.60445 millilitres to litres.\nAnswer: 0.05960445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w**5 + 5*w**4 - 10*w**2 + 183*w. Let y(g) = 6*g**5 + 3*g**4 - 6*g**2 + 92*g. Let u(t) = 3*a(t) - 5*y(t). Find the second derivative of u(j) wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1556736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109799 is divided by 523?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/8563 and -12\/67?\nAnswer: 573721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Suppose w = t*k - k - 2, 4 = 4*k - w. Solve 2*v + 6 = 0, k*v + 7 = 4*g - 3*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2034 - 1554. Does 32 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 11*m**2 - 3 + 4 + 2*m**3 + 0 to f*m**3 + n*m + h + w*m**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -853.\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.199? (a) -10.6 (b) -14 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.64 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 12*o - 5*o)*(-3 + 0 + 4)*(-o + 3 - 3)*((0*o + o - 3*o)*(1 + 4 - 3) + 2*o - o + 0*o - 3*o + 4*o + o).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztttstmmmvtmtvtzsmzt. Give prob of sequence mtz.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 1051 - (2\/(-4) - (135\/10 + -9))?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47256341 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -4*p + 32, -7162*i + p = -7163*i - 6 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, 0.1, -13, 5\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -2, -4, 9, -9804 in decreasing order.\nAnswer: 9, -2, -4, -22, -9804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) -1 (b) -5 (c) 0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r**2 + 6. Let y(z) be the first derivative of -585 - 592 + z**2 + 1182. What is c(y(x))?\nAnswer: -36*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*a + 968*a = 489*a - 119 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/50 and 151\/126?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12413 is divided by 257.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1143 - 1121. What is the least common multiple of k and 210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 0, 22, 1 in decreasing order.\nAnswer: 22, 5, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 2:13 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/13)\/((w\/(w**5*w))\/w)*w**(-1\/2)*((w*w*w**(-3\/8))\/w)\/w*w assuming w is positive.\nAnswer: w**(653\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-3\/5))*i**1\/i*i*i**(1\/6)*i*i*i**(1\/4))**(-39) assuming i is positive.\nAnswer: i**(-3133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 12493*p - 237870. Determine s(19).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*i + 7, 2139 = -3*c + 3*i + 2160 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 37*f - 836. What is l(-53)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/12 + 12*o**2 + 1454*o. Let q(g) be the third derivative of g**5\/30 - 5*g**2. Determine f(q(m)).\nAnswer: -4*m**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0 = 2, -15 = -5*m - 5*d. What is the hundreds digit of (m\/(-3))\/(4\/(-684))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n)**(-30\/13)\/(((n*n*n**7*n*n*n*n)\/n*n)\/((n\/n**(6\/5))\/n)) assuming n is positive.\nAnswer: n**(-1073\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 249*v - 23*v + 21*v - 34*v + 223*v in the form x*v + y and give x.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = -4*d + 3*j, 0 = 5*d - 4*j + 2445749 - 2445553 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(7\/3)*d**(1\/12))\/(d\/((d\/d**(-2\/5))\/d)*d**(-2)) assuming d is positive.\nAnswer: d**(229\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 10:52 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1344.4 + 1344. Let l = 4.99 + 0.01. What is the closest to 1 in -4, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdfwwfwdddddfdfffww. Give prob of sequence df.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -44*b + 74. What is the hundreds digit of s(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22698 + -12565. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(98) - (sqrt(98) + 4)**2) + 2.\nAnswer: -108 - 49*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3db4 + 174?\nAnswer: -3c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 6555.\nAnswer: -1\/6555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**13*m)\/m)\/m**27)**(-46) assuming m is positive.\nAnswer: m**1748","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407169265.\nAnswer: 5, 81433853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i, 6 = x - 4*i + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 793255.3 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -12 (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 18. Let x = n - -8. Solve -22 = x*t - 4*d, 3*t - 3 + 9 = -3*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 22*d - 73. Give b(16).\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3958 by -98682.\nAnswer: -1979\/49341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 14.6729\nAnswer: -0.146729","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 162 (base 9) to base 12\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + (8\/(-16)*2\/(-2))\/((-5)\/(-30)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/4 + w**3\/3 - w**2 + w - 1. Let y be j(1). Let c be 0 + -3*y\/(-3). Is -1\/6 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m - 7056. Let a be (-105)\/(-60) + (-6)\/8 - m. Let o = -1653 - a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 6*i + 5. Let t(m) = -3*m - 17*m**2 + 15*m**2 + m**2 - 2*m - 4. Determine -2*c(z) - 3*t(z).\nAnswer: -z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 201 + 176 - 1733*w.\nAnswer: -1733*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**3 - 5. Let w(o) = -o**3 + 8. Let q be w(0). Let s be 2 + 5 + (-32)\/8. Let z(k) = -8 + 14*k**s + 88*k - 88*k. Determine q*h(t) - 5*z(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 29. Suppose -4*t = -3*t - a. Let q = 75 - -61. Calculate the greatest common factor of t and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -20)*-2263*(-15)\/5115\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*v + 2833 = -v, -5*f = 2*v - 14165. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26080464, -52160933, -78241408, -104321889?\nAnswer: -130402376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108513?\nAnswer: 11, 103, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88971 + -88972. Let f = 1 - 0.9. Which is the biggest value? (a) f (b) x (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/8 - 3*m**2\/4 + 3\/8.\nAnswer: 3*(m - 1)**2*(m + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16452009 divided by -3\nAnswer: -5484003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572512, -1144995, -1717478?\nAnswer: -2289961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/3 + 16*q**4\/3 + 16*q**3 + 64*q**2\/3 + 32*q\/3 = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1415 - -636. Let o = -777 - u. Find c, given that -1\/4*c**4 + 1\/2*c**3 + 3\/4*c**o - c - 1 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 435132 and 1185?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s + 5*j + 105 = 0, -5*j - 41 = s. Suppose 0*b + 12 = -3*b. Let d = b - s. Solve 2*t = -0*t - 5*m - 20, 0 = -2*t + 3*m + d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53738*0.075\nAnswer: 4030.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 - 5*p + 6. Let i be 2\/((-15)\/(-21) + -1). Let f be n(i). Round f to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*90\/(-24))\/(-9).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.3 (b) 5429 (c) 3\/365 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 3635029\nAnswer: -10\/3635029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000*h - 878*h - 1200236 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -17)\/((-3)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 138674*o**2 - 2219294*o + 28. Calculate d(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -152837?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -427*k**5 + 148*k**5 - 127*k**5 + (-1 - 3 + 2)*(2*k + 0*k + 4*k)*(0*k**4 - 3*k**4 + 4*k**4).\nAnswer: -418*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 + 35 - 14*p**2 + 7*p**2 - 2*p**2 + p**3 in the form o + f*p**3 + y*p**2 + a*p and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 2.\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9 = -5*s. Let p be (s\/6)\/((-10)\/4). Let f = -169 + 165. Which is the second biggest value? (a) f (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**2 + 6 + 6*r - 6*r + 2*r**4 - 9 as z*r**3 + y*r**2 + v + x*r**4 + b*r and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/((-3)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 - -1.5. Sort 1\/3, t, 2 in descending order.\nAnswer: 2, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1225\/(-9) - (-1650)\/1485)*(-6)\/(-18) - 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2645 + -2624. Calculate the remainder when 1*-22*(-45)\/10 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/5*(-5 - -15). Let m = g + -6. Suppose 0*v = -m*v + 98. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -463\/3 - -153. Let v(r) = r**3 + 6*r**2 + 6*r + 1. Let c be v(-5). Let f = -0.8 + 0.3. What is the third smallest value in h, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 52*z - 1259. Give f(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 11*f**2 - 13*f. Let j be g(-12). Factor -s + s**2 - j + 12.\nAnswer: s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*f - 1, 0 = -4*t + f - 1 - 8. Let o(h) = 3*h**2 + 2*h + 3. Let z be o(t). List the prime factors of (-210)\/(-66) - 2\/z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 34 - 34)*(-2*n + 5*n - 2*n + 3*n - 6*n + 4*n - 4*n + 6*n - n - n + 5*n - 5*n + (2*n - 2 + 2)*(6 - 3 - 2)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.85 - -6.25. Let u = -13 + 24. What is the nearest to u in -1, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 0*d - 4*d - 2*d. Let u(v) be the second derivative of -v**5\/120 - v**3 + 10*v. Let j(x) be the second derivative of u(x). What is t(j(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -145271000 rounded to the nearest one million?\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 1*-5 - 0. Suppose 5*p - 4 = -2*w, -11 = -5*p + f*p + 3*w. Let b = 3.92 - -0.08. Sort b, 2\/5, p.\nAnswer: 2\/5, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51590122 and 5755.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1078 and 5635.\nAnswer: 123970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7259c - -4?\nAnswer: 725a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/7533504 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/4 + (-44)\/176. Suppose -15 = 5*x - 8*x + 2*q, 3*x = -4*q - 3. Let k(u) = 3*u - 2 - 4*u**2 + 4*u**x - 3*u**3 - 2. What is k(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9573, 19159, 28745, 38331, 47917?\n\"Answer: 9586*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13254961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 854 and 15494.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*y - 0*y + 355, -4*y - 2*d + 274 = 0. What is the lowest common multiple of 8 and y?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ca63 (base 14) to base 9\nAnswer: 52871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**4 - 32*d**3 + 76*d**2 - 40*d = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1170183 divided by -21\nAnswer: 55723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(196)*-2))\/(sqrt(72) - sqrt(72)*-1 - (sqrt(16) - sqrt(48)\/sqrt(3))\/sqrt(8)) + 4.\nAnswer: -sqrt(19)\/168 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 10\/3*m**6 - 3*m**2 + 0*m**5 + 0*m**4 - 29 + m + m**3. Find the second derivative of r(o) wrt o.\nAnswer: 1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -1.04 (c) -3 (d) 0.4 (e) -0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 407691626, 407691627, 407691628, 407691629?\n\"Answer: y + 407691625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d**2 - 4*d**2 - 3*d**2)*(-7 - 6 + 6)*(-1 + 0 + 2) to k*d + c + j*d**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28686619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 1:27 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2824818 to the nearest integer?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2629 + -1808. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(21\/(-18))\/(1645\/141)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -65*w + 3. Let y be q(-1). What is z in -5*z + 211*z**2 - 287*z**2 - 10*z - 69*z + y*z**3 + 72 - 12*z**4 = 0?\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -87. Suppose -5*c = 15, 0 = -4*m + 5*c + d + 14. What is the greatest common factor of m and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -944, 2, 3 in descending order.\nAnswer: 5, 3, 2, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1734*n - 1. Let g(k) = -3476*k + 2. What is -3*g(b) - 5*r(b)?\nAnswer: 1758*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 184.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let d = 39051 - 741967\/19. Suppose n + 23 = -g - 3*g, -3*n + 5*g - 52 = 0. Which is the closest to -1? (a) n (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 19. Give q(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v - 5. Let z be w(-4). Suppose -z*u + 8*u = 0. Let y be 2\/10*-9 - -2. Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*b**5\/8 + 87*b**4\/4 + 477*b**3\/8 + 93*b**2\/2 + 21*b\/2 = 0. What is b?\nAnswer: -1, -2\/5, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d + 4. Factor -2*a - 16*a**d + a**3 + a**3 - 2*a**2 + 18*a**4.\nAnswer: 2*a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50263.05l to millilitres.\nAnswer: 50263050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69, 71, 69, 57, 29, -21, -99?\n\"Answer: -r**3 + 4*r**2 - 3*r + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 276.\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2 and 119\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62875 and 97079.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(224\/12))\/(2\/(-1)). Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33382202*z + 16691120*z + 16691096*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188786, -377550, -566314?\nAnswer: -755078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (5\/2)\/(1\/4) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157 a factor of 36232623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 207*m**8\/112 - 190*m**4\/3 - 370*m**2. Find the second derivative of l(y) wrt y.\nAnswer: 12420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 572910 by 286455.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 35\/5 - 6 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, y: 1, l: 3}. Give prob of sequence lly.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 14*m - 17. Let w be h(13). Let y(l) = -12 - 33*l**2 - 32*l**2 + 112*l**2 - 5*l - 41*l**2. List the prime factors of y(w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-3)\/(-24)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/35)\/(c**21*c))\/((c\/(c*c**(9\/5)))\/c**(-4\/27)) assuming c is positive.\nAnswer: c**(-3835\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*18\/12*16\/(-220)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 138 = 48. Let c be 4\/22 + (-184)\/44. Let s be 0 - (-7)\/((-7)\/c). Solve -2 = s*l - t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 7*s + 5. Suppose -14 = 2*j - 2. What is the remainder when m(j) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-2*s + s**2 - 35*s + 15*s).\nAnswer: s**2 - 22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102 - (44 + -24) - (8 - -11).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:36 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*u, 2*u = -m + 5*m - 4. Calculate the remainder when (-2)\/(-6) - m\/(-3) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1575, -21\/4, -2\/5, -32\/23, 1\/5?\nAnswer: -32\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/(-3))\/((-3)\/(-3)). Suppose j*g - 560 = 2*g. Calculate the greatest common divisor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 33*a**3 - 4*a**2. Let x(g) = -67*g**3 + 7*g**2. Give 5*s(m) + 3*x(m).\nAnswer: -36*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3 - 0) + (153 - 172) - 0\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 11*d**2 + 9*d + 7. Let t be i(10). What is the tens digit of t\/(-1*3\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 382, 887, 1392, 1897, 2402, 2907?\n\"Answer: 505*q - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-208)\/(-28) + -4)\/(4\/14). Let j be (-37)\/(-3) - n\/(-18). Calculate the greatest common factor of 91 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2\/29 (b) 278 (c) -5 (d) 1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + (46 - 41) - -50?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttip. What is prob of sequence tt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30*((-138)\/18 - -8). Solve 4*o + m = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*j - 442*j = -196 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36494 is divided by 1193?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6593837, -6593834, -6593829, -6593822, -6593813, -6593802, -6593789?\n\"Answer: s**2 - 6593838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -5\/2, 1\/4, -2\/11 in decreasing order.\nAnswer: 1\/4, 1\/5, -2\/11, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/6)\/((-4)\/12). Suppose 5*y = 4*y + m*r + 298, y - 4*r = 295. Suppose -y = -9*b + 17. What is the highest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -29*v - 190. Give z(-10).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - y + 5*f + 17, 4*f = -4*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-18))\/(-3 + (-12)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**3 - 2655*a**2 - 356400*a - 1045440 = 0.\nAnswer: -264, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 1\/406368?\nAnswer: 1\/406368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15 - -0.15. Let p = 0.1 + -1.1. Let v = -3 - p. Which is the biggest value? (a) v (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (7 - 5)) + (-14 + 1 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -276300*o**2*p**2 - 6144867*o**2*p + 2*o*p**2 + 3*o*p wrt p?\nAnswer: -552600*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 11:36 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 22*k**4 - 3*k**3 - 3*k**2 + 4*k - 470. Let m(y) = 64*y**4 - 8*y**3 - 8*y**2 + 11*y - 1409. Let f(a) = -8*c(a) + 3*m(a). Differentiate f(b) wrt b.\nAnswer: 64*b**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -1.18 (c) 1 (d) 4 (e) -6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 1. What is j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/10626 and 71\/220616?\nAnswer: 4632936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450 = -163*w + 1832 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - (-1)\/(-5). Which is the closest to -0.1? (a) -1 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13721835 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7350, 7882, 8776, 10038, 11674, 13690, 16092?\n\"Answer: v**3 + 175*v**2 + 7174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-10 + 197 + -172 + -13 + 1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3465\/(-6))\/((-24)\/(-38080)). Round g to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4, -15, 77 in increasing order.\nAnswer: -15, -5, -1, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1194199\/26 greater than or equal to -45931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3630 plus -0.5?\nAnswer: 3629.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 164 - -2450?\nAnswer: 2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 q, and 1 z when four letters picked without replacement from zyyygzkzdqg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.13 - 0.55. Let v = o - -5.6. Let k = 0.08 + v. Sort k, -5, -3 in descending order.\nAnswer: k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 14*h - 8*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.3391303 rounded to three decimal places?\nAnswer: 18.339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10656*u**2 - 7*u - 660148 wrt u.\nAnswer: -21312*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -d - 7106, d - 21370 = -5*r - 3619. Does 67 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzflzzzzzkf. Give prob of sequence lxk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935873 is divided by 49?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50718712*a**2 + 150913.\nAnswer: 101437424*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:14 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.69442l?\nAnswer: 2694.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666848 divided by 52.\nAnswer: 12824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.314837 centimeters to meters.\nAnswer: 0.08314837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2. Let n(u) = 331*u**2 - 2*u + 1. Calculate -5*g(v) - n(v).\nAnswer: -316*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.35 - -33.45. Let s = 1169 - 1132. Let v = l - s. Which is the smallest value? (a) -1 (b) -5 (c) 3\/7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -201 - -441. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-13))\/u*u*(u\/(u*u**(-31\/4)*u*u))\/u*u**(3\/8)*(u\/(((u**2\/u)\/u)\/u))\/u assuming u is positive.\nAnswer: u**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49650 and 300.\nAnswer: 99300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988776 to the power of 1\/2, to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6032401*0.4\nAnswer: 2412960.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49742697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346753101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3865.\nAnswer: 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 4:51 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -453. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 166, -0.4, 15.147, 0.1?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4749 is divided by 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.14, 0.4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-27)*(3 - 6). Let l = 2272.7 - 2273. Which is the closest to 0? (a) s (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11913 divided by 3.\nAnswer: -3971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22446094637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 425727117?\nAnswer: 851454234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-35)\/o)\/o)*o)\/o**(2\/47) assuming o is positive.\nAnswer: o**(1831\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.1 - 1147?\nAnswer: -917.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*z + 61, 20*z - 19*z = 2*g + 10. Let c(b) = -2*b - 25. Give c(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3 + 4 - 1 - 4 + (4 - 1 - 2)*(0 - 1 + 3) + 1 - 3 + 8)*(-4*q - q - 2*q)*(-q**2 - 2*q**2 + 2*q**2).\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:15 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -184, -281, -404, -559, -752?\n\"Answer: -c**3 - 7*c**2 - 69*c - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**3 + 2*b**2 - 4*b + 5. Let p(f) = -4*f**3 + f**2 - 3*f + 4. Let r = 13 + -16. Determine r*x(o) + 4*p(o).\nAnswer: -o**3 - 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:00 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -26*h + 12*h. Suppose x = -5*r - 0*r + 95, 0 = -2*x + 10. Let c be 3\/r + 113\/6. Calculate the greatest common divisor of h and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*2 + -79 - 2. Find the common denominator of 6*(2 + 186\/(-24)) and 9\/15 + (-744)\/t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 111788 = -111228 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 106551.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 77*s + 1. Suppose -3*m + 4*m + 4*q = -17, 5*q + 16 = 4*m. What is x(m)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2 + a - 1 + 0 + 2. Calculate d(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*k = -55, 3*u - 34 = u + 4*k. Let a be (-132)\/u - 5\/25. Let x = a - -78. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 29 = 5*o - 49, 0 = -o. Let i(a) = 2 - a - a - 3 - a**2. What is i(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69364.67 nanoseconds to seconds.\nAnswer: 0.00006936467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*l**3*z**5 - 6*l**3*z - 2*l**3 - z**5 + 8 wrt z?\nAnswer: 680*l**3*z**3 - 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -77710 (base 8) to base 16\nAnswer: -7fc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41415273169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*b**2 - 2 - 2 + 4 as c + x*b + g*b**2 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331\/3 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/38, -5\/2, -7\/4 in descending order.\nAnswer: -1\/38, -7\/4, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 277 = 35. Solve -3*g + 3*j = -v, 3*j - j + 21 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*m**3 + 212*m**2 + 16*m - 272.\nAnswer: -4*(m - 2)*(m + 1)*(19*m - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - a1?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.28 times -0.3\nAnswer: 0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100 (base 2) to base 15.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 479, -2, -5, -14 in descending order.\nAnswer: 479, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3773 and 8610?\nAnswer: 4640790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20136546.\nAnswer: 2, 3, 23, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(1\/29)\/b))\/b)\/b)**(-5)*b**(-16)\/(b**(24\/11)\/b) assuming b is positive.\nAnswer: b**(-5426\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -22*l**2 - 4*l + 48. Let p(z) = -45*z**2 - 7*z + 95. Let o(h) = -5*b(h) + 3*p(h). Let g(d) be the first derivative of o(d). Differentiate g(s) wrt s.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c**3 + 17*c - 369.\nAnswer: -21*c**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 55 (b) 88 (c) 0.04 (d) 1.2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 87.13.\nAnswer: 17.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuwuueyyququjq. Give prob of sequence qwe.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 1\/32*r**4 - 1\/280*r**7 - 3\/80*r**5 + 3\/160*r**6 + 0 + 0*r**3 - 9*r**2 + 0*r. Let q(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 2699*h. Let y(c) = 46*c. Calculate y(o(j)).\nAnswer: -138*j**2 - 124154*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1266)\/18*((-3)\/1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24548 and 879206.\nAnswer: 33409828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.95 - 0.05. Suppose 2 = m - 3, -3*s - 4*m + 5 = 0. Let x be 18\/12*(-16)\/(-6). What is the third biggest value in s, x, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/77 - (10 - 2016\/196).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1043025408 by 6.\nAnswer: 173837568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 19 = 2*r - 227, -3*l - 2*r + 186 = 0. Let q = l + -168. Let x be (-1920)\/q - (-2)\/9. Which is smaller: x or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*m + 1794*m - 75520 = 175*m - 1170*m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odds when four letters picked without replacement from {l: 3, d: 4, s: 2, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 3:38 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677*g + 1295*g**2 - 677*g.\nAnswer: 1295*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2)\/(-8) - 14\/280. Which is the closest to -1? (a) 5 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(32\/6)*1528\/(-1146)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.168 from -11.349.\nAnswer: -11.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) + -2 + 5. Suppose -s = -l + 3, -k - 5 = 3*l + 3*s. Solve l = 4*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 - 124 = -5*i + 2*y, -2*i = -y + 129. Let z be ((-6)\/11)\/3 + 252\/i. Let b(t) = -t**2 - 4*t - 2. What is b(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(135) - (sqrt(135) + (sqrt(135) - -6*(sqrt(135)*-2 + sqrt(135)))))\/(sqrt(48) - (sqrt(432) + sqrt(432)*2))*2)**2.\nAnswer: -155\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 14985126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 + 109*v - 318. Calculate h(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00627 take away 368.094?\nAnswer: -368.08773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((27 - 3)\/(-4))\/((-2)\/6). Suppose -q = -h - 2*h. Let m(c) = -c**3 + 7*c**2 - 6*c - 4. Determine m(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/104 - 190\/52)*56. Let d = k - -205. Solve 0 = d*a - 3*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 42*(-4)\/44.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-4)\/3400*(465\/(-1116))\/((-2)\/(-12)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85707032 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62583 and -3?\nAnswer: 62580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70)*-2 - sqrt(70))*-5)\/(sqrt(10) + (sqrt(10) - 4*(sqrt(10) + sqrt(20)\/sqrt(2)))).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -43. Calculate the remainder when 41 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4955805*g**5 + 394666*g wrt g.\nAnswer: -99116100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10688*q**2 - 514 + 1023 - 511 to the form o + y*q**2 + j*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1305)\/(-14790))\/(1\/(-2))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6497 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6259 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/3 + 644*y**3\/3 - 16210*y**2\/3 + 81808*y\/3 + 77880 = 0. Calculate y.\nAnswer: -2, 11, 18, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -504, -693, -798, -789?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*n + 2969*n + 60*n.\nAnswer: 2759*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1103*t + 612*t = -3437 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -49?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, -105, -0.2, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/14)\/((-12)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6418*r + 6430*r = 288240. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 7 (c) 1\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89551 - 89561. Let z(n) = 4*n - 1. Let u be z(1). Suppose 3*j - u = -0*j. Which is the second biggest value? (a) g (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 14*d - 86. Let a be c(6). Let q be -4*a\/16*6. Solve -k = -0*k - q*i + 10, 0 = -k + 4*i - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a3a4d (base 14) to base 10\nAnswer: 5234837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 741 + -58. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*j - 81, 0 = -4*j + j - 9. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 141, 280, 419, 558, 697?\n\"Answer: 139*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5)*-3 - sqrt(15)\/(sqrt(405) - sqrt(5)))**2 + -3 + (sqrt(300) - 6*(0 + sqrt(300) - sqrt(300))**2 - sqrt(300)).\nAnswer: 1683\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -48*8334.5\nAnswer: -400056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22759486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddqcqcqdmqq. Give prob of sequence cmd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 730872911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3203 (base 7) to base 9\nAnswer: -1485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n - 3495 + 4528 - 26674 = 0. Solve 401*b - n*b - 36 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6576 - -8257. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3414 - 2759. What is the highest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**3*s + 4*p**2 + 4730*p*s**2 + s**2 + 5824*s wrt p.\nAnswer: 9*p**2*s + 8*p + 4730*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 502 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*60\/200 + (-24570)\/525\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4350 - 25?\nAnswer: -4415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n. Suppose -1373 + 1403 = -15*s. Let f(c) = -14*c + 1. Determine s*f(x) + 5*m(x).\nAnswer: -7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000158459 rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/149 - -161\/894. Suppose 12 = -a - b, 2*b - 24 = 3*a - b. Let n be (a\/6)\/(1\/(-3)). Sort n, q, 4\/7 in increasing order.\nAnswer: q, 4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.34, 8, -9 in decreasing order.\nAnswer: 8, 0.34, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*x**2 + 60*x**2 + 104*x**2 - 10*x**2 + 8*x**2 + 18*x**2 + 0*x**2 - 4*x**2 + 3*x**2 + (-x - x + 4*x)*(-2*x + 0 + 0).\nAnswer: 152*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**5\/70 - o**4\/42 - o**3\/21 + o**2\/7 - 8*o. Factor b(t).\nAnswer: 2*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 - 40*i**3 + i**4 - 141808 + i**2 + 141820 - 2*i**2 in the form o*i**2 + l*i**3 + j*i**4 + x + k*i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4368 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 78566*r**2\/9 - 771537760*r\/9 + 771616328\/9.\nAnswer: -2*(r - 1)*(r + 19642)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -14345\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219081720?\nAnswer: 2, 3, 5, 11, 13, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2634 + 2633 - 5267 + 35*g.\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-164*b**3 + 52*b**3 + 42*b**3)*(-63 - 75 + 51) in the form c + u*b**2 + t*b + f*b**3 and give f.\nAnswer: 6090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 17 = -4*n + 2*z, -5*n - 22 = 2*z. Put -2, 3, -11, n in descending order.\nAnswer: 3, -2, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5323193905 to the power of 1\/3, to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 20. Suppose -t = 4*y - 2*y - 19, 0 = 2*y + 4*t - m. Let q(j) = -j**3 + 10*j**2 + 10*j + 14. What is the remainder when 8 is divided by q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((0 - 3) + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 4, 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69275023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/4114175 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2402101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/23 in -0.08, 0.4, 4, -2.2, -27?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 36*l - 302. Let t be z(7). Let p(d) = -63*d + 3. Determine p(t).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-3))\/((-1)\/3). Suppose -a + 2 = -3*v + v, 4*a + l = 2*v. Let s(w) = w**2 - 2*w - 6. List the prime factors of s(a).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let p = 14 - 17. Let b = -1 - p. Is b less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13469.177122 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -194*u. Let r(p) = -23*p. What is r(z(c))?\nAnswer: 4462*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10111 + -10114. What is the fourth biggest value in -1\/4, 1\/6, 0.06455, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*r**3 + 800*r**2 - 465*r + 70 = 0. Calculate r.\nAnswer: 2\/7, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061 times 0.2?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11280 is divided by 364.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262974\/119 - -37558\/17. Let p = -0.06 - -4.06. Which is the smallest value? (a) p (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11597659, -23195322, -34792985, -46390648, -57988311?\n\"Answer: -11597663*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299779 or -6392?\nAnswer: 299779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, g: 15}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**5 - 15*x**4 + 5*x**3 + 15*x**2 - 10*x = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - g - 3. Suppose -21 = 3*d - 3. Let h be x(d). Suppose k = 60 + h. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2 - x**3 - 9*x**2 - 7 - 7 - 16*x + 12. What is the tens digit of c(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9958 + -9962. Let a be -3*(0 + (-20)\/(-6)). Let q = -15 - a. Put b, 5, q in decreasing order.\nAnswer: 5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 66, 127, 202, 285?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**2\/3 - 15462040*b\/3 + 61847968 = 0.\nAnswer: 12, 3865498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -344 + 570. Let j = -226.075 + o. Round j to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/16861 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 6:56 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 175000457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0137976 and 0.101.\nAnswer: 0.0013935576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9080722163.999998224 + -9080721956. Let z = 208 - n. What is z rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -3 (c) 2\/91 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 2\/9, -10 in decreasing order.\nAnswer: 2\/9, -6\/13, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -41*x + 7. Let j(h) = -7*h**2. Let t be j(1). Let c be y(t). Let l = 529 - c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -2\/303591, 385?\nAnswer: -2\/303591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643*k + 6 - 55 + 49.\nAnswer: 643*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002751378 rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11299819*a**2 + a + 4300511 wrt a.\nAnswer: -22599638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1439266*s**3*x - 3847240*s**2*x - 4*s*x wrt s.\nAnswer: 8635596*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15423.297833 rounded to the nearest 10?\nAnswer: 15420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1827 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/20 + 2*r**3\/3 - 2*r**2. What is the first derivative of f(k) wrt k?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -46*19\/(-6)*-3. Let x = j + 483. Suppose 3*w + 2*s - 132 = 0, w - 5*s = 2*w - 31. What is the highest common divisor of w and x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 3. Suppose 0 = 7*m - 2*m - 30. Let o be r(m). Suppose -3*p - o*b = -84, 8 = p + 2*b - 23. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(3*f - 5*f + f) + (2 - 1 - 7)*(0 - f + 0) - 5 + 5 + 2*f + 3*f + 3*f - 2*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -34 - 70. Factor -a*h**4 + 90*h**3 + 82*h - 45*h**2 - 30*h**2 - 12 - 39*h**2 - 20*h.\nAnswer: -2*(h - 1)**3*(13*h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1999 - 4031 + 15*y + 1993 + (-2*y + 0*y + 3*y)*(2 - 2 - 2).\nAnswer: 13*y - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 3:57 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + w**2 + 3*w + 3*w**2. Let z be s(-3). Suppose z = -4*c - 0*c + 16. Solve -c*k + 3 = 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/4 + 31*s**3\/3 + 16*s**2 + 65*s + 62. Let w be x(-30). Solve w*z + 8 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)\/a**(2\/15))\/((a\/((a\/a**(-1\/2)*a)\/a))\/((a\/(a\/(a*a**5)))\/a*a)) assuming a is positive.\nAnswer: a**(67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j**5 - 36*j + 58*j - 30*j + (0*j**3 + 0*j**3 - j**3)*(-2*j**2 + 0*j**2 - j**2)*(1 + 5 + 0).\nAnswer: 9*j**5 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 10*s**2 + s - 4. Let w be 12 + (-1 - (-1)\/(-1)). Let v be r(w). Let a = 7 - v. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120*j**5*q**3 - 6*j**2*q**3 - 12*j**2 wrt j.\nAnswer: 7200*j**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, -1\/4, 0.1, -399 in increasing order.\nAnswer: -399, -1, -0.5, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = t - 24, -t + 84 = 2*t + 3*u. Suppose t = 61*i - 56*i. Let s = 4 + 1. Solve -s*j + b = -i, j + b - 18 = -3*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 115 + 55 + -4 + -57.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-294)\/189)\/(-7)*(-6)\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 97151, 194400, 291649, 388898, 486147, 583396?\n\"Answer: 97249*m - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/7, 4, 30.8, -0.06, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*m**3 - 550*m**2 wrt m?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 16 = 3*c - 4, -t = 4*c + 6. Let y be 99\/c - 8\/(-16). Let d = y + 64. Solve x = -q + 4, 5*x + 0*q + d = 2*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -1\/2, 0, -51.4?\nAnswer: -51.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -106*m - 1570. What is d(-13)?\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 4) to base 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019215 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, l: 13}. What is prob of sequence yl?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 850*g**2 - 91374*g + 266526.\nAnswer: -2*(g - 221)*(g - 201)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 2*t - t)*(-2 + 5 - 1) + 1 - 1 - 2*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251 divided by -6.\nAnswer: 251\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2 and -10\/2411.\nAnswer: 4822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-9316.4.\nAnswer: 5589.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29\/3*m + 5\/6*m**2 - 4.\nAnswer: (m - 12)*(5*m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5848.49384205 + 2.1.\nAnswer: 5850.59384205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 + 990842*z**2\/3 + 8917505*z\/3 + 7926664\/3.\nAnswer: (z + 1)*(z + 8)*(z + 990833)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 - (-7 - -10) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1934476 plus 12.1?\nAnswer: -1934463.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 35\/28*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 197*h + 39. Let y be u(4). Let t = -488 + y. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-2)\/28)\/((-44)\/(-14)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 703 and 56647?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*q**3 - 5644*q**2 - 7566865.\nAnswer: 300*q**2 - 11288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96275948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -164 - 88. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2057623851 to four dps.\nAnswer: -0.2058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3873\/4 - 19357\/20. Let j(y) be the second derivative of 0*y**3 - 2\/21*y**7 + 0 + 0*y**4 - 5*y + k*y**6 + 0*y**2 - 9\/20*y**5. Factor j(t).\nAnswer: -t**3*(2*t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6803*d + 749 - 289 - 817 - 879 - 1165 wrt d.\nAnswer: -6803","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - v**3 - 356 + 356 + v. Suppose 0*n + n = 2. Determine l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7011 is divided by 988?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let a(n) = -14*n + 17. Let l be 38\/6 - 8\/24. Suppose -7*s + 6 = -l*s. Let o(m) = 5*m - 6. Let t(y) = s*a(y) + 17*o(y). Determine u(t(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11175 and 675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1964.364l to millilitres.\nAnswer: 1964364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2221 + -2212.339. Let s = 0.051 + 8.649. Let m = s - z. What is m rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j - 9 = 0. Let b(q) = 5 + 2*q - 6 - 3*q. Calculate the remainder when 5 is divided by b(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, t: 7}. What is prob of picking 3 t?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -3 - (1 - 1). Let u = g + 14. What is the highest common divisor of 4 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1235*y - 3428*y + 2417*y - 4697*y - 3521*y to x*y + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 + 10 = 0. Let h(u) = -u**3 + 7*u**2 - 4*u - 6. Let n be 1\/((-3)\/(36\/(-2))). What is the remainder when q is divided by h(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2550158171 or -1?\nAnswer: 1\/2550158171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -356 - -206. Suppose o - 860 = -3*o. Let m be -3 + (-2)\/(i\/o). What is the closest to -0.03 in -5, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*z + 832, -7 - 3 = 2*j. What is z rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 4*t**9\/189 - 8*t**5\/15 + 58*t**3\/3 + 55. Let v(d) be the third derivative of g(d). Find the second derivative of v(l) wrt l.\nAnswer: 1280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - 57*i + 16. Let g be v(16). Suppose g = 11*w + 21*w. Solve 4*z = -j - 1, -6 = -z - 3*j + w*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**2 - 3. Let q(f) = 8*f**2 + 3. Suppose -2*o - 5*s - 32 = 0, -5*o + 2*s - 5*s - 42 = 0. Give o*q(x) - 7*z(x).\nAnswer: x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*r - 12214, 16*s - 21*s = 20. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39583 - 23342. Suppose 11*p = -o + 93912. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = 2*b - 139. Let q = b + -182. Suppose -l - 33 = -q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2939*k**3 - 5 + 60*k - 60*k)*(6*k - 5*k - 1 + k).\nAnswer: -5878*k**4 + 2939*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 3862?\nAnswer: 27034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + r + 2 = 2*r, 2*w - 10 = -4*r. Let y = 0 + w. Let p be ((-1)\/(-3))\/(y\/(-9)). Solve -p*f - 3 = 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 9*q**2 - 9*q - 4. Let s be j(-8). Suppose 9*a = s*a + 300. Calculate the greatest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14860 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 17*o**2 - 18*o + 46. Let c be b(16). Let p = c + 17. Calculate the remainder when 83 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/3 (b) -1\/6 (c) -16\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519503335?\nAnswer: 5, 13, 1889, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - ((-1)\/(-3))\/(15\/(-225)). Solve 0 = 5*j - o - 1, 2*o - 4 = 2*j + d*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14154172 or -14154260?\nAnswer: -14154260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2327*t - 5454. What is the units digit of l(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31200 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -0.1209 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 499408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/9, -355, -3, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 18. Let l = n + 43. Suppose 37 = -l*u - v, 2*v + 6 = 4*v. Which is bigger: -9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -3*o + 1\/42*o**7 + 0*o**3 + 0*o**2 + 0*o**6 + 1\/4*o**4 + 0*o**5 + 0. Find the third derivative of y(g) wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 79978*s + 959928. What is k(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698600.\nAnswer: 2, 3, 5, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 + 118. Suppose -1535*x**2 + 3096*x**2 - 1541*x**2 - d*x**3 - 15*x = 0. What is x?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69 or 8704\/125?\nAnswer: 8704\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263249.\nAnswer: 3, 13, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 6 - 30. Which is the closest to 1\/5? (a) i (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(675))\/(sqrt(81)\/(sqrt(63)\/sqrt(7))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 22 = -m - 2*q, -13 = -2*m - 5*q. What is the common denominator of ((-13)\/(-19))\/(1\/m) and -27\/5?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/12*(0 + (-5)\/(-55))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 547, 3\/82, 0?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**7\/126 - h**6\/30 + 2*h**5\/5 - 7*h**4\/9 - 2*h - 979. Solve j(r) = 0 for r.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5478 - -2119. Let z be 303249\/90 - (50\/(-12) + 4). Let p = m + z. Calculate the common denominator of p and 62\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-12) - 18343407\/594. Let b = u - -30882. Let p = b - -1\/22. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 + 60. Does 2 divide 1088\/a*6\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 + 50*c\/3 + 200.\nAnswer: -(c - 60)*(c + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 10:19 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Suppose 0 = 5194*s - 5447*s - 1012. Sort 36, j, s.\nAnswer: s, j, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 18*o - 1. Calculate the remainder when 102 is divided by s(3).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1193*q**4 - 2*q**3 - 22076*q wrt q.\nAnswer: -14316*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247868551.\nAnswer: 271, 4604681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 11 = -t, t = -3*t - 5*m + 89. Let x be (14\/4)\/((-2)\/(-16)). Let u = x - t. Solve -3*h + w - 1 = 0, u = -h + 5*h + 2*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**(2\/33))**(1\/3)\/((n**(1\/3))**(-47)*n**(2\/19)*(n**(4\/9)*n*n)\/n) assuming n is positive.\nAnswer: n**(5903\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 56.4 and 0.10319.\nAnswer: 56.50319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 26. Let b(x) = -x**3 - 19*x**2 - 20*x - 11. Let h be b(-18). Suppose -5*z = -f*z + h. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 14. Suppose 0 = 4*a - 7*a + 2*v + 8, 3*a - 4*v + 2 = 0. Suppose -6*r = -7*r - a. Calculate i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzf when three letters picked without replacement from {r: 1, y: 5, z: 3, f: 11}.\nAnswer: 11\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by -163.\nAnswer: -55\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2327, -2437, -2703, -3203, -4015, -5217?\n\"Answer: -13*l**3 - 19*l - 2295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.39 rounded to 0 dps?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(-1\/7))\/t)\/(t*((t\/(t\/t**(-2\/13)*t))\/t)\/t)*t**(-3)\/(t*(t*t\/(((t*t**(-1\/16)*t)\/t*t)\/t)*t)\/t))**(-2\/83) assuming t is positive.\nAnswer: t**(2571\/60424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 8:30 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107699 + -36099. What is d rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 11*w + 3*q = 2, 2*w = q + 2. Which is the second smallest value? (a) 2\/5 (b) w (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*j - 2*n, -1 = 2*j - n + 5. Let g(c) = 14*c**3 + 2*c**2 + 2*c + 1. Determine g(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 - 11?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - -12 - (-2)\/1. Solve 7 + 13 = x*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437594542 to the nearest integer?\nAnswer: 20919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*o - i - 248, -i - 27250 + 27290 = 2*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 967327?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 3. Let q(i) = -o*i - 136 + 136. Let m be q(-1). Solve -p - 5*n + 17 = -m, 0 = 4*p - n + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 2758*b + 71032.\nAnswer: (b + 26)*(b + 2732)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 6. Let k(z) = z**3 - 3*z**2 - 5*z + 6. Let c be k(d). Suppose c*r - 39 = -r. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4509 = 4*x - 2*c, -3373 = -3*x - 4*c. Suppose -9*t + 2649 + x = 0. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/5 - 456*a**4\/5 - 21938*a**3\/5 + 511956*a**2\/5 + 47851648*a\/5 + 118597440 = 0. What is a?\nAnswer: -150, -52, -17, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p + 2*p - 10*p + 12 - 2 - 9. Let m(j) = -50*j + 2. Determine 7*c(y) - 2*m(y).\nAnswer: -19*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 + (-4926)\/(-72) - 47\/(-188). Is 61 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-9 + 7 - (-7)\/2). Suppose 3*k = 2*b + 143, 2*b = 2*k - a*k + 172. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/7 or -15733?\nAnswer: -15733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 1111?\nAnswer: 1110.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -15. Let n be 0 + (2 - x) - -1. Suppose 4 + 8 = n*m. Which is the third biggest value? (a) m (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/6 + (-2 + -1)*1. Find the common denominator of 52\/i*5\/(-140)*3 and -117\/20.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -82. Suppose -3*q = -2*q - 5. Suppose -3*w + 6 = -5*h, 0 = w - 4*h - 0 + q. What is the remainder when i is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/22 - 10\/(-4). Suppose 2*l = i*k + 72, k + 74 = 2*l - k. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 5 (c) -1 (d) -683.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - -2*sqrt(135)\/sqrt(9) - 3*sqrt(60)\/sqrt(4))\/((sqrt(432)*-1)\/(2*sqrt(225))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + ((-2)\/(-1) - -1). Suppose 0*z - 87 = m*v + 5*z, -4*v - 168 = 4*z. Let o = v - -60. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 13. Let i be q(-5). Suppose 0 = i*o - 13*o. Sort 4, o, 5 in descending order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:27 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 10:46 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12968, 12979, 12998, 13025?\nAnswer: 13060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20112100211110 + -122?\nAnswer: -20112100212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -2 + (568 + 0)\/(-4)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k, 70 = 3*n + 4*k - 11. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9255 divided by -5\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1554844408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132) - 1*sqrt(132)))\/((sqrt(60)*2)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 300\/30 - (-8)\/(-4). Solve 13*p = 5*p + i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f - 7. Let n(y) = -1. Let r(w) = -6*n(w) + o(w). Let b be r(1). Suppose 13 = 3*q + 2*a, a - b*a + 13 = q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let h(y) be the first derivative of -y**3\/3 - y**2\/2 - y + 1. Let j(o) = -10*o**2 - 6*o - 6. Let t(w) = -6*h(w) + j(w). Calculate b(t(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -3. Let y be (-3)\/(-30) + (-2)\/k. Which is the third smallest value? (a) 2\/9 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m + 2 + 10*m**3 + 5*m - 11*m**2 - 9*m**3. Let t be h(10). Let u(r) = 3*r - 7. Let b be u(5). Calculate the greatest common divisor of t and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3. Let a(k) = 10*k**3 - 3*k + 2. Let h(t) = -a(t) - 6*b(t). Let s be h(1). Let i = 2 - s. Put -8, i, -2 in ascending order.\nAnswer: -8, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92906)\/410)\/103*-15.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + m - 8 = 4, 4 = l - 5*m. Sort -5, 64, l in descending order.\nAnswer: 64, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/2))\/((((b*b**(-5)*b*b)\/b)\/b)\/b)*(((b\/((b**0*b)\/b)*b)\/b)\/b)**9 assuming b is positive.\nAnswer: b**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -626057747 by -1.\nAnswer: 626057747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9)*(-24)\/(-12)*10\/(-10)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1619, -3204, -4737, -6194, -7551, -8784, -9869?\n\"Answer: 4*j**3 + 2*j**2 - 1619*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*k**2 + 990*k - 2080 = 0. What is k?\nAnswer: -208\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30366368 and 40976.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 20*n - 33. Let z = 106 - 113. Let t be r(z). Put t, -1, -4 in descending order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 417 - 218. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (6 - -6) + (-2 - (4 + -3 - 48))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -26*o**2 + 23656. Let h(g) = -7*g. What is h(v(q))?\nAnswer: 182*q**2 - 165592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 13\/(-14))\/((-2)\/8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -181210*z. Let c(d) = -8*d. Determine n(c(j)).\nAnswer: 1449680*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 7*u**2 - 6*u - 6. Let n be y(-5). Let q = n - -6. Let x = 31 + q. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 105443357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-97)\/(-36) - 9\/3 - (-15)\/20\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.4 + 18.4. Which is the nearest to s? (a) 0.06 (b) 0 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 8*w**2 + 12*w + 3. Let h be q(6). Suppose 0 = h*x - 15*x - 60. What is the third smallest value in 1\/4, x, 2\/41?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7443, -1063, 3 in ascending order.\nAnswer: -1063, 3, 7443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -3*o**2 - 1\/1680*o**7 + 1\/32*o**4 - 1\/160*o**6 + 0 + 5\/48*o**3 - 14*o - 1\/120*o**5. Factor c(q).\nAnswer: -(q - 1)*(q + 1)**2*(q + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*t = 359 - 93 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 182160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45c + -35?\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-145)\/(-35) - ((-4)\/2 + 8 + -2). Which is the fifth smallest value? (a) -1 (b) -2\/5 (c) 4 (d) -0.5 (e) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {u: 2, o: 4, n: 2, j: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7470268352?\nAnswer: 2, 116722943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 879340*j**4 + 106243*j + 2?\nAnswer: 10552080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2751272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 10*l**3 + 8*l**3 + 4*l**2 + 16*l - 3*l**2 to the form f*l**2 + p*l + m + a*l**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(26\/(-39)*3)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 - 4*c**2 - 36*c - 4. Let y(i) = -3*i**3 - 5*i**2 - 35*i - 5. What is 5*j(k) - 4*y(k)?\nAnswer: -3*k**3 - 40*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 40*b**2 + 7*b**3 - 394 - 7*b**3 + 39*b**2 - b**3.\nAnswer: -b**3 - b**2 - 394","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - (-51 - -50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328*x + 111969 = -1543*x for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/73838278 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**2 + 4. Let h(s) = -7*s**2 - s - 5. Determine -5*c(k) - 4*h(k).\nAnswer: -2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 193*t + 22 - 104 - 75 wrt t.\nAnswer: 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95927902 and 518.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 3*w + 2. Let g be t(2). Suppose g*a - 2*a = 30. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {z: 1, j: 3, g: 3, k: 1, a: 1, r: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 a factor of 815724720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -7. Suppose -2*t = 192 - 184. Let d be 48\/18*(-9)\/t. Which is smaller: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1311796287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -17*j**3\/2 - 180*j - 1. Let y(m) = 17*m. Give -6*c(q) - 17*y(q).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -9310.6316 to the nearest one hundred.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, -15.\nAnswer: -15, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/11)\/w**23 assuming w is positive.\nAnswer: w**(-251\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f - 2. Let c be 4 + -4 + (-2 - 0). Let u(k) = 2*k**2 + 5*k - 5. Give c*u(h) + 5*r(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, -2\/3, 2\/9.\nAnswer: -2\/3, 2\/9, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 27*w**2 - 25*w - 54. Let f be d(28). Find the third derivative of 15*t**5 - f*t**2 + 3731*t**4 - 3731*t**4 wrt t.\nAnswer: 900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 0 + 4*w**2 + 5*w - 1. Is d(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + -2 + -1 - 4) + (15 - (12 + 8)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27288 - 50096. Is (-1)\/(-4) - p\/32 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-1))\/(1\/(-39)). Let y = -21 + w. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13 - 27*n**3 - 3*n**2 + 3*n**2 - 27 wrt n.\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 4*y**2)*((-2 + 0 + 4)*(3*y - y - 3*y) - 3*y + 3*y - y - 3*y + 0*y + y + 5*y - y - 2*y - 2 + 2*y + 2 + 7*y - 18 + 18).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 70*b + 69.\nAnswer: (b + 1)*(b + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*h - 2287 + 943. Let f be 5*26 + (0 - -1). Let z = h + f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 8, 5 in increasing order.\nAnswer: -5, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 22221?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 13*u**8\/840 - u**6\/120 + 7*u**3\/3 - 22. Let l(z) be the third derivative of p(z). Find the third derivative of l(j) wrt j.\nAnswer: 624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*d - 568, 4*b = b + 4*d - 343. Suppose 4*u = -12, 6*w - 2*u = 5*w + 216. Let n = w + b. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12500 + -7108. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 4\/11)\/2. What is the closest to 9 in -3, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8046*a*n**3 - a + 335*n**3 - 307*n + 1546 wrt n.\nAnswer: 48276*a*n + 2010*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 5*v - 6. Let o be y(-3). Let h = o - -16. What is the highest common factor of 143 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (279 + 321*y - 135 - 144)*(2 - 3 - 1).\nAnswer: -642*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*v - 7, -4*v + 4*w = -w - 13. Let z be 2\/(-11) - (-5762)\/473. Solve 0 = -r - v*r + z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -280 - -285. Solve 0*n = h*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p**2 - 7*p**2 - 24*p**2)*(-3*p - 2*p + 3*p) - 49*p**2 - 5*p**3 + 49*p**2 in the form r*p**2 + g + j*p**3 + b*p and give j.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 558*u + 3900. Determine f(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22565.262 months in centuries?\nAnswer: 18.804385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 68. Suppose -3*o + o = 2*g - 130, 0 = -3*g + u*o + 165. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -52. Suppose -o*y - 2*y = 4. Let z = -20 + 21. Which is the nearest to z? (a) -1\/7 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11692065 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 29. Suppose c - 84 + r = 0. List the prime factors of c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*v = -569*v - 348 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 81 = -32*d. Which is greater: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009258 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 322.521 + -322.3. Sort 0.02, k, 1 in ascending order.\nAnswer: 0.02, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - 28*u + 1. Let n be b(-7). Let r be (n - 3) + 3 + -300999 + -2. Round r to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2920 and 8435150?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 939 and 946 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 37. Let g be 2*(h + 4 + -43). Let k = g - -148. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56182 + 81439. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2520 is divided by 71.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 1:16 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1585, -1910, -2185, -2410, -2585, -2710?\n\"Answer: 25*r**2 - 400*r - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661033.\nAnswer: 173, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*g = 24, 0*g + 8 = 2*g. Let q be 0 + o\/2 + 3. Which is bigger: q or -1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 2. Suppose -38 = -u - 93. Let a = 53 + u. Let q(z) be the second derivative of -z**3\/2 + 2*z**2 + z. Give a*q(k) + 5*o(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8230 = -5760*z - 621*z + 355652 - 63975 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.1686?\nAnswer: -0.3372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 31. Let i = 8 - f. Solve -3*p = k + 2, 0 = 2*p - i*k - 3*k - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -31. Let x = g + -6. Suppose -2*b + 4 = x*w, -2*w + 3*w - 4*b - 6 = 0. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 196, 624, 0 in decreasing order.\nAnswer: 624, 196, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g + 118. Calculate n(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -29019, -7 in decreasing order.\nAnswer: 5, 4, -7, -29019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/60*105\/20)\/1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3*w**3 - 10*h**3*w - 675*h*w**4 - 6*w wrt w?\nAnswer: -12*h**3*w - 8100*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1504, 1504, 1494, 1468, 1420, 1344, 1234, 1084?\n\"Answer: -g**3 + g**2 + 4*g + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 355\/(-71)*(-12)\/10. Sort -13, -3, 4, q in ascending order.\nAnswer: -13, -3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + ((-16)\/(-4) - 1). Suppose -4*x + x + 903 = f. Suppose 37 = -3*w + x. Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*z + 530 = 5*z, -z + 409 = 4*r. List the prime factors of r.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x**3 + 14*x**2 - 4*x + 5. Let q(y) = -14*y**3 + 15*y**2 - 4*y + 6. Let s(t) = -6*d(t) + 5*q(t). Factor s(g).\nAnswer: g*(g - 4)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -598?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (109*555\/5)\/1. Suppose 4*j - r - 3901 = 0. What is j rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -0.18664541224?\nAnswer: 0.18664541224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3979 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(133)\/sqrt(343) + -6*4*sqrt(190)\/(sqrt(80)\/sqrt(8)))**2.\nAnswer: 2004*sqrt(19)\/7 + 531655\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from nnuvvppupuuu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {e: 3, b: 1, d: 9, l: 1}?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 o when three letters picked without replacement from uuiuuoooouoiuu.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + (2 - 1 + 1)*(-3 + 3 + 1))*(-5*g**3 + g**3 + 3*g**3).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29.91, -0.1, 5, 4.8 in ascending order.\nAnswer: -29.91, -0.1, 1, 4.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 273 = 2655. Let s be 24\/(-12) - r\/46. Let k = -14 + s. Which is the smallest value? (a) -2\/3 (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 10*r. Let u be t(-15). What is the greatest common factor of u and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75114?\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -595 + 1043. Let c be (42\/(-28))\/((-2)\/v*1). What is the highest common divisor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -27. Let u = j + -20. Is u > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581, 582, 585, 590, 597, 606, 617?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68488 and 3486?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1. Let r(u) = 2*u - 5. Let j(k) = -k**3 - 4*k**2 + 5*k - 1. Let o be j(-5). Suppose c = -20 - 20. Let p be 18\/10*c\/(-12). What is o*r(y) + p*h(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 1. Let n(t) = 2*t**2 + 23*t + 12. Let s be n(-11). Let b(w) = w + 2. Give s*b(h) + 3*p(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/9)\/(2\/9). Let c = l + -36. What is c rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431304 = 7*a - 431059 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*h - 2*h, -4*x + 5*h + 11 = 0. Let t = 0.6 + -0.52. Let m = t - -3.92. Which is the third smallest value? (a) x (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -314*y**3 - 10*y**2 - 4*y - 8. Let l be i(-4). Let b = -558333\/28 + l. Calculate the common denominator of b and 47\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(343) + 0 + sqrt(343) - (5 + 1*sqrt(343))) - (-1 + sqrt(343) + (sqrt(343)*-1 + sqrt(343))*-1 + 5))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.343963086 + 533.\nAnswer: 533.343963086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 12d?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q - 7. Let y(i) = 171*i - 3045. Calculate s(y(z)).\nAnswer: -1026*z + 18263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 3, 2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + -21 + 62 + -28)\/((-30)\/(-14)).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5785 = 407*w - 1209*w + 25234 + 27869 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -13. Let r = 2 + o. Let d be (-11829986)\/(-91) - r\/26. What is d rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-4 + 70\/16). Let m = k - -14. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z. Suppose 42 = 5*b + 4*g - z*g, 5*g = 5*b - 15. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 12. Let j be z(-9). Let q be 70\/52 - 4\/(-26). Which is the third smallest value? (a) 1 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 c when four letters picked without replacement from kkokocckckckc?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247.753538 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 95.9. Let f = b + -5.47. Let j = f - -2.471. What is j rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (68\/102 + (-1)\/(-3))*2681\/(-889)\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = -4*o - o, -4*h + 24 = o. Suppose 3*g = 2*z, 2*g + z = g - 5. Is (g\/h)\/(1\/(-33)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5*w + 1024*j**4*w - 2*j**2*w + 458*w wrt j.\nAnswer: -120*j**2*w + 24576*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpggpgvwggwg. What is prob of sequence wwv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/(2\/(-40)). Let z be 4\/(-20) + 48\/n. Let r be 2 + -10*(z + 4). Solve 0*g - 3*a + r = -4*g, 2*g + a = -6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**8)*m)\/m)**1*((m\/(m**(6\/17)*m*m*m))\/m*m)\/(m\/m**(2\/17)))**(-4\/11) assuming m is positive.\nAnswer: m**(764\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 - 135*k**4 - 1224*k**3 - 2544*k**2.\nAnswer: 3*k**2*(k - 53)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((13*j**2 + j**2 - 4*j**2)*(5*j - 5*j + j) - 2*j**3 - 2*j**3 - j**3)*(7*j**2 - 21*j**2 - 10*j**2).\nAnswer: -120*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/20 + 5*i**4\/24 + 6*i**2. Let b(g) be the first derivative of -4*g**3\/3 - 3*g**2 - 1. What is -5*b(z) - 6*o(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0*q + 0*q)*(-3 + 1 + 4) + 0*q - 4*q - 2*q + (-4*q + q + 7*q)*(-5 + 2 + 1)*(5 - 4 - 4) as p + t*q and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 423265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 150, 193, 252, 327, 418, 525?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 7. Let r be (12\/10)\/(12\/(-40)). Let u be b(r). Let o(z) = 6*z**2 - z + 3. Let c be o(u). What is the greatest common factor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 58 = -i, 2*i = 3*s - 4*s - 136. Suppose 4*g - 16 = 4*p + 176, 57 = -p + 4*g. Let u = p - i. What is the greatest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-455)\/(-25) - (59 - (-1880)\/(-47))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -7. Let f be (0 - 4\/6) + 1. What is the third smallest value in f, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476 or 89838?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**3 - 5*w**2 + 2*w - 3. Let s be c(5). Let r be s\/3 + (-2)\/(-3) - -1. Let k = r - 106. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-7))\/((-2)\/4). Let r be 56\/(-868) - (-363)\/341. What is the closest to r in 2\/9, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 412415 (base 7) to base 9\nAnswer: 116658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 5}. Give prob of sequence dpd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(2 + (-14)\/4). Suppose -p*z = -8*z + 20. Let m(d) = d**2 - d + 1. Let x(k) = k**3 - 5*k**2 + 2*k - 4. Determine z*m(j) + x(j).\nAnswer: j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*a - 9. Let d = -10 + 10. Sort -3, a, d.\nAnswer: a, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16914 - -16913.999982488. What is c rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -2*u**5\/5 - 8*u**4\/3 - 2*u**2 - 14*u. What is the second derivative of f(g) wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4400 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 444373 or 3554985\/8?\nAnswer: 444373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7798 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 728 - 725 = 3*a, x = 3*a + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5 + x + 14 - 3*x. Let g be o(0). Suppose g = 5*m - 1. Solve -2 + 10 = -m*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(-105) - (-13)\/10 - (-215)\/(-130). Which is the nearest to -2? (a) m (b) 1 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + -1001?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-5)*q*q**(-8\/3)\/q assuming q is positive.\nAnswer: q**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.097 and 0.6.\nAnswer: 0.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 4, 0, 2 in decreasing order.\nAnswer: 4, 2, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9226 + -2406. Suppose 5*l + 4*x - x = 8547, -4*l + 2*x + d = 0. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*z + 11. Suppose -5*t + 73 = -4*a + 2*a, -2*t + 28 = -2*a. Suppose 13*v - 11 = t. Solve 0 = -5*j + x + 27, 0*j + v*j = 5*x + z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 58.33. Let s = l + 0. Let o = s + 0.272. What is o rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 5*z + 3*z)*(25*z + 1057*z**2 - 4*z + 103 + 11*z - 1059*z**2).\nAnswer: -8*z**3 + 128*z**2 + 412*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*q**3 + 65*q**2 + 175*q.\nAnswer: -5*q*(q - 5)*(4*q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113917.\nAnswer: 17, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**6\/30 - 29*i**3\/6 + 41*i**2\/2 + 45*i. What is the derivative of a(z) wrt z?\nAnswer: 4*z**3 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/11 and 44\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251253*m*r**2 - 172553*m*r + r**2 wrt r.\nAnswer: -502506*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 10 + 6 = -4*g, g - 3*v = -4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 6*b - 10. Determine c(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7542 is divided by 1168?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.24459 to 2 dps.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 4*t**2 + 4*t**2)*(-5*t + 3*t + 4*t) - t**3 + 2*t**3 + 0*t**3 - 17*t**3 + 246*t**2 - 246*t**2.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 + -13 + 23 + 128 + -106\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 10:32 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a4a4 + 3?\nAnswer: -6a4a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 741, 792, 873, 984, 1125?\n\"Answer: 15*z**2 + 6*z + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2610604*w + 2610235*w + 33579 = 0 for w.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 6:27 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707387 divided by 218.\nAnswer: 707387\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-16) - 7\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 6*s**2 + 3*s - 6. Let o be v(6). Suppose 2*l + 2*l - o = 0. Let p = l + -3. Which is the smallest value? (a) 0.3 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w - 93*w + 12 = 0. Suppose 2*v - 3*v - 15552 = r, 0 = -2*v + w*r - 31096. Round v to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10364 - 10284. Which is the nearest to 2? (a) p (b) 4\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 1, c: 2}. Give prob of picking 1 z and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8440.3+5.046\nAnswer: 8445.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.732133 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = t - 6, -20 - 7 = 2*t + 5*k. Let h = t + 31. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g + 75. Let w be r(0). Let q be (-1)\/(-4) - w\/12. What are the prime factors of q\/(-8) + (-29)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 828*i + 156960.\nAnswer: -4*(i - 120)*(i + 327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -53*v**4\/2 - v**3 - v**2\/2 - 2*v + 4. Let x be t(-6). Let u = x - 33092. Round u to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 4*p - 7. Let d be z(6). Suppose -d*b - 2*j - 10 = -4*b, 1 = -b + j. Let a(u) = -u - 4. Let c be a(b). Solve 3*t = 3, -2*m - t = -c - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 - 90. Let q(g) = -5*g + 6. Let k(o) = -5*o + 5. Let d(v) = -4*k(v) + 3*q(v). Give d(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.09 - 19. Let d = x - -6.91. Let l = -6.99856 + d. What is l rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q + 4. Let l be v(3). What is the tens digit of (l\/(-30))\/2 + 27815\/75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-1\/12)\/(j*j**(2\/7))**(-1\/8)*((j**(-1\/4)\/j*j)**(-19\/2))**(-28) assuming j is positive.\nAnswer: j**(-3715\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gog when three letters picked without replacement from {r: 1, o: 6, g: 3, y: 3, f: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -778295, -778299, -778303, -778307, -778311, -778315?\n\"Answer: -4*z - 778291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*o + 17 + 290*o**2 - 8*o + 275*o**2 - 656*o**2 wrt o?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x**2 - 7*x. Let t be 2\/2*2 - -10. Let y = t - 5. Let w(k) = 8*k**2 - 6*k. Let o be (6\/(-8))\/(1\/8). Determine o*g(j) + y*w(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -32*w - 453, w - c + 44 + 65 = 94 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95407604 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 52 - 72 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011112202 - -100000200?\nAnswer: 11111120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = 15. Suppose -3*i + 40 = -6*i + 4*s, -3*i = -3*s + 39. What is the units digit of (4\/i)\/(1\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -524 - -954. Calculate the highest common factor of 258 and n.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 34*i + 95. Let l be b(-31). What is the smallest value in l, -33, -7?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 2\/7, -5.7.\nAnswer: -5.7, 2\/7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*l - l - 2*o, 5 = -4*l - 5*o. Let s be -2 - 15\/l - (1 + 0). Let y = -1.6 + 2. What is the nearest to s in -0.06, 3, y?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Suppose y*m - 32 = -5*r, -3*r - m + 3*m = -16. Suppose 3*s - 2 - 13 = 0. Solve s*f - 9 = r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 38 + 1)*(-5*l + l + 3*l).\nAnswer: 67*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.519 - -0.481. Let w = 7 + -1. Which is greater: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2*w + 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 988113811 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175 + -3?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 16 = 0. Suppose 0 = -0*h - h + 9*h. Solve -16 = -h*a + w*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 745333 (base 11) to base 8\nAnswer: 4432017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, d: 6, p: 6}. What is prob of sequence dpp?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 89?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33592529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76656 + -43535. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3520000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/16*30\/(-27)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 5*l = 15*b + 71071, -4 = -l. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o - 52*o**2 + 68*o - 2*o**3 - 41*o to the form r*o**2 + l*o + x*o**3 + a and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42a - 0?\nAnswer: -42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 55. Let s be -2*1*(-6)\/l. Suppose -10\/11*j + 4\/11 - s*j**2 = 0. Calculate j.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 + 104*c\/9 + 1352\/9.\nAnswer: 2*(c + 26)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 58 = 5*v + o, 5*v - 48 = 4*o. Find the third derivative of -v*j**2 + 8*j**3 + 17*j**2 + 56*j**3 + 51*j**2 wrt j.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i - 4*b + 8, -5*i + b + 70 = 0. Let j be (6\/7)\/(2\/i). Let w(x) = x**3 - x**2 - 9*x - 2. Let v be w(4). Solve -g + j*g - v = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59094949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 + s**2 + 2*s + 3. Is 11 a factor of t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*y + 70 + 26 = 0, 3*x - y = 72. Suppose 2*c + 6 = -8. Let p = c + x. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -758, 0, -112, 3 in descending order.\nAnswer: 3, 0, -112, -758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Suppose -2*b = -3*d - 30, 2*b + 2*b = d + 40. Calculate the least common multiple of f and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28541 - -42498. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*s - 10 - 40 = 0, 68 = 5*q + s. Calculate the highest common factor of q and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*o + 2*o - 25, 3*q = 5*o - 23. Let v = -1072 + 1069. Which is the smallest value? (a) -4 (b) v (c) 5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f**3 + 2*f + 1. Let k = 20 + -21. Let u be z(k). Solve 2*s = 3*t + s + u, -3*t + 2*s = 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177403, -177488, -177635, -177844, -178115, -178448?\nAnswer: -178843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 2*y**3 + y**4 + y - 4*y as t + c*y + g*y**3 + w*y**2 + a*y**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:29 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, t: 1, q: 1, b: 5}. What is prob of picking 1 q, 1 x, and 1 b?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -30. Put 133, 3, h, 5 in decreasing order.\nAnswer: 133, 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 8:11 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -306*i + 601. Determine x(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-68)\/(-2))\/(-9 - -11). Does 15 divide 1*3 - (-10 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**6\/30 + 3*u**5\/5 + 4*u**4 + 40*u**3\/3 + 24*u**2 + 317*u. Factor t(c).\nAnswer: (c + 2)**3*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -258273, 2, -3, 5 in ascending order.\nAnswer: -258273, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + -4 + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1692 and 15.64.\nAnswer: 26462.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3 (c) -4 (d) 5 (e) 14\/11 (f) -2.01 (g) -21\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/(-312) - 4\/(-26).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/8762 - -13141\/17524. Which is the smallest value? (a) 1\/6 (b) -0.5 (c) r (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121d3 (base 14) in base 9?\nAnswer: 66665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/4004180 and -37\/68306600?\nAnswer: 1161212200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80\/(-96)*((-1 - 0) + -5) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 2*f + 3, -52*h + 57*h - 3*f = -24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*s + 6567 - 17112 = 16995 for s.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274118684 to the power of 1\/2, to the nearest integer?\nAnswer: 16557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73.3 - -87.33.\nAnswer: 14.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 795018 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:19 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7967, 16034, 24279, 32792, 41663, 50982, 60839?\n\"Answer: 15*j**3 - j**2 + 7965*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 335 + 29 + 165 - 5 - 562*u**3 + 9 - u**2 wrt u?\nAnswer: -3372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0 + 4. Suppose 4*y = -f*j - 176, -y + 3*y - 4*j + 82 = 0. Let c = -23 - y. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:08 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q. Let m(d) = 3*d + 2. Suppose -19 = -3*g - 25. Let i(w) = w - 1. Let u(s) = g*i(s) - m(s). Give u(k(y)).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(45)*-6)**2.\nAnswer: 108*sqrt(5) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37375 divided by -1625.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/b**(-6))\/(b**(-1\/3)*b\/(b*b**(-5)\/b)))**(-1\/12) assuming b is positive.\nAnswer: b**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + ((-40)\/14)\/((-8)\/56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161987451 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -218 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 971500 + 103123500. Round p to the nearest 1000000.\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -135. Is w less than or equal to 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24736271*o**3 + 33201*o**2 - 130*o + 1 wrt o?\nAnswer: -148417626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20885 - 134937984\/6461. Let i = -820529\/116298 - l. Calculate the common denominator of i and ((-332)\/42)\/((-4)\/3).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + 12*f + 11*f)*(-2*f + f + 3 - f)*(-1 + 1 + 1).\nAnswer: -34*f**2 + 51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/7 of a week in minutes?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -70. Let t(q) = 0*q + 51*q**2 - 3*q + q**3 - 50*q**2. Let o be t(-2). Solve d + g*d - 5*u = -22, -d - o = u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c*c)\/c**(-2)*(c*c*c*c**2\/c)**(-5\/2) assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y - 1. Let v(z) = 1. Let c(i) = -g(i) - v(i). Let o(p) = -p**2. What is c(o(x))?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321360 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-20)*((-15)\/(-2) - 0). Let r(v) = -2*v**3 + 3*v**2 + v - 4. Determine r(j).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/11 - 6*f**4\/11 - 30*f**3\/11 - 34*f**2\/11 - 12*f\/11 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 879683.8m?\nAnswer: 879.6838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-14)\/(-3). Let h = -5.37 + 5.57. Put d, -2, h in increasing order.\nAnswer: -2, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 159010, 316622, 474234?\n\"Answer: 157612*i + 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) + sqrt(5) + -1 + -4 + (-2*sqrt(320) - sqrt(320)) + 2))**2.\nAnswer: 3300*sqrt(5) + 60725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 7 + 10*d**2 + 0 + 0*d - d.\nAnswer: 10*d**2 - 6*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 0.3 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 82*u + 77*u + 24 = 0, 15*c = -4*u - u - 80 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 225894 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 1 h when three letters picked without replacement from {x: 1, l: 3, o: 5, h: 3, d: 3}?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (1 + -2)) + -24 + (-17 - -45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10503 + 7060?\nAnswer: 17563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 + 2*j**2 - 19098*j + 19098*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13379107*y**5 + 10995777*y**2 wrt y?\nAnswer: -802746420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqqq when four letters picked without replacement from {q: 3, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1391\/10 + 139. Let w be 8\/20*7\/2. Let q = t - w. What is the biggest value in q, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2025 and 0.1.\nAnswer: -202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6655 and 127043950?\nAnswer: 127043950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 0) + (1 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 2936752*t**2 - 5873516*t + 2936760.\nAnswer: 4*(t - 1)**2*(t + 734190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 2*h**2 - 1. Let a(u) = -694*u**3 + 2*u**2 - 889*u - 1. Let t(b) = -a(b) + v(b). Find the second derivative of t(y) wrt y.\nAnswer: 4176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 98*r**2 + 11*r + 43. Let t be k(-5). Suppose t - 19250 = -12*h. List the prime factors of h.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(1050\/(-1340)))\/(((-16)\/(-4))\/(24\/(-4)))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47999, -192055, -432169, -768341, -1200571?\nAnswer: -1728859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 13*z**2 + 4*z - 6. Let a be o(-6). Solve -d = a - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 31*m**2 - 3*m. Let w(a) = 17 - a + 0*a - a - 17. Give b(w(q)).\nAnswer: 124*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 40?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8248 - -8254. Let a(j) = -j - 7. Give a(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -3. Let j(f) = w*f + 0 - f + 1. Let p = 0 - -1. Give j(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(612)*3 + sqrt(612))**2 + -3.\nAnswer: 192*sqrt(17) + 9805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*a = -0*a - 4, -11 = 3*h + 5*a. Suppose -5*y = h*u - 2*u - 50, -2*u = 2*y - 116. Suppose -4*d - 2*n = -70, 5*d + 2*n - u = 29. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*k + 201*k + 58 = 2*o, -2*k - 4*o = 4 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 2*c - 3*c + (-4*c - c + 6*c)*(-2 + 3 - 2) - 2*c - 1 + 1 + 4*c - c - c - 31 + 31 - 58*c - 4 + 2*c + 4)*(c + 2*c - c).\nAnswer: -110*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 83?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54974, -55112, -55344, -55670?\nAnswer: -56090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13b (base 14) in base 6?\nAnswer: -1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1572715747 to the nearest integer?\nAnswer: 39657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 11713.28.\nAnswer: 11713.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*z**2 - 4*z**3 + 8*z - 323 + 3*z - 2*z + 2*z**2 wrt z.\nAnswer: -12*z**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 6*b**2 - 15*b**2 + 6*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*-1 + 0)*6 + -5)*-5.\nAnswer: 25 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12*15\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -323, -315, -307, -299, -291, -283?\n\"Answer: 8*h - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 85*s**2 - 60*s - 1809. Give u(86).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -1\/2*v**2 - 3*v + 2. Let p = 4 - 1. Calculate a(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -4, 4\/5, 0.3, 7\/5, 8 in descending order.\nAnswer: 8, 7\/5, 4\/5, 0.3, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 96046337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -172?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/(3\/10). Suppose -4*a = -0*a + 32. Is 36\/a*-1*l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let s = 5 - v. Factor x + 4*x**2 + x**s - 3*x - 3*x**3.\nAnswer: -2*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f, 3*m + m - 4*f = 1956. Let w = m - 305. Let t be 4\/(-18) - w\/(-81). Solve -t*s + 2 = -0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15456 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.6? (a) 4 (b) -9 (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95412305 to the nearest integer?\nAnswer: 9768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - t + 1. Let i be p(2). Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4928900?\nAnswer: 2, 5, 23, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225422328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2. Suppose 5*d - 4 = 3*g + 3, -2*g - 8 = -5*d. Let u = -2 - 0. Let j = g + u. Determine r(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 140 = -0*t. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-228)\/120 + -6. Let g(f) be the first derivative of -3 + 0*f**4 + 0*f + 2\/3*f**6 - 2*f**2 + 8\/3*f**3 - q*f**5. Factor g(v).\nAnswer: 4*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847160 to the power of 1\/2, to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 51*c = -46*c + 17, 5*h - 13 = 2*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 11*i**2 - 6*i - 10. Determine t(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/653, 22.2, -2?\nAnswer: -5\/653","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 + 39\/(-18)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - 210. Let x = m + 334.6. What is x rounded to 1 decimal place?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 33, 17, -7?\n\"Answer: -4*l**2 + 4*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25*(-10)\/(-25)*3*(-5)\/(-6). Solve -i*f - 23 - 27 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4319, 17310, 38967, 69284, 108255, 155874?\n\"Answer: -w**3 + 4339*w**2 - 19*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.23?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4\/11 - 240*h**3\/11 + 236*h**2\/11 + 240*h\/11 - 238\/11 = 0.\nAnswer: -1, 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*b*f**2*l**2 + 5*b*f**2 - 2*b*f*l**2 - 2*b*l**2 - 788*f**2*l**2 - 1482*f*l**2 wrt f?\nAnswer: -38*b*l**2 + 10*b - 1576*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*w - d, -4*w - 3*d + 14 = -3*w. Let o = 5 - w. Solve 2*p = -o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(180)*1 + 2)*-3)**2.\nAnswer: 432*sqrt(5) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 7. Let j = 0.01 + -4.01. Let r = -3677 - -3681. What is the second biggest value in r, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-8 + (-1 - (-9 + 6)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-33) + (-180)\/(-99) + 2. Solve 2*m = -j*p - 18, 4*m - 3*p = -m - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019286731.\nAnswer: 17, 3011, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -53. Is -4 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, s: 3, a: 2, x: 1}. Give prob of sequence xtsa.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111100 - -11010011011?\nAnswer: 10111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqmrb. Give prob of picking 1 r and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 2, l: 1, d: 1, a: 2, h: 2}. Give prob of sequence xah.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -317*p**6\/40 - p**5\/20 + p**3\/6 + 45*p**2 + 4. Find the third derivative of g(z) wrt z.\nAnswer: -5706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*1*5\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.45507 rounded to 1 dp?\nAnswer: -305.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(110)*1*-1)\/(-3*sqrt(10)*-1) + sqrt(121)\/(sqrt(1331)*4) + -2).\nAnswer: 41*sqrt(11)\/66 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/44? (a) -2\/127 (b) 3 (c) -4 (d) 207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.09 + 3. Let t = s - 0.01. What is the third biggest value in t, -2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23613 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2690\/4 + (-135)\/90 - -1. Calculate the greatest common divisor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1361427084 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*3*-6)\/(2*sqrt(847)*2).\nAnswer: -18*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:50 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - f + 2. Let n(t) = 3*t**2 - t + 2. Let g(o) = -4*l(o) + 3*n(o). Let a be g(0). What are the prime factors of (1\/(-2))\/(a\/68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 15*y**2. Suppose 0*s + 230 = f - 3*s, 2*f - s - 470 = 0. Let k(v) = -f*v**2 + 454*v**2 - 228*v**2. Determine k(x(w)).\nAnswer: -2250*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 10*i - 26. What is the closest to 1 in 2\/5, -0.3, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.14083 litres to millilitres.\nAnswer: 33140.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b + 15. Find the third derivative of 16*c**b - c**3 - 11*c**2 - 9*c**2 wrt c.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.553689 decades?\nAnswer: 0.08553689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -4)\/((-4)\/54). Suppose w - 4*w = -d. Let y(u) = -6578*u - 39464. Calculate the smallest common multiple of y(-6) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -13*j - 183. Give z(21).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 3. Let l be p(3). Let x = -13 + l. Let d = -1 - x. Calculate the greatest common factor of 24 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 2*n - 1. Let z(a) = -a**2 + a + 1. Let j(l) = -2*p(l) - 3*z(l). Determine j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 491 = -26*t - 334, -29 = -3*s - 2*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 341\/5 + 2\/(-10). Suppose -3*g + r = -2*t, -t + 4*t = 4*g - 90. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -6. Let o be (-2)\/4*t - -1. Is ((-10)\/o)\/((-2)\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585341548 a multiple of 11149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Suppose 14 = 5*f - 1. Let r(y) = -2*y**2 - 3*y**2 + f*y**2. What is p(r(c))?\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 1. Let x(m) = -m. Let j(g) = 5*x(g) - y(g). Determine j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5464.69 - 0.138.\nAnswer: -5464.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = -0*z - 3*z + 35*n - 247, -8 = -2*n - n + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.140055 to 2 dps.\nAnswer: -19.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 0 + 2*t + 3\/2*t**3 - 2*t**2 - 1\/12*t**4. Calculate the remainder when 14 is divided by l(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33280 and 61312.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -89*c**2 + 130*c - 130. Calculate l(1).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -4) + 10 - (-1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q*s**4 - 3*q*s**2 - 9*q*s - q + 51*s**3 + 9*s wrt s.\nAnswer: 12*q*s**2 - 6*q + 306*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = 2*m + 14, -3*k = -3*m - 18. Let f = 3 - m. Solve 2*b = -3*j - 4, -j - 4 = f*b - 2*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32587991*y**2 + 112*y - 67630 wrt y.\nAnswer: 65175982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.32807.\nAnswer: -0.98421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*b**3 - 20026*b**2 - 238674 wrt b?\nAnswer: -42*b**2 - 40052*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3314837, 6629674, 9944513, 13259354, 16574197?\nAnswer: 19889042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3477708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o + 3. Let m be u(6). Suppose 0 = 2*v + g - 3*g - 28, 0 = -m*v - g + 50. Calculate the greatest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 9 + 1 = 0. Sort 8, o, -4.\nAnswer: o, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432422 (base 5) to base 7.\nAnswer: 60652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s. Let a(z) = -14*z**2. Give p(a(t)).\nAnswer: 182*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) 2\/41 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6126 and 12?\nAnswer: 6138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1846, 3608, 5370, 7132, 8894, 10656?\n\"Answer: 1762*s + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-77)\/(-429))\/((-1)\/(-861)). Let c = 155 - y. Is c bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 85\/6*o**3 - 116*o - 5\/2*o**7 + 0 + 35\/2*o**4 - 5*o**2 - 20\/3*o**6 + o**5. Determine v so that h(v) = 0.\nAnswer: -1, 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13875*u**3 - 4535*u**2 - 30*u.\nAnswer: 5*u*(3*u - 1)*(925*u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 at most 34398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*b + 314*b + 187*b - 268*b.\nAnswer: 635*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2556\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 25*r**3 - 9*r**2 + 7*r + 10. Let u(i) = -2*i**3 + 3*i**2 - 2*i - 4. Let b(s) = a(s) + 2*u(s). Suppose 0*x + 2*x = 4. What is the tens digit of b(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/540 - 7*i**5\/135 - 5*i**4\/36 + 63*i**2. Factor m(l).\nAnswer: 2*l*(l - 15)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {w: 1, z: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -869, -1736, -2603?\n\"Answer: -867*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 22263998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54334 and 7762.\nAnswer: 54334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 4 - 4 + (-2*m**2 + m**2 - m**2)*(m + 0*m - 2*m) + 1 - 1 + 3*m**3 + 0*m**3 - m**3 - m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25786, -51602, -77446, -103318, -129218, -155146?\nAnswer: -181102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 9*l**2 + 11*l + 13. Let a be r(-10). Suppose v = 1, a*v + 77 = -3*g + 299. What are the prime factors of g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 232*q**2 + 38*q. Let d(z) = 2*z**2. What is m(d(p))?\nAnswer: 928*p**4 + 76*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1320, 0.2, -0.5, 4, -5, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3648996 divided by 52884.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 418 - 406. Suppose -4*k = -0*k - n, 3*k = -x + 536. List the prime factors of x.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 0*y**2 + y**2 - 3 + 3 + 1. Let x be q(-1). Solve 2*n + 0*n = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -237 - (111 + -338 + 115)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/18546 and 95\/24728?\nAnswer: 74184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45 - 1)\/(9 + 3 + -10). Let v be 114\/22 - (-26)\/(-143). Which is the closest to p? (a) -5 (b) v (c) -2\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -10\/13 (b) 900 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250538 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 3*a + a)*(-a + 1 - 1) + 3*a - 3*a - 4*a**2 + (-2 + 2 - 2)*(2*a - 2*a - 2*a**2) in the form u + m*a**2 + s*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2821 + -265381.8?\nAnswer: -268202.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -455*y**3*z + 49*y**3 + 8*y**2 - 117*y*z**2 - 3*y + 5 wrt z?\nAnswer: -455*y**3 - 234*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -56?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**8\/6720 + s**6\/240 + s**5\/20 - 2*s**2. Let d(m) be the third derivative of b(m). Differentiate d(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 450700 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 45 = -6*n. Let o(m) = m**2 - 5*m + 4. What is o(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7*p + 32. Let y be q(-10). Suppose -2*c = -i + 11 + 6, -5*i - y*c = -25. Solve -i*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyf when three letters picked without replacement from {e: 3, b: 3, y: 1, t: 2, f: 2, g: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 8994\nAnswer: -44970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2. Let i be (-10)\/(-8) + (-21)\/(-28). Let r(g) = 2*g - i*g + 0*g + 3*g**2. What is l(r(u))?\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54791 and 164711708?\nAnswer: 1811828788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 12*h - 18. Let p be y(16). Let k = 8 + p. Let g = k - 29. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 7. Let i be j(-11). Which is the closest to 0.1? (a) 0.5 (b) 1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171*d**2 + 1 + 150*d - 173*d**2 - 32*d - 2*d**3 + 32*d - 7*d**4 to u*d**3 + m + h*d**4 + z*d**2 + t*d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 100110000000000101011 (base 2) to base 15\nAnswer: 198e52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**3 - 3*n**2 + n + 2. Let a be m(2). Let t be (a\/(-25))\/((-2)\/5). Suppose -4*j + t = -16. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389160 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 0.2211642?\nAnswer: 0.7788358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 - 122*w**2 + 124*w = 0. What is w?\nAnswer: -62, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64)\/80*5\/(-2). Suppose 0 = 2*f - 4*g + 1 - 3, 2*f - u*g - 10 = 0. Differentiate 2*i + f - 5*i - 9*i with respect to i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 + 2 = 0. Suppose -k = o*k. Let t = 8 - k. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 186, 283?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 30. Does 13 divide (92\/(-24))\/((-3)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 7*v + 9. Let s = -5 - -11. Let o be i(s). Suppose -2*n + 31 = -6*w + o*w, -4*n = -5*w - 59. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**2\/x))**12\/((x\/(x\/x**(-22\/7)*x))\/x*x\/x**(-1\/9)))**(4\/3) assuming x is positive.\nAnswer: x**(1016\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/60 + i**4\/24 + 3120*i**2 - i. Let o(r) be the third derivative of r**5\/4 - r**4\/2 + 2*r**2. Calculate o(v) + 12*s(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-10))\/(10\/(-75)). Suppose -29*y - 14 = -c*y. Let j = y + 45. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-25 + (-74)\/(-3))*16466*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 44 + 28 = -2*h, -3*p - 6*h + 106 = -11*h for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-18)*2*7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 4*p**5\/5 - 4*p**3 - 4*p**2 + 4. Determine l, given that y(l) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 4*l - 1. Let f be a(3). Let g = f - -6. Let p = -8 + 3. Put g, -1, p in ascending order.\nAnswer: p, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14817 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10249 + -51241\/5. Put 0.1, -2\/3, 1, l, 2\/13 in decreasing order.\nAnswer: 1, l, 2\/13, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 991.782 litres?\nAnswer: 991782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4653598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**(-7\/5)\/(j\/(j*j*(j*j\/(j\/j**(-1\/11))*j)\/j)*j*j\/j**6*j) assuming j is positive.\nAnswer: j**(501\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-25))\/((-2)\/5*2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 198, 133, 46, -63?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -29*l**2 + l + 3. Let j(o) = -24*o**2 + 2*o + 1. Calculate 5*g(u) - 6*j(u).\nAnswer: -u**2 - 7*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.018353 from -823240.49.\nAnswer: -823240.471647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 14906 + 1474. Suppose 23*f - n = 21*f. List the prime factors of f.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88613366861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-117) + (-8)\/(-221)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506 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: Let k = 2130 - 1260. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.3 + -5.4. Which is the smallest value? (a) -0.2 (b) p (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12756444.6 to the nearest ten thousand.\nAnswer: 12760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(59*q**2 - 6*q**4 - 59*q**2).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2443*m. Let t(f) be the second derivative of -f**4\/12 - 2*f - 230. Give t(i(j)).\nAnswer: -5968249*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 4*g**2 - 6*g - 2. Let q be u(-5). Suppose r = -4*b + 11, -q*b = b + 20. What is the remainder when r is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) - 6\/((-378)\/4739). What is the highest common divisor of n and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1337 = 2*s - 1063. Let w = 1934 - s. What is the units digit of w\/6 - (-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 6. Suppose -29*f - 55 = -18*f. Give l(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/11))**(-50)*o**8*(o*o\/(o*o**(-4\/5))*o)\/o assuming o is positive.\nAnswer: o**(-1711\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 9 + 3. Let r be (2 - (-208)\/(-36)) + (-2 - -6). Let m be (1 - 1)*(2 - 1). What is the biggest value in q, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3737\/1225 + 3\/4900. What is the common denominator of x and 59\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12121121221 (base 3) to base 2.\nAnswer: 11010111111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41754 is divided by 643.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*p + 2 + 20, 5*m = 2*p + 4. Solve -7 = m*d - b, 0*d + 5*b = 3*d + 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/118 - 30\/59. Let f(q) = -2*q + 6. Let n be f(5). Let h = 1667\/9 + -185. Sort n, s, h in descending order.\nAnswer: h, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/90 - a**4\/54 + 9*a + 1. Factor h(g).\nAnswer: -2*g**2*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6001 - 66455?\nAnswer: -60454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-32 + 4)) + 5 + -5 + 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -20. Suppose h = -3*j + 15. Suppose 3*l = 12, 0 = 3*z - j*l - 12 - 122. What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001680159 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3892820, -3892951, -3893310, -3894011, -3895168, -3896895, -3899306, -3902515?\n\"Answer: -19*k**3 + 2*k - 3892803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 804975617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aanannn. What is prob of sequence nna?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1220*p**2 + 2 - 374*p**3 + 605*p**2 + 616*p**2 - 393*p**3 as u*p + i + o*p**3 + v*p**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 0, -5, -3.\nAnswer: -7, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3106 - 3076. What is the greatest common divisor of z and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/15 + 13228424*h**3\/15 + 26456866*h**2\/5 + 39685308*h\/5 = 0. Calculate h.\nAnswer: -3, 0, 6614218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80862 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 20563*b + 2. Let q(u) = -u**2. Give z(q(p)).\nAnswer: -2*p**4 - 20563*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:14 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3577562?\nAnswer: 2, 953, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.374 in -3\/7, -1, -34, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 - 14*x + 4*x**3 - 31*x + 46*x - 1 to y*x**3 + h*x + d*x**2 + c and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -32*i**2 - i. Suppose -13*j = 1 + 77. Let n be 34 - (2 + j*2\/(-6)). Let k(w) = 8*w**2 + 7*w**2 + 13*w**2 - n*w**2. Give c(k(p)).\nAnswer: -128*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9801504.\nAnswer: 2, 3, 34033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c + 1. Let u be o(1). Solve 0 = -x - u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 1052, 2710, 5322, 9056, 14080?\nAnswer: 20562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -2\/7, 2\/3, -5 in increasing order.\nAnswer: -5, -2\/7, 2\/3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806038716?\nAnswer: 2, 3, 7, 659, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d + 5. Let l(b) = 8*b**2 - 14*b + 34. Let g(k) = -5*k**2 + 10*k - 22. Let j(f) = -11*g(f) - 7*l(f). What is -2*h(u) + 3*j(u)?\nAnswer: -3*u**2 - 10*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most as big as 653\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*1*3)\/((1*sqrt(12) + sqrt(12) + sqrt(12))*6).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 47*o - 88. What is b(-49)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1. Let c(y) = -5*y + 9. Let k(f) = -4*c(f) - 36*n(f). What are the prime factors of k(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Suppose 3*c - 7*c + 8 = 0. Let h(p) be the second derivative of 0*p**c - p + 0 - 1\/3*p**3. What is w(h(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**9\/756 - s**6\/180 + s**3 - 3. Let l(x) be the third derivative of m(x). What is the third derivative of l(j) wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12103904262 - 0.2.\nAnswer: -12103904262.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from {h: 2, v: 4, m: 4, u: 6, r: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(55\/10 - 5)*-22427. Suppose 8*h - 69795 = -d. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/7)*b**(-15)*b assuming b is positive.\nAnswer: b**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1 - 5.5. Which is the nearest to 2\/7? (a) q (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 497307 divided by 3527\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2 - 7*v - 1. What is i(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (5 - 9)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -1743, -3585, -6065, -9177, -12915, -17273, -22245?\nAnswer: -27825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -74321 divided by -5717?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 5, 41 in decreasing order.\nAnswer: 41, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104917, 104882, 104857, 104848, 104861, 104902?\nAnswer: 104977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + t**4 - t**4 - t**5 + 4*t**5 - 5*t**5 + (-3 + 4 + 0)*(-3*t**2 - 2*t**5 + 3*t**2) - t**5 - t**5 + 0*t**5.\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 524497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-6))\/(1\/(-156)). Calculate the least common multiple of 1\/(p\/48 - 1) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13451 divided by -8.\nAnswer: 13451\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14216 (base 7) to base 2.\nAnswer: 111100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**4\/6 + 26*y**2. Let s(p) = -4*p**2. Determine z(s(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82728)\/(-527391)*6\/176*2*22\/2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-2 + w**2 - 2*w + 2*w).\nAnswer: -3*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 0, -1\/4, 0.07?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -3*u - 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1784, -3908, -6032, -8156?\nAnswer: -10280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(-1*sqrt(2))*1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + m + 2256, 3*b - 710 - 1543 = 2*m. Let w(a) = a**2 + 8*a - 103. Let s be w(-15). What is the hundreds digit of b\/(18\/(4 + s))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 2)**2*6*1.\nAnswer: 48*sqrt(13) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*g - 978 = -2979 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(2))\/sqrt(6) - sqrt(5)) + -5 + sqrt(20).\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -291243633+1146\nAnswer: -291242487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxlnxnllyxx. Give prob of sequence nll.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 296 = 71*m, 11*m = 15*m + 3*o + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 10 = f. Let p(g) = -g + 9. Let x(l) = -5*l + 45. Let z(a) = 11*p(a) - 2*x(a). Let m be z(5). Sort m, 2, f.\nAnswer: f, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1216.7309698 + -1227.22495. Let r = i - -11.39398041. Let j = r + -0.9. Round j to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842497?\nAnswer: 842497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-28)*(-26 + 1) and 19\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 1 = -399. Suppose 1664 = g*v - 8*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -282588?\nAnswer: -282578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 798 divide 5092038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 3:21 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 276 + -273. Suppose -26*p + 27*p = 4*m - 7, -5 = -l*p - m. Which is greater: 2\/509 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 637300*h*k**3*y**3 + 414*h*k**3*y**2 - 4*h*y**3 + 14125*h*y**2 wrt y?\nAnswer: 3823800*h*k**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/15 - (-36)\/130) + 0. What is the second biggest value in c, 0.4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 25725, -28 in descending order.\nAnswer: 25725, 12, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -216, -207, -188, -153, -96, -11?\n\"Answer: g**3 - g**2 + 5*g - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1516.1, -152, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/1495 and 27\/1196?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from vchal.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l - 91. Let y = -924 + 917. What is d(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 185293.4 nanograms?\nAnswer: 0.1852934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.2 - -6. Let o = m - -0.3. Let t = 6 + -10. What is the third smallest value in t, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) 6\/113 (c) 0.1 (d) -3 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g**2 - 104*g + 216. Let w(v) = -6*v**2 - 104*v + 216. Let d(i) = 6*w(i) - 4*x(i). Factor d(h).\nAnswer: -4*(h - 2)*(h + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {k: 2, a: 4, j: 1, n: 3, w: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -5 - (2 + 0)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 109 = 53 + 32 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 20*s + 2. Let w(d) = 81*d + 8. Let m(r) = 2*w(r) - 9*x(r). List the prime factors of m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 161, 328, 495?\n\"Answer: 167*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -a + 3*y, 0 = -3*a - y + 13. Let b(j) be the second derivative of 5*j**4\/12 - 5*j**3\/6 + 3*j**2 + 10*j. What is the tens digit of b(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b + 4*b - 2*b**2 - 7 - 4*b. Let n = 169 - 174. Give q(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31719 (base 13) in base 11?\nAnswer: 60a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186 - -192. Suppose -t*l + 6 = -12. Solve -l = 4*y - 3*f, 4*y + 1 = 2*y + f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1848, 3210, 5482, 8664?\n\"Answer: 455*l**2 - 3*l + 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 10*r + 390. Let v be k(14). What is the greatest common factor of v and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58761300*n**3 + 238351316*n wrt n?\nAnswer: -352567800*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -805, 455, -2, -1, 0, 3, -4.\nAnswer: -805, -4, -2, -1, 0, 3, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1764\/27 + (-2)\/(-3). Suppose l - 356 = -5*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8852145151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49881.\nAnswer: 3, 13, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35063297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -12*q + 36. Suppose -2*d - n = -271, 11*d + 2*n = q*d + 140. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4)*-1)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:54 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-7 + 0 + 7 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163\/(4564\/1176) - 1.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -3443?\nAnswer: -3435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Suppose m - r*b = 4*m, 3*m + b - 9 = 0. Solve -5*s = 24 - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/220)\/(4\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591 = -14*f + 949. Calculate the lowest common multiple of f and 12.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.01, 427.6, -3, 1\/4, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 6. Let y(k) = 1. Let f(o) = -b(o) - 6*y(o). Let t be f(-3). Let u(g) = g**3 - 7*g**2 + 10*g + 1. Is u(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143157.\nAnswer: 3, 7, 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 2, v: 2, d: 2, z: 1, p: 1}. What is prob of picking 1 z and 1 d?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + a = -3143 + 192548, -4*a - 151500 = -4*r. What are the prime factors of r?\nAnswer: 2, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51743 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(-8*c**3 + 172*c**2 - 172*c**2) + 58*c**3 - 3*c**3 + 5*c**3 in the form d*c + h + p*c**2 + b*c**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15 = 4*p, -n + 3*p + 43 = 3*n. Let w be (n\/(-5))\/((-4)\/40). Suppose -w*i = 384 - 1588. List the prime factors of i.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129204 + p - 8*p + 129204.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*r**3 - 2*q**3 + 4296*q**2*r**4 - 2*q - 257*r + 10 wrt r?\nAnswer: 12*q**3*r + 51552*q**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 4. Let x be w(-3). Suppose 0*a - x*a = -40. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*j = -5, 3*j + 5 = 4*o + 8*j. Suppose o = -i + 32 - 10. What is the least common multiple of 10 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urxixkkxuxxikikrxx. Give prob of sequence ik.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {d: 1, a: 3, x: 4, k: 1, g: 3, p: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -947 times -172.19?\nAnswer: 163063.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 2. Let a(b) = 3*b**2 + 20*b - 7. Let i be a(-7). Suppose 4*n - s + 8 = i, -n = -s - s + 9. Let o(p) = p + 1. Determine n*m(r) + 2*o(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*i - 4, 2*d - 6 = -7*i + 4*i. Suppose d = -9*t + 5*t. Suppose 6*n + t*n = 24. Solve -5*u + 3*f - n*f = -24, 0 = 2*u + 2*f - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 7*p - 1. Let z be g(-5). Let i(t) = -2 - 11 + 3*t + 3 + 0*t. What is the tens digit of i(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (49*n - 3*n + 14*n + (0*n + n + n)*(0 + 0 + 1))*(4 - 6*n**3 - 4) as u*n**2 + l + q*n**4 + a*n**3 + g*n and give q.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -13 + 51*m - 54*m + 5. Let a(g) = 4*g + 9. Calculate -6*a(u) - 7*q(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8326699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191*y**3 - 222103*y**2 + 497883370*y.\nAnswer: -1146*y - 444206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*v - 139 = -145*v + 38*z, 2*v + 3*z = -117 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = -u - 19, 22 = 2*s - 3*u. Suppose -7 = 3*w - s*k, 6*k - k = -2*w + 12. Which is the closest to w? (a) -0.3 (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*r + 167848, 4*f + 0*r = -4*r + 167812. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 7:46 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/451 + -1786\/1353. What is the closest to -3\/20 in -3, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -7. Let h(i) = -2*i**2 + 2*i - 4*i**3 + 4*i**3 - c - 5*i**3 + 4*i**3. Let d be h(-3). Solve 0 = d*u - z + 7 - 3, 4*z = -u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + -6 - (3 + -6). Let g(y) = 3*y + 2*y - 12*y + i + 2*y. Let k(j) = -5 + 2*j + j + j. Give 5*g(u) + 6*k(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-9\/4))**(-4\/11))**40 assuming o is positive.\nAnswer: o**(360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104807082 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4833222 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)\/f**(-5)*f**4*(f*(f\/f**(-1\/3))\/f)\/f)\/(f**(3\/2)*f**(2\/19)*f)**39 assuming f is positive.\nAnswer: f**(-5345\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206*o - 621*o**2 - 616*o + 205*o + 204*o to the form s + g*o + a*o**2 and give a.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) -2\/11 (b) 4 (c) -0.1 (d) -2\/5 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33564199 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 4, x: 4}. What is prob of sequence jx?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 14*b - 9. Let i be ((-2)\/4 - 0)*2. Let g(h) = -11*h**2 + h - 1. Let x be g(i). Let m be v(x). Solve -2*c - 12 = -m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56249 - -84096. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 7. Let l be v(-9). Let f(d) = 18*d**2 - 2*d - 1. Is f(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 100*l**2 + 289*l + 328. Calculate j(97).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/3, 40\/89, 5, 1, -8, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1774, 6330, 13922, 24550, 38214, 54914?\n\"Answer: 1518*s**2 + 2*s + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*c**3 + 44*c**3 - 7*c**4 + (0*c**4 - c**4 + 0*c**4)*(-1 + 1 - 2) + 2*c**2 + c**4 - 2*c**2 - 2*c**4 - c**4 + c**4.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)*-1*1. Let f(l) be the second derivative of l**4\/12 + 8*l**3\/3 - 21*l**2 - 10*l. Let z be f(-18). Sort z, i, 1 in descending order.\nAnswer: 1, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 16 = 4*x. Let d = 70 - 58. Let b = d + x. Solve l + b*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 3*o**5\/25 - o**4\/20 - 3*o**3\/5 + 9*o**2\/10 - 2*o\/5 + 49. Factor l(s).\nAnswer: (s - 1)**2*(s + 2)*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 9. Suppose 13*b - 7*b = 48. Determine k(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3840*b**2 - 4841 - 1334*b**2 + 4841 + (4*b - 5*b + 3*b)*(0*b - 4*b + 2*b) + b**2 - 5*b**2 + 2*b**2.\nAnswer: 2500*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*j**4 - 5*j**3 + 3*j**2 + 17*j*m - 15*m - 3257 wrt j.\nAnswer: 28*j**3 - 15*j**2 + 6*j + 17*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from iiuoguiiagu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/28*(-16)\/(-42). Let w(j) = -j**3 + 28*j**2 - 2. Let y be w(28). What is the third smallest value in b, y, 0, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:22 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3823, 7509, 11135, 14701?\nAnswer: 18207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4042609 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 123694?\nAnswer: 123694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -5a417?\nAnswer: -5a413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 - 278 = -12*j. Let t = j - 39. Calculate the remainder when 6 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 25*t + 26*t + 20741, 103693 = 5*k + t. List the prime factors of k.\nAnswer: 3, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194800 rounded to the nearest ten thousand?\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -372?\nAnswer: -1\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479397.3 millennia to months.\nAnswer: 5752767600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 3*y**2 - 2*y + 3. Let k(l) = l**2 - 2*l + 3. Let v be k(2). Suppose i - 3*d + 6 = 0, -3*i + i = -2*d + 4. Let q = v + i. Give a(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/14882 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11*f + 22*f + 1.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/85431150 and -133\/600.\nAnswer: 341724600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 7. Let d be j(-5). Let q = d + -3. Let v(i) = i**3 - i**2 + 160. Let g be v(q). What is the greatest common divisor of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -41. Let q = g + -10.9. Which is the nearest to q? (a) 2\/7 (b) -0.2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 4. Let a be p(-2). Let l be (3 - 8)*a\/(-10). Solve 0*i + l*i = 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443.19*-904.\nAnswer: -400643.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1754163727 rounded to three decimal places?\nAnswer: 0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(3400) - sqrt(3400)) + sqrt(3400))\/((-2*sqrt(180) + sqrt(180) - sqrt(20))\/sqrt(10)).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -3*d**2\/2 + 11*d - 10. What is the units digit of v(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.5, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/7315 and -79\/65170.\nAnswer: 716870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -6, -0.06, 1\/37, -1\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 113114117 - -3?\nAnswer: 113114122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21155*x**3 - 10573*x**3 - 10580*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 861*g - 431*g - 2 - 428*g as q + t*g and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**3 - 2*u**2 - 6*u + 5. Let o(m) be the third derivative of 11*m**6\/120 - m**5\/10 - 17*m**4\/24 + 7*m**3\/3 + 13*m**2. Calculate 17*c(t) - 6*o(t).\nAnswer: 2*t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 166*t + 260*t + 838 + 2570. Which is the nearest to -1\/3? (a) -107 (b) 3\/5 (c) t (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126991953*n**2 + 50*n - 156426.\nAnswer: -253983906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 4363 and 7493.404.\nAnswer: 11856.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(sqrt(432)*-2 - sqrt(432)))**2.\nAnswer: 248832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 26.9. Let z = a - 18.4. Let u = z + 16. What is the second biggest value in -2\/9, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 (base 8) in base 10?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4187 - -46059\/11. Which is the fourth biggest value? (a) -4 (b) -1\/7 (c) m (d) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4274*x - 212. Let u(q) = -4274*q - 255. Determine 6*a(c) - 5*u(c).\nAnswer: -4274*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - (38 - -32) - (-1 + 0)) + (-50 - 2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 5*j - 85, 0 = -21498*q + 21505*q + 5*j + 130 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand 14*t - 20*t - 10*t + (-1 + 3 - 1)*(2*t - 5*t + 5*t) - 2*t + 5*t - t - 11*t + 4*t - 12*t + (-2 + 2 - 1)*(-2*t + 6*t - 2*t).\nAnswer: -33*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q**2 + 10*q - 3. Let d(i) = -4*i**2 + 3*i - 1. Calculate 2*b(x) - 7*d(x).\nAnswer: 6*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -102012.6 minus -37.62281?\nAnswer: -101974.97719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 347*g**3*s - g**2*s - 88*g**2 wrt g.\nAnswer: 2082*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-187)\/34 - -3)\/(10\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 15*d - 33*d + 14*d. Let b(o) be the third derivative of -o**4\/12 - o**2. Calculate v(b(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 6*c + 2. Let v be o(5). Suppose 0 = -32*s + 60 + 36. Sort s, 0, v in decreasing order.\nAnswer: s, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {i: 1, t: 1, b: 1, d: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -26. Let w be (-6)\/(-4)*f\/6. What is the first derivative of 4*h**3 - 1 - h**4 - w*h**3 wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9472 + 14227. Is 35 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 3*n - n - 2*m, -4*m = 3*n - 162. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 + 164. Let k(f) = -s - 2*f - 1 - 3 - 3. What is k(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 6\/(-4))*1846\/(-213)*3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -99. Let d = u + -32. Calculate the remainder when d is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -19 - 9 - (3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = 2*c + 40, -2*n = 4*c + 36. Let f be (1\/c - 32736\/(-5712)) + -5. Factor -f*b - 2\/17*b**2 - 12\/17.\nAnswer: -2*(b + 2)*(b + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/7 - 118*t**4\/7 - 286*t**3\/7 + 2598*t**2\/7 - 2196*t\/7 = 0. What is t?\nAnswer: -6, 0, 1, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 0.1, 99\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*-3 - 1. Let k = 11 - 72. Let q = 181\/3 + k. Which is the nearest to y? (a) 3\/2 (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a**3 - 523*a**3 - 2846*a**3 - 282*a**3.\nAnswer: -3688*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cb2a (base 15) in base 16?\nAnswer: -16dc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9*i + 2382. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117118, -234238, -351358, -468478, -585598?\nAnswer: -702718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37520\/3*x - 542\/3*x**2 - 2\/3*x**3 - 35912.\nAnswer: -2*(x + 3)*(x + 134)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**18*(g**(2\/39)*g)\/g)**49)**(-7\/3) assuming g is positive.\nAnswer: g**(-254849\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/56*12*812\/261.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*j**3\/2 - 2960*j**2 - 10110*j = 0. What is j?\nAnswer: -674\/85, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29)\/10 + 9\/(-90). Let x(d) = -3 + 3*d**2 + 24*d - 16*d + d**3 - 11*d. What is x(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 23 - 3 = 0. Let h = 6 - g. Solve 0*w = -h*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.9 + 83.9. What is the closest to -0.6 in 4\/3, h, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2489, 9902, 22241, 39506?\nAnswer: 61697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by -181578.\nAnswer: 113\/181578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*a**2*n*q**2 + 9*a**2*n*q + 3*a**2 - a*n*q - 13*a*q + 9*n - 46*q**2 wrt q?\nAnswer: 158*a**2*n - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from rroworo.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 314*z + 31 = 315*z, -5*u - 40 = 5*z for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 14. Let l be r(10). Suppose 2*d + 2*n = 0, 5*n + 1 = -2*d - 11. Suppose -2*p + 122 = l*v, -5*p + p = -d*v + 152. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*a + 16. Suppose -5*r + a*g + 205 = 0, -r + 4*r + 5*g = 157. Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -9298\/7?\nAnswer: -9298\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 155281065, 155281064, 155281063, 155281062?\n\"Answer: -x + 155281066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**3 + 1325*q**2 - 85760*q - 269340 = 0.\nAnswer: -3, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0 + 179*t**2 + 0*t + 1\/33*t**4 - 2\/1155*t**7 + 4\/165*t**5 + 0*t**3 - 1\/660*t**6. Find d such that l(d) = 0.\nAnswer: -2, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 32 = 15*w + 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.270675 to 2 dps.\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i. Let x be 55\/4 - (-8)\/32. Let j(h) = -7*h + x*h - 8*h. Calculate 4*d(q) + 5*j(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -264152 divided by 4\nAnswer: -66038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -16. Suppose -6*x - 77 = x. What is the nearest to -1\/4 in -0.1, g, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 29 = 1. Suppose -c*a + 14 = -3*a. What is t in 0 - 3\/2*t - 1\/2*t**a = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.006 + -0.0060225. Round h to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.851 and 50714543?\nAnswer: 50714542.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 + -75. What is the remainder when (-2)\/(-2)*(13 - 0) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*n*r**2 + h*n*r - h*r**2 + 70*h - 195*n*r**2 - r**2 - 21 wrt r?\nAnswer: -2*h*n - 2*h - 390*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*r)*(57*r - 83*r - 107*r).\nAnswer: -266*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -327, -466, -587, -690, -775, -842?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.17832 days to nanoseconds.\nAnswer: 188206848000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m - 6*m - 9*m - 9*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-165))\/(2\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 6*o + 9. Let j be a(7). Suppose j*i + i = 6. Solve 0 = 2*m + q - 3, q + 3 = -5*m + i*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(-317*v + 449688 - 449688) in the form w + c*v and give c.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-330)\/2376)\/((-10)\/12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4995744 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 54*f**2 + 15*f - 26. What is the lowest common multiple of r(2) and 198?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrrrbkrrrkrkkrrkr. Give prob of sequence kkk.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (58\/2 - -2) + -3. What are the prime factors of (-2)\/(-8) - (-161)\/z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93484792 and 3127.\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0*g**5 - 14*g**3 - 38*g + 103\/30*g**6 + 0*g**2 + 0 + 0*g**4. Find the second derivative of h(y) wrt y.\nAnswer: 1236*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhy when three letters picked without replacement from {h: 2, y: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 74033*q - 56562 wrt q.\nAnswer: 74033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 29*j**2 - 51*j + 3334. What is l(31)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -7. Suppose -3*q = o*q - 266. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 48*s - 28*s + 33*s - 13*s.\nAnswer: -62*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*q - 39400 = 0, 5*r + 3*q - 76526 = -27276. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l. Suppose l = 2*p - 0*p - 66. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 617 = 1151. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m + 263. Determine b(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 112. Let z = 56.029 + q. Let x = -0.271 - z. Which is smaller: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/98 and 3\/50?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + a + 1104 - 1477, 2*a - 376 = -5*x for x.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 2:16 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -30, -59, -112, -195?\n\"Answer: -d**3 - 3*d**2 + 5*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5\/6 - 35*m**4\/6 + 25*m**3\/6 + 35*m**2\/6 - 5*m = 0. What is m?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27368\/5 or -5474?\nAnswer: -5474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58912.85nm to meters.\nAnswer: 0.00005891285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31, 186, 437, 778, 1203?\n\"Answer: -u**3 + 54*u**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 6*y - 13*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 21. Let t(n) be the first derivative of -n**4\/4 + 11*n**3\/3 + 3*n**2 + 27*n + 490. What is the units digit of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/35 (b) 2 (c) 0.4 (d) 63\/2 (e) 1 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 554 + -427. Let s = -483\/4 + x. What is the closest to -1\/4 in 2, -0.1, -4\/3, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 48?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36258*t**6*w - 41*t**4*w + 967990*t**2 + 2*t - 2*w wrt t.\nAnswer: 4350960*t**3*w - 984*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 35 = -35. Suppose -8*i + 7*i = -24. Let y = -19 + i. Calculate the remainder when z is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106, 104, 102, 100, 98, 96?\n\"Answer: -2*g + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**3\/3 + u**2 - 2*u - 1. What is the units digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3017649116.\nAnswer: 2, 14747, 51157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, 1 r, and 1 a when four letters picked without replacement from {k: 3, y: 1, r: 1, a: 3, v: 2, b: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + 80 = 0. Suppose -3*p = -5*i + 33, p = -3*i - p + o. Let m = i + -31\/5. What is the smallest value in m, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23893\/45 + 4190\/9. Let m = x - -65. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 1:06 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a4731 (base 13) in base 12?\nAnswer: -281b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Let u = 1 - -4. Which is the third smallest value? (a) n (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 231\/185 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 0 + 1)*-1. Suppose r = w - 2. Let l be (-5 - -7)*(-5)\/(-2). Solve -2*o + 2 = -l*s + 7, w*o = -2*s + 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 - k**5 + 0*k**5 + (-k + 2*k - 3*k)*(-6*k - 4*k + 0*k)*(-k**3 + 0*k**3 - 2*k**3).\nAnswer: -62*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 - 3*r - 1. Suppose j + 11 = h + 7, 4*h - 1 = -j. Give l(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8486, 16970, 25454, 33938, 42422, 50906?\n\"Answer: 8484*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53971046 less than 53971040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 914244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/(-351) - (-10304498)\/26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -325\/3, 3\/4, -104 in decreasing order.\nAnswer: 3\/4, -104, -325\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 41*q + 16. Let d be l(-20). Suppose -15 = -5*x, 0 = 5*p + 3*x - 8*x. Put -1, d, p in ascending order.\nAnswer: d, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 2. Let l(x) = -1. Suppose 0*t - t + 1 = 0. Let p(i) = t*h(i) + 2*l(i). Give p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591413571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*g + 51*g = -3885 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) - (-9 - (-48490)\/5434)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {l: 6, y: 1, m: 2, c: 2, s: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 878 + 2148 = 0. Suppose 0 = -j + q - 9. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*j - 1195 = -8685 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g + g**4 + (-26 + 26 + 14*g)*(3*g + g**3 - 3*g) - 7 - 3*g**4 + 7.\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Suppose 5*q = -0 + l. Let v(j) = -3 + 4 + 4*j - 3*j. Let b(n) = 2*n + 3. Determine q*b(h) - 4*v(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + s + 0*s)*(110 + 104 + 3 - 8) as v + i*s and give i.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 9*k**2 - 7*k + 12. Let i be o(-8). What are the prime factors of -1 - (0 + i)*31\/(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 520493258 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k - 2*j - 17204, -9*k - 5*j = -38747. What is the greatest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -285 + 1105 - 286 - 252 + 2728*g - 283 in the form r + p*g and give p.\nAnswer: 2728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6 + 24812106*g**3 - 7.\nAnswer: 24812106*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(11\/(-14 - -36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 s when three letters picked without replacement from rrsefrsrvfvfrrfrerv.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190*d - 234*d - 132 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)*t\/(t**0*t*t))\/(t**(-2\/11)\/(t**(-7)*t))*(t*t**(-2\/5)*t)**(-1\/25)\/((t\/(t*(t*t**(-2\/17))\/t*t))\/((t*t**5*t)\/t)) assuming t is positive.\nAnswer: t**(46778\/163625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (sqrt(343) + sqrt(343) + -5 + -2*sqrt(343))**2 - (sqrt(343) + 4 + 1)) + -1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14228 - -14232. Solve -3 = k - w*j, 19*k + 3 = 21*k + j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - c + 3)*(0*c + 4*c - 2*c) - 7*c + 7*c + 6*c**2 + (0*c**2 + 0*c**2 - 2*c**2)*(-1 - 2 + 1) - 2*c**2 - c**2 + 4*c**2)*(-c - 2 + 2).\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**2 - 6*k - 3. Let q(a) = a - 1. Let l(p) = g(p) - 3*q(p). What is the second derivative of l(s) wrt s?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - (28\/21)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**8\/336 + q**7\/105 - q**5\/30 - q**4\/24 + 7*q**2. Factor n(k).\nAnswer: k*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1286*w - 5191. Determine a(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {j: 2, z: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 75950.\nAnswer: 1\/10850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -111110100?\nAnswer: -111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 16, 1, -117 in increasing order.\nAnswer: -117, -5, -3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Let y = -10 + i. Let l(z) = 6 - z**2 - 4*z - 2 + 1. What is l(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = -a + 2, 2*v = -3*a + 10. Let y be (-4)\/(-18) - (-170)\/45. Suppose 27 = 3*i + 4*t + 7, 2*i = v*t + y. Sort i, 2, 3.\nAnswer: 2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*p + 2*z, z - 12 = p - 3*z. Solve 3*l + 3*x + 9 = p, x - 3 = -5*l + 5*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-411525)\/(-90))\/59).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (-7 - -34) - (1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -139268, -278526, -417776, -557018, -696252, -835478?\n\"Answer: 4*l**2 - 139270*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {o: 2, f: 12, n: 1, u: 2, a: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034054253 rounded to seven decimal places?\nAnswer: -0.0000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-40))**23*(m\/(m*(m\/(m**(2\/5)*m))\/m*m))**(17\/3)*m*(m*m**(-4\/3))\/m*m*(m*m\/(m\/(m\/m**8)*m))\/m assuming m is positive.\nAnswer: m**(-4676\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1111000001011?\nAnswer: -1111000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 264203830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from nneneppni?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 6, -5, 4, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*g - 2*z + 1, 24 = 5*g + 3*z. Suppose g*u + 2*a + 22 = 113, -u = 5*a - 39. Let r = 30 - u. Is -1\/6 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -263\/4. Let b be 3*(42\/(-22) + 2). Put -3, -0.1, t, b in descending order.\nAnswer: b, -0.1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**3 - 14*o - 1. Let j(q) = q**3 - q. Calculate 6*j(k) - m(k).\nAnswer: k**3 + 8*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 14 - 14 - 2*f)*(1 + 7 + 7).\nAnswer: -30*f - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34745 - 34743. Solve -5*d - n*o + 35 = 0, 3*d + 477*o - 30 = 474*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-3 + 5)) + -16. Let m be 139\/3 - (-5)\/p - 0. Let y = 158 - m. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925931 greater than 1925926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**(-3)\/y))\/y*y**(-5))\/(y**(-1)\/y)**4*(y**(-1))**1*y**(1\/4)*y*(y*y**(3\/5)\/y)\/y assuming y is positive.\nAnswer: y**(157\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 238 - 299 = 0. Suppose 57 - o = -15*c. Calculate the greatest common factor of c and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.87 - -0.13. Let l = 4.7 - t. Let j = 0 - -1. Which is the third biggest value? (a) 0 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 + -69. Suppose -4*d - r = -78, d - r - p = 3*r. Suppose -3*z - 2*a = -z - 18, 24 = 2*z + 5*a. What is the remainder when d is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = -6*x. Suppose 42 = x*q + 4*q. Suppose -4*j = -v - q, 1 + 2 = j. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 1 + 0*o**3 + o**4 + 109*o**2 - 35*o**2 - 48*o**2 + 8*o - 33*o**2 as a + h*o**4 + t*o**2 + m*o**3 + q*o and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.91 (b) -3 (c) 4 (d) 0.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 u when four letters picked without replacement from {v: 11, u: 3}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937*t = 4200*t + 436645 for t.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1182*z - 1178*z - 3*s - 3897517 = 0, 0 = 3*z + s - 2923154. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b*p - 3203*b + 1315*p wrt p.\nAnswer: -3*b + 1315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 4. Let u be z(-5). Suppose 5*g - 2*v = -27, -v - 14 - 5 = 4*g. Let l = u + g. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0.1, -4 in increasing order.\nAnswer: -4, 0.1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/(-10))\/(20\/(-4800)) is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:11 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-6))\/((-12)\/184). Is f >= 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 13. Calculate the greatest common factor of 36 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 225658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3021 + 18113\/6. Let h(k) = -k**3 - 3*k**2 + 2*k + 4. Suppose -3*o = -7*o - 12. Let m be h(o). Does s = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 26*l**2 + 14*l + 26. Let k(n) = -5*n**2 - 3*n - 5. Let t(o) = -16*k(o) - 3*z(o). Suppose 48*d - 41*d + 35 = 0. What is the tens digit of t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1645750\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24 - -22)\/(-19 - -2). What is the nearest to t in -0.4, -0.02, -2\/11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/3 + 12887*k + 77318\/3 = 0. Calculate k.\nAnswer: -38659, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 5, 3, -46, -1 in ascending order.\nAnswer: -46, -3, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)\/((-4)\/(-12)). Suppose -7 = -l*m - 4. Let j = 2 + 2. What is the lowest common multiple of j and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 4. Let g = s + 22. Calculate the remainder when 38 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.446 - -0.265. Let t = b + -0.219. What is the fourth smallest value in t, 3, 0.1, -0.14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12824 (base 11) to base 10.\nAnswer: -18297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 41*l**2 - 208*l + 29. Calculate the lowest common multiple of 57 and q(-10).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 times -18.639\nAnswer: 1602.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 28. Suppose 12*w = n*w - 13800000. What is w rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-21)\/(-18))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/120 - g**5\/5 - 3*g**4\/8 + 11*g**3\/3 - 3*g**2 - 14. Find z such that m(z) = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + (12 - (12 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-38))\/(532\/10108))\/(-2*1\/(-16)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16025.95 - 0.235?\nAnswer: -16026.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = -20. Suppose k*j = 11*j - 16. Calculate the least common multiple of 12 and 3 + (-460)\/(-15) + j\/(-6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (13 + (0 - 8 - (33 - 29)) - 74)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-9) - 0) + 1279\/((-356841)\/(-36022)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = -0*y, 3*k = y - 11. List the prime factors of 106\/k*20\/(-8).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/16 + (-2220)\/(-32). Suppose -3*t = -72 - f. Calculate the remainder when t is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 37.43. Let w = -1.43 - n. Is w at most as big as 1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -27*z**3 - 3*z**2 - 2*z. Let j(k) = -134*k**3 - 16*k**2 - 11*k. Determine -2*j(h) + 11*t(h).\nAnswer: -29*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/36 - j**5\/8 + 5*j**4\/24 - 83*j**3\/6 + j**2 - 44*j. Let d(l) be the first derivative of q(l). Factor d(w).\nAnswer: 5*(w - 1)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -15\/2*h**2 - 1\/150*h**5 + 0 - 19*h - 1\/15*h**3 - 1\/30*h**4. Let y(w) be the first derivative of p(w). Factor y(a).\nAnswer: -2*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8896 = -10*g + 12*g, -4*v - 5*g + 8884 = 0. Calculate the highest common factor of v and 6042.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -387\/2462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -527 (base 8) to base 7.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33154024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1677\nAnswer: 1\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 499500 and 10.03.\nAnswer: 5009985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 33497.31ug?\nAnswer: 0.00000003349731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-17 + 33 - 33 - -32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-378)\/(-270)*4\/7\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4055676*u**3 - 4086676?\nAnswer: 12167028*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-294)\/(-896)*-2*12\/(-42).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 446805 + 894101 - 447296.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 75*l**3 - 3*l**2 - 3*l. Let c(o) = 50*o**3 - 2*o**2 - 2*o. Determine 7*c(i) - 5*s(i).\nAnswer: -25*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 205041366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 4*v - 2*q, -3*v - 3*q = -2*v - 31. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113 + 2418. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = -3*l - 4*t, l = -2*t - 1. Let k be (0 + 5)\/(0 - -1). Let h = k + l. Calculate the remainder when 2 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -1900, -2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 21192.\nAnswer: 63576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -1, -15, 504 in increasing order.\nAnswer: -15, -3, -1, 0, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m + 18*m - 34 + 8 = 28*m. Factor -12\/7*o + 3\/7*o**3 + 72\/7 - 18\/7*o**m.\nAnswer: 3*(o - 6)*(o - 2)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 946, 951, 968, 1003, 1062, 1151, 1276, 1443?\nAnswer: 1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 240 = 4*k, 4*k + 114 = j - 150. Let f(n) = 11*n + 6. Let s(t) = 120*t + 65. What is k*f(c) + 6*s(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4487*f**3 - 1790*f**3 + 7*f**3 + 393*f**3.\nAnswer: -5877*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-10))\/(34\/30 - 1). Suppose u*t - 8*t - 35 = 0. Let m = 1 + t. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*a**2 + 129*a**2 + 198*a**2.\nAnswer: 406*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17\/4 (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 4, -2\/513?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1394960 (base 13) in base 10?\nAnswer: -6208124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*t - 2*t, -4*t + 18 = -49*m + 48*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 58994880*m - 217524741638400.\nAnswer: -4*(m - 7374360)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 203*i + 5 - 203*i. Let b be (12\/(-8))\/((-3)\/(-2)). Let q(f) = 1. Let y(l) = -7. Let s(u) = b*y(u) - 6*q(u). Give 5*s(n) - w(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1349\/2436 + 6\/203. What is the common denominator of z and 116\/(-8) - 0\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 6*o - 1. Let q be y(6). Let b = -8 - -7. Let z = b - -1.3. What is the closest to q in z, 0.4, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312048 and 3168.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*3)\/(-4) + -6 - (-846)\/(-84)*14.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 51. Let j be (-3)\/2 + d + 25636\/8. Let g = j + 586. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-6)\/5)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 23 - 7 = 0. Let q = -203082\/21605 - 1\/4321. Is b at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6716050 rounded to the nearest one hundred thousand?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000070552 rounded to 7 decimal places?\nAnswer: 0.0000706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4 - (-5 + 2)). Let t = 17 + a. Calculate the greatest common factor of t and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 44*x = 570 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-3)\/(-3) - 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 11*x + 23. Suppose -3*z + 7*z = 4. Let w be 4 + (z - (-34)\/(-2)). What are the prime factors of q(w)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {k: 5, z: 1, q: 5, n: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 44, 1244 in ascending order.\nAnswer: -6, 2, 44, 1244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.0857 + 0.0857. Which is the second smallest value? (a) -4 (b) 4 (c) v (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934181?\nAnswer: 3, 19, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1 (c) -0.6 (d) 5\/4 (e) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 1\/2*s**3 + 0*s - 2*s**2 + 0 - 1\/24*s**4. Let i be b(0). Solve -2*q - i = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-19 - -61 - 34 - (-1 + 3)) + -98?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u - 5*m = 0, 3*m = 0. Sort -4, 2, -8, u in decreasing order.\nAnswer: 2, u, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -288, -651, -1160?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 20 = 0, -2*o + 3 = -3*g - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k**3 + 12 + 6*k + 17*k + 12*k**2 + k**2 + 12*k**2.\nAnswer: -20*k**3 + 25*k**2 + 23*k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**4 - 8 + 8)*(-2 - 2 + 5).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221 + -213 - (31 + -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 3*v - 3. Let t be l(4). Let z(j) = -j**2 + 2*j + 2. Let d be z(2). Suppose -d*o + 1 = -t. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0*a - 7*a + a**2 + 2 + 2*a. Let q be d(4). Let k be (-3 + 2)*0\/q. Solve 5*y + 10 + 10 = k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/12923 or 0?\nAnswer: -6\/12923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6224 + -1\nAnswer: -6225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/16*(-5)\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216747937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 45*g\/4 + 51\/2.\nAnswer: -3*(g - 2)*(g + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1861 = 5*g, -5*g = -2*g + 2*h - 1114. Suppose -p + 3*p = g. List the prime factors of p.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:05 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -71. Let f = 67 + p. Calculate the remainder when (-12)\/12 - (0 - -1)*-15 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**3 + 55468096*d**2 + 110936176*d = 0.\nAnswer: -13867022, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.032 + 0.332. Sort x, 0, -1\/4 in ascending order.\nAnswer: -1\/4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x = 0. Suppose x = -4*u + 55 + 65. Let w = u + -10. Calculate the least common multiple of w and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 19*c**2 - 32*c - 107. Let s(h) = -14*h**2 + 34*h + 108. Let k(t) = 4*s(t) + 3*v(t). Factor k(y).\nAnswer: (y + 3)*(y + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 2*s + 162 + 377.\nAnswer: 2*s + 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.44 * -48.\nAnswer: -69.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, 20, 47, 94, 167, 272, 415?\n\"Answer: r**3 + r**2 + 3*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 2 + 0 - (-26 + 5 + 26).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 9*a - 2. Let r be f(-7). Let k be (-14)\/(-21)*(-1 - -73). Let q be k\/(0 + (-8)\/(-20)). What is the highest common divisor of q and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 50. Does 6 divide m\/(13\/401) + 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -22*d + 730. Give i(22).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 30.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 6*o**2 - o**2 - 1442*o**3 + 1467*o**3.\nAnswer: 25*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*n - 114*n - 4 + 15 + 76*n as g*n + j and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 30 = -4*s. Let j be (1 + 0)\/(3\/s). Suppose -r**3 - r**2 - r**2 + r**2 + j*r = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1328*n + 36186. What is the thousands digit of m(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1042*n - 549 - 980 = -434 + 989. Solve 7*x + 0 - 1\/2*x**3 - 5\/2*x**n = 0 for x.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-6)*((-192)\/59640)\/((-120)\/(-100))\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76989 is divided by 19241?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2001 + 141222?\nAnswer: 134221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2022 - 2018 - 2035 + 6075 + 2393*y.\nAnswer: 2393*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -142, -139, -136?\n\"Answer: 3*u - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11780925.\nAnswer: 3, 5, 13, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16517 - 12533. List the prime factors of h.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.997935 weeks?\nAnswer: 1813151088000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1646932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -192316.\nAnswer: 1\/192316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 646270 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14460, -14462, -14464, -14466, -14468?\n\"Answer: -2*a - 14458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 468273847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*i - 10 = 0, 0 = 2*v - 27*i + 31*i + 10. Solve 4*k - v = -p, 5*p + 14 + 3 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (2 + -8 + 22)) + -6 + 20 + -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - 220) + (-10)\/(-2). Let v = 539 + z. What are the prime factors of v?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 25*u**2 - 43*u - 214. What is c(22)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -12*w - 96. Does 8 divide z(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, j: 2, v: 2, y: 2}. What is prob of sequence pj?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7010*f**4*o**3 + f**2*o**2 - 2*f**2*o + 13*f + 175*o**3 wrt f.\nAnswer: -168240*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -974 - 518. Is j a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**2 + 510*a*m**3 + 16*a*m - m**3 - m**2 + 108*m + 6 with respect to a.\nAnswer: 12*a + 510*m**3 + 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9924\/(-180) - ((-2)\/24)\/((-185)\/(-296))) + -12.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = -1. Let v be (133\/4)\/(c\/(-4)). Let k = 186 + v. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4338893 or 0?\nAnswer: 3\/4338893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 2*l + 3*l)*(0 + 1 - 3)*(l + 4 - 3 - 3)*(-13*l - 3 + 3) as j*l**3 + r*l**2 + q + m*l and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(21125\/(-468)) + (-4)\/26. Let u = -0.6 - -0.7. Let i = 26 + -18. What is the closest to z in u, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1382, 0.2 in increasing order.\nAnswer: -1382, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6. Suppose j - h + 20 = 4*h, j - h = f. Suppose m + 5 = j*g + 35, -30 = -3*m + 3*g. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4 + 90184*m**3 + 677070000*m**2 + 1687452292664*m - 39170671149364 = 0. What is m?\nAnswer: -7523, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**2 + 13*c**2 + 42*c**2.\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -15*u + 4. Let k be -2*1\/(((-8)\/2)\/(-2)). Let d(j) = 6*j**3 + j**2 - j - 2. Let p be d(k). Let b(s) = -4*s + 1. Give p*i(x) + 22*b(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12381, -24178, -35391, -46020, -56065, -65526?\nAnswer: -74403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7992)\/259 - -32)\/(-1 - (-9)\/7). Let s(w) be the second derivative of 0 + 0*w**2 + 31*w + 1\/30*w**n - 1\/15*w**3. Find q, given that s(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17562 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 24. Let d be 6\/(-5)*(-10)\/(-3). What is the units digit of (-10)\/d*l\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w + 2. Let k(i) = -28*i - 7. Let d(n) = -14*h(n) - 4*k(n). Let t(o) = -o + 2. Let f(v) = 3*v - 5. Let y(s) = 4*f(s) + 10*t(s). Give d(y(m)).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194843 and 2893?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.1364ml to litres.\nAnswer: 0.1371364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 332 = 186. Is 33 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcr when three letters picked without replacement from pcqrprpxp.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, -2\/33, 9\/88, -3, 1 in descending order.\nAnswer: 1, 9\/88, -2\/33, -0.1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14015 - -0.2?\nAnswer: 14015.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + 0. Let j = 447 - 766. Let r = j - -319.1. What is the third biggest value in m, -2\/3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgzmgvvzzgzmgvggvz. What is prob of sequence gz?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*z + 26*z - 4123 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Work out 808 + -3136.\nAnswer: -2328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 762537944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 12. Suppose -4 = -4*w - 12, -w = -h + 5. Suppose -h*b + 6*b - 18 = 0. Is z(b) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11255 times -2153.3\nAnswer: -242.353915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 253346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 4*a - 2. Let s be l(2). Let r(k) = 166*k**3 - k**2 + 1. Let u be r(-1). Let f = u + 168. Calculate the highest common factor of s and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 585, 2196, 4821, 8460, 13113, 18780?\n\"Answer: 507*x**2 + 90*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20207608*m**4 - m - 1328223?\nAnswer: 242491296*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*a - f, -5*a - 3*f + 89 = -f. Let x(i) = i**3 + 8*i**2 - i - 4. Let o be x(-8). Solve s - 3*n = 2*n, -o*s = -n + a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 - 948\/(-84). Suppose -x*k + 8*k + 105 = 0. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*s**2 - s**2 - 2*s**3 + 25*s**2 + 5*s - 3*s**4 - 56*s**2 in the form g*s**2 + q*s**3 + a*s + h + i*s**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q - 44*q = 0. Let u(x) be the second derivative of 0*x**3 - 1\/3*x**4 + q + 3\/2*x**2 + 4*x. Find the first derivative of u(f) wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44.4*-19.3\nAnswer: 856.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:11 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1. Let v(r) = -4*r - 6. Let g = -149 + 153. Let d be g - (9 + (-5)\/(20\/16)). Give d*v(z) - 6*l(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + -7.93. Let k = -27 + 16. Let r = h - k. Sort 1, r, -1\/5.\nAnswer: -1\/5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*u**2 - 36*u**2 + 982*u**5 - 16*u + 5*u**2 + 66*u**2 wrt u?\nAnswer: 58920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 3\/4, -10, -2, 0.08558?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -13*r + 20. Let k = -4 + 1. Let s be g(k). Suppose 56*h = s*h + 36. Which is smaller: -11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 54*t**2 - 5*t + 138. Let y be j(27). Factor 4*z**2 + 3\/4*z**4 - 13\/4*z**y + 0 - z.\nAnswer: z*(z - 2)**2*(3*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20239 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1114.05047 + -0.1\nAnswer: 1113.95047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 16) in base 6?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1261*l**4 + 2*l**2*t - t - 1820 with respect to l.\nAnswer: 5044*l**3 + 4*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and 0.4.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8484939 + -8484938.83000132. Let c = 16.17 - 16. Let y = b - c. Round y to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -7. Let w = -7.04 - q. Let l = -0.0399999 - w. What is l rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 932620 and 3719719?\nAnswer: 967126940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 - 10242*n**2 - 10248*n + 20488 = 0.\nAnswer: -2, 1, 5122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45479 - -103?\nAnswer: 45582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -93, -100, -107?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 - 1. Let f(g) = 18*g**3 + 5*g**2 + 2*g - 6. Determine f(l) - 5*h(l).\nAnswer: 13*l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-148 + 28)*(-66)\/55. Which is smaller: p or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.028?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 23. Suppose t - 4*y = 4*t - 130, 220 = 5*t + s*y. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358.2324um to kilometers.\nAnswer: 0.0000003582324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - -2. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 436.2+-320162006\nAnswer: -320161569.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17500912 bigger than 17500907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91477207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2070)\/171 - (7 + 1 - 20). What is the second smallest value in c, -0.03, 82?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3 + 1 - 3 + 3 - 2 + 3 + 0 + (-4 + 1 + 4)*(4 - 3 - 3) + 0 + 1 - 3)*(7*k**3 + 2*k**3 - 7*k - 2*k).\nAnswer: -27*k**3 + 27*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1141518 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 328 = -3*h + 5, -4*h + 468 = -2*b. Let n = -54 + h. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 39*g = -29*g - 0*g. Suppose -2*u = -5*j + 85, j = -u + 3 + 7. Solve s + j - 19 = g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*s - 525 = -4090 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*g = -28 - 4, 4*p - 50 = 5*g. What is the remainder when (p\/20)\/(1\/82) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 18*h = -18. Suppose 0 = h*g - 1 - 5. Is 5 a factor of (-98)\/(-21) + g\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-7)\/49*7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.25 + -3.55. Sort v, 1\/7, -3\/4 in increasing order.\nAnswer: -3\/4, v, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12127535447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4030020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2228 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*k**2 - 4*k**2 - 2*k**2)*(-k**2 + k**2 + 2*k**2) to the form j*k**3 + t + u*k + h*k**2 + n*k**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97720*q + 97709*q = 198 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 - -59) + -44 + -53 - (111 - 1)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 - 4*o + 4*o + (2 - 3 + 4)*(-2 + 2 - o**3).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3561 = 3219. Let v = l - -2029. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 2*f = 36*t - 8, 2*t = -12*f + 48 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2406 (b) -1.8 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24*3\/((-18)\/(-4)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irovovqqoooivqooiqrq. Give prob of sequence qor.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112763 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113.48 - -158.6. Let l = -61 + y. Let i = -16 - l. Which is smaller: -2\/7 or i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51516, -103032, -154548, -206064, -257580, -309096?\n\"Answer: -51516*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*k - 49 + 120 = 0, -15 = -5*k. Let a = g + -63. Let i be (a + -2)\/((-2)\/2). Solve -i*l + 13 = -o, 4*o + 2*l + 7 = -l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkwknwnwwwwwkwwkkwk. Give prob of sequence ww.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 13. Let u be h(-9). Suppose 3*d + 68 = 2*o, 9*d = 2*o + u*d - 72. What are the prime factors of 2\/3 - o\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 16*v**3 - 2*v**2 - 5*v - 5. Let q(c) = 17*c**3 - c**2 - 4*c - 4. Give -4*p(h) + 5*q(h).\nAnswer: 21*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5298, -1, -3 in decreasing order.\nAnswer: 5298, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.031.\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1378 - -1391. Let m(a) = -a - 2. Let v(i) = i + 0*i + 0*i + i + 4. Suppose 0 = -7*t + 2*t + 30. Determine t*v(d) + y*m(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*b - 14, -5*k + 2*b = -0*b - 14. Suppose 5*j - 14 = j - 3*l, -k*l + 4 = 0. Let v(n) = 8 + 5*n + 3*n**2 - 6 - 2*n**j. Determine v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96 + 132*l - 96)*(42 + 48 + 47 - 23) to s*l + y and give s.\nAnswer: 15048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*p - 2. Let j = p - -3. Let o(q) = -4*q**3 - q**2 + q + 1. Let c be o(j). Solve 3*z + 4*y = -c, -3*z + 8*z - y + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -7*t**5\/60 - 7*t**3\/6 - t**2 + 1058*t. Let f(i) = -7*i. Determine f(s(v)).\nAnswer: 49*v**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*m - 2*m + 11*m)*(3*m + 3*m - 7*m)*(3*m - 2*m - 9*m).\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23793970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1002.2*-0.4\nAnswer: -400.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = j. Let z = -8 - j. Which is the second biggest value? (a) -0.1 (b) z (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 298, -1 in decreasing order.\nAnswer: 298, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:41 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79\/6 or 25\/3?\nAnswer: 79\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u**2 - u. Let d be l(-1). Let m(g) = 2*g - 13. What is the smallest common multiple of m(d) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -5e46?\nAnswer: 5e45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 36*z - 21. Suppose -3*c - 2*r + 34 = -0, -33 = -3*c - 3*r. Is p(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/(-126))\/(5\/(-15)*(-27)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (-5 + (sqrt(20)\/sqrt(250) - sqrt(2)))**2.\nAnswer: 8*sqrt(2) + 557\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) 0 (c) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 958086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 c, and 1 z when three letters picked without replacement from {k: 1, w: 1, z: 1, c: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -990938.99 to the nearest 100.\nAnswer: -990900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 3284326308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -x + 2, -4*i - 2*x = 1 + 3. Let k = 1 - i. Differentiate -v**k - 1 - 2 + 2*v**2 with respect to v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1147 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -119, -194, -269, -344, -419, -494?\n\"Answer: -75*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2 + 3 - 6. Let b(v) = -4*v + 2. Let c(a) = -a - 1. Let x(l) = b(l) - 5*c(l). Let u(y) = 5*i(y) + x(y). What is u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 5. Let b(x) = -2*x + 5. Let m(o) = 5*b(o) - 6*h(o). Is 4 a factor of m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37538714797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/45 - (-6)\/(-15). Let b = 5 + -5.3. Let g = b - -0.4. What is the closest to z in g, 3, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -12. What is the nearest to 0 in 0.1, 4, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 1. Let m(d) = 21*d + 1. Let j(t) = 3*m(t) - 6*o(t). Let x(l) = 285*l - 14. Let k(w) = -11*j(w) + 2*x(w). What is the hundreds digit of k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404669867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25152*w = -325*w - 5219*w - 1430*w + 2409450 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 1. Let a be 2\/(-5) - 7\/(-5). Let o be c(a). Suppose -g + o = 2*l - 12, l + 2*g = 13. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 33*p**2 + 200*p - 1. Let q be m(-25). Let g = 3.6 + -4. Which is the closest to q? (a) -5\/6 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1474 - -186. What are the prime factors of x?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 5635\/(-9 - -16).\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 21*m - 2. Let h be w(18). Let v be 0*(0 - 1\/1). Let p be (-1 - -14) + v\/(-2). What is the highest common divisor of p and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*n + 10 - 34 = 0, 4*m + 3*n = 45. Solve -3*q - 19 = 2*r, 0 = -5*r - 3*q + m - 43 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 + 5.9. What is the nearest to 2\/5 in -0.1, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 346 - 11106?\nAnswer: -10430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**8\/5040 - c**7\/840 + c**6\/360 - c**5\/360 + c**3\/3 + 2. Let b(w) be the third derivative of v(w). Factor b(k).\nAnswer: k*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 358 and 1952?\nAnswer: 349408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1425) + (sqrt(8208) - (sqrt(8208) + (1*sqrt(8208) - sqrt(8208) - sqrt(8208)))))\/(sqrt(300)\/sqrt(4)*-5).\nAnswer: -7*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 16*u**4 - 4*u**3 - 20*u**2 + 4*u. Let h(t) = 17*t**4 - 5*t**3 - 20*t**2 + 5*t. Let q(n) = 4*h(n) - 3*j(n). Factor q(s).\nAnswer: 4*s*(s - 1)*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38810036651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 4 (c) 3 (d) -1\/4 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 40*m. Let h(s) = 2*s + 6. Let v(i) = -1. Let r = -86 - -87. Let k(p) = r*h(p) + 6*v(p). Calculate k(g(c)).\nAnswer: 80*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 11:39 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1151, -3072, -6303, -10856, -16743, -23976, -32567?\nAnswer: -42528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 63 = 8*g - 23*g. Suppose 6*m - 2*m = -i - 7, -m = 4*i + 13. Let k be m*5 - (-1 + 1). Which is smaller: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 282 - -366. Let o be 2 + 1 - 2024\/c. Let z = o + 1\/81. What is the third biggest value in z, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3460)\/(-865) + (2 - (-57)\/(-12)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38c25 + 3a1?\nAnswer: 392c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*x = -96*x - 19*x - 43*x + 13584 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*a**3*f - 3*a**3 + 2*a**2 + 2*a*f - a + 2*f + 498 wrt a.\nAnswer: 252*a*f - 18*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 769, 778, 787, 796?\n\"Answer: 9*f + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -454, -484, -514, -544?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 98 = -5*o + 978, 2*i + 4 = 0. Suppose 0 = 991*s - 35583 - 25859. Calculate the remainder when o is divided by s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Let u(x) be the third derivative of 0 - 2*x**w + 0*x**3 - 1\/24*x**4 + 0*x. Let a(o) = -2*o**2. Determine a(u(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338, -658, -964, -1250, -1510, -1738?\nAnswer: -1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*x**3 + 2)*(-3*x**2 + 0*x**2 - x**2) - 482461*x**2 + 482461*x**2 - 37*x**5.\nAnswer: -53*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 18. Let d be a(6). Let w be 10 - (-9)\/(-18)*(0 - d). Solve -5*f = w + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 - 335*w - 2169. Calculate p(-72).\nAnswer: 1215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56935876 is divided by 2731.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 4. Let h be z(5). Let f = h + -10. Let p be (68697\/3)\/(-1) + f. What is p rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 4. What is v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/77*-1*(-77)\/(-14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47374 is divided by 47360.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - 1 - 11*g - 2*g**2 + 25*g + 6*g**4 - 15*g as t + v*g + o*g**2 + l*g**3 + x*g**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294280 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 711 = -6*v + 3*v, u - 353 = v. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*v + 38*v - 112*v)*(v**2 + v - v + (-v + 0*v + 0*v)*(-3 + 11*v + 3)).\nAnswer: 350*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -18. Suppose f*d = 5*d - 4. Let g(h) = -5*h + 4. Suppose -5 - 4 = -3*t. Let o(c) = 4*c - 3. Give d*g(l) + t*o(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4514723503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (20\/405*-3)\/1*3\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 224*h + 693. Let m be q(-115). Let y(v) = v + 1. Let z be y(2). Solve z = u + 4*n, -m*u - 3*n = 5 - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 3*h**3 + h**3 + 2*h**2 + 5*h - 7. Let n be p(-3). Suppose 3*d - 2*x - 48 = 3*x, -4*d + n = -5*x. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4716.7 take away 11572.9?\nAnswer: -16289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278 a factor of 1907708940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6186\/5 + -699013\/565. What is the fourth biggest value in -0.3, -0.2, 2, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352627, -19, -2 in ascending order.\nAnswer: -352627, -19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105 - -190) + 14 + -55?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -180597.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 81. Let a(f) = f - 122. Give 5*a(k) - 8*c(k).\nAnswer: -3*k + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616, -2467, -5552, -9871, -15424?\nAnswer: -22211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 575\/(-69))*3\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7) + sqrt(700)*-1 + 1) - (2*sqrt(7) + -4 + sqrt(42)\/sqrt(6)*-5))**2.\nAnswer: 10647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 167*f**2 - 349*f + 351. What is y(1)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29525464 is divided by 29525462.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/33 + -3\/11. What is the closest to 0 in -1, -2\/19, s?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 4. Let i be u(-9). Find the first derivative of -2*q**2 - 5*q + 3 + i*q wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9365 + -0.7365. Put o, 273\/4, -0.2 in ascending order.\nAnswer: -0.2, o, 273\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.504463 weeks in days?\nAnswer: 17.531241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times 6460.663?\nAnswer: -1873.59227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -32*w**2 + 141993*w + 283982. What is x(-2)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2139, -2165, -2197, -2229, -2255, -2269, -2265?\n\"Answer: g**3 - 9*g**2 - 6*g - 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*j - 37*j - 34*j - 2*j**2 - 882 - j.\nAnswer: -2*(j + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*c**5 + 4800*c**4 - 1880*c**3 - 28630*c**2 - 19575*c + 1750 = 0.\nAnswer: -7\/5, -1, 2\/25, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(125) + (sqrt(5) - sqrt(40)\/(sqrt(8)*1)).\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buuuubbuuu. Give prob of sequence ubbu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 7. Let p be w\/(-7 + 3 + 3). Suppose 5*i - q = 31, 5*i - 14 = -p*q + 13. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = q - c, 5 = -5*q - 5*c. Let n = -5 - -5.2. Let a = 251\/342 + -11\/38. Put a, n, q in increasing order.\nAnswer: n, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**0*o*o)\/o)**(-10\/7)\/((o\/o**(-2)*o*o)\/(((o**(-2\/7)*o*o)\/o)\/o))*(o**(-6\/5)\/(o\/(o**(-1\/3)\/o)))\/(o**(-5)*o**(5\/2)*o) assuming o is positive.\nAnswer: o**(-2437\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 787773 divided by 161?\nAnswer: 4893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*-3)\/sqrt(7) - -3*sqrt(1280))\/((sqrt(180)*-6)\/(sqrt(72)*-2 - sqrt(72))).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:02 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h - 86*h + 5*h in the form k + i*h and give i.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -830500 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 99918081?\nAnswer: 99918080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) -2\/53 (c) 15\/2 (d) 1\/2 (e) -2 (f) 9\/2 (g) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10872776 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46511 = 4*u + h, -9*u - 34902 = -12*u + 3*h. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {c: 7, r: 2, n: 1, f: 4, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - h - 92. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t. Let u(w) = -168*w. Let g(k) = 5*k**2 - 3 + 2*k - 3*k**3 + 2*k**3 - k**2 + 4*k. Let s be g(5). What is s*u(a) + 49*f(a)?\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 856938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(63\/(-6720)*-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/282 and -95\/732.\nAnswer: 34404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 2. Suppose 5*o - 5 = 0, -4*t - 3 = 2*o - o. Is 2 a factor of (-4)\/((z*t)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248 - 243. Let a = -165 - -169. Solve -20 = 5*i + h, a*i + 0*i + 45 = k*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123059311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18097, 18094, 18091?\nAnswer: 18088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 13*z**6\/3 - 14*z**3\/3 + 26. What is the third derivative of r(d) wrt d?\nAnswer: 1560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 2*g - 2*g)*(1 - 2 - 1)*(g - 6*g + 4*g)*(-2*g**2 - 6*g**2 + 9*g**2) to w*g**2 + p*g**4 + z + a*g + b*g**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 11:55 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l - 3. Let n(a) = 4*a - 2. Let g(h) = -3*n(h) + 4*y(h). Let m(c) = c**3 + 3*c**2 - c + 1. Let p be m(-3). Is g(p) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -753533.805 rounded to the nearest 10000?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 26. Calculate the remainder when a\/4*(1 + 1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000001 - 0?\nAnswer: 101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -291419, -582839, -874259, -1165679, -1457099?\n\"Answer: -291420*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 - 1538*x**4 + 393212*x**3 - 33158140*x**2 - 67502078*x - 33949186.\nAnswer: 2*(x - 257)**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 11*w + 6*w - w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121023383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 216\/20*(-15)\/(-6). Suppose 2*l = 5*x + 6 - a, l = -3. Solve 5*d = -4*n + 37, x*n = -5*d + 33 + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 5.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*d**4*o + d**4 + d**2 + 7*d*o + d wrt d?\nAnswer: 648*d*o + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, 4\/3, 1, -129, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from hhxhhxxhhhx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2981 - 1702. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 758 - 752. Calculate the lowest common multiple of 888 and z.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36139 is divided by 73.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + x + 7. Let g be z(0). Suppose -215 = -g*j - 1139. Let d = 398\/3 + j. Which is the second smallest value? (a) 0.3 (b) 3\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 2:45 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -80*r**3 + 17*r**2 + 17. Let v(p) = -10*p**3 + 2*p**2 + 2. Determine -6*h(t) + 51*v(t).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56, 108, 164, 224, 288?\n\"Answer: 2*k**2 + 46*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (-4*(1 + (-2*sqrt(320) - sqrt(320))) + -1*(sqrt(320) - 1*sqrt(320)) + 4 + sqrt(320)*-2)**2 + 2).\nAnswer: -95991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150 - 74 - 125) + 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -148*u + 1698. What is c(29)?\nAnswer: -2594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/17 - (49 + 40128\/(-816)). Let p = 401\/8 - 157585\/3144. Do z and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 3*o. Suppose -1034 + 1636 = -7*b. Let z = o - b. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 55*m + 49056. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a3 + 6?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9886391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7278 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/8*4*28\/(-126)*(-6)\/(-188)?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-66) + (-83)\/((-120516)\/(-88))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**8\/168 - l**7\/30 + l**6\/24 - 37*l**5\/5 + l**4\/8 - 2*l**2 - 3*l - 4. Find the third derivative of q(u) wrt u.\nAnswer: 120*u**2 - 168*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, o: 1, q: 1, x: 1}. What is prob of picking 1 o and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*o + 108, 0 = -2*o - 3*k + 22 + 11 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -456a?\nAnswer: 4570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 23 = t, -2*n + 3*t = -413 + 412 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6157639 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183*d**3*k + 51*d**2*k*y - 2*d*k*y - 3558*d*k + 15*d*y + 2*k*y - 2 wrt d?\nAnswer: -1098*d*k + 102*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 + 3*k + 2. Let h be p(-6). Suppose -w + 2*b + 29 = -15, 4*b + h = 4*w. Suppose 5*m - 111 = -11. What is the remainder when w is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -135*d + 129*d. Suppose -6*s + d*s = -2*x - 18, 30 = 2*s + 4*x. Calculate the smallest common multiple of s and 51\/12 + 1\/(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 minus 65.8?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, -7 in decreasing order.\nAnswer: 5, 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1576 + 3831. Is 112 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-15))\/(((-105)\/(-18))\/7)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 14*d + 7*d - 8 - 6*d - 19.\nAnswer: -13*d - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29116 + 29147. Solve 2*g - 23 + x = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 5*f**2 + 9*f - 7. What is the remainder when 41 is divided by r(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 895 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1141*-3.\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 20.5. What is the nearest to -1 in 0.4, -3, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(3 - (420\/8)\/7). Which is the nearest to 4? (a) -1 (b) -1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1031121, 1031126, 1031139, 1031166, 1031213, 1031286, 1031391?\nAnswer: 1031534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1330121 (base 4) to base 12\nAnswer: 4735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 - -102030133?\nAnswer: 102031020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a842 (base 11) to base 8.\nAnswer: 307432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 3}. What is prob of sequence hc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(6\/7))*f**(-2\/23)\/f assuming f is positive.\nAnswer: f**(-313\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 7*f - 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1053112 and 17\/528.\nAnswer: 69505392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 904800 and 57525.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(45) + 1)**2 + sqrt(5) + 3 - -1*sqrt(20)\/sqrt(4)*3)*-3 + -2.\nAnswer: -254 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -7, -43, -127, -277?\n\"Answer: -3*j**3 + 3*j**2 + 6*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 15251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 8*p**2 + 10. What is n(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -45 + 24. Let x = q + 25. Put -2, x, -0.11 in increasing order.\nAnswer: -2, -0.11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 37611676*k - 176829771441122.\nAnswer: -2*(k - 9402919)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5223 + 7508. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150423 is divided by 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2 - 10*p + 14. Let u(m) = -m**2 + m + 1. What is j(o) + 5*u(o)?\nAnswer: o**2 - 5*o + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/17)\/g*g\/(g*g*g\/g**(-7))*(((g\/g**(-9))\/g)\/g)\/(g*g**(2\/9)\/g*g*g))**(1\/15) assuming g is positive.\nAnswer: g**(-628\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 7*d + 24510 = 0. Let b = -2998 - d. Let z = b - 20994\/11. Calculate the common denominator of z and -73\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*-6 - sqrt(117))*-1 - (-1*(sqrt(13)*-3 + 3) + 0)**2.\nAnswer: -126 - 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b - -62d99?\nAnswer: 62db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen twelths of a week?\nAnswer: 10920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(-1*sqrt(176) - sqrt(11)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.0501040663 and 6.46.\nAnswer: 7.5101040663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/4 - -3) + (-540)\/192. Does x = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 15*z = -5*h + 23, -h + 1 = z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -178? (a) -0.5 (b) 1\/15 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - k - 61 = 0, 2*x - 2*k - 28 = -4*k. Let i = x + -1. Let n be (0 - 2)\/2 + 71. Calculate the highest common divisor of n and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7076815mm to micrometers.\nAnswer: 707.6815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -120, -146, -148, -126, -80?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -13*s - 85. What is j(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 27 = -3*b - 3*o, -2*o - 38 = 3*b. Suppose 5*x = 86 + 14. Let w = x + b. Solve w = 5*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003823121994 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1043201 (base 5) to base 13.\nAnswer: -85a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 18*r - 169 - 9*r - 9*r. Let b be s(0). What is b rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/120 + (-1)\/(-5). Let t be 1\/((-87)\/349) - (-10 - -6). Let k = 517\/435 - t. Which is the closest to 0.2? (a) j (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314 (base 5) to base 4.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -898534\/17 or -52854?\nAnswer: -898534\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 46 - 54. Let n be (10\/(-4))\/(1\/y). Solve z + p + 5 = 2, -z = -p - n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 4*m**2 - 2. Give b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 13) in base 11?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238512718 - -385?\nAnswer: 238513103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (16284\/9936)\/(0 - 4 - 1) and -13\/140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-3))*c**(-9)*c*c)\/(c\/c**(-2))**2)**(-8) assuming c is positive.\nAnswer: c**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*-3030*(-18)\/(-3240)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -305736.3 and -1.1?\nAnswer: 305735.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 146*g + 721279 = -142*g, -2*g = -3*m + 2163711. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*2*(-1)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 0)*(9 - 10). Let f(t) be the second derivative of 0 + 1\/6*t**2 + 0*t**3 + 1\/90*t**6 + 0*t**g - t - 1\/18*t**4. Factor f(l).\nAnswer: (l - 1)**2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -3, -0.4, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -9 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000697408 rounded to 7 dps?\nAnswer: 0.0000697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**3\/3 - q**2 - 3*q - 2. Let d be f(4). Suppose k - 10 + 0 = -2*p, 0 = d*k - 10. Solve -p*n + 0 - 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 3*x + 8. Suppose 6*w + 5 = w. What is the smallest common multiple of l(-4) and w\/(4 + -3) + 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**3\/5 - 306*x**2\/5 - 60*x.\nAnswer: -6*x*(x + 1)*(x + 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 9*g - 5*m - 8, 35 = -5*g - 5*m. Let r be (-2)\/g - 416\/480. Is -62 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93978 and 3791581?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 44 = -8*f. Let r = 1503 - 1503.1. Which is the nearest to r? (a) 22 (b) 3\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 - 23 - 57 = 11128*y - 11136*y for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6506881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 3*v. Suppose v = 5*z + 2*f - 43, -2*z - 2*f + 5 = -11. Calculate the lowest common multiple of z and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 2*t + 1. Let o be k(-2). Suppose -12 = 3*q + 3*m, 4 = -2*q + 3*q - m. Sort q, -2, o in increasing order.\nAnswer: o, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -512.48 + 516. Let p = k - 3.72. What is the nearest to 4 in -3\/7, 3\/5, p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2316, 2354, 2446, 2616, 2888, 3286, 3834, 4556?\n\"Answer: 4*u**3 + 3*u**2 + u + 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -480.3, 0.05, 0.3, 0 in decreasing order.\nAnswer: 0.3, 0.05, 0, -480.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 12*p**2 - 13*p - 5. Determine w(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 436 + 460 = -3*q, 3*d - q = 8. Let k(o) be the third derivative of 0 - 2*o**2 + 0*o + d*o**3 + 1\/30*o**5 + 1\/6*o**4. Calculate k(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 6:44 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j + 16. Let f be h(10). Let u = 124 - 81. Calculate the greatest common divisor of u and f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*t + 9, 230*h - 6 = 228*h - 4*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1012 divide 1951058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1062 + 14*y**2 + 516 - 9*y**4 + y**3 - y**3 + 540 in the form h*y**4 + f + k*y + l*y**3 + g*y**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/33)\/(3\/6). Which is the third smallest value? (a) -0.4 (b) y (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11638400329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(4) - sqrt(3))*3)**2*-5*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q + 1. Let g(z) = -6*z**2 - 4*z + 4. Let t(h) = g(h) - 4*u(h). Let l(s) = 5 - 705*s**2 + 836*s**2 - 5. Determine l(t(p)).\nAnswer: 524*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4837 + 4878. Calculate the remainder when 241 is divided by a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12112 (base 4) to base 9.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:27 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 16\/251 (c) -5 (d) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61244522, -61244524, -61244526?\nAnswer: -61244528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 13080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*z - 53*z = 1624. Let i(x) = -9*x + 9. Let o(a) = 5*a - 5. Let c(j) = 6*i(j) + 10*o(j). Let h be c(-6). Are h and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, a: 2}. What is prob of picking 2 x and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6062\/12 - (-1)\/3. Let t = -487 + i. Calculate the common denominator of t and -107*(-2)\/8 - (-45)\/(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 141*k**3 + 2*k**2 + 2*k + 1. Let j be o(-1). Is j*(-2 - 1)\/3 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213317783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 256\/597, 5, -0.03?\nAnswer: 256\/597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -5, 0, 1008 in descending order.\nAnswer: 1008, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40105367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -8, 1, 42, 135 in ascending order.\nAnswer: -8, -1, 1, 3, 42, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 1.96, 1\/3, -0.02, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1149540 and 166566.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73191 + -73190.999909786. What is x rounded to six decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15 = 2*z. Solve -4*c = -z*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 6.6, -2\/15, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1113 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/40 and -83\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*-2)\/(34\/(-391)). Suppose -h = -9*v + 120. Calculate the least common multiple of v and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3301 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - 4*d + d**3 + (3*d - d + 0*d)*(2*d**2 + 0*d**2 - d**2) + d**3 + 0*d**2 + 0*d**2)*(-1 - 4 + 22) as g*d**2 + b*d**3 + y + i*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/19, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) 0.2 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*w. Suppose 0*f = -w*f + 4. Factor 1 + 5*m**2 - 3*m**f + 2*m - 3*m**2 + 2*m**2.\nAnswer: (m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 7*a - 46 - 176 = 0, d + 2*a = 56. Calculate the remainder when 176 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let v(n) = 15*n + 483. Let l be v(-32). Let f(b) = 2*b**3 + 4*b**2 + 3*b - 3. What is l*u(q) + f(q)?\nAnswer: 2*q**3 + 4*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5550 + 5552. Let k = 0.25 + -0.3. Sort 0, k, h, -0.3 in ascending order.\nAnswer: -0.3, k, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + o + 2*o)*(4*o + o - 6*o)*(-15862622018 + 15862622018 + 827*o - 25*o**2) as k*o**2 + b + f*o**3 + j*o + r*o**4 and give f.\nAnswer: 827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**7)\/((w*(w*w*w**(-2\/31))\/w)\/w)*w**1*w*w**(-13))**(-9\/4) assuming w is positive.\nAnswer: w**(549\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - m - 1. Let f(i) = i**3 - i**2 - i - 2. Let q(c) = -b(c) + f(c). Suppose 0 = -5*r - 3*w + 2*w, -w = 0. Calculate q(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 6*j**2 + 5*j + 7. Let f(q) be the second derivative of q**5\/20 - 5*q**4\/12 + 2*q**3\/3 + 3*q**2 + 236*q. Give -6*f(y) + 5*m(y).\nAnswer: -y**3 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*y + 4*p + 1733, 4310 = 5*y - 3*p. Let b = 530 - y. Are -329 and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c7 (base 13) to base 11.\nAnswer: 55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1288302 and 115214?\nAnswer: 14171322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/23 (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 519*t**2 - 67030*t + 48221. Calculate k(-271).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130367.\nAnswer: 130367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -278 and 0.23.\nAnswer: -277.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p**2 + 4*p + 9. What is j(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15*((-10)\/(-4))\/(10*(-4)\/(-16))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 63, -5 in descending order.\nAnswer: 63, 39, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - p - 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2931084?\nAnswer: 2, 3, 13, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose -y - 4 = -r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.04 - 0.04. Let r = p + -5. What is the nearest to 1 in r, -3, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*x - 2*x**4 + 14*x**4 - 13*x**4 + 9*x**2 to h*x**2 + y*x**3 + n*x**4 + t*x + g and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*o + 12 - 37, 2*f - 22 = 4*o. Let l be f*(-95)\/15 - -3 - -5. Solve 5\/6*h**2 + l - 5\/2*h = 0 for h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from {q: 2, b: 10, o: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-16))**11\/(((d*d**(-1\/24)\/d)\/d*d)\/d**(-23)))**(2\/73) assuming d is positive.\nAnswer: d**(-4511\/876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 635663933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.59029ml in litres?\nAnswer: 0.00259029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlclckqcmpkkmpm. What is prob of picking 1 c and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from hsebsheeehebb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6098\/71577 - 29\/297. Let z = -7969737643\/3856 + 16534713\/8. Let t = r + z. Calculate the common denominator of 109\/20 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284112 is divided by 2332?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 8*j - 239. List the prime factors of m(17).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 49751126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 496*k**3*z + 2*k**2*z + 2788*z - 2 wrt k?\nAnswer: 1488*k**2*z + 4*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 256348 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**6\/90 - q**5\/60 - q**4\/18 + 5*q. Solve h(g) = 0 for g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*q + 30, -i + 3*q - 77573 + 77579 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30629218?\nAnswer: 2, 109, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 25299 in increasing order.\nAnswer: 2, 10, 25299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -b + 18, -25*i = b - 21*i + 14. Let z(n) = -n**2 + n. Let p(c) = 5*c**2 + 5*c. Let t(m) = b*z(m) - p(m). Let o(h) = 3*h**2. Calculate t(o(g)).\nAnswer: -63*g**4 - 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7707492 and 10.\nAnswer: 38537460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128524 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 966 - 840 = -5*u, 0 = 3*t - 3*u - 1341. What are the prime factors of t?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19910*i*w - 40868*i - w wrt w?\nAnswer: -19910*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(2\/23) assuming f is positive.\nAnswer: f**(-4\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/116920 and -133\/30.\nAnswer: 350760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4365 (base 10) in base 3?\nAnswer: 12222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/7)\/l**(-2\/19))**37*((l**(1\/2)\/l)\/(l\/l**(7\/2)))\/(l**(-2\/11)*l**(-1\/13)\/l*l) assuming l is positive.\nAnswer: l**(418620\/19019)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148861?\nAnswer: 148861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 108\/23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/3 + 4*t**2 - 90*t + 800\/3 = 0.\nAnswer: -16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 524999986\/21 - (-2)\/3. Round n to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.15719cm to micrometers.\nAnswer: 271571.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1076548260 to the nearest integer?\nAnswer: 32811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) -49 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 992 and 4836?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 6)*(-16)\/(-20). Let x be (-1 + -6)*(-8)\/28. Let o be ((-2)\/(-5))\/(3\/120). Solve v - w = x*v + 6, -o = d*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7891437 is divided by 2630460?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/4 (b) -61 (c) 23 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22093181.\nAnswer: 11, 19, 37, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3\/3 + 890. Let w(d) = -4*d**2 + 60. What is w(h(r))?\nAnswer: -4*r**4 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, -5, -1\/3, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 0*g + g - g - 157*g**3.\nAnswer: -157*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) + -6*-2*sqrt(896))\/((sqrt(147)\/sqrt(3))\/sqrt(7) - -1*sqrt(112)).\nAnswer: 104*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3926495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-3)\/(-3))\/(1112\/130104)*(-2)\/(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/(-14) + (-18)\/(-63). Let i = 9 + n. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -274.8 + 236. Let w = -21.79 + 0.79. Let c = w - y. Round c to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1152582*j**2 + 5317*j - 87 wrt j.\nAnswer: -2305164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 26 = -5*i, -2*m - 5 = -2*i + 7. Let v be ((-4581)\/(-252))\/((-2)\/(-8)). Let g = -73 + v. What is the nearest to m in g, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.5759087 to two dps.\nAnswer: 32.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -45, -69, -93?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 290 - 346. Solve -t*v + 28 = 42 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2164 + 2416. Solve -247*b - 15 = -q*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 divided by -1?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 7448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009962 - -5248.8?\nAnswer: -1004713.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -630980734859 and 0.3?\nAnswer: 630980734859.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8129 - -8128. Put -5, h, -53 in decreasing order.\nAnswer: h, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34245691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 144, 592, 1338, 2382, 3724, 5364?\n\"Answer: 149*p**2 + p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 102.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16470 by -10.\nAnswer: -1647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*l**3*o**4 - 4*l**3*o + 15*l**2*o**2 - 2*l*o**3 - 2*o**4 + o**2 wrt o.\nAnswer: -480*l**3*o - 12*l - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 7*b + 13. Let j be u(2). Let n(p) = 18*p**2 - 13*p + 33. What are the prime factors of n(j)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n. Let a(s) = 38 + 11*s - 2*s + 8*s - 41. What is m(a(b))?\nAnswer: -187*b + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 22\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:48 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11685)\/(-287) - (30 - -11).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n - 50. Let o be m(10). Suppose -7*q + o*q = 182. Let w(l) = 2*l**2 + 52*l. Let h be w(q). Which is smaller: h or -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190908660 divided by -38181732?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 149*j + 6144 = 73*j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - (3 + -2)\/((-6)\/1902)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.351 times -2.988?\nAnswer: -13.000788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*l - 165*l - 3*t = 19418, l = -5*t + 3878. List the prime factors of l.\nAnswer: 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x**2 - 3*x - 1. Determine h(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13*z*z**(-16))\/(z*z**3*z*z**(-11)) assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/188 and -2\/7.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*-7*(-2478)\/(-31801).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 79848?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 51, 25, 1, -21, -41, -59?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301 - 2?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (544*a + 230*a + 16*a)*(2*a + a - 13*a)*(a**2 + 0*a + 0*a).\nAnswer: -7900*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y + 15 = 0. Suppose 0 = -3*q + y*z + 76, 0*q - 40 = -q - 2*z. Calculate the remainder when 93 is divided by q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/2389, -3\/7, 2\/59, -6?\nAnswer: -2\/2389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) -2\/209 (c) -2\/27 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88915789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -6 + (-13 - -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - s + 3*g = 7*s, -4*g = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02095134 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/395757 and -197\/2340.\nAnswer: 102896820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4825235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6118*s**4 - 2009*s**2 - 2*s - 2 wrt s.\nAnswer: -146832*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8476 greater than or equal to 8476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g - 69. Let r = 66\/7 + -205\/21. Is r < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + (19 - -16) + -87?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-128)\/56)\/(1\/((-7)\/2)). Calculate the highest common factor of d and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d + 241. Give q(-53).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*q - 2*p - 86, -28 = -q - 2*p. Calculate the remainder when 110 is divided by q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuyuy. Give prob of picking 2 u.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*k + 4*j - 21 = -32 + 277, 32 = -4*k + 3*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*c - 25 = 0, 3*y + 0*c = 2*c + 30. Let h be y - 4\/2 - 1. Suppose h*f = 7*f - 466. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5916638 is divided by 5689?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-70)*2 + (-3912)\/120?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -119, -179?\n\"Answer: -60*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**4 + s**2\/2 + 1. Let w(g) be the second derivative of o(g). Is w(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 519\/1211*(-3)\/((-63)\/14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25177 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51\/(-68)*16\/(-1). Suppose -a*q - 2 = -14. Suppose -v + 5*x + 1 = -3*v, -5*v - 2*x + 8 = 0. Solve -k + v = q, 5*g - 5*k + 15 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 207*u + 204*u - 6 = 0, 4*i = -11*u - 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 18*k**2 + 5*k + 76. Give s(-15).\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -7\/5*f**5 + 0*f - 24*f**3 + 46*f**2 + 0 - 19\/180*f**6 - 1\/315*f**7 - 9*f**4. Factor z(k).\nAnswer: -2*(k + 1)*(k + 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 123 - 43. Let l be 13\/((-520)\/(-16)) + 54\/(-10). Let b(k) = -23*k - 75. Let x be b(l). Calculate the highest common divisor of z and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8957 - 8957 + 5*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2636366.\nAnswer: 2, 1318183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -572*a**3*j**3 + 745*a**3*j - a**3 + 132*a*j**4 + 6*a*j wrt j?\nAnswer: -3432*a**3*j + 1584*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21\/(-30))\/(-7))\/((-1)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u**3 - 8963*u**2 + 493698*u - 27400 = 0.\nAnswer: -548, 1\/18, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889802921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/42591432 and -11\/702.\nAnswer: 383322888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*h + 5*o - 3, -2*o - 4 = 0. Let r be (-25)\/h - -11 - 1. Solve 3*v - 6 = -5*g - 19, r*g + 33 = 2*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -4) + 12 - (-4 + 6 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -585*c**4 - c**3\/3 - 2*c**2 - 12*c - 7046. What is the third derivative of i(v) wrt v?\nAnswer: -14040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1700)*-1)**2*-4.\nAnswer: -6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 2956*r + 5928.\nAnswer: -4*(r - 2)*(r + 741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5135 + 10785. What is the greatest common factor of 50 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 24, -5*p = -82*w + 84*w + 40 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (20\/5 - 4) - -4. Let a = -5 + 7. Suppose 0*u - h*u = -a*z + 2, -4*u = 5*z - 5. Let s(y) = y**2 - 1. Determine s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0731 * 1.37087\nAnswer: -0.100210597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**46\/(x*((x\/(x**2\/x))\/x)\/x)**(-13\/4) assuming x is positive.\nAnswer: x**(303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.065 (b) 0.139 (c) -2\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -17401 and -17401 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10862516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 392312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.9 + 5.9000186. Round o to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = -4*y - 4, -4*r - 5*y = 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 15. Find z, given that -4*z - k*z**2 + 3*z + 3*z**3 - 5*z = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1081 or 0?\nAnswer: 2\/1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Suppose 3*x - 6 = 2*x. Let i be h(x). Let g(k) = -k**3 + 7*k**2 - 6*k - 7. What is g(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*r + 11. Suppose -2*t + 3*o + r + 19 = 0, -o + 15 = 5*t. Which is the second smallest value? (a) 1\/4 (b) 2\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**5 + 22576*x**4 - 31786884*x**3 - 191625304*x**2 + 127147600*x + 766140000 = 0.\nAnswer: -6, -2, 2, 2825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = -6. Let p be (-3 - t)\/((-6)\/3). Suppose p*c - 6 + 2 = 0. Solve c*q + k + 3 = q, q - 4*k = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*v = -1, 3*v - 4 = 7*v. Let y = 50 - -13. Calculate the remainder when (-505)\/(-45) + (-14)\/y is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 430\/423897 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, 115, 254, 449, 694?\n\"Answer: -n**3 + 37*n**2 - 27*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 6:46 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:40 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqoomqmkk. Give prob of picking 1 o, 1 k, and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009154013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6201400939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -277, -460, -643, -826, -1009, -1192?\n\"Answer: -183*g - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150169, -300351, -450533?\nAnswer: -600715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*d**2 + 21*d - 7*d**2 + 7*d**2 - 7*d**2 wrt d.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 13) + 9 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368960 is divided by 5981.\nAnswer: 4119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155908, 312028, 468362, 624910?\nAnswer: 781672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4599 - -0.0129. Round m to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*82\/(-8) + 1\/2. Let i be (-2*o\/(-8)*-1)\/1. Solve i*p = -5*l + 11 + 14, -4*l = 5*p - 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22235917 is divided by 426?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 3*c**2 + 4*c**2)*(3 - 3 - 2*c) + (c - 3 + 3 + c**2)*(0*c - 5*c + 4*c).\nAnswer: c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7184*o - 330461. What is l(46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 469468632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 0.06, 1, 2, 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - h + 21 = 0, q - 5*q - 2*h = -2. Let x(a) be the third derivative of -5*a**4\/24 - a**3\/2 + a**2. Give x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 4*s**2 + 6*s + 5. Let v = 7 - 32. Let d be 10\/v - (-23)\/(-5). Let l be u(d). Is 2\/9 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Let x be ((-117)\/(-6)*-2)\/((-6)\/4). Suppose 20 = -3*s + x. Let w(f) = 11*f**s - 14*f - 10*f + 24*f. What is p(w(r))?\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -361 + -145. Let o = q - -618.6. Let y = o + -113. Which is the third smallest value? (a) y (b) 0.1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-36)\/(-10) - 21\/15. Is d <= 3\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -35*n**2 - 58*n - 37. What is d(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*p = -116*p + 1717986. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.1, 4, 0.0377, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 3.1. Suppose -4*d - 10 = -9*d. Which is the nearest to -0.1? (a) p (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 23 + 33 = 0. Suppose 5*k = 2*r + 9, 3*k + k + c*r = 27. Suppose -6*d = d - 14. Solve 5*t = 4*p - 15, 4*t + k = p + d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.37.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, r: 3}. Give prob of picking 2 r and 1 h.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**2 + 38*p - 9*p - 10*p**2 - 72*p + 56*p + 26*p.\nAnswer: -2*p**2 + 39*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 7*z + 47. Let k be d(-11). Suppose -w = -k + 8, 0 = -3*q - 4*w - 17. Put 2, 0, 3, q in ascending order.\nAnswer: 0, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 6:19 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*a = 447, 3*l + a - 153 = 303. Suppose -19 = 4*c - j - 2, -22 = 5*c - j. Sort 1, l, c in ascending order.\nAnswer: c, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8106614*w + 8106614*w + 326*w**3.\nAnswer: 326*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u*u**(2\/3))*u)\/(u**(-9\/4)\/u))**26)**41 assuming u is positive.\nAnswer: u**(29315\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h**2 - 19*h + 2. Let q(l) = 26*l**2 + 57*l - 5. Let i(w) = -8*d(w) - 3*q(w). Calculate i(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*l**2 - 8*l**2 + 246*l**2)*(-3 + l + 3)*(-2*l + 5*l - 4*l).\nAnswer: -274*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5355*k*m + 25761*m with respect to k.\nAnswer: -5355*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.12 + 2. Let p = w - -1.12. Suppose 0 = 5*i - u - 4*u - 40, i + 3*u = -8. Which is the third smallest value? (a) i (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2 - 8*c - 2. Let r(s) = s**2 + 1. Let t(u) = 6*r(u) + w(u). Let f be t(-8). Suppose -f*k - 4 = 4*m - 0, -4*m - k = 1. Is 2 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 27 = 2*d. Let o(g) = -g**2 + 11*g. What is the lowest common multiple of 24 and o(d)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 3960.53?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -610 - -616. Which is the closest to 0.12? (a) q (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/16*1 + 2. Suppose 11*n - 204 = -94. Let v be n\/(-2)*1 + (-20)\/(-20). Which is the second biggest value? (a) 2\/3 (b) 3 (c) v (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*n - 81 - 18 = 579 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13204.6422 to the nearest integer.\nAnswer: 13205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y = 88*y - 23575. Suppose -17*j + 2001 = -y. List the prime factors of j.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12983165953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-8 + 4 + 6). Suppose m*w + 39640040 = 5*w - p, -3*p = -15. Suppose w = 3*a - 13671991. What is a rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4)*7)\/((-208)\/1664)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1804121 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 311.4 - 311. What is the second smallest value in 1\/5, q, 0, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26*-526105.\nAnswer: -136787.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -801 by 9.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/9)\/((-6672)\/16605 + (-38)\/(-95)). What is the highest common factor of j and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 20. Let y = 4 - m. Let z = -11 + 58\/5. What is the closest to y in -2, -4, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 827, 830, 833, 836, 839?\n\"Answer: 3*l + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 11*i**2. Let f be o(-11). Suppose f = 3*b - 58 - 23. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169 - -165. Let l(w) = -8*w + 22. What is the remainder when l(t) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 0*t + 0*t)*(3*t - t - t) + t**2 - 3*t**2 + 6*t**2 to the form q*t + v + f*t**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 742434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a - 581 = -5*j, -4*j + a = -465. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282586133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80, 135, 176, 203, 216, 215?\n\"Answer: -7*u**2 + 76*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**3 - v. Let z be f(-1). Suppose 4*g + j = 171, 3*g = z*g + j - 127. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*i - 1372, -27*t + 5*i = -28*t + 662. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 724*f**2 + 11648*f - 2157568.\nAnswer: 4*(f - 43)*(f + 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23103, -23102, -23101, -23100, -23099?\n\"Answer: i - 23104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-11 + -3 + 7 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/99 and 47\/1350.\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 + 12977875*p**2 + 113*p**4 + 124*p**4 + 447*p**4 + 165675*p**3 + 21*p**4.\nAnswer: p**2*(p + 235)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 310 = -58. Let l be (-10)\/(-3)*q\/(-10). What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**6\/120 + b**5\/120 + 2*b**3\/3 - 3. Let l(c) be the third derivative of f(c). Find the second derivative of l(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k - 8. Let f be 1 - 0 - k\/7. Which is greater: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/13, 2, -8\/35, -0.4, -0.2, 130\/23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116410 and 26110.\nAnswer: 43420930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**3 - p**2 - 6*p - 5. Suppose 71 = -11*h - 60*h. Give b(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 363 + 2*m**2 - 123 - 15*m + 0*m**2 - 2*m**2 + m**2. What is the units digit of l(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2124005t to milligrams.\nAnswer: 212400500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 - 105766.3?\nAnswer: -105762.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, -0.07, 7, 8, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2791*m - 1744*m - 5415*m + 518*m - 4108*m to the form q + w*m and give w.\nAnswer: -13540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2402415 by -480483.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**7\/525 + n**6\/150 + n**5\/150 - n**2 + 1. Let w(b) be the second derivative of z(b). Factor w(a).\nAnswer: 2*a**2*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 + 110*o + 141 - 267 to the form q*o + t and give q.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(98)*-6)**2.\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/51*(-15)\/10\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 449583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 23*m**7\/5 - 23*m**5\/15 + m**4\/12 + 3*m**3\/2 - 2732*m**2. What is the third derivative of d(x) wrt x?\nAnswer: 23184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18937 - -34876. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/42 and 1\/6354?\nAnswer: 44478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 + -3?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0 + 0)*(1 + 1 + 0*j - 2*j)*(-666 + 2457 + 1375).\nAnswer: 12664*j**2 - 12664*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 217.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m**3 + 14*m**2. Let r(d) = -21*d**3 - 29*d**2. Suppose -5*f + 10 = 20. Let h(g) = f*r(g) - 5*b(g). What is the third derivative of h(t) wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002001 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5451 or -5441?\nAnswer: -5441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3798 + 1852 - 2493 = -307*p - 3597 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t**3 - 5 + 4 + 1 + 111*t**3.\nAnswer: 29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15156 is divided by 505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/250 and 91\/172400.\nAnswer: 862000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00193292335 rounded to 5 decimal places?\nAnswer: 0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 20. Let q = n + -41. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-15)*(0 - 135). Suppose 0*u + o = 3*u. What is the remainder when u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-8 + 2 - -8) - -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Suppose -14 + j = -4*d + 2*q, 4*d + q - 7 = 0. Find the third derivative of 2*m**6 + m**2 - m**6 + m**d wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/72 - (-273)\/(-3276).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130440352 - 4?\nAnswer: -130440356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 + 0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 108.458.\nAnswer: -108.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, z: 11}. What is prob of sequence eezz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and 680.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from zoogqqzzroqoqoggor?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*q + 4, 7*q = 2*q - 25. Suppose -3*f + o + 170 = 0, 5*f - o - 4*o - 270 = 0. Suppose f = 2*b - 8. What is the remainder when b is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 8*j**2 - 3*j - 4. Let w be q(7). Let o be ((-1)\/(-2))\/((-4)\/w). Suppose 2 = -3*z - 1. Which is the nearest to 2\/3? (a) 3 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 20 = -l, -99 = -4*c + l - 135 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 - 185*u**4 + 2395*u**3 - 13015*u**2 + 28800*u - 18000 = 0. What is u?\nAnswer: 1, 4, 5, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16823556 by -549.\nAnswer: -30644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6943 and 7115003?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**2 + 79*x - 1. Let m(r) = 5*r**2 - 46*r. Let a(s) = 7*m(s) + 4*w(s). Let j(z) = -2*z**2 - 19*z - 11. Calculate 8*a(q) - 3*j(q).\nAnswer: -2*q**2 + 9*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*15\/100)\/(4\/48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, -5, 5, 1, -62.\nAnswer: -62, -5, 1, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91931 and 483?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8)*12\/(-9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001926 rounded to five decimal places?\nAnswer: -0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 180\/3330 - (-113)\/(-37). Let o(r) = 3*r + 12. Let x(y) = 4*y + 13. Determine t*o(f) + 2*x(f).\nAnswer: -f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-337 - 372 + 69 - 729)*(-i - 3*i + 2*i) as n*i + s and give n.\nAnswer: 2738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2093 + 1.1523. Round n to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104.92 - 102. Let l = 0.08 + k. Which is the nearest to 2? (a) 4 (b) l (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 196 = 104. Let w be (-8)\/(-10)*(h\/(-20))\/3. Sort w, -8\/3, -3, -2 in increasing order.\nAnswer: -3, -8\/3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((9\/(-3))\/((-42)\/(-28)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(1 + ((sqrt(176)\/sqrt(4))\/sqrt(4))**2)*3*1.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 717070, 717036, 717002, 716968, 716934, 716900?\nAnswer: 716866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -2. Suppose -4*z + 16 = -3*f, 2*z = -0*z + y. Suppose 4*c = i + 2*i - 37, f = -3*i - 3*c + 51. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = 7*i - 11. Let t be (17\/34)\/((-2)\/i). Suppose -151 = -2*p + 3*m, 86 = -3*p - t*m + 265. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in sixty-four fifths of a micrometer?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -225*g**3 - 24*g**5 + 378*g**2 - 16*g**5 + 24*g**4 - 27*g**5 + 70*g**5 = 0.\nAnswer: -14, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-75))\/(-1*8\/(-40))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-5\/6))\/j)\/j**(1\/4))\/(((j\/j**7)\/j)\/((j**(-14)*j)\/j)) assuming j is positive.\nAnswer: j**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -12\/5, -35, -2, 20, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Suppose 9*w - k*w = -180. Round w to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71333\/20826 - 42\/1157. What is the common denominator of l and 2328\/(-504)*(-7)\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:29 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:49 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92615 divided by 2.\nAnswer: -92615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = 0, 4*q = -3*u + 2*q + 8. Suppose -2 = z + 1. Let o be 2*((-6)\/z)\/(-2). Is u smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 4*b + 4. Let d = -9 - -34. Suppose -7*k = -12*k - d. Does 2 divide h(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 10*r + 3. Calculate h(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 25*u = 105*u + 7473 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 10912 - 34852 = 0. What is the greatest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/549 + 6\/61. Let d(x) be the second derivative of 5*x + 2\/3*x**2 - p*x**4 + 1\/5*x**5 - 2\/3*x**3 + 0. Factor d(m).\nAnswer: 4*(m - 1)*(m + 1)*(3*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -62, -2, -238 in descending order.\nAnswer: -1, -2, -5, -62, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 8*n**2 + n - 3. Let q be v(4). Calculate the greatest common divisor of q and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10948 - 547357\/50. Find the common denominator of s and -71\/550.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(76 + 52 + 42)*(3 - 5 + 3 - 4*v**2).\nAnswer: -1360*v**2 + 340","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*r + 35. What is the highest common divisor of r and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9044\/4998)\/(12\/189))\/((-69)\/30 + 2).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10012499, 10012500, 10012513, 10012544, 10012599, 10012684, 10012805?\nAnswer: 10012968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-2*v + v + 2*v) + 0*v + 2*v - 4*v - 2 + 2 - v + (-v - v + 0*v)*(4 - 1 + 1) in the form i + x*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(1122\/(-77))*(9*2\/(-147))\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)\/o*o**(1\/7))\/(o**(1\/2)*o\/(o**(-5)*o)))\/(o**(-3)\/(o**5*o)*(o**(-6)*o)\/(o\/(o\/(o**(-1\/3)\/o)))) assuming o is positive.\nAnswer: o**(181\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 1. Let c be ((-8)\/(-10))\/(4\/10). Let v be m(c). Let q(o) = o**2. Is q(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1309.1 - -1286.1. Sort 0.9, 4, t.\nAnswer: t, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(672\/(-80)))\/(450\/120).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605 divided by 2357.\nAnswer: 605\/2357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 2774, 7240, 13492?\nAnswer: 21530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 19, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0848726921 rounded to six decimal places?\nAnswer: 0.084873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15980 - 31954 - 2*a + 15974.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 13*v + 8. Let t be b(16). What is the common denominator of -9\/10 and ((-4)\/(-6))\/(-6*t\/1044)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -557, 2386, -4?\nAnswer: 2386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from oododdd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m - 10 = 0. Let n = -35 + 25. Let q = n - -7. What is the biggest value in m, -2, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -35 + 6 - (0 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33286 + -1063429.2?\nAnswer: -1096715.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5647 and -2?\nAnswer: 11294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 26*f**2. Let a(j) = 16729 - 369*j + 28*j - 16729. What is g(a(x))?\nAnswer: 3023306*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -18. Let r = x - 6. What is the closest to 2\/5 in r, -4\/7, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 211215686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*w**2 + 16*w**3 - 95*w**2)*(-19 - 16 + 8 - 77).\nAnswer: -1664*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -350, -762, -1268, -1862, -2538, -3290, -4112, -4998?\n\"Answer: i**3 - 53*i**2 - 260*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3717, -14894, -33517, -59574, -93053, -133942, -182229, -237902?\n\"Answer: 2*g**3 - 3735*g**2 + 14*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/6804*-7)\/(6\/18).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 4614326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 9*f + 2. Let c be t(-9). Suppose q + c*q = 357. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*32.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = -10. Let a = -36 + 36. What is the units digit of (-44 - w)*(a + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 49*r**2 + 90*r - 53. Determine b(-47).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2959330 is divided by 2084?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 - (-522)\/162. Let h(u) be the second derivative of -5\/2*u**2 + 0 - 2\/3*u**i - 3*u. Differentiate h(l) with respect to l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**2 - 6*w - 24. Let y(g) = 7*g**2 - 4*g - 16. Calculate -5*m(n) + 8*y(n).\nAnswer: -9*n**2 - 2*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -10 - (-11 - -10 - 6) - (-12 + 105).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -64 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 835813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.38 - 0.48. Round f to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32774\/439 + 163256447\/9658. Let d be (-5335)\/(-44)*(-141 - -1). Let p = d + y. Find the common denominator of p and -59\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1298343*h**4 - 2*h**2 + 10*h + 52695?\nAnswer: 15580116*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 + 189 + 177)*(-p + 3*p + 0*p)*(p**3 - 2*p**3 + 2*p**3) - p - p**4 + p + (2*p**2 - p**2 - 2*p**2)*(-4*p**2 - p**2 + 3*p**2) + 0*p**4 - p**4 + 2*p**4.\nAnswer: 948*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18 + 536*b - 19*b**3 - 18 - 341*b**3 - 1509*b wrt b.\nAnswer: -2160*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163 + 13.8. What is b rounded to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**4\/12 + f**3\/6 + f**2\/2 + 6*f. Let i(p) = 4*p**2 - 3*p - 3. Calculate -6*d(h) - 2*i(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/((-3)\/(-10)). Suppose 4*a + 2*y - g = 5, -3*a - 3*y + 9 = 0. What are the prime factors of (a - 4) + (-10)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -27, -65, -119, -189?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:29 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7911356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*l)*(-2367*l + 7151*l + 401*l) + 0*l**2 + l**2 + l**2.\nAnswer: 10372*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -3538, -4?\nAnswer: -3538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1677*y = 2*k - 1682*y - 6, 8 = -k - 3*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 125*v - 34. What is the units digit of d(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 18*r + 135 - 387 = 0 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 2*k**3\/3 - 2. Let o be 2\/(-8) - 7\/(-28). Let f(l) = o*l**2 + 0*l**2 + 6*l**2 - 4*l**2. Determine f(r(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/12 + (-3759)\/(-12). Let q = i + -611. Is (q\/2*2)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 1 + (-20)\/110*-11. Let k = c - 5. Suppose -34*r + 20 = -30*r. Solve r*n - k*n = 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbn when three letters picked without replacement from {v: 1, n: 2, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 52. Let p(a) be the third derivative of -5\/24*a**4 + 1\/120*a**6 + 0 + 2*a**2 + 1\/15*a**5 + 0*a**3 + 0*a. What is p(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**2 - 1655058*c + 228268081947 = 0.\nAnswer: 275843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/1685376599 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/60 + 7*u**4\/24 + u**3\/2 - 6*u**2 - u. Let a = 20 + 5. Let h = 18 - a. Calculate k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k + 6. Let p be f(-4). Let y be ((3 - 6) + 1)*p. What is the common denominator of y\/(-14) + (-8)\/(-4) and 39\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*w - o + 1476, -5*o + 883 = 3*w. Is w equal to 297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 550341775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 11. Let m be o(5). Let s be (0 - 1) + m*19. Suppose 3*p - 154 - 62 = 0. What is the highest common divisor of p and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 23*y**2 - 15*y + 15*y + 11*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002874 rounded to six decimal places?\nAnswer: -0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2253667 = 21*n + 2253961 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 51 = -6*r. Suppose -2*z + z + 1 = 0. Is z not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 8, 0.3, -0.1, -14, 1\/2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588, 598, 608, 618?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 0)*(-45)\/27. Let v(j) = -j**3 - 3*j**2 - 3*j. Let u be v(-2). Suppose -5*z = -u*z. Sort z, y, 4 in decreasing order.\nAnswer: 4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57.15305 + 0.15305. What is the nearest to 0.3 in -0.5, -2\/27, c, -2?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*-2 + (-2 + sqrt(17))*-5 + (sqrt(34) - sqrt(544)*1)\/(2*sqrt(288)).\nAnswer: -217*sqrt(17)\/8 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 159952*x**2 - 2.\nAnswer: 159952*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 12:58 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3 + 2 + g - 1 + 8 - g**2. Let n be c(0). Solve -h = -n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -t + 48, -12*t = -4*q - 9*t + 64. Which is the closest to -2? (a) 3\/2 (b) q (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = c, 2*c = -2*n + 7*c + 4. Suppose 0 = 3*a - 16 - n. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-14))\/((-3)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5875*t - 4620 = 5710*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 minus 6805.992?\nAnswer: -6806.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 34. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3765 and 502?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = 1. Let z(t) = 12 - 9 - 2. Let g(u) = u - 2. Let h(s) = -1. Let c(i) = 2*g(i) - 3*h(i). Determine y*c(x) + 3*z(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 456341 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j + n, -54 = -5*j - 4*n - 12. Suppose -2 = -i + j. Let v = -2855 + 2874. Calculate the remainder when v is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -8 - 6) + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011000 - 0?\nAnswer: -11011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.89 - 0.6. Let k = i - 0.123. Round k to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9052?\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 61, -18, 3, -4.\nAnswer: -18, -4, 1, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvr when three letters picked without replacement from vfdfcrb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2102280?\nAnswer: 2, 3, 5, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 432831404 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:30 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16044659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 8*k = -3*k + 18, -4*g = 3*k + 4. Which is the closest to -0.51? (a) 0.5 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*v**2 - 23*v**2 + 37*v**2.\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*y + 10, 4*n - 26 = 2*y - 14. Is n at least as big as 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37498177.99999963 - 37498145. Let y = -0.057 - 32.943. Let h = y + v. What is h rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7470, -7406, -7342?\nAnswer: -7278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3345 and 6700?\nAnswer: 4482300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.5442 rounded to the nearest integer?\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*q + 4*z, -5*q + 5*z + 34 = -2*q. Let d = q - 1. Suppose -5*g - 507 + 192 = -5*n, d*n = -g + 132. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) - 36\/5. Let q(k) = 11*k**2 + k**3 + 0*k**2 + 3 - 4*k**2 - k. What are the prime factors of q(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**3 - 134*n - 25*n**4 + 3*n**2 + 3*n**4 + 112*n - 4*n**2 wrt n.\nAnswer: -528*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -244 + 565. What are the prime factors of f?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 + 5 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264 + 264.256. Let u = 0.056 - k. What is the closest to 3\/4 in -4, u, -38?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:41 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/292664133 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 4*c**2 - 2*c - 8. Let t be v(5). Let p(l) be the first derivative of 1\/22*l**4 + 0*l + t + 2\/11*l**3 + 2\/11*l**2. Solve p(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -4*r**2 + 12*r + 12. Differentiate q(c) with respect to c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -120*t**3 + 3*t**2 - 2*t - 6. Let c(y) = -238*y**3 + 7*y**2 - 5*y - 19. Calculate 2*c(x) - 5*m(x).\nAnswer: 124*x**3 - x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1835*t**2 + 47*t - 189. Is l(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308887653?\nAnswer: 3, 317, 379, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -127784?\nAnswer: -127803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p - 812. Let d be g(0). Let x = d - -7617. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 18*z**2 + 229*z + 929. Give x(-6).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -b0 (base 16) to base 10\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 v when three letters picked without replacement from {v: 3, c: 4, d: 13}?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -1a2cba66?\nAnswer: 1a2cba68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -122?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, -8, -4, 5.\nAnswer: -114, -8, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*s + 48, -2*a - 367*s + 372*s + 59 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 9*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/78)\/((-2)\/(-48)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + j + 2. Let f be y(0). Suppose -5*d - 138 = -f*d. Let q = d + 83. Solve 4*c + 5*k = -q, 5*c + 4*k = -51 + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26187 (base 10) to base 4\nAnswer: 12121023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 < 11664.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1329*r - 349514. Calculate x(263).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119867631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 0*f + 2937 - 29*f**2 + 61*f**2 - 9609.\nAnswer: 32*f**2 - 2*f - 6672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h + 125 = 0. Let u be -3 - (3 + (-20)\/4 - (-2112)\/84). Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48298.\nAnswer: 2, 19, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**3 - 11*q**2 + 4*q - 5. Let c(w) = -13*w**3 - 21*w**2 + 8*w - 9. Let i(b) = -6*c(b) + 11*l(b). Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*n - 155 + 115 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/14)\/((63\/18)\/(-7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*q - 1486 = -46 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (865*z - 4 - 1752*z + 844*z)*(2 - 4 + 0) as c + s*z and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2465 to 2 dps.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(153) + -2)*1 - -5*(sqrt(153) + 1 + sqrt(153))))**2.\nAnswer: 330*sqrt(17) + 18538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 6*j + 2. Let k = -14 - -17. Let v be (3\/2)\/k*-8. Give a(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -342, -1, 1, 2, 5, -14 in increasing order.\nAnswer: -342, -14, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 8*p - 14*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/11, 0.19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 10. Let a be ((-24)\/9 - -4)\/(2\/6). Put -9, x, a in ascending order.\nAnswer: -9, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/54 + 10*p**3\/27 + 25*p**2\/9 + 17*p. What is s in d(s) = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**7\/14 + k**6\/5 - 3*k**5\/20 - 19*k**2 + 1. Factor z(j).\nAnswer: -3*j**2*(j - 1)*(5*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.54 times 119154?\nAnswer: 421805.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-192*m**3 - 82*m**3 + 1347*m**3)*(-m + 3*m - 4*m) in the form y + s*m**3 + v*m + k*m**2 + d*m**4 and give d.\nAnswer: -2146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -e13 (base 15) in base 13?\nAnswer: -1599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 + 117*i + 1024. Give f(-7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104*m**2 - 16 + 6*m - m + 83 - 5*m wrt m?\nAnswer: 208*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*l + 261, -2*l + 59 - 494 = -5*k. Suppose d + 0*d + k = s, -4*s + 5*d = -344. List the prime factors of s.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0 - 1\/2*d**4 - 14*d**2 - 11\/120*d**6 + 0*d**5 + 0*d + 0*d**3. What is the second derivative of x(r) wrt r?\nAnswer: -66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2239729 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -24367179 and -24367178 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 0.1. Let x = -78574.7 + 78575. What is the second smallest value in 0.9, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 6*w + 9. Let m be o(-7). What is the derivative of -7*v**4 + m*v**4 + 2 - 2*v**4 - 3*v**4 wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -138, -196, -254, -312, -370?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19524 - -19523. Which is greater: 2\/45687 or f?\nAnswer: 2\/45687","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75108.7337 to the nearest ten.\nAnswer: -75110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = -5. What is the remainder when 11 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 + 404*o**4 + 648*o**3 - 13904*o**2 + 34592*o - 25344 = 0. What is o?\nAnswer: -99, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 25) + -14 + 12 - (-212)\/26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2680 and 5360?\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 6*c**2 - 3*c + 4. Let m = -414 + 418. Let v(r) = 2*r**3 + 5*r**2 + 4*r - 3. What is m*v(l) + 3*a(l)?\nAnswer: 2*l**3 + 2*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523680 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 40*k**2 + 357*k - 50. Calculate l(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -620 divided by 124?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 16 - (0 + -3) - (-74)\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75255 divided by -25085.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c4 (base 15) to base 5.\nAnswer: -11414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 765, 0.3, 4, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 23 + 464*p - 489*p.\nAnswer: -25*p - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3595587983.\nAnswer: 13, 276583691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*i + 428, 0 = s - 2*i + 50 + 30. Let b = s + 237. Suppose 6*v - 2*v + 4*m = 140, b = 4*v - 5*m. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9844 + 10578. Calculate the remainder when w is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*d - 7 = 0, 4*x + 80243*d = 80242*d + 47 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 5. Let s(f) = -23*f + 0 + 3 + 22*f. Let r(x) = -3*h(x) + 5*s(x). Let z(d) = 4*d - 3*d + 2*d. Give r(z(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68 - 45894?\nAnswer: -45962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 3*c**2 - 3*c - 9. Let j be v(-4). Suppose 60 = 7*y - j. Suppose 31 - y = 2*m. Solve -n = 3*o + 12, -m*o = -5*n - o + 25 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 2. Let t(p) = -73 + 306 + 16*p**2 - 236. Determine t(l(w)).\nAnswer: 16*w**2 + 64*w + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -0.28?\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -729*l**2\/5 + 27*l + 6\/5.\nAnswer: -3*(9*l - 2)*(27*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12665, 12670, 12675, 12680?\nAnswer: 12685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/7 + 2*f - 20\/7 = 0. What is f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 - 14821*d**4\/2 + 100299*d**3\/2 + 278453*d**2\/2 + 196745*d\/2 + 16704 = 0. Calculate d.\nAnswer: -3712, -1, -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 206734888?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/15)\/((-19)\/(-1425)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**3 + n**2 - n - 2. Let f be b(-1). Suppose -f*i = -2*i, -4*i = 3*k - 492000. Round k to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 289511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9591 is divided by 637.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1033*l**3 + 256*l - 171*l - 85*l.\nAnswer: -1033*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*w - 2*w = 88, 0 = w - 1. Let p = c - 26. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -1190, -5, 2, -4, 1 in descending order.\nAnswer: 31, 2, 1, -4, -5, -1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 + l**2 - l. Let r be y(1). Suppose 4*j = j - 6. Let z = j - r. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10504105153 + 4?\nAnswer: -10504105145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92719579\/74 - -1252912. Let j = -116516\/185 + g. Let v = j + 688. What is the common denominator of v and 101\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z + 86. Let h be y(14). Solve 3*x + r = -r + 6, 4*x - h*r = -6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = -614*q + 510*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 989*v**2 - 122*v**2 - 194*v - 3 + 194*v.\nAnswer: 867*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*k + 6*k - 12*k as r + g*k and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14532\/(-5040) + (-1)\/2*0 and (-635)\/(-80) + (-8)\/2.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**5 + 4*v**5 - 3*v**5)*(-84 + 177 - 79)*(4 - 1 - 5).\nAnswer: 56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2. Let k(s) = -10*s**2. Let h(c) = 16*i(c) + 5*k(c). Let d(b) = -4*b. What is d(h(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 2*p + 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/1889 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16680 divided by 15.\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - 12*f + 3. What is the units digit of o(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762457979 to the power of 1\/4, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -29. Suppose l*d = 3*r + 3*d + 5, -4*d + 16 = 0. Solve -r*z = -7 - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4179505?\nAnswer: 5, 11, 75991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172605455*k**2 + 38622182*k?\nAnswer: -345210910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + -18. Let o = -9902 - -9868. Which is greater: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 73870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 2*h - 1. Let t be m(-1). Let n(j) = -j**3 + 7*j**2 - j + 9. Let v be n(7). Which is greater: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) + 4)*1 - 4*(sqrt(90)\/sqrt(5))\/sqrt(6))*-2)**2 + -1 + 3.\nAnswer: 128*sqrt(3) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218461034, 218461037, 218461040, 218461043, 218461046?\nAnswer: 218461049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, d: 5}. Give prob of picking 4 d.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2, -2*f + 544 - 1755 = -x. Which is smaller: -593 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159751 or 159558?\nAnswer: 159558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193717 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2 + -3 + 504)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s + 126. What is h(8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a meter in centimeters?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 213.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 16*i - 16 = 0. Suppose i*r = 16*r - 32. What is the biggest value in -1\/2, 0.3, r, -0.7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 624 + -514. Let p be -2*(-12)\/(-32) + r\/8. Calculate the greatest common factor of p and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 96*i - 251. List the prime factors of x(159).\nAnswer: 101, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38*(-2)\/(-32) + -2. Let l = -111 + 998\/9. Let w = 200.9 - 201. What is the nearest to w in l, p, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38632 - -44420. What is the lowest common multiple of j and 4?\nAnswer: 5788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163192860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epeeeeppeeeeeepeee. Give prob of picking 4 p.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 + (-48)\/(-18). Suppose -4*a = 4, -2*d = 2*d - a - 9. Solve r = -d*k + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -2613.738\nAnswer: -23523.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = n - 23, -3*n + 5*b + 20 = -17. Let p = -18 + n. Suppose 2*u - 2*d - 16 = d, -5*u + 3*d = -22. Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1*4\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52809 - 331?\nAnswer: 52488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 2*n**2 + 8*n + 4. Let x(t) = -t**3 - t**2 + t + 1. Let z(y) = -p(y) + 4*x(y). Factor z(o).\nAnswer: -2*o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-7) - ((-30)\/(-70))\/((-36)\/24). Is y bigger than 10\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269362371 to the power of 1\/3, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3043196 and 585.\nAnswer: 136943820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -2275001*k**3\/3 + 2*k**2 - 15*k. Let d be a(2). Round d to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1786616, 1786613, 1786610?\nAnswer: 1786607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-2 - (-7 + 26) - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 14*r - 1. Suppose 4*u + 18 = g, -g = -3*g + 3*u + 16. Suppose g*l = -1 + 3. Calculate p(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77 - -5?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 361.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 2*t + 5. Is m(5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2 - (34 + (-149 - (18 + -19))).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7940098 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 50. Suppose t = -2*t - 3. Let s = t - j. Solve s*l + 15 = -5*m, -2*m - 5*l - 1 - 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a344 (base 13) to base 12\nAnswer: 3a11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 22. What are the prime factors of (-3 - u)\/(3\/(-6))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3765 + 3875. What is the highest common factor of 400 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 6*i - 22. Let q be y(-6). Let z be q + 23 + (-2)\/5. Which is the fourth biggest value? (a) -5 (b) -0.2 (c) 68 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -22\/3 (c) 0.3 (d) 11 (e) -0.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 6. Let q = 27 + -19. Let r be d(q). Solve -r*k - 2 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 12*v - 1. Suppose 4*h + 16 = 0, 2*q - 3*h = h + 14. Let w be d(q). Let i = w - -18. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 106?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30464 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 119*d - 485 = 357*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swso when four letters picked without replacement from ssooooww?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-2))\/(2 - -7)*63\/(-210)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1215 - -102?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 44*y + 11025 = 0. Is y a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 46 = p - 85, 3*q = 2*p - 13. Solve -f + 10 = -4*o + 3, p = -5*o + 3*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqd when three letters picked without replacement from {c: 1, o: 2, q: 1, u: 1, t: 1, d: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 2?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 760, 2504, 5442, 9598, 14996, 21660, 29614?\n\"Answer: 4*i**3 + 573*i**2 - 3*i + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8 = 53. Let m = -55 + 97. Calculate the remainder when m is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324988635 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*i - 2 = -i, -5*o - 5*i + 20 = 0. Suppose o*y - 9 = y. Calculate the remainder when y is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*5\/((-40)\/(-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*2*(-12)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2\/6*1. Which is smaller: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*-5*12\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/8 + 599265*f\/2 - 119706180075\/2.\nAnswer: -3*(f - 399510)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (-3 + -2*sqrt(832)))**2.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 12, 8*b + 36 = 12*b - 4*q. Determine n, given that -48*n + 3*n + 3*n**2 + 42 + 0*n**2 - b*n**2 + 5*n**2 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2000, 1979, 1948, 1907, 1856, 1795, 1724?\nAnswer: 1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 156772 = 257605. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {o: 7, v: 2, d: 3}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2 - 2*p + 0 + 3*p - 2*p. Let g be ((-12)\/16)\/(1\/12). Determine w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -45*r + 4. Let k(p) = 14*p - 3. What is l(k(y))?\nAnswer: -630*y + 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 18*w**2 + 52*w - 231. Determine z(6).\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.018037kg in micrograms?\nAnswer: 1018037000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1883 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 3500?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from iarwrwihryyy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3, 2, -1, -62 in descending order.\nAnswer: 3, 2, -1\/6, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.4, -0.03, -1\/3, -4.94 in descending order.\nAnswer: 0.4, -0.03, -1\/3, -1\/2, -4.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -7*(-18)\/42 + 8332 - -5 is divided by 309?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.36 - 3.36. Let t = s - 25. Is 2\/3 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 80954431974.\nAnswer: 80954431974.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from elllellelll.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 216\/660 - 8*(-13)\/260. Let 10\/11*q + d*q**2 + 4\/11 + 2\/11*q**3 = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 12:34 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 45*a. Let r(n) = 2*n**2 - 22*n + 132. Let k(x) = -x + 6. Let d(p) = -88*k(p) + 4*r(p). Determine w(d(b)).\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -11 + 243. Let h = 239 - k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxvffvfff. What is prob of sequence vx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -3 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-8)*(18\/(-126))\/(108\/1008)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*f - 48*f - 1224 = -49*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 5:14 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -405935 divided by 5\nAnswer: -81187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -1\/3, 6, -3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/6)\/(z*z**(-3)) assuming z is positive.\nAnswer: z**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 4. Let s be g(5). Let k be (5 + -2)\/(25\/(-3109)). Let y = k - -373. Which is bigger: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -1000482.\nAnswer: -1000482, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 68. Suppose -v + 22 = p. Solve -32 = -p*d - 4*u, -d + 4*u = -0*d + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Let d = 0.4 + -0.1. Let j = 23.8 + -23.4. Sort d, j, v.\nAnswer: d, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11871 - 11843. Let h(g) = -2*g**2 + 58*g - 50. Determine h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2353460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927134056 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scsysscsysyy. Give prob of sequence yc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/835 - -4169\/1670. Which is the nearest to -1\/3? (a) 73\/5 (b) w (c) -0.2 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/60 + 13*a**4\/24 + 11*a**3\/6 - a**2 + a. Calculate s(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 + 24*y**2 - 8*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, t: 5, c: 2}. What is prob of sequence ct?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10622*t**2. Let p(u) = 113*u**2. Determine 6*m(c) + 565*p(c).\nAnswer: 113*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35333252.\nAnswer: 2, 29, 304597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 456953465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 2.4, -2\/3 in decreasing order.\nAnswer: 5, 3, 2.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 2*d**2 - 2*d + 2. Let u be t(2). What are the prime factors of 6\/5*u\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 4*s**2 - 5*s**2 - 4*s**2 + s**2 + s**2 + (0 - 1 + 3)*(-3*s**2 + 4*s**2 - 3*s**2) - 19*s + 19*s - 9*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 1 y when three letters picked without replacement from {x: 1, p: 1, m: 1, u: 1, l: 1, y: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 45144?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306355 is divided by 7471.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-3 - -6) - -148 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let c = -7 + n. Let z = -1 - c. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqfvfvevvvbvveqvvfv. Give prob of picking 2 f and 1 b.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16366693 + 4091679839\/250. Let t be 1*-2 + (-268)\/(-125). Let g = h + t. Find the common denominator of g and 41\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from rvbbmbbbbvvb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 748464 = 73008. Suppose -1936912 = -o - t. What is o rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18410864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -782, -1566, -2340, -3104?\n\"Answer: 5*u**2 - 799*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 74*p**3 - 4*p**2 - 2. Let o(a) = 147*a**3 - 7*a**2 + a - 4. Let u(c) = -5*h(c) + 3*o(c). Let x be (-2 + 1)*(8 + -9). List the prime factors of u(x).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3))\/(-4*(-14)\/(-448))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -29. What is the second smallest value in 4, -2\/9, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 - 6*i**2 + 9*i + 2. Calculate the remainder when u(3) is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42.4754 + 1.965\nAnswer: -40.5104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27921.\nAnswer: 3, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.32152ml to litres.\nAnswer: 0.01332152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.176908 rounded to 3 dps?\nAnswer: 0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4753 and 218850527?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47, 56, 65, 74, 83, 92?\n\"Answer: 9*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -2\/13, -0.3, 2038?\nAnswer: 2038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34, 41, 46, 43, 26, -11?\n\"Answer: -w**3 + 5*w**2 - w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 164*c**2 - 3*c - 11. Calculate y(-2).\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 46\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5+5998343039709\nAnswer: 5998343039714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3108 is divided by 1400.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 3*b**4\/8 + 153*b**3\/2 - 566. Solve d(i) = 0 for i.\nAnswer: -153, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*u = -154130 - 266059. List the prime factors of u.\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = -6*r + 501 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 470258582 to the power of 1\/2, to the nearest integer?\nAnswer: 21685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 39. Let u(j) = -5 - v*j**2 - 8 + 9*j + 4 - 12*j**3. Let s(y) = 3*y**3 + 2*y**2 - 2*y + 2. Let i be 26\/3 + 2\/6. Calculate i*s(m) + 2*u(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 644853011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/9))**(-37)\/(y**(-1\/2))**(13\/2))**(-18) assuming y is positive.\nAnswer: y**(919\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -1 (c) -82\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5350)\/4*(-30)\/25*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -4*u - 4*o, -154 = -5*u + u - o. Suppose 35 = -2*v + u. Suppose -1\/8*x**v + 0 - 1\/8*x = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 16 + 2 - (0 + 9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 440845*q**4 - 3*q**3 + q**2 - 788*q + 1863 wrt q.\nAnswer: 10580280*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8))\/(2\/(-8)). Let k be 1 - (q + 4 + 3). Let i = -8418 + 8422. What is the second smallest value in -1, i, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1183137.57 microseconds to days.\nAnswer: 0.000013693721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.058 * -0.1.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/(u\/(u*u*u**6*u)))\/(u**(8\/5)*(u**(3\/2)*u*u)\/u)*(u**(-1\/3))**(-1\/7)\/(u**(-2\/15)\/u**(1\/8)) assuming u is positive.\nAnswer: u**(3293\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + 5601f7?\nAnswer: 560200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9148 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6701041 - -0.5.\nAnswer: 6701041.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5850, -47026, -158778, -376392, -735154, -1270350, -2017266, -3011188?\n\"Answer: -5881*f**3 - 2*f**2 - 3*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84753 - 84753.5. Let g(w) = -3*w + 4*w**2 - 3*w**2 + 2 - 4. Let p be g(3). Which is the fourth smallest value? (a) -0.3 (b) 2 (c) o (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 175*g**3 + 3*g**2 + g + 6. Let i(h) = -350*h**3 - 5*h**2 - h - 11. Let v(p) = -3*i(p) - 5*w(p). Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*z = 694*z + 1352*z + 112848 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**3 - 8*h**2 + h - 2. Suppose -5*n = -3*x - 11 - 2, -3*x - 19 = n. Let d be j(x). What is d rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from guugugggggg.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/68076 and -131\/8509500?\nAnswer: 8509500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**7\/21 + 2*a**6\/15 - a**5\/10 - a**4\/3 + 2*a. Solve z(f) = 0 for f.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/14)\/(2594\/(-1428) - 2398\/(-1308))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -319\/5 - -61. Which is greater: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -57.7738 and -12.\nAnswer: -69.7738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/2)\/(-3)*(0 - 2). Find the second derivative of -5*t**3 - 5*t + 21*t - 7*t**k + 3*t**3 wrt t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.793898916 - 1.7939. Round i to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262581 divided by -297\nAnswer: -7957\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p = -78*p - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 49*j = -52*j - 41, j + 31 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 31. Let t be n(-13). Suppose 0*r - 4*g = 4*r + 12, -15 = -3*r + 3*g. What is the greatest common factor of t and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.7. Suppose -11*h = 74 + 25. What is the smallest value in h, 0.2, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 + 18 - (-4 + (0 - -2))) + 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 854 and 7564?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17*((0 - -2) + -1). Suppose 4*i = -3*l - 31, 0 + 2 = -2*i. Let j = l + n. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168922026 to the power of 1\/2, to the nearest integer?\nAnswer: 12997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**(2\/75))*c*(c\/c**(1\/3))\/c*c**(-7\/6)*c*c**18\/c)**(-3\/14) assuming c is positive.\nAnswer: c**(-397\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -119*i + 1. Let q be v(-1). Suppose -3*l + q = 4*o - 5*l, o + l = 30. Suppose 2*c + p = 4*c - o, 0 = 2*c - 5*p - 38. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 6*b**2 - 7*b - 3. Let y(w) = -2*w + 19. Let k be y(7). Suppose -k*t = 2 + 28. List the prime factors of a(t).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2940953, -2940952, -2940951, -2940950?\n\"Answer: a - 2940954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/12 + 298\/12 + 3. Solve 2 = 30*z - u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*b - 21*b + 36*b)*(0*b - 2*b**4 + 0*b) - b**5 + 4*b**5 - 2*b**5 + (2*b - 1 + 1)*(b**4 - 2*b + 2*b).\nAnswer: -149*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 + 295. Find the third derivative of -7194 - 5*h**2 - p*h**2 + 7202 + 134*h**4 wrt h.\nAnswer: 3216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-48))\/(-1*(-1)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**3 + 4995*m**2 + 1198695*m + 84422825 = 0.\nAnswer: -685, -157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-2 + 3 + 4. Suppose i + m = 20. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545 and 25095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g + 11268 = 353*g - 69*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 44*m**2 + 100*m + 12. Determine i(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9324 is divided by 598.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzzr when four letters picked without replacement from {r: 9, j: 2, z: 7}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-1)\/6). Suppose u*s + 4*j + 0 + 25 = 0, -4*j = 4*s + 40. Let l = 5 - s. What is the lowest common multiple of l and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 330.69+-388.419\nAnswer: -57.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 50 = 4*j, 0*p + 5*p - j - 114 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 12) to base 2\nAnswer: 101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 364c6?\nAnswer: -364bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41685 is divided by 1016.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 - 26. Suppose b = 4*g - 3*a, -4*g = -g + 3*a - 57. Solve 2*p + 5*c = -g, p + 0*c - c = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 2. Let c(p) = -p**2 - 4*p**r + 3*p**2. Let a(v) = 3*v + v - 5*v. What is c(a(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 812\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/7 - 23732*q**3\/7 + 6790*q**2 + 688428*q\/7 + 142416 = 0. Calculate q.\nAnswer: -11868, -3, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6460145 or -6460151?\nAnswer: -6460151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*r - 22 = 7*r, r - 4 = 4*k. Let o be (0\/k)\/(3 + -1). Suppose o = 3*g + 4*j - 33, 4*g - 5 - 35 = -4*j. Is g > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-18) - 2\/(-3). Suppose 3*a + 16 = 4*g, i*g + 16 = -5*a + 8*g. Suppose a = 4*r + 5*f - 54, -2*r + f = -5 - 15. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*a - 157*a - 151*a - 149*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 50, 65, 52, 5, -82, -215?\n\"Answer: -p**3 - 5*p**2 + 59*p - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*q**3 + 15*q - 7*q**3 - 12*q wrt q.\nAnswer: -138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 1. Let f(t) = 126*t**2 - 68*t + 1132. Let o(m) = 50*a(m) - 2*f(m). Factor o(r).\nAnswer: -2*(r - 41)*(r - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -223*p + 11. Let x = 130 + -132. Let w be z(x). Suppose -481 - w = -7*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/(3 - 854\/294)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 53 + 2 = 0. Calculate the remainder when w is divided by 1113\/168 + 40\/(-64).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 3*j - j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*q, -3*b - 2*q - 23 = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1905005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 105, 205, 305?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -63. Let a be (-150)\/(-14) + (-6)\/c. Calculate the highest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 17*c + 519. What is the remainder when r(-22) is divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*y - 10. Let v = 12 + -20. Let t = y + v. Solve 2*b - 2 = -t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:46 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - (3 + -3) - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/272 - (-249)\/69139*98?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + -3121?\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 - 208546*h\/3 - 347560.\nAnswer: -2*(h + 5)*(h + 104268)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -3864220.\nAnswer: 772844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 20) + (1 - (25 + -6))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 939 and 297663?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from {j: 3, v: 2, r: 1, c: 4, a: 4, k: 3}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37631*c**4*g**3 + 4*c**2*g**3 + 2*g**3 - 647658*g**2 + 2 wrt c.\nAnswer: -150524*c**3*g**3 + 8*c*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/3 or -14?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -21) + (-23 - -18) + -11 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 82.9*-0.04943\nAnswer: -4.097747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 8) + -1 + 0 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 49, -5, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 687.3412 years?\nAnswer: 0.6873412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-6))\/((-4)\/6). Let r(g) = g**3 + 4*g**2 - 6*g - 3. Let m be r(-5). Solve -m*a - 1 = -3*j + k, 2*j + 2 = -4*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1680 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2760521031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 12*d + 12*d - 6*d**3 - 6 + d**3 - 7*d**2 + 7*d**3 - 3*d. Calculate the remainder when s(5) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h + 174 = -4*d, -4*h + 3 = h + 3*d - 2 + 25 - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111110030 + 0?\nAnswer: 111110030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 24*u**2 + 6*u - 20*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 7 - 3)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:28 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 20.884\nAnswer: -563.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(0 + 0 - 2). Let r = g + -4. What is the derivative of -3 + 3*i + r*i**4 - 3*i wrt i?\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/5*(-25)\/(-15). Which is the fourth smallest value? (a) -0.2 (b) -11 (c) -2\/5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(72)*-3 - sqrt(72))\/(-3*1*sqrt(4)))\/((sqrt(2268)*1 + sqrt(2268) + sqrt(63))\/(sqrt(42)\/(sqrt(6) - 1*sqrt(6) - sqrt(6)) - sqrt(7))).\nAnswer: -14*sqrt(2)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-1)\/(-33)). Put s, 2, 3 in ascending order.\nAnswer: 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s + 62. Give a(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*u + 285 = -23*u + 12*u. Let z(s) be the second derivative of 0*s**2 + u*s + 0 + 1\/6*s**4 + 0*s**3. Let f(x) = 4*x**2. Calculate z(f(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(180) - sqrt(180))\/(sqrt(1296)*2 - (sqrt(1296)*-1 + sqrt(1296))).\nAnswer: -7*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -387202061, -387202073, -387202099, -387202145, -387202217, -387202321, -387202463, -387202649?\n\"Answer: -v**3 - v**2 - 2*v - 387202057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64182\/6 + (-180)\/36.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 13*h**4 - 8*h**4 - 6*h**4)*(-1 - 1 - 1).\nAnswer: 3*h**4 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*o - 2322 = 13*o - 367*o + 14*o. Solve -3*w**4 - 19\/3*w**o + 7\/3*w**5 - 8*w + 41\/3*w**2 + 4\/3 = 0 for w.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -372 + 377. Suppose -t = -3, -n + 3*t = 10 - r. Sort -2, n, -19 in increasing order.\nAnswer: -19, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5 + 16 = 0. Suppose -y + 11 = 19. Let m be y\/(-10) + (-1212)\/(-60). Calculate the highest common divisor of s and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from kbhdb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -12 + b - 8 + 28 - b - 3*b. Calculate w(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0.5, -113, -0.291?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - 394?\nAnswer: -3b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1729 and 5719?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -22. Let w = 63 + n. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -g + 1, 5*y - 7 = g + 3*y. Round g to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + -1499 + 1507.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18494 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3782*a + 7609*a - 3639*a.\nAnswer: 188*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41.6 (b) -2\/7 (c) -1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4722 + 3372. Let w = -921 - f. What is the remainder when w is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 2*x - 1, -94*x = -o - 97*x + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbcfczafbbbzccbzb. What is prob of picking 1 a, 2 f, and 1 z?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1908010*h**5 + h**4 - h**3 - 69053683*h**2.\nAnswer: -114480600*h**2 + 24*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78770081.\nAnswer: 13, 6059237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 723, 729, 735, 741?\n\"Answer: 6*t + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 207895593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*v + 111*v - 5203. Calculate the greatest common divisor of 129 and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -35183550.\nAnswer: 70367100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from {p: 12, w: 2, i: 5}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1\/636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(sqrt(450) + (sqrt(450) - (sqrt(450) + sqrt(450) + -1 + -5))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 102. Let k = 38 - 38.5. Let l be (1\/(-3))\/(2 + -1). Which is the nearest to 20? (a) l (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.07, -9, 3\/26, 8\/201?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 14, 0.1, -3, -3.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 5*v - 30 = d, v = 2*d - 8. Suppose -6 = -d*k + 20. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 - -113. Round b to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -10322120?\nAnswer: 10322121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**2 + 13068*q + 52208 = 0.\nAnswer: -3263, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4511 - 31628\/7. Let h = -241\/35 - o. Which is the closest to -1\/4? (a) h (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 2:52 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 4}. What is prob of sequence ld?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 624010588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18 - -19)*-7 - (-46)\/8)*4. Let t(w) = -8*w**2 + 5*w + 5. Let l(y) be the first derivative of 7*y**3\/3 - 2*y**2 - 4*y - 1. Give m*l(p) - 4*t(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + 1. Let w be y(1). Let -36*z - 4 + 25*z**w - 44*z**2 + 4 + 80*z**4 - z**3 + 48*z = 0. What is z?\nAnswer: -3, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5428767862?\nAnswer: 2, 7, 17, 67, 340447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/68148 and 67\/333168.\nAnswer: 2998512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 14*y**2 - 16*y + 29. Let h be s(15). What is the third derivative of 17*x**2 + 3*x**3 - 18*x**2 - 28*x**5 + h*x**2 + 1 wrt x?\nAnswer: -1680*x**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o - 15 = 0, 3*h - 1014 = -3*o. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*x = -29, -3*d + 9*x - 14*x = -7*d + 99 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -85 - 3*h + 43 + 51. Let r be y(4). Let d(c) = 6*c**2 - 3*c + 1. Is 3 a factor of d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34547853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3860410 and -7\/6.\nAnswer: 11581230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -5455, 15 in descending order.\nAnswer: 15, 4, 0, -5455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-16) - 1725\/(-40). Solve 0 = -4*j - 4, 5*v - 14 = -4*j - f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h - h)*(1 - 2 + 2) - 1 + h + 1 + (6*h - 4*h + h)*(1 + 2 - 1) - h + h - 2*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**4 - k**3 - 9*k**2 + k. Let m(o) = -o**4 + o**3 - o**2 - o. Let s(g) = 2*m(g) + 2*u(g). Find the third derivative of s(z) wrt z.\nAnswer: -384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgwv when four letters picked without replacement from vwwwkwgwgwqvgkvwv?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 126643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -7*c**3 - 87709*c**2\/7 + 1790*c\/7 = 0.\nAnswer: -1790, 0, 1\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 6:55 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 29c?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**2 - 8*n**2 + 5*n**2 to the form o*n + h + b*n**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2502 - 2494. Let o = -72 - -140. Suppose -i = g + 3*i - o, -4*i + 260 = 5*g. Calculate the highest common divisor of g and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/((-15)\/60 + 14\/40). Let v be 5\/t*-11 + (-4)\/(-12). Which is the second smallest value? (a) -0.4 (b) v (c) -6 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 9*r**5 + 3091*r**4\/7 + 3*r**3 - 8447*r**2\/7 + 6252*r\/7 - 140 = 0.\nAnswer: -49, -2, 2\/9, 5\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -32, -56, -98, -164, -260, -392?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -16*y**2 - y. Let d be (-12)\/(-9)*39\/13. Let s = -5 + d. Calculate h(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25319.8 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16456 or 16109?\nAnswer: 16456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 8*l - 6. Suppose 3*v - 21 - 6 = 0. Let o be t(v). What is the second derivative of -q + o*q - 3*q - 9*q**3 + 8*q wrt q?\nAnswer: -54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/87*(-18)\/(-8). Let r = -7\/29 + x. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36138 = 3*a - 3*d, 3*a - 3*d + 5*d - 36158 = 0. What is a rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75730 + -75769.013. Let r = o - -39. Round r to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 27 = 5*j, -2 = j + 2*t - 11. Suppose 2*p - 22 = -4*o, o + j = 5*p - 6. Sort 5, o, -1.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 2:58 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5715 and 29\/23985.\nAnswer: 3046095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 536\/2827 - 2\/257. Let k = 27 + -27.2. What is the nearest to 2\/5 in k, 5\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:57 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*d - 514*d - 3617 = -21771 - 23702 for d.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/71, -26\/5, -349, -8?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c*c*c**36)\/c*c*c*c**(-22)*c*c*(c*(c**(-2\/29)\/c)\/c*c)**(4\/23) assuming c is positive.\nAnswer: c**(13332\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 38*w**2 + 44*w - 199. Let x be m(39). Which is the closest to 3\/2? (a) 2 (b) 1\/6 (c) -2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738237320*o + 369118592*o + 6*o**2 + 369118728*o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - 1. Let y(k) = k**3 + 8*k**2 - 5*k + 1. Calculate the remainder when y(r) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozkozzkozkkz. What is prob of sequence oo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161\/15 + 57\/5. Sort -4, -0.4, b.\nAnswer: -4, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*14.62\nAnswer: -4.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186 + 191. Suppose -h*x + l + 9 = 0, -l - 2*l = 3*x - 9. Calculate the least common multiple of 3 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -579405 divided by -285\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*n - 8 - 6 = 0, -3*n = j + 9. Let o be 3 - (j + 6\/9). Let r = -0.3 - -0.2. What is the closest to r in o, 4\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 8 - -12 - (10 - -2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i + 24. Let t be 2\/((-3)\/(27\/i)). Let u(h) = -t*h + 4 - 12*h + h**3 - 3*h**2 + 13*h. Give u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 21*p - 190. Let l be b(27). Calculate the greatest common divisor of l and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(3\/4))*m)**(-2\/7)\/(m\/(m\/m**19)*m*m\/(m\/m**(1\/6))) assuming m is positive.\nAnswer: m**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*q**5\/3 + 5590*q**4\/3 - 23657*q**3\/3 - 289000*q**2\/3 - 209408*q - 122880 = 0.\nAnswer: -32\/13, -1, 15, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29779 is divided by 90.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -3*p, -n = -3*p - 351. Find the third derivative of -180 - a**2 - 183 + n - 27*a**6 wrt a.\nAnswer: -3240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/10 and ((-91)\/(-208))\/(6\/(-56)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 172145 - 3?\nAnswer: 172142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 1. Let c(t) = -28*t - 35. Let b(m) = -c(m) - 35*u(m). Let l(g) = 318*g**2 - 152*g**2 - 162*g**2. Determine b(l(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/530 and -27\/34.\nAnswer: 9010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 863 + -863. Which is the nearest to -0.05? (a) r (b) 2\/9 (c) -0.5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*f - 6. Let b(u) = -19*u**2 - 2677*u + 277. Let c be b(-141). Sort f, c, 6.\nAnswer: c, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 43. Let a = d + -9. Solve k - 8 = -3*y, -a*y - 4*k + 15 = -10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.85 - 8. Let n = d - -0.14936. Round n to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(539) + -1*sqrt(539) + 1 + -4 + 4)*2)**2 + -1.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3886\/145 - 28)\/(1854\/4320 - (-1)\/(-6))?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 1. Let k(q) = -3*q - 6. Let i be (-6)\/8 + 30\/(-24). Let z(l) = i*v(l) + k(l). Find the first derivative of z(n) wrt n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 + 123 = 3*k + 372 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/15*3 + 862\/(-20) and -55\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5603 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let g(y) be the second derivative of 31\/12*y**4 + 0*y**3 - 72*y + 0 + 0*y**2. Calculate m(g(c)).\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5106978519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(21)\/sqrt(3)))\/sqrt(11).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11013114 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00309397334 rounded to 6 decimal places?\nAnswer: -0.003094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 11) to base 13\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/6 and -31\/6226568.\nAnswer: 18679704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -705.176 - -715. Let n = m + 3.046. Round n to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d - 10 = -44*d. Suppose -d*l + 229 = -71. Calculate the remainder when l is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-320)\/12800)\/(1*(-1)\/2)*-2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**2\/5 + 36*h + 174\/5.\nAnswer: 6*(h + 1)*(h + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -421.74 * -6.\nAnswer: 2530.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(79 - -3*(-2)\/4). Let c = -772\/5 - v. Factor 3\/5*t**2 - 6\/5*t**3 + c*t + 0.\nAnswer: -3*t*(t - 1)*(2*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (828\/(-690))\/((-28)\/10). Which is the closest to -20? (a) 5\/8 (b) -1\/9 (c) -4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((-37)\/((-9324)\/42))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-25 + (5 - -7) - -8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoooooooooxuuooooxoo. What is prob of sequence uxxx?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 5\/3 (c) 67\/19 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -866.7 + 867. Put -520, 0.05, j, -0.4 in descending order.\nAnswer: j, 0.05, -0.4, -520","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - 114. Let l(b) = -167*b**2 + 80*b**t + 103*b**2. Let q(h) = h + 1. Let i(a) = 2*a**2 - 4*a - 4. Let k(x) = i(x) + 4*q(x). Determine l(k(o)).\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24688 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -595*k + 68894. Give z(116).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/(((((o**(-20)\/o)\/o)\/o)\/o)\/o*o*o))\/((o*o\/o**41)\/o**(-6\/19)))**6 assuming o is positive.\nAnswer: o**(6918\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d + 13. Let r be q(6). Let g = 87\/2 - r. What is the closest to 3\/2 in g, 0, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 10. Let r = -2.2 - s. Let j = r - 4. Which is the third biggest value? (a) j (b) 4\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-15))\/(-48 - (-4074)\/84)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11320?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126516618 to the power of 1\/2, to the nearest integer?\nAnswer: 11248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -1, 24\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = -3*c + 21*a - 13, 4*c + 22 = -2*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-20 - 3) + 8 + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4362305100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**5\/20 + 3*j**2\/2 - 3*j - 2. Let x(c) be the first derivative of v(c). Differentiate x(l) wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -4*g. Suppose -3*z = -h - 80 - 105, 4*z = -g*h - 503. Let p = 871\/5 + h. Which is the nearest to 1\/3? (a) -4 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**2*w**3 + 177560*t**2 - 89*t*w**3 - 4*t + 99*w**2 wrt t.\nAnswer: 8*w**3 + 355120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 + 92.9. Let j = -24.71 + 29.71. Which is the closest to g? (a) 1 (b) j (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 4. Let k(h) = -h + 3. Let r be k(-4). Let n be q(r). Suppose -4*w - 4 = -4*g - 16, -g + 4*w = n. Is g <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12))\/((-250)\/7000).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 15, -91, 122, -4, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00494419462 to 7 dps.\nAnswer: -0.0049442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/128)\/(-6*(-20)\/(-60))?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4696 by 6351.\nAnswer: -4696\/6351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 3\/(-5) + 581\/35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 64 + 66 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*r**4 - 664?\nAnswer: -152*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 58?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in minutes?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = -v. Let t = v - -4. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2975 and 3179?\nAnswer: 556325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*i - 11*i + 22*i**2 - 4*i**2 + 4*i**2 + i**2 + (0 + 2*i + 0)*(i + 0*i + i) - 2*i**2 - 2*i**2 + 2*i**2 - i**2 + 6*i**2 - 3*i**2.\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22787507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 23. Let m be u(4). Let y = m - -35. Suppose 3*h = 6*h - 171. What is the remainder when h is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 - 7.59.\nAnswer: -27.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -29.00108. Round u to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 66174*m + 66174*m - 1 + 12*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1686, 1427, 982, 339, -514, -1589, -2898, -4453?\nAnswer: -6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h + 30795185 - 30795185.\nAnswer: -55*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 103248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -211221200212 (base 3) to base 7\nAnswer: -3561041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309*0.578.\nAnswer: -178.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 57621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 2*f - 1. Let b(v) = v**3 + 2*v**2 + 3*v + 1. Suppose 25*u - 179 + 129 = 0. Calculate u*b(t) + 3*o(t).\nAnswer: 2*t**3 - 5*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*n - 2 + 12*n - 14*n)*(-2 + 6 - 3)*(-5 + 15 + 9) to the form y*n + g and give y.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiipiiikipiiii. What is prob of sequence piii?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 1. Let s be ((-234)\/(-27) + -8)\/((-4)\/24). Give j(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -2, 2, 5 in increasing order.\nAnswer: -52, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 1489864?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -32*v**2 + 66*v**2 - 32*v**2. Let f(x) = 12*x. Determine f(h(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 1018104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 11 + 27 = 0. Calculate the least common multiple of (2013\/366)\/(2\/4) and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*(-1 + sqrt(1872) + -1 + 3))**2*4.\nAnswer: 9600*sqrt(13) + 749200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, q: 5, k: 1, n: 4, b: 6}. Give prob of sequence wqww.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-294))\/(6\/(-18)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 29503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21486 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 8*i + 14. Determine n(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-135)*-5)\/((-749)\/(-963)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 16*q + i = 17, -q - 450*i = -455*i + 57 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 17 - 2 - (0 - -1 - -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -40*u. What is the tens digit of g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20592*l + 20589*l = -8*p + 7, -l = -2*p + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -38. Let a be (v - (-9)\/2)*(17 - 3). Calculate the greatest common divisor of a and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-161)\/460*15\/(-231)*-3*(-64)\/12?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2726208*n + 2726209*n + m = 9, 2*n - m = 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1366899 times 14\nAnswer: -1.9136586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24277637?\nAnswer: 24277637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 22*d + 28. What is x(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 965 by 2.\nAnswer: 965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18 + 70\/72.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 14, 60, 0.4, -4, 0.09 in increasing order.\nAnswer: -4, 0.09, 0.4, 5\/3, 14, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244808172?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2243?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**29*w)\/w)\/((w\/w**(-2\/19))\/w)*w*w*w\/(w\/(w**(-11)*w)*w)*w*w*w*w*w*w**23)**(4\/35) assuming w is positive.\nAnswer: w**(3792\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37.8, 2819, -3.34 in increasing order.\nAnswer: -3.34, 37.8, 2819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -51. Let o(c) = -c**2 - 53*c + 81. Let m be o(-54). Suppose -3*n + 4*k + m = 157, k = 4. Which is greater: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -f - 83, 3*w - 4*f - 61 = 11. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35\/744 + -1289\/465. What is the common denominator of -68\/65 and x?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1552408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 14. Suppose -3 = 4*y - 3*w - 1, 9 = 5*y + 2*w. Sort s, -2, y in decreasing order.\nAnswer: y, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j**0\/j)\/j*j*j)\/j*j)**40)**(7\/8)*(((j\/j**(1\/11))\/j)\/((j\/((j\/((j*j\/j**(1\/3)*j)\/j))\/j)*j)\/j*j))**(-19) assuming j is positive.\nAnswer: j**(3511\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4*y**3 + 238778*k**4 - 225*k**2*y**3 + 9*k**2*y**2 + 11 wrt k?\nAnswer: -48*k*y**3 + 5730672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (12 + -10 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 29397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*p**2 - 77*p - 31 + 14*p + 31 wrt p.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -403 at most as big as -516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 32616 and 32617 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(2\/(-116))*2. Let d be (-6)\/(-15) - b\/(-10). Find the second derivative of -3*t + 12 - 3*t**5 - d wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -5*t**2 - t - 6. Let c be (0 - 3)*2\/3. Let u be b(c). Solve 3*q = u - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703148.4 decades in years?\nAnswer: 7031484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 + 100*l**4 + 640*l**3 + 1520*l**2 + 1200*l = 0.\nAnswer: -10, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**5\/12 + 2*y**3\/3 - 2*y**2 + 5. Let m(x) be the second derivative of f(x). What is the first derivative of m(o) wrt o?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2093580 divided by 30\nAnswer: -69786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*k - k = 8, 2*k = 4. Let i(y) = -y**3 - 4*y**2 + 7*y + 8. Let n be i(-5). Sort n, t, -4 in decreasing order.\nAnswer: t, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*t**3 + 107*t**3 - 30*t**3 - 35*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-330)\/(-9) + (2 - 48\/18). Is u less than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300555 + 0?\nAnswer: 300555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 3:29 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -409 (base 11) to base 6.\nAnswer: -2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:27 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97.8 - -89.8. Put 0.3, m, -1 in descending order.\nAnswer: 0.3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 q, and 1 z when three letters picked without replacement from {w: 2, z: 3, s: 7, h: 1, v: 1, q: 3}.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/(25\/(-10))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -259*y**5\/5 - y**4 + y**3 + 733*y + 716. Find the third derivative of f(h) wrt h.\nAnswer: -6216*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -45555, -0.5, -5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*-14*(-37)\/37037?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 407.025 and -1991.\nAnswer: -1583.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 308202289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, u: 2, l: 2, v: 3, g: 6}. What is prob of picking 1 a and 2 g?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:30 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r + 3. Let d be n(3). Let m be 2*(0 + 1) - d\/(-15). Solve -3\/2*c**4 + m*c**2 - 9\/2*c**3 + 0*c + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144293814 to the power of 1\/3, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**6\/20 + x**5\/3 + 3*x**4\/4 + 2*x**3\/3 - 12*x**2. Factor o(s).\nAnswer: 2*(s + 1)*(s + 2)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -2571*w**5\/5 - 4*w**3\/3 + 157*w**2\/2 - 2689. What is the third derivative of m(y) wrt y?\nAnswer: -61704*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 6*f**2 - f - 1. Let c be a(-6). Let y = -1 + c. Find the second derivative of -4*q**4 - 3*q**y + q + 5*q**4 wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = -4*u - s, 4*s - 6 = -2*u. Suppose 2*l = -5*q + 340, 641 = u*l - 5*q + 106. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8159437?\nAnswer: 11, 13, 57059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17660*z = 17674*z - 168. Let u be (2\/(-3))\/((-2)\/129). Suppose 1 = 3*f + 4*r + 3, -5*r - u = -3*f. What is the least common multiple of z and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 6*b - 80. Calculate z(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -1\/5*l**5 - 2*l**3 + 4 - l**4 - l - 2*l**2. Factor j(o).\nAnswer: -(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*l - 990 = 190*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -5\/36*b**4 + 0 + 1\/15*b**5 - 1\/90*b**6 + 1\/9*b**3 + 0*b**2 - 14*b. Let n(l) = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386581 is divided by 83?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 1:27 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9751 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3823, 3824, 3825, 3826?\n\"Answer: n + 3822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(44)\/(sqrt(196)*3))**2.\nAnswer: -871\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0, -4\/259, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 8*v**2 - 22*v + 13. List the prime factors of y(-7).\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/((-34)\/85))\/((-4)\/(-8)). Let z(q) = -20*q - 109. Calculate z(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((((s*s**(3\/2))\/s)\/s)\/s*s))\/s**(-2\/15)*(s**(2\/7)\/s)**(-27))**(-1\/34) assuming s is positive.\nAnswer: s**(-4183\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + 8*f - 12*f - 3 + 7*f in the form h*f**3 + g*f**2 + y*f + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c**3 + 51*c + 5*c**2 - 86*c - 35*c**3 + 50*c - 2*c**3 in the form b*c**3 + o + f*c + v*c**2 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 7, e: 1, u: 3}. What is prob of sequence uje?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21454534 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9388*f + 844957. Determine p(-90).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.8 + -4. Suppose 2*d = -7 + 3. Put 0.5, x, d in ascending order.\nAnswer: d, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5180 - 5768 = 28*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 2*y - 6. Let j be (111\/148)\/(9\/4 - 2). Calculate w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 5. Calculate the remainder when 28 is divided by t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*l = 200*l - 19826. Let a = 5849 + l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628798, -1257593, -1886388, -2515183, -3143978?\nAnswer: -3772773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**5 - 340914*c**4 - 681843*c**3 + 340914*c**2 + 681840*c = 0.\nAnswer: -2, -1, 0, 1, 113640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4 + 110626*h**3 - 17849830*h**2 + 709969374*h + 727929828 = 0.\nAnswer: -55474, -1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39745.8 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + ((-446)\/120 - 3\/15). Let v(r) be the second derivative of 0 - x*r**4 + r**2 + r**3 + r. Calculate v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 7*z + 6*z)*(1 + 1 - 1) + (-4*z + 0*z + 2*z)*(-3 + 5 - 4) - 3 + z + 3 + 0*z - 1 + 3*z - 6*z.\nAnswer: 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2867 and 3.\nAnswer: -8601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -5, 2\/15, 1\/2, 0.06?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b - 20 = 0. Is 3 a factor of b + (0 - 1)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 4*s**2 + 4*s**2)*(6*s**3 + 3*s**3 - 2*s**3) + 2*s**5 - 4*s**5 + s**5.\nAnswer: -15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1773*w**2. Let r(d) = 21*d**2 + d. Determine r(a(c)).\nAnswer: 66014109*c**4 + 1773*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= 728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -312476646*i + 966284837 wrt i?\nAnswer: -312476646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(51)\/sqrt(3) + 2 + sqrt(102)\/sqrt(6))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-5.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 387109.7 nanometers?\nAnswer: 0.0003871097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-24)*(-8)\/54*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s = 61*s - 188617. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 + -193. Let i be (1 - -2)*-4*p\/(-36). Let l(y) = -10*y. What is l(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72119\/37926 - 13\/774. Which is greater: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 67*q - 2 - 63*q - 4. Give c(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -380199 at most 0.1727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47798 + -22957. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-28))**(-47))**(-1\/8) assuming k is positive.\nAnswer: k**(-329\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1345 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. What is u(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:21 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114486.\nAnswer: 2, 17, 32779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 9:25 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 259059221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2983 and 44598833?\nAnswer: 2983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 11*g**4\/12 + g**3\/6 + 7*g**2 + 38*g - 45. Let x(c) be the first derivative of d(c). What is the derivative of x(h) wrt h?\nAnswer: 22*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 48318132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(70))\/sqrt(7))\/(((sqrt(5) - sqrt(5)*-1) + sqrt(5))*-4)*-6.\nAnswer: -2 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/199 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 610342, 1220943, 1831540, 2442133?\n\"Answer: -2*x**2 + 610607*x - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u**2 - 3*u - 3. Let t be q(-2). Solve 4*x - h = h + 4, 3*x - 4*h = -t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 2:17 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004 + 5028 = 781*s - 17844 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - g = -2, -d - 57*g = -61*g + 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 67. Let v = -11 - -11. Let d be 2*(-1 + 12\/11). Which is the closest to d? (a) v (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/7 - (33\/(-21) - -2). What is the biggest value in f, 2\/5, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 223 and 9.\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 26244*v + 8*v**2 + 11 - 2 + 26251*v. Give o(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 0, 5\/2, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434712*w - 435276*w - 1 + 1.\nAnswer: -564*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -52*r**2 + 164*r - 24 = 0.\nAnswer: 2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*(-8)\/(-6). Suppose 32 = 3*p - 5*r, 5 = -y*p - 5*r - 7. Suppose 8 + 12 = p*z. Solve -5*u - 4 = 4*t, -z = -u + 4*t + t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -18. Suppose -910 - 53 = -f*z. List the prime factors of z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 2. Let y be s(0). Suppose -31 = -2*k - q, -4*k + 4*q = 9*q - 53. Suppose 0 = -5*j + k - y. Solve -2*t - j = -11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m + 10. Determine s(-31).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6845951?\nAnswer: 7, 17, 57529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1. Let d(u) = -3*u - 18. Let b be -5 - -2 - 1\/(2\/(-270)). Let s be b\/16 + -3 + (-2)\/8. Let h be s\/((-5)\/(-2)) - 3. Determine h*d(m) + 18*y(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -7 - ((-5 - (-10 - 1)) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g**2 - 2*g + 1. Determine h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 27, -0.033, -74, 0, -3\/5?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -101000?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 836, 796, 756, 716, 676?\n\"Answer: -40*y + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, -1195, -476.\nAnswer: -1195, -476, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -u - 0*u + 11, 5 = -5*u + 5*x. Let w(s) = -2*s - 6. Let y be w(u). Let n be 1\/(y - 1)*4. Solve q = j + 1, -5*q + j + 9 = -n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -151, -43991 in descending order.\nAnswer: -17, -151, -43991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -28. Let q = 1.35417 - -11.64541. Let p = n - q. Round p to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**2*q))\/(q*(q**(-1\/3)*q)\/q))\/((q*q**(-2\/11))\/(q**8*q)) assuming q is positive.\nAnswer: q**(281\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q + 13. List the prime factors of j(4).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*k + 170*k - 3181 + 198 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*b**2 - 14\/3*b + 8 = 0. Calculate b.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158226485?\nAnswer: 5, 3581, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -71 + -10232 + 10297?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 1. Let b be -1*(3 - -6)\/(-3). Let a(o) = b*o + 2*o - 1 - 4*o + o**2. Let n be a(0). Let h(x) = 8*x + 6. Determine n*h(q) + 6*f(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1318, -1425, -1532?\n\"Answer: -107*g - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17554 is divided by 1755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:03 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 3302484?\nAnswer: -3302480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*i**3 - 3*i**2 + i**2 - 151*i**3)*(25*i + 18*i + 90*i).\nAnswer: -2527*i**4 - 266*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 3*z)*(6*z**4 - 2*z**4 - 3*z**4) - z**4 + z**4 + z**5 + (-31*z**3 + 387*z**2 - 387*z**2)*(5*z**2 + 64*z - 64*z).\nAnswer: -152*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26202*l**3 - 26181*l**3 + 52412*l**3.\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140*q - 3*q**2 - 184 + 0*q**4 + 84 - q**4 - 66*q**2 - 14*q**3.\nAnswer: -(q + 2)**2*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.6, 32, -1\/7, 40.53 in descending order.\nAnswer: 40.53, 32, 1\/4, -1\/7, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a - 5. Let v(z) = 9*z + 6. Let f(c) = -6*s(c) - 5*v(c). Let h(x) = -13*x + 7. Let t(d) = 4*d - 2. Let u(y) = -2*h(y) - 7*t(y). Give f(u(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/4484 and -141\/280.\nAnswer: 313880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1.15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -69. Let y be (-2 - 10\/(-6))\/(o\/(-4)). Let b = -6 - -10. What is the nearest to 0 in -5, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-435)\/174 + (-30)\/(-4). Let x be 2\/w*(21 - -4). Solve -11*q - x = -6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*r - 4*p, 5*p - 22 = -83*r + 82*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018288689736 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2. Let a(k) = 144*k - 1. Calculate m(a(g)).\nAnswer: 41472*g**2 - 576*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c = -3*k, -3*k - 5*c = -6. Let f(x) = -x**3 - 5*x - 4*x**2 + x + 2 - 1. Calculate f(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3074 divided by 4371?\nAnswer: -3074\/4371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 158708651 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -1586, 1917 in decreasing order.\nAnswer: 1917, 4, -1, -1586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 76696379 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.642643499 less than 30312?\nAnswer: 30311.357356501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -2 (b) 18.5 (c) 7\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 1209182?\nAnswer: 7255092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*2*-3)\/((-1*sqrt(35))\/sqrt(7) + sqrt(5) + sqrt(495)\/sqrt(11)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*b + 108430 + 10910 = -1655*b - 609*b for b.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:32 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q**3 + 29*q**2 + 2*q - 3399. Let k(l) = -19*l**3 + 54*l**2 + 5*l - 6802. Let m(s) = 5*f(s) - 2*k(s). Differentiate m(o) with respect to o.\nAnswer: -36*o**2 + 74*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:28 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/2 - 3003475*z**2\/2 - 2255223027575*z\/2 - 11276040051125\/2 = 0. Calculate z.\nAnswer: -1501735, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Let w(p) = -3*p**3 - 3*p**2 - 1 + 4*p**z + 5*p + 10*p**2. Let n be w(-6). Sort 3, -3, n.\nAnswer: -3, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14166?\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2) - 5012\/(-56). Let q = w + -86. Solve -9 - 1 = -q*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.499906 years to centuries.\nAnswer: 0.09499906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = 2*d. Let x(p) = 2*p**3 + 4. Let w be x(d). Solve w*m + 14 + 2 = -2*h, 4 = -m - h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooodooooo. What is prob of sequence oo?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935 divided by 39687?\nAnswer: 645\/13229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 0, -3, -15013.\nAnswer: -15013, -8, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -276*i + 6470. What is the smallest common multiple of n(23) and 2196?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11589*t**3 + 11546*t**3 - 34*t + 34*t.\nAnswer: -43*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*s - s. Suppose -s*i + p = -4*p - 7, 0 = 4*i + 4*p - 52. Let o be -1 + 65\/(2 + -1). Calculate the highest common divisor of o and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 12*v - 65 + 46)*(0*v - 4*v + 3*v).\nAnswer: 8*v**2 + 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 117*2 + (2 - -1). Round o to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 339*m**6 + 4*m**2 wrt m.\nAnswer: 40680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/6))\/((x*(x**(-1\/4)*x)\/x)\/x)*x**(3\/2)*x**(-4\/5) assuming x is positive.\nAnswer: x**(127\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -560029.48688028 + -13.\nAnswer: -560042.48688028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 2*s**2 + 3*s + 1. Let u be x(-2). Let z = 15 - u. Suppose -z = -4*p + 60. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f + 8 = 48*f - y, 4 = 2*y. Solve 32 = f*j - 13*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wccww. What is prob of picking 1 c and 2 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 27880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d**2 - 20*d - 20. Let r(o) = o + 1. Let q = 1838 + -1836. Calculate q*s(v) + 40*r(v).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 8, -1, 1, 4.\nAnswer: -22, -1, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 11. Suppose 35 = 3*z - 4*q, z + i = 2*z - 5*q. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 1 + 1)*(-4 - 9*o + 6 + 0).\nAnswer: -18*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**5\/60 + v**4\/6 - v**3\/2 - 11*v**2. Let x be h(-7). What is the hundreds digit of ((-81)\/x)\/((-3)\/100)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - l + 498 = 0, -3*g - 1183*l + 384 = -1184*l. Calculate the remainder when g is divided by 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 3*x**2 - 3*x**2 + 3*x**2 + 2*x**3 - 11 as u + m*x**3 + t*x**2 + s*x and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 237 - 30055?\nAnswer: -27616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74)\/19 + ((-476)\/(-323))\/(-14). Which is smaller: -146\/33 or a?\nAnswer: -146\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/5 less than or equal to 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 + 4*q. What is the tens digit of d(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105505, -422004, -949501, -1687996, -2637489, -3797980?\nAnswer: -5169469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1210 and -3.\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((1 + 7\/(-8))*-123)\/12 and (-164)\/480*3*-2.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/165*-6*(0 - 1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 3842289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -207\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 3. Let m = -139 + 157. Let x(i) = i - 1. Let k(q) = m*x(q) + 4*p(q). Let l(s) = -s. What is k(l(h))?\nAnswer: -6*h - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2057) + (sqrt(17) + sqrt(17) + sqrt(17) + sqrt(68)\/sqrt(4))*5 + ((sqrt(136) + -3*sqrt(136)*-1)\/sqrt(8))**2 + 5.\nAnswer: 9*sqrt(17) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 176*k**2 - 11*k - 52. Let m(b) = -121*b**2 + 8*b + 35. Calculate 5*a(r) + 7*m(r).\nAnswer: 33*r**2 + r - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/3571, -390\/17 in increasing order.\nAnswer: -390\/17, -0.4, -2\/3571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393431259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/126150 and 137\/4768470?\nAnswer: 23842350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**6\/15 - 4*v**5\/25 + 4*v**3\/15 - v**2\/5 - 125. Let g(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -18, -14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -14*l**3 + 9*l**2 + 3*l. What is p(-2)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*y + 282, -2*x = -2*y - 112 - 76. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + ((sqrt(20) - (-1*sqrt(2420) + sqrt(20))) + 5*(sqrt(20) + 4) + -5)**2 + 4.\nAnswer: 960*sqrt(5) + 5342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 6, 1\/13, 10, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01319 + 2.01319. Which is the second biggest value? (a) 31\/4 (b) -1\/5 (c) r (d) 0 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42610555 (base 7) to base 16\nAnswer: -376f66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 8*l - 109. Let m be w(7). Which is the smallest value? (a) -5 (b) m (c) -1.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -3. Suppose a*j = -0*j + 46. Solve -s + 2*u - 6 = -3*s, -3*s + 5*u = j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -162715 and -162713 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + l**2 - 1)*(78 - l - 78 - 8*l**3).\nAnswer: -8*l**5 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12*r + 11*r + 13 = 0, 0 = 5*i + r - 15. Put 14, i, 5 in increasing order.\nAnswer: i, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212) + (sqrt(4212) - (sqrt(4212) + 1)*-2) + (sqrt(4212) + -2*(sqrt(4212) + -1) + sqrt(4212) - sqrt(4212)))**2*-6.\nAnswer: -227544 - 2592*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 34*y - 38. Let l be r(-31). Let p = l - -644. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 2*p - 519*p**2 - 582*p**2 + 900*p**2 + 2 to a*p**2 + c*p + k + t*p**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43536 divided by -10?\nAnswer: 21768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) -86 (c) 5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 14*y + 36. Let f = 307 - 315. What is the remainder when 207 is divided by s(f)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/45 (b) 1\/6 (c) -2\/13 (d) -28 (e) -0.5 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 1377 - 84. Let q = 491 + k. Solve -3*p + 4*p = 0, 5*p = q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 4:51 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 15 - (2 - (-3 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*i - 81 + 277, i = -4*b + 155. Let o = b - 191\/5. Let f be 2\/3 + 2\/24. What is the nearest to -1 in o, 0.1, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(10*u + 19*u**4 - 7*u + u**2 - 64*u - 126*u).\nAnswer: -38*u**4 - 2*u**2 + 374*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckilmql. What is prob of picking 2 l, 1 m, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1*2436\/145*(-200)\/360?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174 - 333 + 159 + 321*t + (-2 - 2 + 3)*(-2*t - t + t).\nAnswer: 323*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1553*l = -1557*l + 210544. List the prime factors of l.\nAnswer: 2, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*p + 128 - 273 + 146.\nAnswer: 133*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3644*n**2 - 1596*n + 1595. Calculate q(1).\nAnswer: 3643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 1 (c) -30.08 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 + 645 - 646 + 7*w**2 - w**2 + 2*w**2. Let a(f) = f. Give a(r(z)).\nAnswer: 4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 64 = r. Let v be (0 - 2) + (r - 4). Let w be 1\/(-1 + 0)*0. Solve v = -2*k - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.62615872 - 0.14098448. Let x = -40.2328658 + p. Let t = -49 - x. What is t rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4235 - 21?\nAnswer: -4256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74, -33, 36, 133, 258, 411, 592?\n\"Answer: 14*b**2 - b - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 - 3*d - 3. Let s(q) = 44*q**2 - 5 - 115*q**2 + 64*q**2 - 5*q. Let p be (0 - 1)\/((-3)\/9). Give p*s(n) - 5*y(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-12)\/(o*o**(-3\/2)*o\/(o*o**(-3)))*(o**3\/o*o**(-5)*o)\/(o**0\/o)**(4\/15) assuming o is positive.\nAnswer: o**(233\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 3 = 0. Let q be 2 + -2 - (-3)\/y. Solve -7*x - 8 = -q*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*p + 2371 = -8280 + 2436 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*a + 1426*a = 729*a + 2560 + 794 for a.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 11.03. Let n = i + 10.7. Let a = -58 - -57.9. Put n, a, 0.4 in decreasing order.\nAnswer: 0.4, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.04 + -6.4. What is z rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, v: 2}. Give prob of picking 1 v and 1 y.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1862)*-1)\/(-1*sqrt(18)))**2.\nAnswer: 931\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1386 divided by 2?\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065333588 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1481*a**3*k**3 + 4*a**3 - 138*a**2*k**4 + 14*a**2*k**2 - 6*a*k - 2*k**3 + 509*k wrt k.\nAnswer: 8886*a**3 - 3312*a**2*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1b523c (base 13) to base 10\nAnswer: 696838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.42 - -0.22. Let q = m - -1.2. Let s = -1.1 - -1.4. Which is the fourth biggest value? (a) -3 (b) q (c) s (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 38. Solve -o + 0 + 3 = k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*h**2 + 21865 - 21865 + 34*h**2 - 414*h**2 + 130*h**2.\nAnswer: -613*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138 + 154. Calculate the greatest common divisor of z and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -38798?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 + (-90)\/25. Let u(q) = -q. Let t(w) = w**3 + 4*w**2 + 9*w - 4. Let j(x) = -t(x) - 5*u(x). Is j(y) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14)*(-238)\/(-1530) + 10948\/13455\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 2)\/(5\/(-8)*(12 - 16)). Solve -4*g - 49 = 5*z - 59, f*z - 2*g + 14 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:55 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2887530 is divided by 3483.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*f + 46. Let w be (-50)\/(-144) + 0 + f\/(-45). Put -2\/3, -4, -2, w in ascending order.\nAnswer: -4, -2, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.2 (c) -2 (d) -1\/42 (e) 1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4318*m + 4304*m - 8614*m. Let z(j) = -36*j**2 + 8. What is w(z(t))?\nAnswer: -288*t**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13984 - -25034. What are the prime factors of p?\nAnswer: 2, 3, 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110985583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 16. Suppose -5*p + b = -p. Let q = 0 + p. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154991 = 43088*c - 43065*c. What are the prime factors of c?\nAnswer: 3, 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5501917?\nAnswer: 5501913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z**2 - 2*z**3 - 9*z**2 - 3*z**2.\nAnswer: -2*z**3 - 37*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 19. What is the closest to l in -1, 0, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 326*y**2 - 915*y - 10. What is b(3)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 2. Let y be f(1). Let j(n) be the second derivative of -7\/12*n**4 + n + 0 + y*n**2 + 0*n**3. What is j(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-56) - 10\/(-35). Let z = -7 + 6.6. What is the smallest value in -0.1, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {t: 1, h: 2, d: 1, y: 7, p: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761318*s = 761231*s + 174. Let x = -61\/24 - -8\/3. Find n, given that x*n**s + 1\/4 - 3\/8*n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*g**2 + 48*g**2 - 44*g**2)*(-5*g + 5*g + 2 - 2*g**2) to the form u*g**4 + k*g**3 + y*g**2 + s*g + x and give y.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/7, 0.2, 2, 60 in descending order.\nAnswer: 60, 4, 2, 2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h - 24. Let n be a(6). Let p = n - -47. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p - 6. Let c be 11\/3 - (-4)\/p. Solve -c*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 113843300 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211201201221 (base 3) in base 13?\nAnswer: 283708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(12)\/sqrt(4) + sqrt(3) + -2)**2.\nAnswer: -32*sqrt(3) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 358031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 5*u - 22. Does 26 divide q(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -162, -163, -164, -165, -166?\n\"Answer: -i - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d + 16 = 0. Let c = d + 10. Suppose 2*n - 4 = v + 6, 3*v - c*n = -10. Solve -2*p - 2*k + 2 = v, p + 4 = 5*p + 3*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*t**2 - 6*t**2 + 19*t**2 to r + p*t + y*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.1 - 33. Let r = 0.6 + -4.6. Let o = 1 + r. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 839956.9t?\nAnswer: 839956900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 1, 32 in ascending order.\nAnswer: -2, 1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34 - 477?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55226 and -0.4.\nAnswer: -55226.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 0 - 4 = 4*s, -36 = 5*s + 4*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 965340058 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 5*z. Let p be r(6). Factor -54*b**2 + 2*b**4 - 4*b**4 + p + b**4 - 123 + 108*b + 12*b**3.\nAnswer: -(b - 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0)\/(4*(-7)\/84). Suppose 5*m - 68 = -j, -4*j = -2*m + 3*m - z. Solve 0 = m*b - 10*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1175, 1170, 1155, 1124, 1071, 990?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 190020\/7 or 27147?\nAnswer: 27147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.358861 seconds?\nAnswer: 1358861000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + q + 18199, q + 6067 = -13*a + 14*a. Let j = a - -6977. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1141 and 16897884?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*j + 3*r + 25, 0 = 2*j + r - 9. Let u = 12 - j. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -19) + -24 - (-5 - 441\/112)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 998 and 6585802?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {w: 4, s: 2, h: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 147, 487, 1023, 1755, 2683?\n\"Answer: 98*g**2 + 46*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.2 + 0.2. Suppose 5*k - 10 = 0, 4*k = -2*a + 3 + 3. Sort a, 1, u in descending order.\nAnswer: 1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f + 24. Let p be r(-7). Let z be (75\/(-10))\/p*-2. Let h(u) = -u**3 + 9*u**2 - 7*u - 8. Let t be h(8). Solve m + t = -z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 0, -188, 41\/2, 6 in descending order.\nAnswer: 41\/2, 6, 2\/25, 0, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h = 12*h + 2464. Let b = -179 + h. Is -126\/5 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7202*c**4*t - c**2 + 1211*c*t + 2*c wrt c?\nAnswer: -172848*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 500 and 70?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*l - 188*l - 182*l - 12*l**2 - 213*l + 766*l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4\/2 + 183*m**3\/2 + 129*m**2 - 9316*m + 17376 = 0.\nAnswer: -181, -12, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.902492us?\nAnswer: 2902.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86941 + -32479. What are the prime factors of t?\nAnswer: 2, 3, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*w - 30, 0 = -3*s + 4*w + 14 + 15. What are the prime factors of (-8)\/s*30\/(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from afcfifrcmffim.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/(-105) + (-6)\/21. Suppose 0 + 2 = -2*l. Let x be -6 - 202\/(-36) - 2\/(-12). Which is the biggest value? (a) v (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -14542553?\nAnswer: -14542550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 42. What is the smallest value in 2, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 7*s**4\/2 + 1174*s**3\/5 + 2040*s**2 + 10728*s\/5 - 71928\/5 = 0.\nAnswer: -1998\/35, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgll when four letters picked without replacement from {t: 1, b: 1, g: 2, n: 3, l: 8, r: 3}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(6\/7)*z**(3\/4)\/z)**(24\/7) assuming z is positive.\nAnswer: z**(270\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 8*k + 228 = 0. Let v = k - 15. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 30 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -620699*a**2 + 5*a + 30300764 with respect to a.\nAnswer: -1241398*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 1:53 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*v**3 - 64*v**3 - 20*v**2 - 2 + 0 + v**4 - 69*v**3 as x*v**3 + h + d*v + r*v**2 + a*v**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:17 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b\/(b*b*b**(-1)*b)*b))**(-13)\/(b**(1\/4)\/b*((((b\/(b**(-2\/5)*b*b)*b)\/b)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-693\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 6*c - 6*c + 58 = 0, 14*z + 3*c - c = 10*z + 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31411893*n**4 + 171353958 wrt n?\nAnswer: 125647572*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, k: 1, a: 1, q: 9}. Give prob of sequence qapk.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/15089? (a) 3 (b) -0.4 (c) 0 (d) 1\/2 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139 - -699\/5. Let w = -571 - -571. Suppose w = 82*t - 59*t + 207. Put z, t, 4 in increasing order.\nAnswer: t, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:16 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - h + 20, -2*j - 5*h - 40 = -4*j. Suppose 5*c - 135 = j. What is the third derivative of 8*f**2 - c*f**3 - 7*f**2 - 27*f**2 wrt f?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**7\/720 - s**6\/180 + s**5\/15 + 3*s**2. Let t(x) be the third derivative of n(x). What is the units digit of t(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d - 45. Determine b(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence boec when four letters picked without replacement from {z: 1, o: 1, b: 1, c: 1, t: 1, e: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let r be 4*(3\/(-2))\/w. Let y(p) = p**2 - 272*p - 4003. Let z be y(-14). Solve -z = 2*a - r*o + 5, 5*a - 4*o = -14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203857, 203880, 203917, 203968, 204033, 204112, 204205?\nAnswer: 204312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1028*r**3 + 1190*r**2 wrt r.\nAnswer: -6168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*f - 113*f + 24 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1645, -7, 3, -5 in ascending order.\nAnswer: -1645, -11, -7, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -33. Suppose -y*z + 6*z - 10 = 0. Is 6324\/8 + 5\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2, 5, -3\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107164397 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -106*4\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*(-128)\/6. Let l be (-63)\/(-4) + (-24)\/o. Suppose 2*f - 3*d + 2 - l = 0, 2*d = 2*f - 18. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/7 + 4*v**3\/7 - 2*v**2\/7 - 4*v\/7 = 0. What is v?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*j**3 + 4*j**2 + 18 wrt j.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from hhgnnznznhzzu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*q + 20, -t - 2*q + 5 = 2. Let m = 3 - -21. Suppose -4*y = 5*v - m, -4*v - 3*y + 19 = -0*y. Solve -d = 3*d + v*j + 12, -t = -3*d + j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1706 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5051129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(171))\/sqrt(9).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2623173 is divided by 82?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2034702 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32047, -128075, -288115, -512161, -800207?\nAnswer: -1152247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 4*r**2 + 6. Let k be b(-3). Let x be (49\/k)\/((-3)\/18). Suppose -x = l - 154. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 84?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -3 (c) 2 (d) -1\/6 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -182\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 69*h**3 + 2*h**2 - 1. Let u(a) = a**2 + 10*a + 1. Let g be u(-10). Let m be n(g). Let x = 7 - -3. Calculate the highest common factor of x and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31347 and 21285?\nAnswer: 1724085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 21. Which is the smallest value? (a) -4 (b) w (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 377 - 377.000000998. Round v to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 43164?\nAnswer: 302148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11261, 22290, 33319, 44348, 55377?\nAnswer: 66406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*h = 5745 - 10284 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*y - 2, 81*d - 6 = 76*d + y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -29*u**4\/24 + 34*u**3\/3 + 69*u**2\/2 + 40*u. Let p(k) be the first derivative of d(k). What is the derivative of p(c) wrt c?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7837 is divided by 411.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - g + 38, -25*g - 26 = -4*r - 4 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105081.\nAnswer: 3, 35027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 51.324.\nAnswer: 51.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18862208 by 1376.\nAnswer: 13708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 - 3*c**2 - 2*c**2. Let l(y) = -3*y**2 + 2*y**2 + 29*y - 29*y. What is l(g(x))?\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t**2 + 6*t - 4. Let i be p(2). Let r = i + -66. Calculate the remainder when 50 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-10)*(-2)\/4. Suppose 0 = -i, -2*q - 3*i - 415 + 2307 = c. Let j = -9497\/10 + q. What is the common denominator of j and -137\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(6)*2)\/sqrt(2))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 510 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -120. What are the prime factors of (-4 - -1)*8\/n - -22?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19127307 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.659462 rounded to 2 decimal places?\nAnswer: 2.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from {p: 1, y: 8, j: 4, w: 2, o: 2, u: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Suppose 3*l - 5*l = -20. Let m(c) = 25*c - 8*c - l*c. Determine m(g(t)).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085 + 0.22?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -k + 20, -4*k - 2*p + 6*p - 16 = 0. Is (-1)\/(-2)*134 - k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 2. Suppose -t = -0*p - p. Differentiate 3 - p*a - 2 - 3 with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5 - w**2 + 5*w + 5*w - 14. Let o be v(6). Suppose 5*s - 25 = -3*g, -8 = -s - o*g - 3. Solve -k + 6 = u + u, 0 = -s*u - 5*k + 25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9235 - 12021 - 10087 + 5790 - 2*u + 498.\nAnswer: -2*u - 25055","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499546 is divided by 233.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34800 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -210 - 17c?\nAnswer: -38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2856239?\nAnswer: 29, 98491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -545785\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-8 - 1)*6. Let x = s + 7. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 12) to base 13.\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/600 - 21*r**4\/40 + 62*r**3\/15 + 2*r**2 + 10*r + 4. Solve o(b) = 0 for b.\nAnswer: 2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-5 - -50) - -10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let s(u) = 7*u + 66. What is l(s(q))?\nAnswer: 49*q**2 + 924*q + 4356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0349 and 10.\nAnswer: 9.9651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/((-14)\/(840\/6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1035711248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10011001011101100 (base 2) to base 9\nAnswer: 128702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*w**2 + 169*w**2 + 5*w**3 - 11*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -4.\nAnswer: -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 690 + -689. What is the closest to 3 in -2\/5, -1, 5\/2, n?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((9 - 9) + (1 - 29)) - 68?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/6)*x*x**(-3\/7))\/(x**(3\/2))**(-2\/3) assuming x is positive.\nAnswer: x**(101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2 - -1)\/(-6 + 9). Determine i, given that -1 - d*i**2 - 3\/2*i = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1973, -3897, -5817, -7727, -9621, -11493?\n\"Answer: b**3 - 4*b**2 - 1919*b - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a - 19. Let x(s) = -2*s - 7. Give -4*i(c) + 11*x(c).\nAnswer: 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/236 and 9\/20.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 18*c - 180 = 0, -5*a - 960*c = -959*c - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x**2 + 3*x - 3. Let h be v(2). Let a be (-1)\/(h*1\/(-6)). Let u be (4 + -3)\/((-2)\/a). Solve 0*y - 12 = u*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -5, 8, 9 in descending order.\nAnswer: 9, 8, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7646437067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 250445 - 5?\nAnswer: 250440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*i - 4. Let v be ((-2)\/6)\/(4\/i). Suppose -3\/2*f**3 + v*f**2 + 3\/2*f**4 + 0 - 1\/2*f**5 + 0*f = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.6290393209 and -9.\nAnswer: -3.3709606791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -87?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:16 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:13 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + 184\/(-352). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 66, 40, -6, -78, -182, -324?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5) + 4 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2*24\/15. Suppose 2*r + 0*y + 2*y = 22, 0 = -x*y - 16. Suppose 5*j - 3*p = j - 3, -3*j + 19 = 2*p. What is the highest common divisor of j and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 1:31 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 110*m**2 + m + 2. Let f be w(0). Solve 3*a - 9 = -f*x, 0 = 5*a + 5*x - 10 - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*t - 29520 = -61*t. What is the greatest common factor of 87 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -272 + 517. Let p = -146 + f. Calculate the greatest common divisor of p and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -397, -439 in increasing order.\nAnswer: -439, -397, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 49*p - 36. Suppose 2*c = 20 - 6. Is s(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*f - 6 - 39, 4*k - f - 23 = 0. Calculate the remainder when k is divided by 8\/(-18) - 682\/(-279).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 64*r**2 - 130*r - 392. Determine w(-66).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-1)\/(-1) - -46. Let v = b + -30. Suppose -2*r - v - 27 = -3*j, -j + 22 = -5*r. What is the least common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/120 + w**5\/10 + w**4\/12 + 5*w**3\/6 + 7*w**2. Is 10 a factor of a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 1, -5 in ascending order.\nAnswer: -106, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**33\/c**34*c**(3\/10)\/(c*c**(16\/3)))**(-13) assuming c is positive.\nAnswer: c**(2743\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*j**2 + 16*j - 16*j - 3*j**3 - 18*j**3 wrt j.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34222?\nAnswer: 2, 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 2*a**2 + a**2)*(90*a**2 - 310*a**2 - 473*a**2) + (0 + 2*a**2 + 0)*(a + 0*a - 4*a)*(2*a - a - 3*a).\nAnswer: 1398*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1168 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2007\/5 or 402?\nAnswer: 402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -2. Let w = -8 + v. Suppose 2*l + 4*p = 10, -2*l + 3*l - 2*p - 25 = 0. What is the greatest common divisor of l and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 22, 2\/1128827?\nAnswer: 2\/1128827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/175*(-30)\/((-3600)\/(-84))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 11. Suppose -y = 2*b - 7*b - 2*f, -b + 4*f + 25 = 0. Let q = 10 - 94\/9. What is the biggest value in -5\/3, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggncngn. What is prob of sequence gg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5745 - 2459. Let a = -1995 + v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*u + 10, 4*o + 30 = -0*u + 2*u. Let n(y) = -y**2 - 7*y. What is the tens digit of n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 3:24 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 382807977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + 126*m**2 - 233*m - 104. Determine y(61).\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -17 + 7 + -15 + 0 + 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Suppose 0 = -4*d + 5*n - 43, n - 6 = -3. Let m be i(d). What is the tens digit of ((-8)\/m - -4)*7*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3507*t**2. Let c(h) = -2*h. Give c(p(y)).\nAnswer: -7014*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -11310000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhjjjjjpjjj. Give prob of picking 1 j and 1 h.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 441760192 to the power of 1\/2, to the nearest integer?\nAnswer: 21018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-240)*(-20)\/8\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120212 (base 4) to base 2.\nAnswer: -1011000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 5*z - 196. Let s(g) = g**3 - 4*g**2 - 2*g + 7. Let r be s(6). Let x = z - r. Solve -6 + x = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 165080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-14))\/(-2*54\/180*(-132)\/(-2079)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbw when four letters picked without replacement from oobwofbowwwbo.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25492611 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njlljjnfanfj. What is prob of picking 1 f, 2 j, and 1 n?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 3)*7\/(-2). Let h = 67\/9 + w. Sort -4, h, -1 in ascending order.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (28 + -19 - (-9 + -3))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -x + 4*h - 14, 3*h = -5*x - 197. Let w = -23 - x. What is the remainder when w is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -23*x**3\/2 - 13*x**2 + 15*x. Is r(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 2*z + 211. Is v(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, k: 8}. What is prob of sequence kskk?\nAnswer: 77\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 12\/(-1176)*-7*-4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -1 - -1*2. Let i be 4\/12*(-78)\/4*b. Suppose -v + 3*w = -1, v = -4*v - w + 53. Is v != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993100 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l + 339*l + 15337*l**3 + 6*l**2 - 15331*l**3 wrt l.\nAnswer: 36*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(2\/(3 + 1)). Let s(t) = t - 1. Let i(a) be the first derivative of -a**3\/3 + 3*a**2 - 3*a + 65. Give b*s(v) - i(v).\nAnswer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59527*l = -60970*l - 72150 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 3. Let x be 0 + w + (-12)\/(-5). What is the smallest value in 2, x, 3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0059 and -0.1.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -20, 2*a - 34 = -0*a + 5*n. Let o(d) = -d**2 - 5*d - 7. Let g(m) = -m**2 - 6*m - 8. Calculate a*o(h) - 6*g(h).\nAnswer: -h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)*p**(-4\/13)\/p*p**(-6)*p**(-6\/7)\/p assuming p is positive.\nAnswer: p**(-1107\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (7*24\/(-84))\/9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*g = -6*g + 7, 0 = c + 3*g - 13. What is the tens digit of 23954\/126 + c\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4336, 4770, 5202, 5632, 6060?\n\"Answer: -z**2 + 437*z + 3900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -496 + 531. Solve 3 - t = -8*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f. Let r(j) = 0*j**2 + 39 + 0*j**2 + 2*j**2. Is r(f) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 183, 1589404, 1 in decreasing order.\nAnswer: 1589404, 183, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (16 + -7 - (-11 - -19) - 4) + 7\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 696536*g**3 - 6*g**2 - 2*g - 3398 wrt g?\nAnswer: 4179216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -444135 (base 6) to base 15\nAnswer: -b05b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 1. Let y(b) = b**2 + 5*b + 13. Let v(h) = -5*w(h) + y(h). Is v(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 715252892464 and -4.\nAnswer: 715252892460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-26)\/(-104))\/(1\/12) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1228887 + -3007942.6228887. Let r = q - -3007949.50000015. Let i = 8 - r. Round i to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1214.8 + -999.92. Let y = -209 + d. Round y to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 885 - 869. What is the greatest common divisor of z and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2*sqrt(76)*-1 + sqrt(76) + sqrt(76) - 4*(sqrt(76) + sqrt(76)*3))\/(3*1*sqrt(100)*2).\nAnswer: -11*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 9084 = -5789 + 1723. What is the least common multiple of 40 and w?\nAnswer: 10520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -2*i - 0*i. Let a = -58 - i. Suppose 5*r - a = -0. Solve r*b = b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 + 138. Let x(g) = -111*g - 101. What is the units digit of x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -119. What is the second derivative of 41*h**2 - 85*h**i + 48*h**2 - h wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -6 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + -123. What is the least common multiple of 12 and (46 + s)*(-3)\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*(h**(1\/4)\/h)\/h)\/h)\/h)\/(h\/(h*h**5))*h\/h**9*h\/(h\/(h*h**(5\/3)\/h*h*h*h)*h))**(-10))**(-34) assuming h is positive.\nAnswer: h**(-2125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149.3 - 32.3. Let m = -116.2 + f. Which is the second biggest value? (a) -3 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.04513 and 0.4?\nAnswer: 0.418052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + j - 2*j)*(5*j - 2*j - 2*j + (-j + 0*j - 2*j)*(0 - 3 + 2)) to the form a + b*j + o*j**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**2. Let l(x) be the first derivative of -x**2 + 19. What is w(l(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011 (base 5) in base 4?\nAnswer: 31301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -2\/3*s**3 + 13 + 0*s**2 + 0*s. Let p(o) = 2*o**2. Calculate k(p(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-19 - (-31)\/2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Let s(n) be the third derivative of -n**4\/4 + n**2. Give s(v(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**4 + 17110*x**3 - 14705885*x**2 + 116827080*x - 233107920 = 0.\nAnswer: 4, 1707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 4. Let p = n + 0. Let t = 805\/4 - 811\/4. Put p, t, 5, 8 in descending order.\nAnswer: 8, 5, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 17*o**2 - 18*o - 4. Let k be v(-18). Let b(w) = w. Calculate b(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/9 + 4138*b**4\/9 + 2134160*b**3\/9 - 2146592*b**2\/3.\nAnswer: 2*b**2*(b - 3)*(b + 1036)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 102*b**2 - 407*b - 41500. Determine h(-102).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14 = 2*g, 0*h + 2*g + 12 = 2*h. Let a(x) be the first derivative of 5*x + 17\/3*x**3 + 8 + 0*x**h. What is the first derivative of a(o) wrt o?\nAnswer: 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 4*d - 6. Let f be o(6). Let k be f\/(-3) + (-14)\/(-2). Let i = -5 + k. Solve -3 = a - i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 + 0.22. Let z = -281.98 - -281.58. Which is the second smallest value? (a) z (b) 0.5 (c) 0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(357\/(-6)))\/((-2)\/18).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -h + 7, -2*h + 8 = 2. Suppose 3\/4*b**p + 0 + 0*b**3 + 0*b**2 + 0*b = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*o - 5*u + 15291394, 5*o - 25485698 = 2*u. Suppose w + 4659998 = -2*v, 437132 - o = 2*v - 3*w. Round v to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17082)\/3796 + 1 + 342\/100.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzuzkrzrkhhzrhhzzz. What is prob of sequence rrzh?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -11*f + 4. Suppose -9*a + 175 = -f*a. Let c = -6 - -11. Calculate the greatest common divisor of a and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 195*b**2 + 31*b - 2873. Let k(g) = 65*g**2 + 11*g - 958. Let p(r) = 11*k(r) - 4*u(r). What is the first derivative of p(f) wrt f?\nAnswer: -130*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 - ((-1 + 0 - -8) + (234 - 245)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4708094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -73*d - 6. Let i(n) = 13869*n + 1139. Calculate -1139*h(o) - 6*i(o).\nAnswer: -67*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 9*m - 6. Let p be j(-10). Suppose -2*v - 3*d = -8 - 0, 5*d = 0. Is v at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**6\/45 - z**5\/15 - z**4\/18 + 2*z**3\/9 + 3*z. Factor u(x).\nAnswer: 2*x*(x - 2)*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9168 by -3056.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 472*c**3*q - 23*c**3*y**3 - c*q*y + 3*c*q - c*y**3 - 1289*c*y**2 wrt c.\nAnswer: 2832*c*q - 138*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 540, 4356, 14722, 34914, 68208, 117880?\n\"Answer: 546*g**3 - g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k + 291. What are the prime factors of w(27)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-6)\/(-45) + (-7)\/165). Let j(x) = x**3 + 9*x**2 - 24*x - 8. What is the lowest common multiple of j(k) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (231\/42)\/((-1243)\/(-4)).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y**3 + 1111*y**2 + 2*y + 9147.\nAnswer: -30*y + 2222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34164354 by -2440311.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110))\/sqrt(2))\/(sqrt(5) + (sqrt(5) - -5*((sqrt(5) - sqrt(125)) + sqrt(5)))).\nAnswer: -2*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -75, -155, -273, -435, -647, -915, -1245?\n\"Answer: -b**3 - 10*b**2 - 11*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131113 + 2332033?\nAnswer: 2200320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -15*c**3\/2 + 947*c**2\/2 - 63*c = 0.\nAnswer: 0, 2\/15, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 + (-3278)\/242 + (-114)\/33. Let d(q) = 5*q**2 - q + 9. Suppose 24 - 3 = -3*o. Let p(g) = -3*g**2 + g - 5. What is o*p(m) + y*d(m)?\nAnswer: m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (9 - 0) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/3)\/2*-1. Let g be (2 - 0)*s\/1. Let v(t) = -3*t**2 + 6*t**g + 2*t**2. Calculate v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (31 + -25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100101 - -11?\nAnswer: 101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -1482 = -1478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2936 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 600\/(-100)*(3\/(-2) + -1 + 2). Determine v, given that 12*v + 10 + 9\/2*v**2 + 1\/2*v**z = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 720\/(-660)*(-187)\/17.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22013333 (base 5) to base 2.\nAnswer: -101110000010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11982 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*a - 68 + 19 = 3*f - 18 - 26, -a = -1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5754623 kilograms in milligrams?\nAnswer: 575462.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46398 is divided by 5154?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + 33. Calculate the remainder when k is divided by 112\/84 - (-46)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**4 - 1928*j**3 - 226404*j**2 + 1442528*j + 1667008 = 0.\nAnswer: -244, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/18233 + 2060273\/510524. Calculate the common denominator of o and 145\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z. Let l(c) = c**2 + 12*c. Let y(b) = -l(b) - s(b). Is y(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, r: 3, q: 2}. Give prob of picking 2 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-48) + (173\/4)\/(267\/178).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2603248722?\nAnswer: 2, 3, 144624929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 7) to base 4.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 83 - -5?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5487 and 1593?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 2*y + 4. Suppose c + 5*v - 10 = 0, 50 = 2*c + 3*c + 5*v. Suppose 6*x + c = x. Let q(k) = 2*k**2 - k + 2. Calculate x*a(p) + 5*q(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1.3, 2\/59, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1375175*c**3 + 102*c + 399?\nAnswer: -8251050*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 7020 = -71*n + 331*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5471 by 8.\nAnswer: 5471\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 34, 80, 158, 274, 434?\n\"Answer: w**3 + 7*w**2 - 8*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 12*b**2 - b**2)*(5*b - 5*b - 4*b) + (0*b + 0*b - 4*b**2)*(19 - 6*b - 19) + 0*b**3 + 2*b**3 - b**3.\nAnswer: 81*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-2 + 5 - -1) + -6 + 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10101110010001 (base 2) to base 11\nAnswer: -841a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(84) + (sqrt(84) + -2*sqrt(84) - sqrt(84)))*6 + sqrt(84) + 6*sqrt(84)*1)\/(4*sqrt(72)\/sqrt(294)).\nAnswer: -21*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7641485s?\nAnswer: 764148500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + b + 1. Let d(n) = -5*n**5 - 4*n**3 + n + 4. Let l(p) = -d(p) + 4*i(p). What is the second derivative of l(c) wrt c?\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, 1 z, and 1 d when four letters picked without replacement from ddddddvkdknvzpn?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1173 >= -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(2\/7))*t**(-12))**41\/((t**(2\/11)*t**(-7))\/(t\/t**8*t\/(t**(3\/8)*t)*t)) assuming t is positive.\nAnswer: t**(-295583\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5292088 by -2441.\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 101. Suppose -f = -4*v + v + 130, 0 = -f - 1. Let s(t) = -2 + 2 + k*t - v*t. Determine s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 14*v - 8. Let r be u(-5). Suppose -y = -2*m + r, 0 = -4*m - 8*y + 4*y. Solve -a - 2 = 4*j - m*a, -j + 4 = -3*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 12401 = 12257 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32092, -32072, -32042, -31996, -31928, -31832?\nAnswer: -31702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 + u**3 + 0*u**3 + (2*u + 2*u - 6*u)*(-7 - 6 - 11)*(47*u**2 - 40*u + 40*u) to the form v*u**2 + q + g*u**3 + h*u and give g.\nAnswer: 2257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 4*q - 5*q. Let d(v) = v**2 + 6*v + 2. Let u be d(-6). Let z(b) = -b - 2*b + b - u*b. Calculate z(j(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2. Let o(i) be the first derivative of -i**4\/24 + 6*i**2 - 2. Let u(z) be the second derivative of o(z). Calculate u(x(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*-2 + sqrt(17) - (sqrt(17) + -1 + 2) - sqrt(153)\/((-2*sqrt(108))\/sqrt(12)).\nAnswer: -35*sqrt(17)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 8*y**2 + 205*y + 700.\nAnswer: -(y - 20)*(y + 5)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16311 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 397*o. Let d(r) = -7159*r**2 + 18*r. Calculate d(k(t)).\nAnswer: -1128322831*t**2 + 7146*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 548, -3, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 59*t**3\/3 + 354. Let u(v) = 20*v**2. Calculate 4*h(i) - 11*u(i).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -j - 11. What is the remainder when 62 is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4552 and 2.\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvvvyvtztvvtzzvm. What is prob of sequence vmvz?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -83, 8 in increasing order.\nAnswer: -83, -8, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4215*x - 8451*x + 4232*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 2.088385.\nAnswer: -1.0441925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 13. Determine g(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -2 (c) -22 (d) 0.5 (e) 0.13 (f) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696 a factor of 118315720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*o = 2433 + 17580 + 11787. Calculate the remainder when o is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-488)\/366)\/((-2)\/(-45))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + a - 19 = 3*h, 3*h - 4*a = 1. What is the lowest common multiple of 732 and h?\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/(-6) + (-100)\/75 + 5. Which is the nearest to 1\/2? (a) r (b) 11 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73579858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from xwwxwxxxwx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35578\/13 - -2735. Calculate the common denominator of n and 40\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -12783787?\nAnswer: 12783787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 139.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - -38. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15589 by -20.\nAnswer: 15589\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1753\/8 + -219. Let s = -0.5 - -0.3. Let d = -36 + 36.3. What is the closest to 1 in s, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 3110 = -1925*k + 22271. Suppose -2*h = -h. Suppose -57 = -h*l - 3*l. What is the least common multiple of l and k?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142 + 8*q - 539 + 136 + 142 + 148 to the form n*q + d and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and 28.\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89009321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 27 + 2\/13 + (-1742)\/338?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111001010101 (base 2) to base 16\nAnswer: -e55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 224*n - 12951. What is t(66)?\nAnswer: 1833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 20. Solve h + 0 = 4*i - 2*f, i - 13 = 4*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**2 + 3*j - 6. Let a be m(2). Find the common denominator of (-110)\/(-6) + a\/20 and 70\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6090 and 40697643?\nAnswer: 406976430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*c + 3, 5*c + 5 = 2*t - t. Suppose 3*x = 2*u - 12, -5*u - x = 4*x - 55. Let r be (20\/105)\/((-66)\/u). Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*s + 28 - 16 - 12 + 52*s.\nAnswer: -159*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*v**2 + 55018*v - 55018*v.\nAnswer: -312*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 3004542?\nAnswer: -3004550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1044527853 to 5 dps.\nAnswer: -0.10445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21037 divided by -86?\nAnswer: 21037\/86","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -234\/215 + -22\/43. Suppose 0 = 11*v - 14*v - 15. What is the closest to v in -2, t, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p**2 + 22*p - 10. Is m(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*t + 2375 = 135*t. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-97)\/11 + 4\/(-22). Let p be (4\/(-3))\/((-6)\/a). Let q(n) = 2*n + 3. Let w be q(p). Which is smaller: -2\/21 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 6*a)*(a**3 - 2*a**3 + 0*a**3).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*v + 24 = 0, 26 + 5 = -3*c - 2*v. Let d = 13 + c. Suppose n + d*n = 0. Solve n*i = -i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93123\/(-65531)*(-38)\/(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3599 from -31.659.\nAnswer: -3630.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + (sqrt(275) - ((3 + sqrt(275))**2 + sqrt(275))) + -5 + -3)*-4 + (3*-4*sqrt(275)*2*2)**2.\nAnswer: 100*sqrt(11) + 634768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-2)\/(((-34)\/238)\/((-1)\/4)))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -u + 12, -10*q = -5*q - 3*u - 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 333 + 1107 = 0. Suppose d*h + 525 = 243*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -18, -103, 4 in ascending order.\nAnswer: -103, -18, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*m + 24 = 0, -5*b - 5*m = -m - 30. Let o = -2 + b. Suppose 0 = 3*i - 5 - o. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.6, -1\/6, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -8. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*i - 20 = 2*y, -3*y + 22 = -5*i. Is (y*1)\/(7\/(-217)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 475961878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 + 3548*t**2 - 1047200*t + 102832576 = 0. Calculate t.\nAnswer: 271, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9321 + -8612. Solve 0 = 715*z - q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or -18\/61069841?\nAnswer: -18\/61069841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -30. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f**(1\/2)*(f*f**2)\/f**(4\/7)*((f*(f\/((f*f**(2\/47)\/f)\/f))\/f)\/f*f*f**(-1\/5))**(-10\/7) assuming f is positive.\nAnswer: f**(-2357\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4413308\/11 or 401211?\nAnswer: 4413308\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 16)\/(279\/(-124) + 372\/16). What is the fourth smallest value in -2, 25, -0.1, t?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t - 2. Let l(d) = 4*d + 1. Let m = 107 - 87. Let w be ((-10)\/20)\/(2\/m). Calculate w*y(k) - 8*l(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 + 119*l**4 + 119*l**4 - 476*l**4 - 6*l**3 + 114*l**4 + l + 1 + 119*l**4 to the form o*l**2 + g*l + d*l**4 + z + n*l**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 0*c + 2 - 1\/2*c**2. Let l(r) = 8*r. Let n(b) = -143*b. Let q(p) = -55*l(p) - 3*n(p). Determine w(q(a)).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/8 (b) 5 (c) -4 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5619018 and 66969.\nAnswer: 3189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u + 177. Calculate n(-13).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**10\/15120 + t**7\/504 + t**4\/4 + 3*t. Let i(l) be the third derivative of u(l). Find the third derivative of i(q) wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-504)\/1386*110\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 10:11 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*i - 30. Let f be (-1)\/(-3 - (-39)\/i). Let n(m) be the second derivative of -m**4\/12 - m**3 - m**2 - 6*m + 43. What is n(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 + 2*j**3 - 2*j**3)*(-3 - 3*j + 3) + 7*j**5 + 45 - 45.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j. Let f(i) be the third derivative of 1\/20*i**5 + 0*i**3 + 0 + 0*i**4 - 19*i**2 + 0*i. What is t(f(n))?\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -131?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6467776596561\nAnswer: 6467776596556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = 8. Let y(q) = -4*q**3 + 7*q**2 - 6. Let f(o) = -11*o**3 + 20*o**2 + o - 18. Let d(t) = z*y(t) + 3*f(t). Let k be 2\/(-7) - (-120)\/28. Give d(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4011*l**2 + 3922*l**2 - 7932*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.875 and 0.4?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 4*x - 360. Let g be l(-17). Which is the closest to 5\/7? (a) g (b) 2\/11 (c) 4 (d) 0.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/71 + -927\/142. Let d = m - -7. Solve 0*z**2 + 0 + 0*z**4 - z**3 + 1\/2*z**5 + d*z = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**4 + 3*j**2 + 3. Let r(c) = -24*c**4 - 8*c**2 - c - 8. Let a(f) = 8*n(f) + 3*r(f). What is the second derivative of a(h) wrt h?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(-3)\/(m**11\/m*m*m**(-4\/3)) assuming m is positive.\nAnswer: m**(-185\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -203*d*t*v**3 - 199*d*v**3*x + 2*d*v**3 - 7*t*v**3*x - 2*v**3*x wrt t?\nAnswer: -203*d*v**3 - 7*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 - 15*a**2 - 4*a + 164. Let k be t(-11). Do 5049 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -95313*p**2 + 5*p - 8. Let q be (16\/(-12))\/((-1)\/6). Let c be u(q). What is c rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 8*k**2 + 6*k - 1. Let n = -26 + 19. What is t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19 - 41*w**2 + 129*w**2 - 42*w**2 - 31*w**2 with respect to w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**4\/42 + 20*n**3\/21 - 44*n**2\/7 - 417*n. Let l(i) = 0. Calculate i.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -4*t + 5*v, 0 = -t - 8*v + 13*v + 26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -9, -14 in descending order.\nAnswer: 12, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + b = 6*r + 15, 5*b + 45 = -5*r. What are the prime factors of 1 + 2\/r*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -203, -213, -227, -245, -267?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4599 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -1.3. Let b(v) = -v - 7. Let l be b(-6). Let q be l*(-1 + (2 - 0)). What is the third biggest value in q, t, -5\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y + 1. Calculate the remainder when 56\/12 - 4 - 291\/(-9) is divided by i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsgsgsffcgs. What is prob of sequence sgf?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 11*w - 2. What is m(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3, -3, -692\/215 in descending order.\nAnswer: 3, 2\/5, -3, -692\/215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**7\/5040 - 7*q**6\/1440 - q**5\/20 - q**4\/12 - 2*q**2 + 181*q. Let a(i) be the third derivative of k(i). Factor a(o).\nAnswer: -(o + 3)*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 5 (c) 17379 (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2)*(1*12)\/(-2). Suppose n*h - 2059 - 1787 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 6*b**2 - 2*b)*(-30*b**2 + 2*b + 14*b**2 + 1 - 2) to the form q*b**2 + x*b**3 + t + u*b**4 + n*b and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -149, -207, -317, -479, -693?\n\"Answer: -26*m**2 + 20*m - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 (base 10) in base 11?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.19, -0.02, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(112) - sqrt(112)) + sqrt(112))*-2 - (sqrt(112) + (3*-2*sqrt(112))**2) - ((2*sqrt(448)*-5)**2 + -3).\nAnswer: -48823 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6)**(-44)*(v\/((v**(-1\/3)*v)\/v))**34)**(3\/8) assuming v is positive.\nAnswer: v**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 0. Suppose 5*y = 3*x + 19, w*y + 2*x = -3*y + 19. Suppose -y*n - 72 = -192. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**8\/6720 + r**7\/2520 + r**5\/20 + r**2. Let a(v) be the third derivative of i(v). Find the second derivative of a(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5.1. Let w = -9.08 + 0.08. Let y = w + 4. Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4706 = 26*s + 8*s - 3618 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127790000 rounded to the nearest one million?\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + -4 + -1.\nAnswer: -5 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**29*((q*q*q*q**(11\/6))\/q)\/q*((q\/(q*q**(-18)))\/q)\/(q\/q**(2\/47)) assuming q is positive.\nAnswer: q**(13501\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -842.1262926 + -2078\nAnswer: -2920.1262926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45324 and -1.94.\nAnswer: 87928.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 173*l**3 + 24*l**2 + 8*l + 9. Let g(b) = -172*b**3 - 25*b**2 - 9*b - 11. Let u(c) = 5*g(c) + 6*s(c). Is u(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 0 (c) 0.1 (d) 640\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*x - 26, 4*c + 5*x - 4*x = 8. Let u = 5 - c. Suppose -2*g + u*k = -106, -k - 2 = -2*k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271 - -178. Let n be (-1)\/(-4) + b\/(-12). Suppose 80 = -46*g + 56*g. What is the greatest common divisor of g and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(55\/15)*2\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96874979 is divided by 48437486?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 34*f**2 + 34*f - 15. Let h be (-66)\/(-44) - (-126)\/4. Let c be m(h). Solve z - 13 + c = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -6.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 2*m + 10859. Let u(z) = -6*z - 2. Calculate u(d(t)).\nAnswer: 6*t**2 + 12*t - 65156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v + 12. Calculate m(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -399227894 times 0.3?\nAnswer: -119768368.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5497*m**4 - 7166*m.\nAnswer: -65964*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100003 + -210322301?\nAnswer: -211022310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 950669569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 300*d - 302*d + 139 = 0, -6*d = 3*m - 156 + 33 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 8*k**2 + 33*k + 5. Let r be c(11). Suppose 2*f - 3 = h, 0 = r*f + 4*h - 9 - 5. What is the third biggest value in 4\/5, f, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.047? (a) -1\/8 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, k: 2, o: 7, v: 4}. Give prob of sequence kk.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59\/4 of a hour?\nAnswer: 53100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99870214?\nAnswer: 2, 101, 494407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75743755 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 9*w**2 - 5*w - 45. Determine q(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/53 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 57901277 divided by -57901277\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2320\/176) + (0 - (-28)\/33)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -29*b**2 - 33*b - 1. Give z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 3*s = 0. Let x(w) be the second derivative of 0*w**5 + 4\/15*w**6 - w**4 + 0*w**3 + s + 0*w**2 + 7*w. Find the third derivative of x(r) wrt r.\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-22))\/((25\/30)\/(1617\/(-297) + 6))\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*w = -90*w - 79*w - 10. What is o in 15*o + 1\/6*o**w + 675\/2 = 0?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26143 and 39?\nAnswer: 78429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 0.14. Let i(w) = w**2 + 14*w + 46. Let j be i(-8). Let x be 11\/j + 3 - 8\/(-2). Which is the closest to 2? (a) -3\/2 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, -155, -478, -939, -1544, -2299, -3210?\nAnswer: -4283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*w + 1, -3*b = -0*b - w. Let h be (-2)\/b - (1 - (4 - -28)). Solve -4*o + 3*o = 2*t - 1, 5*o - h = 2*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 58*k**2 - 116*k - 253. Determine b(60).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12538573?\nAnswer: 563, 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 234 - 259. Do v and 3\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + 0)**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -52, 1708?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/2 + 920\/8*1. Let p(s) = s**3 + 3*s**2 - s - 2. Let d be p(2). Calculate the highest common factor of d and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50334, -102656, -154968, -207264, -259538, -311784?\nAnswer: -363996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10036*b + 90322. Determine k(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -13. Suppose 5 + f = r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + 1.68. Let d = 1.4 - l. Round d to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*s + 9, 4*s + 1 = -3*m - 5. Let p be (0 - m) + 3 - -2. Suppose 15 = 2*z - z - p*j, 5*z + j = 91. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Let k = -0.0157 - -2.015764. Let o = f + k. Round o to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -3\/7 (c) 2\/3 (d) 2\/55 (e) -0.22 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2200*a + 1056*a = -52619 - 77797 for a.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 12 + 0*b + 0*b**2 - 1\/3*b**3. Let c(r) = -2*r. What is u(c(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145\/1001 - 12\/91. Calculate the common denominator of 119\/66 and k.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*k + 0*k = -5*k - 3*k, 7*b + 2*k = -3*b + 48 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooninn. Give prob of sequence no.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 717438 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2\/1329 (c) -922 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -254b3?\nAnswer: 254ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 19 + 4 = 0. Which is the closest to 3? (a) p (b) 0 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (66\/(-6963))\/(3 - 60\/(-4)). Is 0 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*o**2 + 28*o - 496\/9 = 0 for o.\nAnswer: 2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585617 a multiple of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {e: 1, d: 2, y: 2, v: 1, i: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + 2 + -2 + 1. Let a = -9 + r. Suppose 0 = -2*u - 2*v - 2*v + 12, 5*v - 37 = a*u. Sort 15, u, 3.\nAnswer: u, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3453, 3359, 3265, 3171, 3077, 2983?\nAnswer: 2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10.17632 times -4\nAnswer: -40.70528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -71. Let c(z) = z**2 + 15*z + 31. Let p be c(-13). Suppose -36 - h = -3*y + p*t, 3*y - 3*t - 90 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 14 = 2*w, -2*w + 5*s - 1 = -27. Suppose -5*k + 22 = -w. Solve -5*o + 0*o + 25 = -2*y, y + k = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/258 and -85\/18143058.\nAnswer: 780151494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 - 705*g**4 + 3942*g**3 + 42870*g**2 - 381225*g + 772875.\nAnswer: 3*(g - 229)*(g - 5)**3*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21347111*p**2 - 10923360*p?\nAnswer: 42694222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 8 = 2*b - 3*b, -b + 3*v + 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -415 + 433. What is the common denominator of ((-10)\/72)\/(-2 + q\/12) and 59\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.795309 to one decimal place.\nAnswer: 36.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 4*r = -5*r + 4*x + 131, -5*x - 492 - 76 = 12*r for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131123113 is divided by 383.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 878\/6 + (-2)\/6. Suppose 2*v + 3*s - s - f = 0, -4*v + 278 = -3*s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.65 - 3.65. Put -7, 3, 0, u in increasing order.\nAnswer: -7, 0, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 0*d)*(2106*d + 1996*d - 3885*d).\nAnswer: -217*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**2\/3 + 26798*w + 20100.\nAnswer: -2*(w - 10050)*(4*w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -209*c - 11102 - 48*c**2 - 45*c**2 + 100*c + 68*c**2 wrt c?\nAnswer: -50*c - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {k: 2, l: 1, w: 3, c: 1, x: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1242 + 1233 - 2475 + 70*n - 68*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 642312 and 16378956?\nAnswer: 32757912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/u**(3\/2))**(-19)\/((u**(-1\/2))**(2\/35)\/((u*(u**6\/u)\/u)\/(u*u\/u**4))) assuming u is positive.\nAnswer: u**(6477\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 47 - (2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 482 + -481.8. Let v be 3\/(-21)*(-12)\/(8 - 5). Put 1.6, v, z in increasing order.\nAnswer: z, v, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, z: 3, r: 4}. What is prob of sequence ddrz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -451023 - -3?\nAnswer: -451020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20598\/(-2859689)*(-3)\/(18\/14)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 409494 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.2 - -21.1. Let s = b + 17. Is 14 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2. Let g(f) be the first derivative of 0*f - 4\/3*f**3 + 6 + 0*f**2. What is g(v(s))?\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6)*(3 + 3). Let n be (-9)\/6*1 + 98\/60. What is the closest to 1 in l, n, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -725*w**2 + 6*w + 147. Let m(q) = q - 6. Let h(n) = -f(n) + 6*m(n). What is the derivative of h(k) wrt k?\nAnswer: 1450*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*z + 4*n + 3, -4*n = -5*z + 27. What is the smallest common multiple of z and (10 - (4 + -9))\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(170) + 2*sqrt(170)) + sqrt(170))\/((sqrt(80)*1)\/sqrt(8)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165746650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyee when four letters picked without replacement from {e: 2, y: 4, f: 1, p: 4, s: 3, i: 6}?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 + -8.2. Let j = 0.53 - -2.41. Let n = 0.06 + j. Which is the second smallest value? (a) 0.5 (b) -3 (c) g (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2\/5 + 8296*g\/5 + 8294\/5 = 0?\nAnswer: -4147, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a milligram in micrograms?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o - 4*k = 45*o, 2*k - 4 = o + 5*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10392026 is divided by 546947?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106329865?\nAnswer: 5, 421, 50513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (852\/34 + 2)*(80 + -81). Which is greater: 0.01 or b?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from {x: 1, c: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2 = -3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 6*u**2 + 3*u - 7. Let r be t(5). Solve 5*l - 4*z = -r, 4*z = -5*l - 0*z - 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -1. Let l be 5\/(-2)*r\/35. Solve 0 = 4*g + l + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -135?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 + 6*z**4 + 2*z**3 - 6*z**2 - 4*z.\nAnswer: 2*z*(z - 1)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11110?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 168 - z**3 - 3*z**2 - 135 + 4*z**3 - 86.\nAnswer: 3*z**3 - 2*z**2 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/9)*b**(-1\/2)*(b**7)**(1\/16) assuming b is positive.\nAnswer: b**(23\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**5 + 13*d**2 + 17*d**5 - d**2 wrt d?\nAnswer: 840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 11466*o + 15*o**3 + 21*o**3 + 58*o.\nAnswer: 36*o**3 - 3*o**2 + 11524*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.1605 (b) 2\/21 (c) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (-5 - 3 - (9 - (1 - 5))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -22*f + 15. Let x be j(7). Let a = x - -282. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17680 (base 12) to base 2.\nAnswer: 1000010000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 13*i - 20. Suppose 22 = -7*h + 5*h. Let a be s(h). Let d = a + -3. What is the closest to d in 2, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 31*i**2 - 15*i + 21. Give r(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*n = 24, -4*n = 2*c + 19 - 1. Let v be (25\/(-30))\/(c\/18). Solve -v*j + 1 = 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let f(j) = -3 - 3*j + 3*j + j + 4. Calculate -f(z) + 2*y(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 2*q - 29. Let b be (6 + (-255)\/39)*-13. Determine i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64610.96 decades to centuries.\nAnswer: 6461.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a century in years?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*m = 15, 3*r + 4*m = -21 + 1. Let l = r - 1. Does l = -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062024342 rounded to 5 decimal places?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -80*d - 6048. Let w be m(-83). Is w greater than 593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1898, -4040, -6186, -8336, -10490?\nAnswer: -12648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96 - 65 - (-2 + 16)) + -36?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 8 = 72. Let h(l) = -l**2 - 1. Give h(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.749 + -13.999. Which is the nearest to 0? (a) 3 (b) 1\/4 (c) l (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*p + 5. Suppose 2*n - 7 = -4*i + p, 4*i = 4*n + 4. Solve 1 = i*s + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15182922 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 128637839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 1. Let n be f(-1). Suppose -8*l = -3*l - 4*c + 630, 2*l + 3*c + 252 = n. Let s = l + 197. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603.8 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 18 + 870*k**3 + 21403*k**2 - 21401*k**2 as h*k + n + j*k**2 + u*k**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q\/q**(-3\/5)))*q)\/(q\/(q\/(q\/(q**8\/q))*q)))\/((q*q*q\/(q\/((q\/q**(-2\/21))\/q))*q)\/(q\/q**(-1\/5)*q)) assuming q is positive.\nAnswer: q**(1019\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*d - 30. What is the highest common factor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:04 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = r + 3*t - 55, -2*t - 63 = -r. Suppose -2*b - 19 + r = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -234*f + 1. Let g(t) = -t**2. Calculate k(g(w)).\nAnswer: 234*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2014 - 7952. Is y smaller than -9965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyzysfr. Give prob of picking 1 s, 1 f, and 1 r.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 4:25 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 1 - 48*m**3 - 43*m**3 + 88*m**3 - 19*m to the form g*m**2 + w*m + b + h*m**3 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*g**3\/7 + 46*g**2\/7 + 22*g\/7 - 8.\nAnswer: -2*(g - 4)*(g - 1)*(6*g + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/1953131?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(176)*2*-3)*1.\nAnswer: -24*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(57\/30 + -2). Let y(q) = q**3 - 11*q**2 + 14*q - 34. Let a be y(j). Suppose 10*n + a = 4*n. Put n, 3, -14 in increasing order.\nAnswer: -14, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 - -2.1. Which is the closest to k? (a) -1\/2 (b) 2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i - 420. Let a = i - -86. Solve -a*v = k - 13, 3*v - 2*v - k = -1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 90\/(-135)*9\/(-2). Solve x + 2*j + 2 + g = 0, 2*x + 2*j = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**3\/3 - 4*h**2 + 4*h - 992. Let r be 8\/(-14) + 38\/(-7). Determine i(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/11, 0.2, -37, 0.1287, 4\/5, -1\/11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21691, 21684, 21673, 21658?\n\"Answer: -2*a**2 - a + 21694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -1, 149, 3\/2, -5438 in decreasing order.\nAnswer: 149, 3\/2, -1, -35, -5438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -124134644 and -0.1.\nAnswer: -124134644.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86347 + 86391. Suppose -w - 60 = -4*w. Calculate the highest common factor of l and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 q when four letters picked without replacement from qrrrq?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(4))\/sqrt(5) + ((sqrt(275)\/sqrt(5))\/sqrt(11) - sqrt(5)) - (-1 + sqrt(500) + 1 + sqrt(500)).\nAnswer: -19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -5, 4, -3, 8750 in ascending order.\nAnswer: -5, -3, 4, 49, 8750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41043238 is divided by 533028.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 703 = -n, 3*z - 7*n = -5*n + 519. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1887*d**2. Let f(n) = -77*n. Determine o(f(k)).\nAnswer: 11188023*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7296 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -4*n + 6*n. Let v = n + 2. List the prime factors of v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618818143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w**3 - w**2 + w**2 - 195.\nAnswer: 38*w**3 - 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.4 + -19. Let s = -0.6 - g. Let c = -1.5 - -0.5. What is the closest to c in -1\/5, -4, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25836*c - 31782 = -12647*c - 12317*c + 72858 for c.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*y**2 - 29*y + 215*y**2 - 1 + 3 - 113*y**2 to g*y**2 + k*y + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3 - 19518*u**2 + 38078302*u + 38097822 = 0.\nAnswer: -1, 2697, 7063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4351.7777 rounded to the nearest integer?\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -19*b + 2. Let i be f(-2). Suppose 5*j = -15, -3 = -2*h + h - 2*j. Suppose h*u = 6*u + 15. Calculate the highest common factor of u and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 163\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*80\/(-140). Which is the smallest value? (a) -0.2 (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006121752 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 9*p - 3. Suppose -4*u + 4*f - 1640008 = -0*u, 4*u = -p*f - 1639994. Round u to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 149280*d**2 + 1856445936*d - 14861122944.\nAnswer: 3*(d - 8)*(d + 24884)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 6*o**3 - 4*o**2 + 24*o - 16.\nAnswer: 2*(o - 2)**2*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-42) + (-7020)\/(-28). Suppose 2*h + 81 - o = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3092488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 789858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1529260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*x = 12, 906 = 3*v - 4*x + 897 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 392744 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/60645 and -81\/108850.\nAnswer: 4245150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*36\/504*-6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*m + 14*m - 3*k, m + 2*k = 11. Let p be (-1)\/(-2)*(-8)\/(-5). Factor 2\/5*f**m + p*f**2 + 0 + 2\/5*f.\nAnswer: 2*f*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/3 and (60\/63)\/(-10) + (-4020)\/(-756).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 2*d**2 - 44*d - 15. What is z(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00705391284 rounded to five decimal places?\nAnswer: -0.00705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -98, -1, 8958\/11?\nAnswer: 8958\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -360 greater than -25\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 3:54 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(y**3 - y**3 + 5*y**3) - 7 + 2*y**3 - 5 + 3 to the form z*y**2 + r*y**3 + k*y + s and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 4 (c) 1\/28 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1103 - 1100. Put 12, 5, q, -1 in ascending order.\nAnswer: -1, q, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i**3 + 0 + 0*i**4 - 1\/60*i**5 + 180*i - 2*i**2. Let f(a) = -4*a**2 - 2*a - 2. Calculate -f(z) + 3*n(z).\nAnswer: z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5*1\/(-1))\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than -515?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + c**2 - c. Let w(j) = j**3 + 3*j**2 - j - 1. Let b(h) = 2*q(h) - w(h). Let n be b(1). Solve n*r = -5*r - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108.7258, -56, 1 in decreasing order.\nAnswer: 108.7258, 1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410 divided by 5.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(170)*1)\/sqrt(10) + 0.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177414*u**3 + 2*u + 146469.\nAnswer: -1064484*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s - 7. Let q be b(-3). Let w = 6 - q. Solve l - 2*n - w = -10, 11 = 4*l - n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -41*b + 31. What is the hundreds digit of p(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*n**3 + 3*n**3 - 2*n**4)*(-65 - 77 + 20) - 9*n**4 + 6*n**4 - 11*n**4)*(5 - 6 + 0) in the form f*n + y*n**4 + v*n**2 + c + z*n**3 and give y.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10)*230\/(-46)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201220022 (base 4) in base 2?\nAnswer: 100001101000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4263 divided by 5\nAnswer: -4263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591752.\nAnswer: 2, 7, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 237\/8, -8, 54, 0.5, 63?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 48. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a84ab (base 14) to base 5.\nAnswer: 334421240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4211 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + (4\/(-5))\/(102\/(-255)))*1. Suppose -4*f = -5*o - 2 - 2, -5*f = -5. Put x, o, 35 in decreasing order.\nAnswer: 35, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7647 + 12194. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -451722\nAnswer: 1\/150574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) 1\/223 (d) 0 (e) 3 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.9 + -31.9. Does 8 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 963 + -4?\nAnswer: 95c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/40 - 2479\/120. Find the common denominator of t and ((-30)\/22)\/1*-2.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0111 * -1952\nAnswer: 21.6672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:26 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**7\/105 - 2*k**6\/5 + 9*k**5\/5 + 90*k**4 + 675*k**3 + 52*k**2 + 2. Factor w(v).\nAnswer: 2*(v - 15)**2*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -991 - -670. Let s = j - -321.2. Which is the second smallest value? (a) -4 (b) -1\/2 (c) s (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 16*z**6\/15 - 14*z**3\/3 - 28*z. What is the second derivative of q(b) wrt b?\nAnswer: 384*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 8*i**2 - 18*i + 9. Determine w(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10)*r)\/r)**50*r**6\/((r*r**28)\/r) assuming r is positive.\nAnswer: r**(-522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/10*(-90)\/(-36).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1554 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -2*y**3\/3 + 826*y + 1. Let h(r) = -4228*r**2. Give m(h(c)).\nAnswer: 16912*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l = -21*l + 12*l - 336 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4376282*o*x**2 + 5197*x**2 - 23*x wrt o?\nAnswer: 4376282*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + -11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence booo when four letters picked without replacement from bhobhoohho?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2791 - 5583 + 2786 + 6*n + 8*n - 27*n**3 - 2*n in the form x + g*n**2 + t*n**3 + c*n and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58022946 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + (2*sqrt(192) + sqrt(192) - sqrt(192))\/sqrt(6))*6 + -4)*4.\nAnswer: -16 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 712*x**3\/3 - 7*x**2\/2 + 9*x + 29. Is p(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77136 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 3*f - 2*f - 2*f + 2*f - 2*f + (2*f - f + f)*(-5 + 5 - 1) + 4*f + f + 12*f)*(2 - 1 + 0) to s*f + g and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 26. Let b be j(12). What is the units digit of (105\/b)\/(1\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2059 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454872 is divided by 575.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 60 - (8 - (-2 + (8 - (4 + 6)))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = -9*u + 151. Calculate the greatest common divisor of 304 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (11 - 18 - (8 + -6)) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/54 - g**3\/9 - 2*g**2\/9 + 13*g - 2. Let i(l) = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14742*w**3 + 7350*w**3 + 7380*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**4*q + 2*i**4 + 8*i*q + 15*q - 3 wrt i?\nAnswer: -8*i**3*q + 8*i**3 + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13916 is divided by 237?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4254486ns in hours?\nAnswer: 0.0000000000009515135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.743 + -0.47. Let p = h - -0.033. Let s = p + 1.18059. Round s to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1764 at least -1753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5042 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7*z - 12 = 0. Let b = z + -2. Let t(o) = -1 - o + b. Let v(c) = -2*c. Give t(v(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1317735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2497143 - -2889865.16. Let h = -392714.1599935 + n. Let g = h - 8. What is g rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e86a - -198?\nAnswer: -1e6c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 3*q - 7 - 1, 0 = 4*v + 3*q + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 954 and 317601?\nAnswer: 33665706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c - 2. What is m(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3 - 567*o**2 - 28245*o + 28811 = 0.\nAnswer: -47, 1, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41296\/16 - 2*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 5\/4*d**4 + 0*d + d**3 + 0*d**2 - 14. Let c(q) = -40*q**3 - 25*q**2. What is 25*a(h) + 3*c(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(0*g + 3*g + 2*g)*(-3*g**4 + 0*g**4 - 2*g**3 - g**4).\nAnswer: 60*g**5 + 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.251611924 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1217370 and 0.3.\nAnswer: -365211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 - -131. Suppose o = -5*c - 14, 4*o - b = 3*c - 3. Solve 0 = -3*r + o + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14658*s**2 - 14*s. Let f(d) = d**2. Calculate w(f(r)).\nAnswer: 14658*r**4 - 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l - 1. Suppose -8*y + y - 672 = 0. Let w be ((-4)\/8)\/(4\/y). Let m(o) = -10*o**2 - 12*o + 12. Calculate w*v(x) + m(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-3 - 72*-7). Suppose -4*u + f + 512 = 9, 4*u - 2*f = d. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 4*v - 20. Let j be i(5). Let y be (-4 - (-98)\/21)\/((-2)\/j). Solve -5*p + 3*p - y = -3*s, -2*s - 2*p - 10 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1338, -1 in decreasing order.\nAnswer: -1, -14, -1338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/11*(-50)\/(-150). Let h = 0.48 + -0.88. What is the closest to 8.1 in 0.2, j, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -3 - sqrt(684)) + 5 + (sqrt(684)*1)**2 + -2 + ((sqrt(684)*-2 + sqrt(684))*-1 - (-3 + 1*sqrt(684))) + 3.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 9. Let k(t) = t**3 + t + 1. Let m(f) = 1. Suppose -1 = -w, 2*w + 2*w = o + 5. Calculate i*k(d) + o*m(d).\nAnswer: d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-3) + 1 - 26797. What is o rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-2)\/4 - 0). Suppose 6*t - 10 = t. Let s = f + t. Solve -z = 3*u - 2*z - s, -3*z = 3*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let v(n) = 7511*n**2. Give t(v(s)).\nAnswer: -15022*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*f*s**4 - 19*f*s**2 + 2*s**4 - 2 wrt s.\nAnswer: 2424*f*s + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*-23*(-4)\/368*18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 3*n + 1. Give u(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p - 112. Let s be (-8)\/p + 43334\/(-14). Let h be 1\/2 - s\/10. What is h rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 52 = -6*j, 11290*m + 100 = 5*j + 11295*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*m**4 + 3900*d**2*m**2 + 12*d**2*m - 443729*m**5 wrt m.\nAnswer: -48*d**2*m - 26623740*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**4\/72 - f**3\/12 + f**2\/6 + 4*f. Suppose w(u) = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19016 + 20353. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1045, 4301, 9765, 17437, 27317, 39405, 53701?\n\"Answer: 1104*k**2 - 56*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2144886 and -2?\nAnswer: -4289772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkzkzzzvkvvkkkzkv. Give prob of sequence vv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 379577 and 41140.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353518 greater than 1353557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-50)\/(-255))\/(-5))\/((-50)\/(-100))\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/3 + 58*n**3\/3 - 36*n**2 = 0?\nAnswer: 0, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61753242, -123506495, -185259748, -247013001?\n\"Answer: -61753253*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, b: 1, l: 3}. What is prob of sequence llff?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**5\/40 + u**3\/3 + 2. Let v(s) be the third derivative of t(s). Let h(l) = 9*l - 4*l - 4*l. Give v(h(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10010000010110 (base 2) to base 8\nAnswer: 22026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4))**(-31)*y\/y**3*y*y**(-11))**46 assuming y is positive.\nAnswer: y**(-3243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/7 - 1228*t**3\/7 + 113826*t**2\/7 + 22924304*t\/7 + 696988448\/7 = 0. What is t?\nAnswer: -52, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, 2\/29, -5, 2.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*g**3 + 404*g**3 - 1069*g**3.\nAnswer: -694*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 151180, 151384, 151588, 151792?\n\"Answer: 204*m + 150976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*a - 10, -3*t + 10 = 4*a - t. Suppose z = -5*i - a*i - 1734, -2*z = 8. Calculate the common denominator of 7\/21 + i\/(-24) and -145\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3 in ascending order.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 303\/(-24)*(34 - 42). Calculate the greatest common divisor of b and 202.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.02 - -1.54. Let d = s + -3.711. Round d to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4718, 19195, 43326, 77111?\n\"Answer: 4827*q**2 - 4*q - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose -v*m + 18 = 3*s, 7*s - 30 = 2*s + 4*m. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*y + 20, y - 10 = -4*p + 4*y. Suppose -i = -2*i + p. Suppose 3 = -4*k + 5*u + 5, -u - 10 = -i*k. Solve -2*z = 3*x - 2 - 2, k*x - 32 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(6*(sqrt(20)\/sqrt(2) + sqrt(10)))*-2*5*-1.\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w + 385 = -r - 89 - 27, -r = 5*w + 39 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095487830 to the power of 1\/2, to the nearest integer?\nAnswer: 33098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**3*i - 2*h**2*i + 2*i + 31 wrt h?\nAnswer: 3*h**2*i - 4*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 1, h: 2, l: 3, f: 3}. Give prob of sequence sfr.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 3*k - 6. Let o be p(5). Suppose -5472 = -2*u - 2*u - w, -o*u + 2*w = -5460. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 142594, -1 in descending order.\nAnswer: 142594, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, -5, 9 in descending order.\nAnswer: 13, 9, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*k + 25*k**2 + 170*k + 155*k - 484*k + 10.\nAnswer: 25*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 11762123\nAnswer: 11762123.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -0.2, 5, -24, 2.56 in ascending order.\nAnswer: -24, -1, -0.2, 1, 2.56, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cyyyyyycycyyhyfh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - (11 - (-21 - -18))) + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v. Let a(g) = 7*g**2 + 5*g - 397. Determine a(m(f)).\nAnswer: 700*f**2 + 50*f - 397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-135)*26\/91.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14335?\nAnswer: 5, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2516, -5027, -7540, -10055, -12572, -15091, -17612?\nAnswer: -20135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 491\/2231 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from bcbbbbkcbcc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 6805.\nAnswer: 3\/6805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnfiiffiiiififnf. What is prob of picking 1 f and 2 i?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -535?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulmmmmmmmumrl. What is prob of sequence ur?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39054005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -61, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 645*s + s**2 - 40 + 5*s**4 - 643*s + 208*s**3 - 207*s**3 + s**4 to the form z*s**2 + k*s**4 + a + m*s**3 + t*s and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3 + 3 + (0 + 2 - 4)*(0*p + 0*p + p))*(3*p**2 - 3*p**2 - 15*p**2).\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23276688.\nAnswer: 2, 3, 239, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 2 = 4*d. Let c(o) = 4*o**2 + 6*o - 1. Let f(k) = -3*k**2 - 6*k + 2. Let s(y) = -2*c(y) - 3*f(y). Let i be s(-8). Solve -2*w = -d*w + i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + -2 + (11 - 3). Suppose 12*h - 1185 - 111 = i. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -5 (c) -0.5 (d) -1532\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -3*g**5\/80 - 9*g**4\/8 - 12*g**3 - 48*g**2 + 49*g. Determine x, given that z(x) = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*m = -10, 3*g + 3 = -2*m + 5. Let i be 3*(40\/(-21) + g). Let v = 1 - 0. What is the nearest to -1\/4 in i, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from weelllwlewb?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(468)\/sqrt(9) + sqrt(13) - sqrt(13)*2*3)*-5)**2*-1.\nAnswer: -11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 825 + -847.42. Round s to 1 dp.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5316*w - 99766 - 131841 = -221*w - 88947 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/77 + 1\/11. Let s = -4 + 5. What is the nearest to -0.1 in s, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114853339 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 86. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (0 + 12 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 145273 and -5.5.\nAnswer: -799001.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974070415 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5)\/h**2*h**5\/(h\/h**1))**(-34) assuming h is positive.\nAnswer: h**(-646\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u + 607 = -i, -2*u = 4*i - 308. Calculate 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 g = 10.15 + -10. Let z = g - 0.15. Let t = 24.52 - 24.02. Which is the nearest to z? (a) -1\/4 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(3*r**5 + 2*r**5 - r**5) + 2*r**5 - 7 - 2*r**3 + 0*r**3 + 5.\nAnswer: 6*r**5 - 2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2599441 to the nearest integer?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 165*t - 317. Let i(a) = 130*a - 238. Let q(o) = -9*i(o) + 7*l(o). Calculate q(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (240\/(-14))\/(-30)*(-14)\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105156421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Let y = -361 + 364. Let c be 12\/16*16\/18. What is the closest to c in 4\/9, y, h?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*f**3*w + 31*f**3 + 4*f**2*w - 313*f**2 - 93*f*w + 2579409*w wrt f?\nAnswer: 510*f*w + 186*f + 8*w - 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-9))\/4 + 12\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 13 = -u, -5*c - 29 = -3*u + u. Suppose -27 + u = 2*t. Let q be (-1 - t) + -2 + -1. Solve q = 2*d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 23 + 1 = 0. Suppose w - 24 = -3*w + 4*b, -4*w - 4*b + 8 = 0. What is the least common multiple of w and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*z - 249 = -425*z + 31 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**4\/4 - 4*b**3 - 7*b**2 + 16*b + 2. Determine i(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1572\/(-6812))\/((-5)\/130)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 30. Let h = c + 12. Let v be -1 + -2*h\/(-2). Solve v*k - 10 = -0*k, 23 = 4*m + 3*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*v + 71 + 463. Solve 4*n - 5 = -j, -n + v*j - 4*j = 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17049 is divided by 3381?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) -1814 (c) 21.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 365021964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177 - 18 + 81)*(-u - 2*u + 4*u).\nAnswer: -114*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 9*d**2 + 9*d - 6. Let f be i(8). Let j be (-54)\/(-63)*(f + 105 + -2). What is the greatest common divisor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -5*((-1728)\/176 - -11)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29 + -0.49. Let i = j - 0.2. What is the fourth biggest value in 2, i, 0, 12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 times 1877?\nAnswer: -882.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/11 and 4*750\/1488 - 3.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 3*l + 23, -222*c = -225*c - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:47 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 2*y - 2649363*y**2 + 2649363*y**2.\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.73 - -0.27. Sort 0, d, -0.3, 5 in decreasing order.\nAnswer: 5, d, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.39 - -0.19. Which is the nearest to 0.1? (a) -0.5 (b) w (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9053668 and 8437?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)\/sqrt(2)*-4 - sqrt(40)) + sqrt(40))\/sqrt(8))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4683.82 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -356378522 divided by -2?\nAnswer: 178189261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(3\/16))\/b)\/b*b)\/b*b**6 assuming b is positive.\nAnswer: b**(93\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 4:14 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2913 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - d - 25 = 3*c, -2*c + 16 = -4*d. Let y be 26\/(-4) - (-4)\/8. Let q = 8 + y. Solve -2*p - p + 4*g - c = 0, q*p + 2 = -g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 3)\/(175\/70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14427 in 10, 1\/4, -0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -48\/193873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.06 - 1.94. What is the nearest to -1\/2 in s, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/468 and 83\/208.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-104)\/(-18)) + 8786\/(-414)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.17 - -1.12. What is the second smallest value in r, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 39*w - 8. Let k(o) = 20*o - 3. Determine -10*k(j) + 4*m(j).\nAnswer: -44*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 4 (b) -2\/9 (c) 6 (d) 0.05 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 69144.2307 to the nearest 100.\nAnswer: 69100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 2*n + 856 - 848 + 5*n.\nAnswer: n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -1015, -1584, -2153?\nAnswer: -2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2*q + 2*q - 3*q)*(-250 - 183 - 497 + 66).\nAnswer: -864*q**2 + 2592*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 540211 and 84?\nAnswer: 6482532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = v - 3, -4*v - 3*k + 0*k + 26 = 0. Suppose v*f - 2*p - 4 = 0, 0*f + 3*p = f - 6. Suppose f = 3*j - 4 - 5. Solve 6 = -5*a - 14, -j*s - 4*a = 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*q + 253*q - 5*f = 40, 0 = -6*q - 2*f + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.6 + -83.8. Round v to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 6*g + 3. Let y be r(-6). Suppose -4*c = -10 + 30, -3*c - y = 2*n. Let a(w) = -w**3 + 9*w**2 - w - 5. Is a(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 1. Let j be z(2). Suppose -31 + 10 = -j*h. Suppose 4*y - h = 9. Solve 0 = -y*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7669\/12 - 640. Find the common denominator of 99\/16 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) + sqrt(121) + -2*sqrt(121) - sqrt(121))*-4)\/(sqrt(11) + sqrt(275)*3).\nAnswer: 5*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (37 + -64 - -14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 75910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2. Suppose d + 4 = j. Let n = -3 - d. Solve n = 5*b - 3*v, -5 = -0*v - v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13977*g**2*j**2 + 1623*g**2*j - 2*g*j**2 - 11*g*j - 9*g wrt j?\nAnswer: 27954*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**2\/7 + 90*k\/7 + 93\/7 = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r + 6. Let v be u(4). Let c be (-22 - 1)\/((-6)\/(-6)). Let p = -17 - c. What is the greatest common divisor of v and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 504117, 2016663, 4537573, 8066847?\n\"Answer: 504182*r**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 38. What is the remainder when 62 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 3*a**3 + 0*a**3 + (-2*a**3 + 3*a**2 - 5*a**2 - a - a)*(11 - 4 + 15)*(-3 + 0 - 2).\nAnswer: 222*a**3 + 220*a**2 + 220*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -16*z**6 + z**5 - 3*z**4 - z**2 - z - 12. Let k(v) = v**6 - v**5 + v + 1. Let p(u) = k(u) + y(u). Find the third derivative of p(s) wrt s.\nAnswer: -1800*s**3 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 - -195. Suppose r*z - 1254 = 1746. Round z to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333242229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*n - 6*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 0 (c) 43 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/12 and 5\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -33 - (-11 - 5 - (1 + 2))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045 * -0.9.\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47755*m + 47747*m + 47744*m - 190994*m + 47755*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25438799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (0 + 326))*(-15)\/30?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*z**2 + 27*z**3 + 1142*z**4 - 1141*z**4 + z**2 in the form g + w*z**3 + p*z + x*z**2 + a*z**4 and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -25, 1 in descending order.\nAnswer: 3, 1, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**3 - 16*j**2 - 8*j - 8. Let g(m) = m**3 - m**2 - m - 1. Give 14*g(k) - 2*n(k).\nAnswer: -2*k**3 + 18*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 b when four letters picked without replacement from {b: 3, v: 4, o: 4, u: 7}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 870026480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 4*d**2 - 4*d - 3. Let h be p(5). Suppose -z - h*z = -12. Which is smaller: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 + 1022*o**3 + 171496*o**2 + 9357880*o - 9530400 = 0. What is o?\nAnswer: -190, -132, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(1*sqrt(6)) + 1*sqrt(48).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (67\/5)\/(-1 - 80\/(-75)). Let t = -175 + z. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/253 and 4\/23.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**4 + 40196821*m**2*r**2 - 8*r**2 + 44220*r + 7 wrt m.\nAnswer: 4*m**3 + 80393642*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/4 (b) 347 (c) -3\/7 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from xggggxgx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*j = 38565777 - 38571384 for j.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -237, -351, -465, -579, -693?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 1580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4834.\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 4*g + 4. Let z be v(5). What is the tens digit of 3\/z - 29\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6\/n)\/n*n*n**3*n**(-6)*n**(4\/7))\/((n**1)**(-21)\/(n**(-1\/5)\/n**1)) assuming n is positive.\nAnswer: n**(783\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 14*y**2 + 18*y + 47. Give z(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116323324.\nAnswer: 2, 13, 2236987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -24.8. Let i = t - -0.8. Which is the biggest value? (a) 6 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {s: 2, b: 1, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 + -5 - (-1 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -70. Let b(q) = q**3 + 2*q - 1. Let u be b(1). Solve g*p - 4*o - 3 = 2*p, -u*p - 18 = 4*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20533 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 4 - 2 + 2 + 4. What is the units digit of r(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j - 4*j)*(16 - 13*j**2 - 16 + (-5*j + 2*j + j)*(-j - 3*j + 2*j) + 2*j**2 + j**2 - j**2 - 3*j**2 + 2*j**2 - 3*j**2)*(-2*j**2 + 4*j**2 - j**2).\nAnswer: 22*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let b(y) = 56*y - 143*y + 50*y + 46*y. Calculate b(t(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:22 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/28 + (-25)\/(-35). Let v be -1 + (c - -49)\/5. Let d be v\/21 - 128\/(-28). Solve -f + 3*f = -5*y + 20, 0 = 4*f - d*y - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 11152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10273303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.38904 days in hours?\nAnswer: 2289.33696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 832, 0.09, 0.2, 13\/4 in descending order.\nAnswer: 832, 13\/4, 0.2, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.91 + -3.51. Let b be (7\/(7\/(-2)) + 1)\/(-3). Sort -2\/13, -2\/5, b, g in ascending order.\nAnswer: -2\/5, -2\/13, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + t - 4 = 0, m - 9 - 11 = -5*t. Let o(s) = s**2 - s. Let d be (-2 - -1)\/(-1 + 0). Let i(l) = 7*l**2 - 5*l. Let r(f) = d*i(f) - 6*o(f). Give r(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(4\/2918*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**6\/300 - p**5\/200 + 14*p. Factor f(y).\nAnswer: -y**3*(y + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*h**4 - 24*h**4 - 12*h**4 + (-6*h**4 + h**4 + 4*h**4)*(-5 - 1 + 2)*(3 - 8 + 2).\nAnswer: -85*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5289 + 10.4?\nAnswer: 5299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (-6)\/4*80\/120. Let m(b) = b**2 + 4*b - 4. Let a be m(-6). Let y(z) = -18*z**2 - 8. Let p(h) = -12*h**2 - 5. Give a*p(n) + s*y(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3595*a - 4 = -3593*a, 0 = -i - 4*a - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r = 11*r - 11784486. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*2029594.\nAnswer: 811837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43761621 divided by -14587207.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 1:38 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 122151480 rounded to the nearest 10000?\nAnswer: 122150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 37 = 5*y, -3*y = 4*w - 0*y - 31. Suppose -z - 20 = -2. What is the smallest common multiple of w and z\/(2*(-2)\/2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/15)*h)*h)\/(h**(-1\/3)*h))**(8\/11)\/(((((h\/(h*(h**(-1\/4)*h)\/h*h*h))\/h)\/h)\/(h**(-1)\/h))\/(h**(-1\/2)*h**(-1\/4))) assuming h is positive.\nAnswer: h**(63\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -13. Let w(b) = 2*b**2 - b + 6. Is w(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2339616 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3538082932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -26. What is the hundreds digit of (z\/(-16))\/7 + (-1497)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1042646008*n**3 - 1213494*n**2 + 117 wrt n.\nAnswer: -6255876048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Suppose 3*m = -3*p - 6, 0 = 4*m + 28 - 12. What is the third biggest value in p, -2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-30))\/(948\/144 + -7)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o. Let p be l(1). Let w be (-2)\/4 - p\/(-4). Let g = 15 + -15. Solve 3*f - 3 = w, g*n + 5*f - 1 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*(90\/8 + -9)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4524 and 100269?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 0)*(327474\/5460 - 60)\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a)**24\/(a**(-1)\/(a*a\/(a\/((a*a*a**0*a)\/a)))) assuming a is positive.\nAnswer: a**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 4. Let u(q) = q + 1. Let l(h) = -5*u(h) - w(h). Suppose -k + 2*k + 3 = 0, g = 4*k + 15. Let a be 1 + g\/(-6)*4. Determine l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125001169 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + 2*g**2)*(1235*g + 1100*g - 143*g).\nAnswer: 4384*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:54 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 16, 15, -6 in increasing order.\nAnswer: -6, 3, 4, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 91 = -121. Let p be (-1)\/(-4) + 98\/(-8). Let o = 21 + p. What is the greatest common factor of t and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93\/116 + -3\/58. Suppose 0 = 4*a - 0*a - 4*c - 8, 3*a - 2*c - 5 = 0. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c65 (base 13) to base 11.\nAnswer: 164a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 2*r**2 + 6*r**3 + 0*r**2 - 8*r**3. Let y be d(0). Suppose y = -3*c - 20 + 92. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - d**2 - 4*d**2)*(-27 + 17 + 13*d + 13)*(1 - 1 - 3*d).\nAnswer: 78*d**4 + 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1451808*l**4\/11 - 10932864*l**3\/11 + 30448688*l**2\/11 - 37148640*l\/11 + 16762050\/11 = 0. Calculate l.\nAnswer: 3\/2, 965\/426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -867 + 127. What is the highest common divisor of a and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/420*5*-14\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 541982 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 4. Let m be n(-6). Suppose -b - 3*f = 3*b - 4, m*f = 5*b - 28. Suppose 20 = v + b*d, 0*v + 2*v + 2*d - 16 = 0. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1517, 1956, 2395, 2834, 3273?\nAnswer: 3712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g + 3. Let l be y(-3). Let f = l - -37. Find the first derivative of 11 - f + 6 - 5*j**3 wrt j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/175 + 11 - 11\/1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -97. Let q(p) = -4*p**2 - p + 204. Let y be q(w). Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*1*sqrt(320) + -1 + sqrt(320) + 0) + -4)**2.\nAnswer: 184320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(4*c - 5*c + 4*c)*(470*c**4 + 388*c**4 - 1074*c**4).\nAnswer: 648*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10541397 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9314668559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 9 = -45. Solve u = 4*u + l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 f when three letters picked without replacement from fwffpffwwfyprywwrwqr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:55 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/247)\/((-4)\/26).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/30 - b**4\/24 - b**2. Suppose 2*c = -2*c - 8. Let o be q(c). Solve -2*i - 28 = 4*k, -4*i + k = 1 + o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**3\/2 - 13*v - 10. Let w(d) be the first derivative of m(d). Let p(l) = -2*l + 8. What is p(w(y))?\nAnswer: -6*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1741601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.8702 times -39\nAnswer: -111.9378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (20 + 8) - (-8 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 137. Let b = g + -44. Sort 2\/13, b, -39 in decreasing order.\nAnswer: 2\/13, b, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67775\/4 in -1\/8, -5, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -1\/12*k**4 + 3*k**2 + 0*k**3 + 0*k + 0. Let w(j) be the second derivative of 5*j**3\/6 + 38*j. Calculate w(f(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 1112625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -66 (c) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -l + 4, f - 4*f - 12 = 0. Let t = l + 5. Is t\/(3\/432) - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 2\/59 (c) 0.136 (d) -1\/2 (e) 0.1 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.46349379 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 13. Let r = 58 + -404\/7. Is r bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p - 2*l + 80, 4*p + 5*l - 116 = 0. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, n: 3, o: 2, h: 2, c: 3}. Give prob of picking 1 c and 1 n.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22\/18)\/(174\/(-1566))*(-890)\/2. Calculate the highest common divisor of m and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-113)\/2)\/(500\/200) - (-3)\/5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -21.\nAnswer: 40\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 6*k. Let p be d(-6). Let m(n) = -n + 2*n + p*n. Let a(u) = -2*u**2. Give a(m(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q*t**4 - 16*q*t**2 + 238*q*t + 21*t**4 + t wrt t?\nAnswer: -24*q*t**2 - 32*q + 252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6254 = -v, 3*q - 110*v + 112*v = 6248. Is 73 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/21 + 15604*x\/7 + 271782106\/21 = 0.\nAnswer: -12737, -10669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/15))**45*(o*o*o*o**(-22))\/o**(2\/57) assuming o is positive.\nAnswer: o**(-914\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + 2*g - 8*g + g**2 - 425*g**3 + 4*g - 2*g as t*g + u*g**3 + b*g**2 + n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 + y)*(-47*y + 13*y + 17*y - 90*y) to w*y**2 + x + t*y and give w.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 52. Let b = w - -22. What is the biggest value in 0.3, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from rrqsrruiiri.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*p**4 - 2035*p - 1 - 2*p**3 + 1 + 2032*p as s*p**2 + x*p + a*p**4 + n*p**3 + k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-14 + 10 - 11) + 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 35*r**2 + 22*r - 63. Let t be z(18). Let i be 42\/24 - 7\/(21\/t). Which is the nearest to 0.1? (a) -2 (b) -0.4 (c) 0.2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 172 + 0*w + 172.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g + o = -2, -2*g = o + 2. Suppose g = -3*q - q + 128. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17463097 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467830.\nAnswer: 2, 5, 11, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -305, -2207, -5387, -9851, -15605, -22655?\n\"Answer: -h**3 - 633*h**2 + 4*h + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(5*i**2 - 2*i**2 - 5*i**2) + 5*i**2 + 0*i**2 - 4*i**2 + i**2 - i**2 + i**2 - 9*i**2 - 3*i**2 + 9*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**4*b + 30878030*a**2*b**2 + 6979844*b**2 wrt a?\nAnswer: 4*a**3*b + 61756060*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000298 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 321 - 305. Suppose w = 2*j + 2*j, -2*z + 2*j = -1186. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8355 - 50*b + 48*b + 8379 in the form a*b + n and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 2*t + 3. Let l be x(-2). Suppose -4*p = -3*g + 19 + 15, 5*g + l*p - 105 = 0. What is the remainder when ((-212)\/6)\/(4\/(-6)) is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 2\/19 (c) 2\/3259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25113375 divided by -45?\nAnswer: -558075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/36)*r\/r**(-12) assuming r is positive.\nAnswer: r**(467\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.111 from -0.5.\nAnswer: -0.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/3 - 50042*j**3\/3 - 300302*j**2\/3 - 550582*j\/3 - 100108 = 0.\nAnswer: -3, -2, -1, 25027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 7*o**3 + 3*o**3 + (-1 - 1 + 3)*(-o**2 + o**2 + o**3).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 13*r**2 - 12*r + 5. Give y(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 623 = -2*t - 627, -4*t = -r - 6. Let h be 2 - 1*(2 + -2). Determine b so that 0 - 2\/3*b**3 - 4\/3*b + r*b**h = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5037*n**2 + 3*n + 5. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3538997?\nAnswer: 7, 11, 19, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60d (base 15) to base 3.\nAnswer: 1212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 2 (c) 1 (d) 5.65 (e) 1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v**2 + 187*v - 72. Let l(s) = -110*s**2 + 2058*s - 792. Let d(n) = -6*l(n) + 68*z(n). Factor d(g).\nAnswer: -4*(g - 18)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186380555?\nAnswer: 5, 557, 66923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1639029 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13 + 123\/18 + 6. Let y = 7.7 + -8. Let v = -0.2 + y. Put v, -5, r in decreasing order.\nAnswer: r, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 31 = 5*b, -15 = -u - 4*b. Let v = 15 - 3. What is the remainder when v is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(19) + 2 + sqrt(2736).\nAnswer: 2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6281501 divided by -36?\nAnswer: 6281501\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 589*h**2. Let n(f) = -f**2. Give t(n(j)).\nAnswer: 589*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.963642 * 0.3.\nAnswer: -3.5890926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = -2. Let b be 198\/48 + 1\/(-8). Let f be b\/(2 - 8\/3). Do f and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -234738495*a - 265190355 wrt a?\nAnswer: -234738495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 + 224*m**2 + 2*m + 85*m**2 as y*m + q + i*m**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41\/11616818 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 3\/4 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -11\/23?\nAnswer: -11\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -22 (c) 5 (d) -2528 (e) -1 (f) -2\/17 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 281 - 281.288. Let d = 0.112 - v. Let f = 1403\/10 + -140. Which is the closest to f? (a) d (b) -0.3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 9. Let z(w) = 4*w + 5. Let d(o) = 3*o + 4. What is u*d(b) - 5*z(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9467 is divided by 9168.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + 49 - (35 + -25 + 3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(-9*w - 9*w + 19*w) + 0 + 2*w + 0)*(-4*w + 3*w + 3*w)*(6 - 1 - 4).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 3*u - 6*u - u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + (6 - 4 - (9 + -52) - -3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1108, 5, 0.89, 0.1, -2 in descending order.\nAnswer: 1108, 5, 0.89, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 13*v - 46. Give i(14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 3*m - 11*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025062 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051516 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42362252\/42818843 - -3756833491182781241\/238286861295. Let k = g + -15766011. Let v = k + -2\/265. Which is the smallest value? (a) v (b) 4 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/17 - 110916*i**2\/17 + 3658114*i\/17 - 3547200\/17 = 0.\nAnswer: 1, 32, 55425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 6*w**2 + 5*w - 5. Suppose -8 = -4*b + 4. Suppose -b*n + a = -29, -8*a + 5*a = -3. Suppose l - 3*l = n. Calculate h(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 710 and 3834?\nAnswer: 19170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193 - -93. Let x = -100.000144 - i. What is x rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 12:50 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54624\/35847*(-7)\/1.\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h - 8. Let s be n(6). Let d = s + 2. Suppose 3 = -7*l + 8*l. Put d, l, -2 in increasing order.\nAnswer: -2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (254\/(-4))\/(2\/(-4)). Suppose 3*j + h = 2*l, 3*j - 245 = -4*l - 0*j. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/5)\/((-4)\/(-1050)*7)*(-58)\/290?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 8.62. Let w = -203731.380116 - -203732. Let q = v + w. What is q rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55b (base 14) to base 10.\nAnswer: -1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (6 + -4)) + (1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -280 + 281. Let h = 3.5 + -4. Let u = 0.2 + h. Which is the closest to -1\/2? (a) u (b) -2\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -397 - -2780\/7. Let r be (9\/(-15))\/((12\/(-15))\/1). Which is the fourth smallest value? (a) 4\/3 (b) 1 (c) j (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) -1 (d) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*y - 3*y + 3 = 0, 4 = 4*y. Let o(x) = 171*x - 1. Let s be o(g). Suppose -8*t = -3*t - s. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002443616 to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11 + 11 + (5 - -2) + -2. Solve l + 6 = -h*p, 0*p = -5*p + 3*l - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002884684 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164 - -162 - -1)*((-3)\/6 + 82\/(-28)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2025)\/(-50)*1*-2. Sort 3, -5, o in descending order.\nAnswer: 3, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -713014*m*t**2 - m*t + 18*m + 186*t + 27 wrt t.\nAnswer: -1426028*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -2)\/(3 + -6). Suppose 5*w - 5*o - 210 = j, o - 136 = -3*w - o. Calculate the least common multiple of w and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.008 in -0.67, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5476962941\/770 + -7112940. Let l = w - -12\/35. Find the common denominator of 3*(-34)\/8 + -3 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 = 4*x, -2*h + h = -2*x + 2. Let q(k) = 5*k**2 + 5*k + 3 - 3*k**2 - 3*k**h. Is q(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 0)**2*-5*2 + 5.\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 29 = 6*f. Solve q + 3*q = 0, f*q = r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.5843 and 0.088?\nAnswer: -0.9314184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -17.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/201 and 83\/2574.\nAnswer: 172458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 8. Let u(z) = 9*z - 12. Let s be u(6). Let y = s - a. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 0.5, 0.01, -5, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 13 = 43. Let s = 12 - v. Calculate the greatest common divisor of 4 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Let v(d) = -d + 2. Let g be v(2). Solve z*a = -g*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 950*r\/7 - 21648\/7.\nAnswer: -2*(r + 24)*(r + 451)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18438, -89, -5, -4 in increasing order.\nAnswer: -18438, -89, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 5\/(-2))*32\/(-2). Is (-6 - -5)*(-61352)\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*i**5 - 5288*i**4 + 241618*i**3 - 962496*i**2 + 1117384*i - 234080 = 0. Calculate i.\nAnswer: 4\/15, 2, 77, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*a**4 - 618 + 618 + (0*a + 5*a - 3*a)*(-a**3 - 4*a + 4*a) to the form g*a + x + k*a**4 + t*a**2 + c*a**3 and give k.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 169047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*w + 5*q - 7*q, 5*w + 2*q = 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13737*c**2 - 3059*c**2 + 97*c**2 as t*c + o + m*c**2 and give m.\nAnswer: -16699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3348 divided by -837.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*l + 59*l + 229023. List the prime factors of l.\nAnswer: 25447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2200? (a) 0.2 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.6 + 0.6. Let z = 0.06 + -0.06. Put z, h, 3 in decreasing order.\nAnswer: 3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 7, p: 2, q: 1, j: 8}. Give prob of picking 1 w and 1 p.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -20*d**2. Let r(b) = -16*b. Let z(j) = -5*j. Let m(s) = -2*r(s) + 5*z(s). Calculate t(m(c)).\nAnswer: -980*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6626 or -1489?\nAnswer: -1489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d + 23 = t, d = -5*t + 95. Suppose -81 = -5*o - 3*q - 28, 0 = 3*o + 4*q - 34. Calculate the remainder when t is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 16.1, 6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (60 - (2 + 12) - 9) + -16\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 243 - 227. Let c(g) = g + 95. What is the remainder when c(n) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 14999 - 14999.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/45*(-1)\/(-2). Let w = -0.132 - -0.232. Let k be 4\/14 - 345\/644. Which is the second biggest value? (a) k (b) j (c) w (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3058338 is divided by 429?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = 25. Suppose -66 + 21 = -s*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15977.\nAnswer: 13, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 0*u)*(-3 + 1 + 1) - 86 + 1026*u + 32 + 52.\nAnswer: 1027*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1520832 by 712.\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105116, -105094, -105060, -105008, -104932?\nAnswer: -104826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 184*a**2 + 13 - 200*a**2 + 79*a**2.\nAnswer: -305*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1087252\/368560*-1*4*1.\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 12*s**2 + 28*s - 10. Is i(-6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-3*(sqrt(84) + sqrt(84) + 1*sqrt(84) + sqrt(84)))\/(sqrt(12)*-1*3 - sqrt(12)) - (-2 + sqrt(7) + -2 + sqrt(28)\/(sqrt(28)\/sqrt(7)))))**2.\nAnswer: 12*sqrt(7) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -8087.\nAnswer: -10\/8087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 2 + 0 - 3. What is the tens digit of 11 + (0 - (-4 - d))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6878 divided by -41.\nAnswer: -6878\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -212, -576, -1586, -3566, -6840, -11732?\n\"Answer: -54*t**3 + t**2 + 11*t - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3846091489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 + 27*x**4 + 6*x**4)*(-6*x + 6*x + 12*x + (-3*x - x + 2*x)*(2 - 1 - 3)).\nAnswer: 592*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(18\/(-4)). Let b(y) = y**3 - 23*y**2 - 51*y + 23. Let c be b(25). What is the closest to 0.1 in c, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w - w + 5*w - 2*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13c5 + 379?\nAnswer: -1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 6*k - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*-6*52 - 61\/((-1342)\/(-88))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 252 = -11*t. Let c be (-2 - (-22)\/3) + (t - -23). Factor c*z**3 + 0 + 1\/3*z**2 - 2\/3*z.\nAnswer: z*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tttttttttttutttttttt?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 + -10?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7407 + 7407 + 3*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -949 (base 16) in base 7?\nAnswer: -6634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233 + -3729\/16. Is 0 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22430716 or 22430720?\nAnswer: 22430716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r**2 + 7*r - 2*r**2 - 5. What is p(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 460809809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*w - 12 = -3, 0 = -2*w - 6. Suppose -2*g + g - 3 = n. Sort -2, 1, g.\nAnswer: g, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1271 and 80126\/63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.4 - -6. Let i = u - -3.37. Let p = i - -0.0309. Round p to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/5)\/((-1)\/(-10)). Suppose z = 5*z + 32. Let b = 28 - z. What is the highest common divisor of b and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c966 (base 13) in base 5?\nAnswer: 33110033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u + 1215 + 1333 + 3*u.\nAnswer: -13*u + 2548","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5891 + 656 - 4267 = -9652*i + 29106 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((-30)\/(-80))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 4. Let b be f(-3). Suppose b = 3*c + 4. Let w be (3\/(-9))\/(c\/(-3)). Which is greater: -1\/4 or w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + u + 0*u)*(3*u**2 - 3*u**2 + 2*u**2) + (-4*u**2 + 0*u**2 + 2*u**2)*(-43*u - 656 + 8*u + 653) to the form m*u**2 + w*u**3 + t + b*u and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s*s*s**(-8)*s)**3*s**(-3\/2)*s**(4\/9)\/s*s*s**(-4)*s\/(s\/s**(2\/13))*s assuming s is positive.\nAnswer: s**(-211\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:05 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -24*d + 17*d**2 - 6 - 5 + 7*d. Let b be (1 + 0)\/(1\/11). Let t(a) = -6*a**2 + 6*a + 4. Let c(z) = b*t(z) + 4*y(z). Solve c(k) = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(847) + -1)**2 + 0.\nAnswer: 88*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3927*l**2 - 2073*l**2 - 2069*l**2.\nAnswer: -215*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/((-9)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -1752?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 257 (base 9) to base 7\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 - 39. Let a be (8\/(-6))\/(1\/(-3)). Suppose -s + 3*p = -3*s + 33, -a*s - p + 71 = 0. Calculate the greatest common divisor of s and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**5\/20 - w**4\/12 + w**3\/2 - w**2\/2 + 2*w + 2. Let d(s) be the first derivative of i(s). What is the units digit of d(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/3759 + 81440\/3759. Factor 80*x + z*x**2 + 5\/3*x**3 + 60.\nAnswer: 5*(x + 1)*(x + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k + 27. Let t be n(-7). Suppose t = f + 17*f. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/11)\/18 - (-2)\/(-11). Which is bigger: t or 1\/1794?\nAnswer: 1\/1794","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15*z - 234. Let d be a(-12). Let x be (d\/(-81))\/((-4)\/(-6)). Factor -4\/3*h + x + 1\/3*h**2.\nAnswer: (h - 3)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 4*g - g + 2*g - 5*g + 4*g - 4*g + 3*g + 0*g + g - 6*g + 3*g + (2 - 3 + 3)*(2*g + g - 2*g) - 2*g + 4*g + 0*g + g - 3*g + 0*g - 61 - 3*g + 61.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*g**4 + 125*g**3 + 2*g - 8254769 wrt g.\nAnswer: 192*g**3 + 375*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1316571476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -93130, -93142, -93156, -93172?\n\"Answer: -z**2 - 9*z - 93120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20221021112001 (base 3) to base 16.\nAnswer: 383f3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12852\/28)\/17)\/1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 659644 and 1484199?\nAnswer: 5936796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -5*j. Suppose -v = -j*i - 0*v + 38, -3*i + 46 = v. Suppose -2 = 3*y - i, 64 = 2*p - 2*y. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 4*m + 8, 0 = 3*s - 0*s + 2*m - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11832\/5 + 2366. What is the fourth biggest value in -1, -5, -0.285, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2\/7, 9\/20?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 2\/5, -354, -17.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.54 + 5.44. Let q = 6.95 + 0.05. Are m and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2. Let a(d) be the third derivative of -11*d**4\/24 + d**3\/6 + 50*d**2 + 9*d. Determine a(n(i)).\nAnswer: -22*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6984 - 6983. Let d = 151 - 143.3. Let g = 8 - d. Which is the biggest value? (a) 3 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1002? (a) -0.2 (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s - 6*s + 18*s = 594. Solve -s*q = 45*q - 336 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34592 or 1\/2?\nAnswer: 34592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(1\/2))\/h)**39\/(h\/h**(-1\/5)*h**(-1\/6)))\/((h*h**0\/h)\/h**(-10))**40 assuming h is positive.\nAnswer: h**(-6308\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n\/(n**(-1\/2)\/n)))*n)\/n)**(-27)*(n**(-15)*n*n)\/n**7 assuming n is positive.\nAnswer: n**(-229\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 5*y. Let u be h(-4). Let m = -1 - -2. Suppose 0 = 5*x + 2*a - 25, x - 5*a + 10 = 3*x. Solve 0 = x*o - m - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 12*n + 2. Let p = -23 + 35. Let x be l(p). Solve x*f = -4 + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9813260.\nAnswer: 2, 5, 490663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1283)\/(-1283) - 3*116\/6?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (256\/80)\/((12\/10)\/((-117)\/195)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*z**2 - 2*z + 30 wrt z?\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -215, -389, -571, -761, -959, -1165, -1379?\n\"Answer: -4*b**2 - 162*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2 + 2 + 12. Solve -4*u = -3*d + 1, 18*d - 3 = 5*u + r*d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4 + 51*u**3 + 126*u**2 - 12*u - 168 = 0.\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.3852673608 less than 0.1?\nAnswer: 53.4852673608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from ttyyvtctvcvytvyvvv?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:35 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 2*v + 18, -11*v + 10*v = p + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z + 28*z + 49*z - 127*z + 33*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.260801 from -2.\nAnswer: -2.260801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) -1 (c) 21\/16 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = -240. Let l = n + -87. Let m(v) = -v**3 - 8*v**2 - 8*v - 3. Let y be m(l). Solve 9 - 21 = -y*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.35 - -0.25. Sort p, 0.4, -3\/5 in decreasing order.\nAnswer: 0.4, p, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -5*l**4\/6 - 2*l + 4. Let d(h) = -2*h**2 - 6. What is o(d(p))?\nAnswer: -40*p**4 - 240*p**2 - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 2*s**6\/45 - s**5\/5 - 55*s. Solve p(j) = 0 for j.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118460 minus -18?\nAnswer: -118442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (13 - -2) + 3 + (-8 - -5) + -6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 11. Let m be v(4). Suppose 2*f + 247 = m*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6\/11 (b) -2\/1739 (c) -31 (d) 0 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 34 + 3890. Suppose 5*o - 1743 = k. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:24 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**5 - 20*o**3 + 10*o**2 + 15*o - 10 = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1700884.\nAnswer: 2, 17, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + 3*d + 4. Let q be y(3). Let s(a) = 3*a**2 - a - 4. Let k(j) = 33*j**2 - 62*j**2 - 2 + 30*j**2. Determine q*k(b) + 2*s(b).\nAnswer: b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -45*c + 812. Let v be i(18). Solve 14 - 30 = -v*t + 4*s, -20 = 5*t + 2*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642330758 to the power of 1\/3, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66333*-5.\nAnswer: -331665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*1*sqrt(252) - -2*(sqrt(252) + 0 + sqrt(252)) - (-1 + (-1*sqrt(252) - sqrt(252)))**2*-1).\nAnswer: 36*sqrt(7) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2720 and 280?\nAnswer: 19040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26180 and 73815700.\nAnswer: 811972700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.093, -5, -2\/5 in descending order.\nAnswer: 0.093, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45834.\nAnswer: 2, 3, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339414 + 339414 - 7*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 2 + 5 - (-3 + sqrt(363) + -4)**2)*4.\nAnswer: -1620 + 636*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 49 + -45 + -48\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 + p - 7. Let r(q) = -q**2 + 3*q + 23. What is the remainder when r(0) is divided by m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 7*w + 1. Let d be a(-6). Suppose -d*t - 10 + 52 = 0. Calculate the greatest common divisor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640479 minus -0.004108?\nAnswer: 1640479.004108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q - 24. Let v(w) = -3*w**2 + 8*w + 6. Let a(b) = -2*b**2 + 7*b + 5. Give q*a(l) + 5*v(l).\nAnswer: -3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.72 + 3.4. Let f = d - -1.5. Let w = -4.68 + f. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3820 and 5500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 - 151 - 15*z**2 + 151.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 230. Let c be u(0). Suppose -2*y - c = 3*y. Let l = 139 - y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 103\/5 + (-9)\/15. Let l = m - 20. Let v be (6 + l)\/((-6)\/8). Let a(q) = 2*q + 9. What is a(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20100 and 90.\nAnswer: 60300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 30*18\/30.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2316243 by 3.\nAnswer: -772081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -17. Let g(y) = y**3 - 3*y**2 + 5*y - 7. Let h be g(3). Suppose -13*o + h*o = 0. Solve c*f = -6*v + v + 40, o = -3*v - 5*f + 37 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.39 and 283.276.\nAnswer: 270.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41676923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -7b3?\nAnswer: -7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*d**2*i**6 + 23*d**2*i**4 - 2*d**2*i**2 - 12*d*i - 3*i**2 wrt i?\nAnswer: 2880*d**2*i**3 + 552*d**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0 + 6. Suppose t*x + 3 = 3*x. Suppose -6 = 3*s, -117 - 561 = -4*r - x*s. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 354*l**2 + 1 + 0 - 345*l**2 - 2*l to the form r*l**2 + i + q*l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3025?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 325*i + 839. Is m(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7238 divided by 1?\nAnswer: -7238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:09 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, p: 8, r: 3}. What is prob of picking 3 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/7 - 276*c**4\/7 + 1084*c**3\/7 - 1616*c**2\/7 + 1074*c\/7 - 268\/7 = 0. What is c?\nAnswer: 1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) -1.687182 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447*n*z**4 + 5*n*z**2 - 3296*n + 451*z**4 + 4*z**2 wrt z?\nAnswer: -10728*n*z + 10824*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/3187404 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108 - -110. Suppose 3*t + 5 = -l - 1, -t - l = 0. Put -0.5, t, f, 5 in ascending order.\nAnswer: t, -0.5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r - 25*r**2 + 0*r + 23*r**2 - r**3. Let a be u(-4). What is the greatest common factor of 8 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*d**3*r**2 - d**3*r - 31*d**3 + 3*d**2 + 25*d - 11855*r**3 - 305 wrt r.\nAnswer: 72*d**3*r - d**3 - 35565*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y + 3*y)*(128 + 32 + 28 - 26).\nAnswer: 162*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 13 (b) -5 (c) 4 (d) 1\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 2*f + 5*f)*(-40 + 40 + 5*f) + (f - 1 + 1)*(-5*f + 0 + 0) - 34*f**2 + 19*f**2 - 21*f**2 in the form j + r*f**2 + p*f and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001382 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3 less than or equal to -0.2179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1010101100111?\nAnswer: -1010101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 - 15 = 0. Let u = 45.47 - 45.17. What is the third smallest value in u, -3.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-3)*0)\/(-1). Suppose 0 = -5*p - 5 - y. Is p + (-1 - -99) - 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {l: 7, a: 4, g: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*c = 2*l - 32, 4*c = -2*l - 8. Suppose -23 = 2*j - 5*h, j + 3*h - 4 - 1 = 0. Let s = l + j. Put 4, s, 1 in ascending order.\nAnswer: s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 15, -2, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 4*q + 4. Let c be w(-10). What is the derivative of 2*x + 4*x - 19*x**3 - 3*x + c - 16*x**3 wrt x?\nAnswer: -105*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45830 + 276937\/6. Let d = 332 - y. Which is bigger: 7 or d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 49, 80, 109?\n\"Answer: -p**2 + 36*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 11*f + 4 + 3 + (-2*f + 4 - 4)*(-3 + 5 - 3) to t + j*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -9*c**4\/8 - 8*c**3\/3 - 10*c**2. Let k be h(-1). Solve 7*u - k*u - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 39, -972 in descending order.\nAnswer: 39, -1, -3, -972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25242 - 0.35242. Let m be (4 - 1)\/((-3)\/(-2)). Which is the nearest to m? (a) g (b) 2\/21 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101122012212 - -10?\nAnswer: 101122012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3027.\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75376834 and -0.05.\nAnswer: 3768841.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.94841 + 2.95. What is b rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 5*s**2 + 7*s + 2. Let b be g(-6). What is the closest to -2 in -2, -2\/19, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -425113030 divided by 5?\nAnswer: -85022606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*l - 129*l**2 + 69*l**3 + 244*l**2 - 118*l**2.\nAnswer: 69*l**3 - 3*l**2 + 57*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7203326 greater than or equal to 7203275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 99. Let l be a(0). Suppose -q = -5*m + l, -q - 25 = -4*m + 54. Suppose -35 - 69 = -s - 3*z, 4*z + m = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = 18*o - 30. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/17 + (-196)\/(-68). Solve 12 = x*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9316 bigger than 9281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 0*o**2 - 13 - 2\/3*o**3 + 0*o. Let w(p) = 416*p**2. Calculate k(w(n)).\nAnswer: -346112*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16926 + -6529. List the prime factors of y.\nAnswer: 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 0.03589.\nAnswer: -0.36411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(2548\/56)\/(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -574*i**2 + 32185*i - 2295. Determine g(56).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 940 = n + 4*f + 26, 0 = -2*f + 8. Is n a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83218?\nAnswer: 2, 41609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41693943, -41693940, -41693937, -41693934, -41693931?\nAnswer: -41693928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + n**4 + 188 + 2*n**4 + n**3 - 182 to x*n**3 + h*n**4 + b*n**2 + a + f*n and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 45 + 51)*(-15*z + 3 - 4 + 12*z).\nAnswer: -48*z - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - 0.1. Let b = 0.2 - -7.8. Let z = b - 4. What is the third biggest value in z, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b0 - -3?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2)*(-60)\/(-18). Suppose -k + 1 + n = 0. What is the highest common divisor of 121 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 75 + 68 = 0. Sort 0, q, -3\/2 in descending order.\nAnswer: 0, q, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8064ac7 - 1?\nAnswer: -8064ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42665 and 338.\nAnswer: -14420770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 312313 (base 5) in base 13?\nAnswer: 491b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.62 + -3?\nAnswer: 2.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -4*w + g, -w - 6*g - 4 = 22. Let r = -4228 + 33761\/8. Is r > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 9 = -5*n + 8*n, 0 = 3*y - 3. Solve -n*r - 26*r = -30 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 104*t**3 - 3*t**2 + 4*t - 2. What is the hundreds digit of o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1909*y + 566 wrt y?\nAnswer: -1909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (2 + -7 + 5 + 2)) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47529193?\nAnswer: 47529193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45d + 0?\nAnswer: -45d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**3 + 42*m**3 - 84*m**3 + 19*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -1651, -2, -3 in increasing order.\nAnswer: -1651, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = -2*a - 4, -4*o + a = -7. Suppose -9*r**4 + 11*r**4 + 0*r**4 - 2*r**o = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*s + 8 = 0, -5*i = -4*s - 0 - 19. Suppose -26 + 140 = i*w. Let h = w + 50. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 16*r + 22. Let u be c(15). Suppose u*d = 16 - 44. Let k(z) = z**3 + 4*z**2 + z + 1. What is k(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/((-2)\/(-4)). Suppose -4*p = -3*q, -p - l*p - 4*q + 28 = 0. Let h = 187 - 185. Solve -p = k + h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*y + 4*y - 93 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(3200) + 0) + 2)**2 + -4.\nAnswer: 320*sqrt(2) + 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5 + 13*z**2 - 12*z**2 + 0*z + 0*z. Let t(f) = -f**2 + 8. Let m(q) = 8*d(q) + 5*t(q). Let x(a) = 20*a**2. Give x(m(p)).\nAnswer: 180*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {d: 1, g: 3, y: 2, v: 1, k: 4, o: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 62b7?\nAnswer: -62b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 7*q - 7. Let d be p(-5). Suppose 0 = -4*v + d*y - 296, -v - 16 - 58 = 4*y. Round v to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**3\/6 + 4*j. Let s(z) = 2*z**2 + 12*z**2 - z**2. What is s(i(n))?\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 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: Let a(o) be the second derivative of -2*o**3\/3 - o**2\/2 + 13*o. Let t be a(-1). Suppose -t*r + 1007 = -1294. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 4:36 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (3 - -12)\/(-1 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 2*i - 2. Let f be c(2). Suppose v = 1, -2*o - f*v = -3*v - 51. Calculate the greatest common divisor of o and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 798*v + 995*v + 46618 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-18) + 4\/18. Solve 88 - 58 - 5*s - n*s**2 - 2*s**2 - s**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 8*z**2 + 12*z - 6. Let m be i(-5). Let v = 26 + -9. Suppose y - 4*p = -11, -5*p + m = -3*y - v. Which is smaller: -29\/4 or y?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (4*40\/(-96))\/(2\/(-12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3 (c) 9\/899\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(-7\/9))**10 assuming q is positive.\nAnswer: q**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629201330 a multiple of 2649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -0.01465?\nAnswer: -0.000293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8500 = 3*i + 199, 3*y + 6 = 0. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257\/18 > 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 7. Let x be n(-5). Let g(w) = -3*w + 1. Let r be g(x). Let p(s) = 2*s + 1. Let u be p(-1). Sort 6, r, u.\nAnswer: r, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 27584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-615)\/45)\/((-214)\/(-214))\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 38. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 3\/(-1) - 0. Let k(u) = 0 - 3*u + 0 + i. Let p(s) = 182*s - 89*s - 90*s. Calculate p(k(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/9 + 264*m**3 - 700886*m**2\/9 - 317072*m + 3552160\/9 = 0. What is m?\nAnswer: -5, 1, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 3:28 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(112) - ((sqrt(112) + 1)*5 - sqrt(112))) + (sqrt(112) + -1)*5 + sqrt(112))*-1)**2.\nAnswer: -8640*sqrt(7) + 39888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 2. Let i = 47 - 34. Let t = 7 - i. List the prime factors of c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(2 - 2 - 2) - 4 - 1 + 3)*(4 - 4 + 6*d)*(-2 - 2 + 3)*(-766*d - 267*d + 164*d).\nAnswer: -20856*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 113a82 (base 11) to base 5\nAnswer: 21242420","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 154*q - 3 + 26 - 11 - 6.\nAnswer: 154*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 2. Let c be r(-3). Let t(o) be the third derivative of -o**4\/8 + o**2 - 24. What is t(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27707224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 9 + 64 = 0. What is the units digit of a - (-3)\/(-6)*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 13*t + 4*t + 3 as h*t + k and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -18426.\nAnswer: 18426.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*g = -13, 4*g = -3*x + x - 26. Let o = 7 + -6.6. What is the second smallest value in o, x, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 10*g + 30. What is h(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-40)*-8 + 26. What is the highest common divisor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209821369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 37*p + 3951. Give w(-47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4)*2*-4)\/((sqrt(128) - -2*sqrt(128)) + (sqrt(40)\/sqrt(2))\/sqrt(10)).\nAnswer: -24*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13289170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:28 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 3}. Give prob of sequence xc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11417\/924 - (-1)\/(-3). Let u = -102\/11 + l. Find the common denominator of u and 5\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 476 by -24.\nAnswer: -119\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -9. Solve -5 = -c*l - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 292*k - 293*k. Suppose -3*w = -4*d + 2 + k, 0 = -3*d - 4*w + 21. Solve -2*v + d*v = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60897942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(20\/(-50) + 24027\/60055). Let k be (q\/20)\/((-102)\/(-15)). Let b = k + -2117. What is the common denominator of 0 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15)\/h**(1\/3)*(h\/(h*h**(-5)))**(-11\/4) assuming h is positive.\nAnswer: h**(-349\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20)\/(j\/(j*j**19)))\/(j**(2\/11)*j*j**(1\/16)\/j*j) assuming j is positive.\nAnswer: j**(-395\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165 - 59. Let v = -109 + k. What is the biggest value in v, -5\/2, 4, 4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -1*(sqrt(108) + sqrt(108)*-2 + sqrt(108)))\/(1*sqrt(150)).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3774 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a + 0*a + 10*a - 2*a. Let w(r) = 153*r. What is w(i(g))?\nAnswer: 306*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481270 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 83610, 166745, 249884, 333027, 416174?\n\"Answer: 2*b**2 + 83129*b + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-39)\/(h**(-3)\/(h*h\/(h**(1\/5)\/h)*h)) assuming h is positive.\nAnswer: h**(-161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**4 - 103620*m**3 + 4035924*m**2 - 21418236*m + 30728808 = 0.\nAnswer: 3, 33, 25866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2054991793 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 3:35 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -7. Let v(x) be the second derivative of -x**5\/20 + x**4\/3 + x**3 + x**2 + 10*x - 2. Determine v(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037688934 rounded to 4 dps?\nAnswer: 0.0377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -68a + -8?\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261 or 7058\/27?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - q**2 - q**2)*(17 + 7 - 10)*(-3*q - 2*q + 9*q).\nAnswer: -112*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0, 5, -0.097?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:06 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.8 - -11. Let c = j - 5. Suppose 5*w = -2*y - 12, 5*w - 3*y + 4 + 3 = 0. Which is greater: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-16) + 1781\/(-1644)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 1014. Suppose -464 + 30 = -31*k. What is the lowest common multiple of b and k?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14174 is divided by 1966.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10060 is divided by 143?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/9 + 884*k**3\/9 + 1168*k**2\/3.\nAnswer: 2*k**2*(k + 4)*(k + 438)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 88736 + 266194 - 88669 - 88789.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2537 divide 73763275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2961 + -2957. Calculate the least common multiple of r and ((-54)\/(-8))\/((-4)\/(-16)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 4, w: 1}. What is prob of sequence mmw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1300)*-3.\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5744*v = -5745*v + 3*k + 32, 0 = 15*k - 60 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -394, 85.\nAnswer: -394, 0, 6, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08652 + -0.71348. Which is smaller: -0.179 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 20*x - 28*x - 3 + 5*x**2 + 2*x**3. What is q(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 2293.\nAnswer: 2292.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135575496 and 1512?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -78*l + 51. Give q(2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 886 and 20443121.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l\/(l\/((((l\/((l\/((l**(-2\/7)*l)\/l)*l)\/l))\/l)\/l*l)\/l)))))**13*l**6\/(l**(2\/25)\/l) assuming l is positive.\nAnswer: l**(-6264\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 6*i - 42 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1477.6095139 - 1477.521. Let m = -0.6811551 - h. Let n = m + 0.77. What is n rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -4, 5, -83725?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7563.724 rounded to the nearest one hundred?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*o**3 + 46\/9*o - 8 + 8\/3*o**2.\nAnswer: 2*(o - 1)*(o + 4)*(o + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*((-1*(1 + sqrt(175)) + (sqrt(175) - (sqrt(175) + (sqrt(175) - -1*sqrt(175)) + -3)))*2 + -1))**2.\nAnswer: -12618 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174523072330 - -0.9.\nAnswer: -174523072329.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244059 is divided by 34316?\nAnswer: 3847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345687488 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 take away 87057347?\nAnswer: -87057273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 6, -14, -56, -126, -230, -374?\n\"Answer: -r**3 - 2*r**2 + 9*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:52 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -262 + 522 - 260 + 50*b in the form o*b + l and give o.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8127 is divided by 1987.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.78 - -1.78. What is the smallest value in 5, -194\/5, v?\nAnswer: -194\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and 5867.95903298.\nAnswer: 5860.95903298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2. Let k(d) = -21*d**2. Let l be -3 + ((-12)\/(-18) - (-10)\/3). Let y be 5 - l - (60 - 42). Calculate y*c(v) + 3*k(v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1254 - 1245. Solve 14 = p + t*l - 4*l, l - 2 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21668, 43326, 64984, 86642, 108300, 129958?\n\"Answer: 21658*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v**2 - 613*v + 2327. Determine i(4).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1\/(-4) + (-5)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 24. Calculate the highest common divisor of 841 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0 - 5. Let h = 2.99 - -0.01. Let i = h + 2. What is the third smallest value in s, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*y - 28 = 0, -5*z + 5*y = -8*z + 31 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 41994, -42, -50 in ascending order.\nAnswer: -50, -42, 41994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 3*a**2 + 21*a + 73 - 2*a**2.\nAnswer: -12*a**2 + 21*a + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624 divided by 7?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114604035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146109 is divided by 359?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874\/6 - (-12)\/(-18) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9471, 24489, 45059, 71181, 102855, 140081, 182859?\n\"Answer: 2776*w**2 + 6690*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 f, and 1 w when three letters picked without replacement from {f: 4, k: 9, w: 3}?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + -5 + (sqrt(128) - (sqrt(128) + 1))**2 + 1.\nAnswer: -3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -65*v**2\/4 + 125*v\/2 + 10 = 0. Calculate v.\nAnswer: -2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(3\/(-4)). Let y = -0.7 - -0.2. Let j = -6167 + 6166. What is the nearest to 1 in y, j, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oli when three letters picked without replacement from lielool?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 minus 310?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 33*s**3 - 3*s**2 - 3*s - 8. Determine v(2).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((-4 - -3) + 2 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*h = -19, 3*b = -3*h - 5 + 14. Suppose -2*s - 9 = -b*s. Suppose j = -4 + 7, -51 = -3*f - s*j. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54879, -54880, -54881, -54882?\nAnswer: -54883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4)**(-3) assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/20*10\/(-18)*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 5*b**2 - 6*b - 7. Let o be (-3 + 7\/2)*0. Suppose t + 1 + 4 = o. Let x be s(t). What is the highest common divisor of 207 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p**3 - 6*p**2 - 14*p - 22. List the prime factors of q(-6).\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19686322 and 4612?\nAnswer: 2306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.205 + 0.705. Which is the closest to 0.2? (a) -5 (b) f (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 116, 146, 176, 206, 236?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(605)*4*-3 + ((3*sqrt(40) + sqrt(40))*6)\/sqrt(8).\nAnswer: -108*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54181145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 2*x**2 + 2*x**2)*(3*x - x + 0*x)*(-2*x - 11 + 11)*(2 - 4 + 3).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2413320*x - 2413346*x + 4826666*x - 72*x**2.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -5*z - 5\/2*z**2 - 4. Let t(s) be the second derivative of s**3\/6 + s**2\/2 + 96*s. Calculate -2*q(p) - 11*t(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n - 5*q + 29, -21 = 2*n - 5*q. Suppose -2*t - n*t = 4*y - 12, -15 = -4*y - t. Suppose -9*f + 115 = -y*f. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-407 + 407 - 48*n)*(-3*n + 3*n + 4*n**2)*(-4 + 0 + 2) to the form i + p*n**2 + j*n + c*n**3 and give c.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: c1 (base 15) to base 5\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/24*3\/2*32. Calculate the highest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3\/3*4\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*3\/(-6) + -1. Let i(v) = -2*v**3 - 5*v**2 - 2*v + 3. Does 9 divide i(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 16 = -215. Suppose j*a - 6*a = 5508. Calculate the highest common factor of 153 and a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 1809\/49. Let s = q + 199\/1764. Let p = -4\/9 + s. Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*f = -116, 2*a - 51 = 2*f + 61. Suppose 7*h = -6*h + a. Find the second derivative of 12*y + 9*y**3 - h*y**3 + 8*y wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.6 - 2.6. Let o = 178 + -1956\/11. Which is the closest to w? (a) -2\/9 (b) -1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 10*d + 10. Let a be i(8). Suppose 3*s + 4*b = 24, -584*s + 32 = -583*s + 4*b. Sort 4, a, s, 5 in increasing order.\nAnswer: a, s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 2. Let p be c(-4). Suppose -p*r - 15 + 101 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3008 equal to -3008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 0 - 0\/3. Let m = -5 + x. Suppose 3*q + 17 = 2, 0 = 3*o - 4*q - 23. What is the lowest common multiple of m and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-16))\/g**(16\/7))\/((g\/(g**(-3\/5)\/g))\/(g\/g**2)) assuming g is positive.\nAnswer: g**(-696\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 20*v**2 - 22*v + 202. Determine x(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/5)\/p**(-3\/5) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1473548206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1789010167.\nAnswer: 7, 255572881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxjjxxxsffjxj. Give prob of sequence fxxj.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 522634631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001662 to five decimal places.\nAnswer: -0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/84 and 43\/18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 11, 2560, -4 in decreasing order.\nAnswer: 2560, 11, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Suppose 5*u = 10, -r*d - 2 + 4 = -u. Let n = -2 + d. Is -1 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uutu when four letters picked without replacement from {u: 6, o: 7, t: 6}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 249 - 16. Let d be (-9 - -1)*f\/(-10). Suppose s + 4*v = 65, 3*s + 4*v + 17 = d. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 357244, 357300, 357398, 357538, 357720, 357944?\n\"Answer: 21*j**2 - 7*j + 357230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + 1 + -3.\nAnswer: -2 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 978, 1494, 2024, 2562?\nAnswer: 3102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h + 0*h)*(-2 + 4 - 3) + 43*h - 23*h - 34*h + (7*h + 0*h - 4*h)*(-1 - 1 + 3).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -127*l + 132*l. Let q = l - 12. Solve 0*p + 2\/11*p**q - 2\/11*p**3 + 0 - 4\/11*p**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/(j**(-9\/7)\/j))\/j)**(-15))**(-18))**(-32\/3))**(-4\/17) assuming j is positive.\nAnswer: j**(184320\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(5\/((-305)\/(-3))). Suppose -5*n - 139 - d = 0. Let t = -22 - n. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -77 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 1. Let y(f) = 5*f + 10. Let u(p) = 4*c(p) + y(p). Determine u(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001111111 (base 2) in base 10?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n + 31*n = 16, 5*p - 4*n = 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9319.7556 to the nearest 100.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -16*u - 4. Let o(c) = -c + 19. Let j be o(19). Let n(d) = 0 + j - 1 - 4*d + d. Let m(f) = 11*n(f) - 2*x(f). What is m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 13, 27, 37, 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.9953 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -1364.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008983 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63553125 and 168750.\nAnswer: 9375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36277880 and 11370.\nAnswer: 3790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 2 - 6*y**2 + 2*y**2 + 5*y**2 + 7. Let j be 5\/2*(-4)\/(-5). Let c = 2 + j. Determine r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9144136 = -5*u, 753322 + 1075502 = u - j. Let c = u + -10949167\/6. Let m = c - 3958. Calculate the common denominator of m and -113\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 6*z + 5. Let g be d(-6). Factor -7*m + 2*m + g*m + 2*m**5 - 2*m**2 + 6*m**3 - 6*m**4.\nAnswer: 2*m**2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4 + 8256*n**3 - 3011274*n**2 + 291820320*n + 902785581 = 0 for n.\nAnswer: -3, 207, 2341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(27) + 0)*-2.\nAnswer: -6*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 614, 2410, 5404, 9596, 14986, 21574?\nAnswer: 29360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.417 + -1584?\nAnswer: -1584.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 6*v**2 + 12*v - 1. What is the units digit of t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -774, -1696, -2998, -4686, -6766, -9244?\nAnswer: -12126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*h = -3*h + 1269 + 139 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 627000 + 32093000 = -2*s, -3*s = 0. What is b rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 + 14) - -18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**2 + 87*u - 3*u**5 - 66*u - u**5 wrt u?\nAnswer: -80*u**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59832166 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -776 - -643. Let n = 55 - 119. Let u = n - j. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 96*g**2 + 24*g + 24. Let i(u) = 19*u**2 + 5*u + 5. Calculate -24*i(q) + 5*v(q).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 87*u - 84*u + 1 + 3. Determine o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.4187.\nAnswer: 0.08374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2293 in -7\/4, -7\/6, 1, -4, -3\/5, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59806?\nAnswer: 2, 17, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 279 + -268. Suppose -g*x + 1036 = -482. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1452 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 5:39 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.33\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*r**2*v**5 + 39*r**2*v**2 - r**2*v - 2*r*v**6 wrt v?\nAnswer: -5880*r**2*v**2 - 240*r*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -22*c + 5. Give f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 9. Let n be z(9). Let p(d) = -13*d**2 + 23 - 7*d + 35*d**2 - 16*d**2 - 7*d**2. Let l be p(-9). Solve 5*m - 4*o - l + 0 = n, o - 2 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7948042 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 less than -16073802?\nAnswer: -16073556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -e90 (base 15) to base 6\nAnswer: -23113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 367 + -543. Let g be (-1)\/2 - 120\/o. Let u = 226 - 226. Are u and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 91\/(-21))\/((-51)\/18 + 2). What is the second biggest value in u, 0.07, -1.8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/75*(1 - 1\/4). Let l = -9.005 + 0.005. Are k and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 2\/9 (c) -0.4 (d) -498 (e) 18 (f) -1 (g) 392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((1*sqrt(1216) + sqrt(1216))**2 - sqrt(1216)) + 0) - (((sqrt(209) - -2*sqrt(209))*-4)\/(sqrt(539)*2))**2.\nAnswer: -16*sqrt(19) + 475988\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5927.\nAnswer: 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w*w**(1\/4)*w*w)\/w)**(-1\/6)*w*w**(-2\/7)*w\/w**(-1\/10))**(-12) assuming w is positive.\nAnswer: w**(-929\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**7\/210 + t**5\/50 - t**3\/30 - 2*t. What is f in v(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 20. Let u = 1 + -0.8. Sort r, 2\/3, u.\nAnswer: r, u, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 916 - 955 + c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**6\/40 + 7*d**5\/60 - 5*d**4\/24 + 5*d**3\/6 - 110*d**2. Let n(m) = 3*m**2 + 1 - 1 + m**3 - 2*m + 2. What is 2*c(q) - 5*n(q)?\nAnswer: q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = z + 5*j, -275*z + 277*z + 3*j = 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3 + 6*v**2 - 8 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*j + 0 - 1\/5*j**2 = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 6. Let v(l) = 2*l - 4. Let t be v(6). Solve 2*r + p = 3*f - 3, 2*r + f = -t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -290 - -309. Let f = l - 19. Is -41\/11 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-29)\/i)\/i)\/i*i**(-11)\/i)\/(i**15*i)**(2\/17) assuming i is positive.\nAnswer: i**(-780\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -15*t + 29. Solve 3*p + 6 = -w - t*w, 0 = 2*p + 3*w + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-20))\/(2\/(-10)). Let n = -39 + 41. Suppose -n*d - 1 + 3 = 0. Sort t, d, 2 in descending order.\nAnswer: 2, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**7\/189 + 7*k**6\/135 - k**5\/5 + k**4\/27 + 17*k**3\/27 - k**2 + 325*k. Factor z(i).\nAnswer: 2*(i - 1)**3*(i + 1)*(i + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**6\/120 + 7*n**5\/120 + 11*n**3\/3 - 3. Let c(s) be the third derivative of o(s). Find the second derivative of c(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324 + -304 + (-1 - (2 - 4)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(306) + (sqrt(306) - sqrt(306)*3)*6)\/sqrt(9)*4)\/((sqrt(384) - (sqrt(384) - sqrt(384)*3))\/sqrt(12)*4))**2.\nAnswer: 2057\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 5*l**2 + l + 3. Let p be w(-5). Let z be p - (0 + -9) - 0. Let u(g) = 3 - 8*g + 4 - 4 - 9. Let r(c) = 9*c + 7. Calculate z*u(t) + 6*r(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(6\/88)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(125) - (-5 + sqrt(30)\/sqrt(6)).\nAnswer: 5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 14 + 170 - 156.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 424*o - 27180.\nAnswer: 4*(o - 151)*(o + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = -3*t. Suppose j + t*j + 42 = 0. Let z(v) = v**3 + 13*v**2 - 17*v - 6. Is z(j) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 952537 to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + d - 487 = 502, 5*g + d = -991. Let u = g - -388. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaee when four letters picked without replacement from aaeggggggggegg.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 9*j + w + 215, 4*w + 277 = -5*j. Let l be (-24)\/(-72) - (j\/3 - 1). Solve 5*k = l + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18403 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 22) + 0 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 31*t**3 - 11*t**2 - 41*t - 22. Let b(j) = -7*j**3 + 3*j**2 + 10*j + 5. Let y(h) = 9*b(h) + 2*v(h). What is y(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 31 = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 136ab18 + -5?\nAnswer: 136ab13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Suppose -4*n - 16 - 4 = 0, -n = 5*t + q. Let w be t + (-2 + 3)*0. Solve w = 5*s + 5*r + 10, 0*s = s - 5*r - 28 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h = -4*z + 28, -4*h + 2*z + 52 = 0. Let g be 4 - (4 + 0 - 4). Suppose 3*o = 2 + 10, 40 = g*c + o. Which is bigger: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 5:13 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 20*c + 0*c**3 - 108*c**2 - 32 + c**3 + 89*c**2. Let z be t(18). Solve 3 = -2*i - p, z*i + 0 - 9 = -5*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.36 + 1.32. What is the second smallest value in d, -2\/17, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 7*a**2 - 8*a - 6. Let t be i(5). Suppose 7 = -m + 2, t*m + 516 = 4*d. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*a - 91 - 258 - 197 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/((-1)\/2). Suppose -2*c - 2*b = 1526, -b - 2324 + 31 = 3*c. Let z = -758 - c. Sort l, 3, z.\nAnswer: l, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/((-48)\/448). Suppose -3*i = -w - 52. What is the remainder when 44 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 7*m + 3*m + 75 = 0, 0 = -r + 4*m + 9. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -27. Solve -f - b = -3*f + 2, -b + h = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1307, 5363, 12129, 21611, 33815, 48747, 66413?\n\"Answer: u**3 + 1349*u**2 + 2*u - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -223.\nAnswer: -223, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3 - 2508700*g**2 - 704*g + 764 wrt g.\nAnswer: -12*g - 5017400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) + (sqrt(1800) + -1)**2 + 4)*6.\nAnswer: -180*sqrt(2) + 10830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4\/3 (b) -188 (c) 0.4 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)*s)**(-13\/5) assuming s is positive.\nAnswer: s**(-104\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154457, 308933, 463399, 617855?\nAnswer: 772301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 22*z + 56. Let t be w(-20). Suppose 2*a + t = 2*f, 2*a - f + 2 + 11 = 0. What is the closest to 0 in 2\/13, 2, a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 2*r**2 + 3*r + 3. Let n be v(-2). Let w = n + 6. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.21 + -7.79. Let b = 11 + n. What is the nearest to 1 in b, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36138 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50681572*x**5 - 61603174*x?\nAnswer: -1013631440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34623*s**4 + 38921 wrt s.\nAnswer: -138492*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3850, -3762, -3676, -3592?\nAnswer: -3510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 223463? (a) 4 (b) -2\/11 (c) 1\/7 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9298100 and 35864100?\nAnswer: 251048700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*f - 1750*f - 40929 = 29631 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21435697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -207 and -82?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 9031.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-2\/47)))**(-35\/2)*(w\/(w**(-1\/33)\/w))\/(w\/(w**(-26)\/w)) assuming w is positive.\nAnswer: w**(-41434\/1551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601, 2415, 5433, 9655, 15081, 21711, 29545?\nAnswer: 38583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913 divided by 102?\nAnswer: 1913\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -19247.5 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 994 - 1006 = 0. What is the smallest common multiple of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/2)\/f**2)\/(f*f**(2\/5)*f)**27)**(1\/69) assuming f is positive.\nAnswer: f**(-653\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -19. Let x = -4 - a. Suppose x*v - 25 + 0 = 0. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 18 - 4*b**2 + 15 + 16*b - 7. Let a = -2766 + 2760. Let l(z) = 11*z**2 - 48*z - 76. Let q(c) = a*l(c) - 17*k(c). Factor q(h).\nAnswer: 2*(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2315, 2234, 2163, 2108, 2075, 2070, 2099, 2168?\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 452 and 4196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**8*f)*f**(13\/5))**(-1\/38))**(-8) assuming f is positive.\nAnswer: f**(-108\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/14918067 and -23\/3924.\nAnswer: 59672268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 257743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3200 + -2219. Let k be i\/630 + (-6)\/4. Let y = k + 31\/70. Which is the biggest value? (a) -1\/4 (b) y (c) -0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55718603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*-1*70\/(-15). Suppose -a - o = -4*a. What is the greatest common divisor of 154 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - 5)\/(6\/4). Let o(a) = b*a + 3*a - a - 6*a. Let l(h) = 13*h. Give o(l(d)).\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5 + 19. Let x = -4 - q. Suppose -2*p + 4*p - 17 = z, -x*z = 2*p - 8. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + (-5*(sqrt(475) + -3 + sqrt(475))**2 - sqrt(475)) + 3 - ((-6*(sqrt(228) + -2*sqrt(228) - sqrt(228)))\/sqrt(12) + 1).\nAnswer: -9543 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1950 - 1351*g + 1836 - 3786.\nAnswer: -1351*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/168)\/(1200\/(-2100)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3178941, 3178942, 3178943, 3178944?\nAnswer: 3178945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -25 + 13 + 79 + -100.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3927*w**2 + 3 + 3758*w**2 + 4446*w**2 + w.\nAnswer: 12131*w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002338 rounded to 5 decimal places?\nAnswer: 0.00234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 453 - 449. What is the nearest to -2 in 4\/3, -1\/8, 17, t?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j**3 + 2*j**2 - j. Let q be l(1). Let c(n) = -6 + 19*n + 6 - q*n. Let v(k) = 5*k. Calculate c(v(s)).\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136937.\nAnswer: 37, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -104834550 divided by 25?\nAnswer: -4193382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**8\/20160 - h**7\/1680 - h**5\/20 + h**2. Let z(g) be the third derivative of p(g). Find the second derivative of z(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j**3 + j - 30 + 30)*(-3*j**2 + 2*j**2 + 3*j**2).\nAnswer: 24*j**5 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -3*i**4\/2 + 35*i**3\/3 + 26. What is the third derivative of q(l) wrt l?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3120052.\nAnswer: 2, 13, 29, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5576\/(-476) - (-4)\/(-14). What is the units digit of q\/22 + 18848\/352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 2*b**2 + b + 49. Let p = -963 + 963. Determine d(p).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 83633883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 14. Suppose -a*m + m = -33. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*40*84\/(-336)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30779, 30669, 30537, 30377, 30183, 29949, 29669?\n\"Answer: -s**3 - 5*s**2 - 88*s + 30873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 577016979 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291 (base 10) to base 11.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71453*m**3 - 21*m - 1276297?\nAnswer: -214359*m**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) -3\/2 (c) 2 (d) -0.3 (e) 10 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -1 - (-88 - 0). Suppose -4*v + w = -5. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3 (c) 0.46 (d) -0.3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = 112. Let i(f) = -2 - 1 - 2*f + 3*f. Let q be i(7). What is the highest common divisor of q and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4 + 1, 4*m + 3*f - 15 = 0. Suppose 2 = y - m*y. Let l be y\/1*(-8)\/48. Which is the closest to 0? (a) l (b) 2\/15 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 2*w**2 + 6*w**2 + w**2. Let k(h) = -8*h**2 + 7*h**2 + 6*h**2. Give i(k(c)).\nAnswer: 75*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.272 minus 7315?\nAnswer: -7314.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -28, -777707.\nAnswer: -777707, -28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b. Let y(n) = 77*n**2. Determine y(z(h)).\nAnswer: 693*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-295)\/(-9) + (-52)\/(-234). Let k = 69 - i. What is the highest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6658 is divided by 203.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -304781576 divided by -17928328?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3720*k**2 + 44905*k\/3 + 5090.\nAnswer: 5*(8*k + 3)*(279*k + 1018)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1009*a + 18326 = 176*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 13*o**2 - 59*o + 157. Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -3, 3\/2, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 2*z. Let m be t(-2). Let f = m + 11. Suppose -f*l + 0*l + 5*b + 20 = 0, -l + 4 = -3*b. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(153) + sqrt(17) + 2)**2 + (sqrt(170) + -1*sqrt(170))\/sqrt(10)*-6.\nAnswer: -552 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 15*p + 40 = 0. Let n(g) = g**3 - 21*g**2 + 23*g - 2. Let f be n(p). Let u = 70 - f. Solve -m - 14 = -4*s - 3*m, u = -4*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 39*v + 43*v = 8, 0 = 4*i - 5*v + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 501 + 1a?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 4:17 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, 3, -1, -3 in ascending order.\nAnswer: -72, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose d = -i + 2*i. Solve r - 4 = -i*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113033144 (base 5) in base 16?\nAnswer: 25b489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 3}. What is prob of picking 1 m and 2 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.32 + 0.32. Let z be (-4)\/10 + (-32)\/(-105). What is the nearest to 1\/3 in z, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 8*s + 11. Let x be 9 - (-2 + (4 - 2)). What is a(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 110371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4.68, 110 in decreasing order.\nAnswer: 110, 4, -4.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 14*x + 16. Let d = -6 - -26. Let r = 8 - d. What is the tens digit of k(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 830357076*b*m**3 - 7*b - 7468157 wrt m.\nAnswer: 2491071228*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*q - 824, 2*r + r = -2*q - 619. Let z = r - -135. Let k = z - -154. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 5*r**2 + 5*r + 2. Let m(y) = -y**3 + 14*y**2 - 33*y + 4. Let t be m(11). Determine p(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29731, -118903, -267523, -475591, -743107, -1070071?\n\"Answer: -29724*p**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14136 - 3)\/1 - 1. Let j = t + 46868. Round j to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*a + 2. Let z be a - (4 - (-60)\/(-27)). Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 4. Let l be j(-4). Suppose 2*o = 2*y - 64, 3*y = -5*o - l*o - 120. List the prime factors of 10 - 9\/(o\/12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04182 (b) 2 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yygg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -275 - (-7 + 7*(4 + -3)) - 2. Which is greater: w or -278?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5\/60 - g**4\/6 - 19*g**3\/18 + 4*g**2 - 3042*g. Factor f(y).\nAnswer: (y - 8)*(y - 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 19 - 13 = -5*y, -y + t + 12 = 0. What is the smallest common multiple of y and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5515146.\nAnswer: 2, 3, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13530*c**3 - 40699*c**3 + 13566*c**3 + 13570*c**3.\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16875, 33731, 50585, 67437, 84287, 101135, 117981?\n\"Answer: -k**2 + 16859*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 9*m**2 - m - 5. Let k be u(9). Let c(s) = -s**3 - 14*s**2 - 11*s - 5. Is c(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088305 - 1088305 - 110*v.\nAnswer: -110*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 306121711 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 313788338 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 186685\/13 or 14361?\nAnswer: 14361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -204 + 11732. What is the greatest common divisor of c and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187831.\nAnswer: 7, 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 154, -24, 2, 1 in increasing order.\nAnswer: -24, 0, 1, 2, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -33. Suppose 1 = -4*a + f. Let w(t) be the first derivative of -t**3\/3 + 2*t**2 - 2*t - 2. What is w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 774*k + 147445. Determine t(-339).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - (62600\/(-100))\/((-4)\/142*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4540018473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12666 is divided by 385.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*6\/3*-145. What is the common denominator of 2\/7 - v\/112 and -109\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + z + 4 = 0, 2*i + 23 = 4*z - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 30. Let o = -10 + y. Suppose -7 = -g - h, 4*g - 22 = -o*h + 6. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18928 = -24*l - 28*l. Calculate the remainder when l is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110101 + -11102011?\nAnswer: -1331310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 - 7*q - 91. Calculate g(-7).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t + 2*i + i, -4*t - 5*i = -20. Suppose -q + 3*x = 2*q - 9, 0 = -4*x. Let o be 5 - (q + 0 + -1). Solve 5*j + p + 8 = t, 2*j + o*p + 6 = 4*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2\/7 - 1470*l - 1522875\/7 = 0.\nAnswer: -3275, -155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104100 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 5. Let n(k) = -25*k**2 - 153. What is -n(o) - 4*u(o)?\nAnswer: 13*o**2 + 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 643.265 >= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 41845*v + 251062. Give n(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 195*d**2 + 6*d - 16. Is g(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - 6*k**3 + k**3 - 2*k**3 - 2*k**2 + 2*k**2 + (-k + 2*k - 3*k)*(-2*k**2 - 2*k**2 + 5*k**2) + 0*k**3 - k**3 - k**3 - 426 + 82*k**3 + 426.\nAnswer: 74*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times -92345?\nAnswer: 11173745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 274 (b) -57 (c) 26 (d) 3\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -36 - (-2378 - -2371)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 14*r**2 - 80*r - 88.\nAnswer: 2*(r - 11)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 28*z**2 - 29*z - 13. Let t be u(15). Let w = -2.9 - -3. Sort w, t, -4 in increasing order.\nAnswer: -4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-1 + (11 - 2). Suppose a*u = 10*u - 8. Solve -r - 3*w - u = r, 5*r = 4*w - 33 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 352 - 0?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 19\/(-741)*(192 - -1)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 + 4752*c**2 + 1881792*c + 248396544 = 0. Calculate c.\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 - c**2 + 5*c + 11. Calculate r(-3).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-2)\/(-6)*(-4)\/2. Suppose v*y = -5*y + 119. Suppose 4*n - 38 - 30 = 0. Calculate the greatest common divisor of n and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/2))**(-5\/3)*s**9\/(s*s\/(s*s**(2\/27)*s)))\/(s**(-8)\/s*s*s**(1\/4)*(s**1)**50) assuming s is positive.\nAnswer: s**(-3853\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30947, -61870, -92793, -123716, -154639, -185562?\n\"Answer: -30923*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3759358 and 358?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) -1 (c) 1015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Suppose -4*j = q*l + 10, -4*j - 20 = -5*l - 3. Let a be (8\/(-16))\/((-1)\/4). Solve -w + l + a = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -659 by 659.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92254, -184749, -277248, -369757, -462282?\nAnswer: -554829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11 + 6 + 5 + 2*b**2. Let x(a) = -3*a - 3. Give i(x(m)).\nAnswer: 18*m**2 + 36*m + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 4305698*m - 43057180.\nAnswer: 2*(m - 10)*(m + 2152859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (14 - (5 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*f + f - 21, 2*f = 2. Calculate the remainder when 11 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 60 = -3*j. What is the remainder when 19 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/183*(-6)\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 2098*u**7\/105 + 227*u**4\/4 + u**3\/6 - 4*u**2 - 753. Find the second derivative of d(o) wrt o.\nAnswer: 50352*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 1. Suppose 3*c = 2*t - 12, 0 = -2*c - 2*t - 1 - 7. Calculate r(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12263 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 80, -13, 15 in descending order.\nAnswer: 80, 15, -13, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**4 - 35364*c**3 + 743820*c**2 - 5209484*c + 12158664 = 0.\nAnswer: -8862, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -883\/2, 117.9, -2, 2\/15 in increasing order.\nAnswer: -883\/2, -2, 2\/15, 117.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2968 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 782\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - 5*o**2 + 12*o - 3. Suppose -3*y - 10 = -19. Suppose -4*m - y = 3*v - 38, 0 = 2*m - v - 5. Is s(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45888, 91773, 137656, 183537, 229416, 275293?\nAnswer: 321168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4644, 4609, 4544, 4443, 4300?\nAnswer: 4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43883, 178923, 403999, 719117, 1124283?\n\"Answer: m**3 + 45012*m**2 - 3*m - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccv when three letters picked without replacement from {i: 2, v: 3, c: 7}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117439022?\nAnswer: 2, 1619, 36269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.262248946 and 1.83.\nAnswer: 2.092248946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1668 = -152*s + 2732 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*o + 11 = -2*o, 0 = 4*a - 5*o - 32. Suppose -a*g + 10 = 4. Solve -i - i = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8604656*s - 38874782 wrt s.\nAnswer: -8604656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Let k(q) = q. Let p(c) = -3*a(c) - 8*k(c). Let x = -147769 + 147778. Let i(h) = 3*h + h + 0*h. Calculate x*p(w) + 4*i(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 159*r**2 - 5544*r - 63504.\nAnswer: -(r - 84)**2*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*o + 14 - 0, 2*w + 6 = 2*o. Suppose -59*h = -60*h. What is the smallest value in h, -6, -0.2, o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(0 + sqrt(45)) - sqrt(45))**2 + (sqrt(5445) + (sqrt(5445) - ((sqrt(5445) - (sqrt(5445) + 1)) + sqrt(5445)) - sqrt(5445))**2)*2.\nAnswer: -66*sqrt(5) + 14492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-119)\/1485 + (-364)\/(-4914). Which is the fourth biggest value? (a) 2\/19 (b) y (c) 2\/5 (d) 0.3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e618d2 (base 16) in base 14?\nAnswer: 20076ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4351 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -889133 * 13.\nAnswer: -11558729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 3:52 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 2, 5\/6, -0.5, -0.4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let t(q) = -2*q**2 - 54*q - 10802. What is t(z(n))?\nAnswer: -8*n**2 + 108*n - 10802","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 4*t, -7*k - 23 = -74*t + 79*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 33*x + 91. Give f(30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzpppzlpzplppz. What is prob of sequence llp?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*w - 22, 3*a - 6*w = -2*w + 10. Suppose -a*n + n = 0. Factor i**2 + 1\/2*i**3 + n + 1\/2*i.\nAnswer: i*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 3*a - 1. Let r(f) = f**2 + f + 1. Let l be -1 - ((-5 - -6 - 3) + 206). Let t = l - -207. Give t*p(q) + 4*r(q).\nAnswer: 2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 891587 to the power of 1\/2, to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/11 + 99274*j\/11 + 2762424 = 0.\nAnswer: -49329, -308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -3*h + 8*h. Calculate the highest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2 + 279*o + 317. Determine f(-24).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003632 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1932*n**2. Let y(p) = -p. What is y(d(r))?\nAnswer: -1932*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 0. Let c be ((-9)\/i)\/(0 - 1). Put c, -2\/3, 4 in descending order.\nAnswer: 4, c, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c + 209. List the prime factors of u(0).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08136 + -0.0820007. What is q rounded to 5 decimal places?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyn when three letters picked without replacement from {y: 1, j: 9, n: 2, d: 7}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21472900 divided by -14\nAnswer: 10736450\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349383 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 2*v + 1. Let a be r(1). Let p be 1\/a - (0 - 0). Let o = 3 - 4. Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**6\/72 - 7*g**4\/24 + 4*g**3\/3 - 6*g. Let y(s) be the second derivative of v(s). What is the derivative of y(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 1675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 20*j**2 - 2*j + 45. Let b be a(20). Let i(r) be the second derivative of 1\/20*r**b - 7\/6*r**3 - 1\/3*r**4 + 0 + 3\/2*r**2 - 6*r. Determine i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0*o**5 + 125\/6*o**3 - 96*o**2 + 0 + 79\/60*o**6 + 0*o + 0*o**4. What is the derivative of a(p) wrt p?\nAnswer: 474*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) 2\/13 (c) -3\/4 (d) -3\/536\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 89 + 11. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -375589 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13035295 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t - 8. Let d be 4\/12 + 4*(-5)\/(-12). Suppose d*q = 5*h - 16, 2*q + 3*h + 2*h = 4. What is c(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.9 (b) 11533 (c) 47 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a second in milliseconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 954271.8 decades to years.\nAnswer: 9542718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Which is the nearest to -2\/5? (a) 0.2 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.1 + -1.9. Is y > -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + u = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -28. What is the remainder when v is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 6*w**4 + w**3 - w**4 - w**2 + w to the form r*w**4 + h*w**3 + k*w + u + x*w**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 (base 11) in base 8?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, -1.7, -39?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23499863.\nAnswer: 2543, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 22*u**2 - u - 15. Let y be b(-11). Let r(k) = -k**3 - 3*k**2 + 3*k + 2. What is r(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:46 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*i - 5 - 25, -i - 17 = 4*u. Suppose 2*j - 5*t = 20, 8 = j - 0*t - 3*t. Suppose 10*y = 5*y + j. Sort -4, u, y.\nAnswer: u, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 0 - ((-12 + 11 - -21) + -27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -8c?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 17. Let o = -3 + 7. Suppose -4*v + o*n + 3 = -v, n + y = 4*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 540*z - 5600.\nAnswer: 2*(z - 280)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*b + 16, 5*j + 3*b - 8*b = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:54 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 692*l**2 + 2800*l.\nAnswer: -2*l*(l - 350)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1922 + w - 1928 - 27*w + (-2 + 1 - 1)*(-3*w + 3*w + w) - 4 + 4 - 4*w - 2*w - w + 2*w as k*w + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -245 times 0.2\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*c**2*r**3 + 808*c**2*r**2 + 3*c**2 + 10*c*r**3 + 3*c*r**2 + 69*r**3 wrt r.\nAnswer: 696*c**2 + 60*c + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:29 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from odvpkppddvoodxpvp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112993 is divided by 242.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 254152 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 364, 353, 340, 325, 308?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*b = -820, -310 = 60*n - 62*n + b. Which is smaller: 159 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131706.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 6*q**2 + 3*q + 4. Let u be o(-4). Suppose 0 = h + 2*h - u. Let g = -35 + h. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 7*b**2 + 0 - 7\/20*b**5 + 0*b - 13\/6*b**3 + 1\/3*b**4. Let r be x(4). Round r to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 359?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 2 - 1\/3*y**3 - 9\/2*y**2 + 5*y. Let a be p(-9). Solve 5*o = s + 3 + 5, 0 = 4*o - a*s + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*c - 5324 = 8786 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3\/7 (c) 57\/10 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011120012012 + 1021?\nAnswer: -1011120010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2365*i + 1223*i + 1140*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3143, 12633, 28461, 50615, 79083, 113853, 154913?\n\"Answer: -2*n**3 + 3181*n**2 - 39*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 - (122 - 113)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13339248 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from mtmtttttmttt.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 + 3*l + 22. Suppose 5*j + 30 = -4*a, -5*a + 1042*j - 1045*j - 31 = 0. What is x(a)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.765 + 2.765. What is the second smallest value in -1\/5, 4\/3, -2, a, 3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 - -2.38. Let r be (6\/8)\/((-4)\/(-112)). Suppose 0 = y + 3*a - 4, 3*y + a - 3*a + r = 0. What is the closest to -0.1 in 3, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 328 = -2*t, -3*t + 0*t + 12 = 0. Let z = j - -590\/7. Do 1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-7)*t*t))**(-14) assuming t is positive.\nAnswer: t**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713 - 180 - 22*h**2 - 180 - 172 - 181.\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343150 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - z - 10 = -s, 5*s = z + 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 29*c**2 - 31*c - 797. Is 49 a factor of r(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2923673*n - 1154028 wrt n.\nAnswer: 2923673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*z**3 + 93*z**3 - 4*z + 43*z - 288*z**3 + 104*z**3 in the form v*z**3 + m + l*z + c*z**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10699, 10661, 10623, 10585, 10547, 10509?\n\"Answer: -38*o + 10737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q + 11 - 18 - 58*q + 31*q - 70.\nAnswer: 3*q - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(130) + (sqrt(130) - 5*(sqrt(130) + sqrt(130) + sqrt(130)*-2 - sqrt(130))) - sqrt(130))\/(sqrt(490)*1))**2.\nAnswer: 16848\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -10*n + 4*n. Let u = n - -29. Which is bigger: u or -13\/2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -36 + 10 - (-20 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = 33*z + 289 + 23. Let j = 3\/88 - 191\/440. Which is the smallest value? (a) 3\/7 (b) z (c) j (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4112*f - 8225*f + 4113*f + 2518*f**2 + (-4*f + 0*f + 5*f)*(-2*f + 2*f - f).\nAnswer: 2517*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 135489852983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 - -234 - (4 + -7 - (-14 - 0))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 65*x - 68*x + 7 = 0, 246*s = -3*x - 477 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -132107*u**3 - 80*u**2 + 337*u - 20. Let p be v(4). What is p rounded to the nearest one hundred thousand?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m - 5*o + 25 = 41*m, 3*m + 7*o - 13 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6*2\/(-6))\/((-16)\/(-598)). Let t = 25156855\/32 + -786227. Let s = t + i. What is the common denominator of -117\/20 and s?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2 + 35\/15). What is the second smallest value in r, 2, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 25 = -5*l + 5*r, l = 2*r + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.16, -7, 5, -2, -75, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005 + 8204.\nAnswer: 8203.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(288) + (-2*sqrt(288))**2 + -4.\nAnswer: 12*sqrt(2) + 1151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/3 - 15*l**2\/2 + l - 455. Determine r(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 855, 3835, 8919, 16107, 25399, 36795?\n\"Answer: 1052*n**2 - 176*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19886 divided by 3361\nAnswer: 19886\/3361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06898917096 - 0.06899. What is q rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 483 + -69. Calculate the remainder when f is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 13*c**3 - 3*c**2 + c - 4. Let p be q(3). Let b = p + -129. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u - 66 = -3*a, 0 = 5*a + 5*u - 70. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4 - 12. Let m(u) = -6*u - 20. Let z be m(-4). Which is the second biggest value? (a) t (b) z (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u + 5*u)*(2 - 3 - 4)*(-5*u + 2*u + 2*u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 35*n**2 + 73*n - 33. Determine f(-37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 4*w + 2. Suppose 1 = -4*c - 23. Let d be n(c). Let r = 2478565 - 2478327. Calculate the greatest common divisor of d and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-151 + 53 - (1 + 0 - 22)) + -14?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 876289502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2497483, -2497482, -2497481, -2497480, -2497479?\n\"Answer: a - 2497484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.535144 millennia?\nAnswer: 6535.144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -108400 and -2?\nAnswer: 216800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p = 0. Suppose p = -a - 9 + 26. What is the remainder when a is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4*2)\/(-2) + 64\/(-32). Let y(k) = k**2 - k + 2. Let j be y(m). List the prime factors of 130\/j - (-9)\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - l - 22068 = 0, -2*g - 94*l = -92*l - 44136. What is the remainder when g is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**3\/3 + 39*s**2\/2 + 181*s - 4111. Calculate q(-34).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 32 = 4*y, 1519*y + 38 = 4*c + 1522*y for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -38.4\nAnswer: 115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 85*v. Let y(x) = -19*x + 859. What is y(i(u))?\nAnswer: -1615*u + 859","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 + 14*q**2 + q - 35 - 3*q**2 + 12*q**2.\nAnswer: 23*q**2 + q + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1135396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150163?\nAnswer: 3, 41, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let v be 3 + (-4)\/(8\/2). Let s(u) = 4 + 8*u + v - 6. Calculate b(s(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:00 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 4998554108 = -7564395329. Suppose 744294847 + d = 25*g. Round g to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 7*c - 6. Let h = 19 - 11. Let s be i(h). Does 3 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/6 - 34\/10. Let k = -0.65 + 0.6. Let p = 70 + -69.8. Which is the nearest to l? (a) p (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -4, -665, 5 in ascending order.\nAnswer: -665, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/2)\/u)\/(u\/(u**0*u)*u)*(u**(2\/3))**(-19))\/((u**3\/u*u*u**(-4\/3))\/(u**(-1\/2)\/u)**(-10)) assuming u is positive.\nAnswer: u**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 44, -5, -2\/45, -0.01?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54819 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - d. Let g be k(-1). Let x(b) = -3*b**2 + 2. Let j(r) = r**2 - 1. Let i(f) = g*x(f) - 2*j(f). Let u(l) = l. Calculate u(i(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380514.\nAnswer: 2, 107, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 - 0.92. What is the second biggest value in r, 1, 1.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*a - 54, -2*o = -2*a + 28 + 8. What is the least common multiple of 12 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-2 + (2 - 0)). Let j = -6823 - -6827. Let -j*l**5 + u*l - 90*l**4 + 4*l**2 - 4*l + 102*l**4 - 12*l**3 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -19, -2, -4 in descending order.\nAnswer: -2, -4, -19, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1699.00002098 + 1699. Round f to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1116004 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*sqrt(175) + sqrt(175))*-6 + (2*(sqrt(175) + -1) + sqrt(175))*6)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.83650194034 + -171378.13648794034. Let c = d + 171378. Let z = c + -1.7. What is z rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - 15*l + 4. Let d be (3 + 2 + (-3 - -2))\/(-1). Let i = 7251 - 7256. Let m(n) = -7*n**2 + 16*n - 5. Determine d*m(p) + i*h(p).\nAnswer: -2*p**2 + 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0 + 0*d + 129*d**2 + 1\/6*d**4 + 7\/10*d**3 - 1\/300*d**5. Suppose g(v) = 0. Calculate v.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40617824629.030001631 - 40617828369.03. Let m = -3740 - w. Round m to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + 0*g)*(7 - 8*g**3 + 16 - 21).\nAnswer: -8*g**4 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2148, -2026, -1834, -1536, -1096, -478, 354, 1436?\n\"Answer: 6*v**3 - v**2 + 83*v - 2236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241110, -241141, -241172, -241203?\nAnswer: -241234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -461 + 461.0000728. Round l to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:43 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.048, -0.3, -3, 1, 3 in decreasing order.\nAnswer: 3, 1, -0.048, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*j + 16, 4*p + 2*j - 14 = 12. Let h be -9 + p - (-3 + 1). Let s(d) = 2 + 1 - 4*d**2 - d**2 + 3*d**h - 3*d. Determine s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 - 1932*a**2\/5 - 622104*a\/5 - 66772496\/5.\nAnswer: -2*(a + 322)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 265?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -34*w**3. Let n be a(-1). Suppose 96 = 6*k - 4*k. Let q = k - n. Solve q = -4*j + 34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*b**3 + 2)*(-36*b**2 + 11*b**2 - 4*b**2 + (-3*b**2 + 5*b**2 - b**2)*(0 + 4 - 5)).\nAnswer: 120*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/168 and -67\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 1 = -2*d. Let u = d - -54. Suppose -227 + u = -3*n. Calculate the highest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*o - o. Suppose -7 = -2*l + z + 8, -l = -o*z - 21. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18180*z**2 - 4761909645 + 13663710285 - 12938452*z - z**3 - 9095708*z - 4*z**3.\nAnswer: -5*(z - 1212)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 34\/7, -74, -11, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 6*u + 22078. Is (u - 3) + 5 + -8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -3 - (-31 + 31).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 22. Let v(f) = 19*f - 17. Let y(h) = -9*h + 8. Let z(a) = o*y(a) - 6*v(a). Find the first derivative of z(u) wrt u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.264*-986.\nAnswer: -260.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -241 - -244. Let j be 315\/14*14\/x. Calculate the greatest common divisor of 42 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207 and 627716?\nAnswer: 5649444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -119? (a) 2\/21 (b) -2 (c) 0.1 (d) -9 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 92222800 to the nearest 10000.\nAnswer: 92220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -101. What is f rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h**3*j**3 - 2*h**3*j + 22*h**2*j**3 + 2*h**2*j**2 + 2*h**2 + 105*j**3 - 2601 wrt j.\nAnswer: 30*h**3 + 132*h**2 + 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-350)\/(-6) - (-14)\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 - 5*k**2 + 8*k - 12. Let o(f) = f**3 + f - 1. Let v(m) = g(m) - 5*o(m). Calculate v(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15 and 0.2746.\nAnswer: -14.7254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 150774.318 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = l - 6. Let q be l + 3 + 7 + -3. Suppose 3*b + 3 = p, q = -5*p - 3*b - 0 - 3. Sort -4, p, 5.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -36*w + 178. Let k be t(5). Let i be (3 + 1*-2)*-2. What are the prime factors of (-293)\/k - (-1)\/i?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12546 - -476765\/38. Calculate the common denominator of v and 1\/(1 + 194\/(-174)).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000045 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(5 - (-3)\/(-3)). Let q be (3 - (z + -4)) + -2. Is q != 1\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + (-256)\/18)*(-4)\/14.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 6*b - 1. Let i be k(5). Suppose -i*q + 34 = -22. Let n be (q - 2)\/2 - 2. Solve -n*u + 0*u + t = -6, 2*u + t - 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/(3 + 0 + 2\/(-1)). Suppose 3*x + z = -3*q - 17, -4*x = 2*q + 34. Let s(n) = -2*n. Let o(v) = -v. What is q*o(f) + 4*s(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32 plus 18097.5?\nAnswer: 18098.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -1.9481\nAnswer: -2.4481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15634 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -954180 divided by -108.\nAnswer: 8835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13333002 + 3?\nAnswer: -13332444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from fvvfaws?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 378712?\nAnswer: -378708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*sqrt(171))*2*-5.\nAnswer: 40 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6*f + 33 = 33*n - f, -n + n - 4*n - 154 = -14*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28382207 and 83559.\nAnswer: 85146621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 11*n**2 + 14*n + 14. Give w(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3834621 and 9.6754?\nAnswer: 3834630.6754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.84991 millennia to months.\nAnswer: 442198.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*m - 375927 + 8057914 = -1932191. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*a**3)*(-1 + 3 + 4)*(-3 - 1 + 2).\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -z - 2*z. Let w be 28386\/(-105) - 2\/z. Let c = 278 + w. What is the common denominator of 37\/10 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/5 - -44\/15. Let i = -10.12 + 10. Let r = i - -0.32. What is the nearest to q in -3\/2, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 107 = 104 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*t**2 - 6*a**2*t - 2*a**2 - 3*a*d*t - a*t**2*z - 11*a*z + 154*d*t**2*z wrt t.\nAnswer: 4*a**2 - 2*a*z + 308*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598 divided by -299.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 125*d - 500.\nAnswer: -5*(d + 5)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 361141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 1257 - 626 - 626 to j + u*f and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 - -0.17. Let v = 1.74777 - -0.25223. Sort u, -71, -0.2, v in increasing order.\nAnswer: -71, -0.2, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1418 + 0?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-38)\/14)*(-637)\/(-91). Let p(y) = -7*y**2 + 5. Let z(s) = -4*s**2 - s + 2. Let g(b) = n*z(b) - 3*p(b). Determine g(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 49. Suppose n*c - 2204 + 669 = 0. Let g = c + -181. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32114204 (base 5) to base 8\nAnswer: -1017151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 - c**2 + 0*c**2)*(0 - 1 + 0)*(2 - 9 - 4) as d*c + h + r*c**2 and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89750 - -89750. Suppose w + 1\/5*z - 1\/5*z**2 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004224 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9*q - 72 = 0. Put -2, q, -1 in increasing order.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 34746?\nAnswer: -34744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.04703547.\nAnswer: 0.009407094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-20) + 2 + (-18)\/12. Let z(i) be the second derivative of 0*i**2 - 1\/2*i**4 + 1\/6*i**3 + r + 4*i. What is the second derivative of z(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.503, -3, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 71*w**2 - 1222*w + 16. Let a be f(-42). Solve 225*x = a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3536295.\nAnswer: 3, 5, 7, 33679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3)*(-4 - -5). Let c be 9\/1*((-56)\/f)\/(-4). Is c bigger than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 8*g**2 + 8*g + 10. Calculate t(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 3*i)*((-1 - 1 + 3)*(2 + 0 + 0) - 4 + 2 - 1) to the form v + o*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2168\/(-35) + (-1204)\/21070)*2\/2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 132 (b) 0.1 (c) 1\/3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6729)\/6)\/(2\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4872 and 66.\nAnswer: 53592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - 39*r + 112. Let g be s(10). Let k(a) = 4*a - 2. Let x(j) = 20*j - 11. Calculate g*k(m) - 4*x(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 2 (b) -11\/4 (c) 10 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*b = -62*b - 252. Let j = 85 - b. What is the highest common divisor of 19 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**1*x)\/(((x**(-14)*x)\/x)\/x*x) assuming x is positive.\nAnswer: x**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a + 9. Let l(t) = -t - 3. Let z(g) = -17*l(g) - 6*y(g). Let b = 938 - 942. Let i(o) = -20*o - 8. Give b*i(u) + 11*z(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 11:15 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (6 + 0)) + (4 + -2 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 2*h**2 + h + 4 + 0. What is the least common multiple of m(-3) and (4\/(-10))\/(17\/(-680))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3*s**2 - p**3*s - 26*p**2*s**3 + p - 2245*s**3 wrt p?\nAnswer: -12*p*s**2 - 6*p*s - 52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54021)\/4147 + 7 + 6. Is 0 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8533\/3 + 2744. Let j = 99 + o. Which is the fourth biggest value? (a) 3\/10 (b) 2\/7 (c) -3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 10*r**2 - 54*r + 29. Let n be o(-14). Put n, -106, 4 in decreasing order.\nAnswer: 4, n, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114\/(-14) - -40*96\/640\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-124)\/(-14) - 8)*(-14)\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Suppose 5*x = 5*s, q*x + 5*s - 28 - 4 = 0. Suppose 4*m = -x*d + 12, -1 = -d - 4*m + m. Solve 0 = 2*l - 4*l + d*p - 2, 23 = 5*l + 4*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*n - 21 = -12, -n = 4*l - 21. Solve -3 = 9*q - l*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 152. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**13)**28)**(-9\/2) assuming c is positive.\nAnswer: c**1512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 6*z**2 + 3*z + 11. What is x(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26223*h**3 + h**2 - 17014 wrt h?\nAnswer: 157338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1002659344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59166678 + 0.2.\nAnswer: 59166678.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -302 divided by -33\nAnswer: 302\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-32 - (-12 + 11 - -4)) + 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(2) + 1))**2 + (-6*(sqrt(2) - (-5*(2 + sqrt(2)) - sqrt(2))))**2.\nAnswer: 5112*sqrt(2) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73347715 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 0 + 0 + (3 - 3 + 2*q**2)*(0*q + q + 0*q) + 1 - 2*q**3 - 1 + 0*q**3 - q**3 - q**3 - q**3 + 5*q**3 - 2*q**3 + 4*q**3 - 295*q**3 + 77*q**3.\nAnswer: -215*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15739250 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19667508 or -19667509?\nAnswer: -19667508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -289 + 4.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1095885, 1095865, 1095831, 1095783, 1095721, 1095645?\nAnswer: 1095555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 5*p + 4. Let t be n(4). Let l = -5 - -11. Suppose 0 = 5*k - 3*w - 17, k + 4*w = l*k - 16. Solve t = -k*g + d + 2*d - 5, -11 = 3*g + 5*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**4 + 18*o**3 - 33*o**2 + 18*o = 0?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 12:01 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:56 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 4*q**3 - 3*q**3 + 2*q**3 - 3*q**2 + 3*q**2 + (2*q + 3*q - 3*q)*(2*q - 2*q - 4*q**2).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 - 102 - (0 - (-1 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*w + 2*q, -w - 1 = -4*q + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - 2.4. Let n = 74 - 75. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 0. Let z be (-6)\/(-4)*((-1240)\/105 - -12). What is the closest to 2\/5 in 5, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from adeeeeeeae?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-40)\/(-15))\/((-28)\/84). Which is the biggest value? (a) 0.5 (b) 2\/7 (c) p (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.433 - -0.033. Let l = q - 0.6. Let v = l + -3.4. Round v to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/180 - w**4\/36 + 5*w**3\/6 - 34*w**2 - 1. What is m in n(m) = 0?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*w - 2526*w - 717*w + 100830 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65960 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -3105?\nAnswer: -3118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9925379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-3)\/(-12)*2. Let t be -1*(-3 + 2) + x. Suppose 2551 = 5*s - b - b, -s - t*b = -515. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 17.6061\nAnswer: 52.8183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 7. Let r be k(-9). Let -15*d**3 - 10*d**2 + 24 - r*d**2 + 16 + 2*d**2 + 60*d = 0. What is d?\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ca (base 13) in base 10?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6085996 to the nearest integer?\nAnswer: 2467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - (sqrt(66) - (sqrt(66) + sqrt(66)*2)))*-6 + sqrt(66))\/(1*sqrt(486)) + (-1*sqrt(44) + sqrt(11) - (sqrt(1100) + 3)))**2.\nAnswer: 232*sqrt(11)\/3 + 148745\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzj when three letters picked without replacement from vvjujzvvuz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13550*c - 3348*c - 656966 = -2920*c for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/525)\/(291\/(-485)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 15b?\nAnswer: 15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*b**2 + 16*b**2 + 18*b**2 + 31*b**2 + 144*b.\nAnswer: -3*b**2 + 144*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1047906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38258213 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.8. Let i = 166\/679 - -4\/97. Which is the smallest value? (a) -1 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -257 and -3.\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 968 and 12826?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -320, -11 in increasing order.\nAnswer: -320, -11, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -946 + 919 + (-8598)\/(-318).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-18))\/((-30)\/60). Which is the fourth smallest value? (a) -0.4 (b) -2 (c) -4 (d) q (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - 1.2. What is the second biggest value in 1, l, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - 12 = 0. Let t(i) = -i**3 - 2*i**2 + 27*i - 53. Let r be t(-7). Solve 0 = 6*z - r - g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66448338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**6\/20 + 3*b**4\/8 + b**2 - 36. Let x(p) = 3*p**3 + 4*p. What is 4*r(o) - 9*x(o)?\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/3 in 1\/5485, 0.06, -0.01?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45.843577454133 and -1?\nAnswer: 46.843577454133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**2 - 5*c + 5*c + 3*c**2 - 5*c**2 + 3*c**2 - 3*c**2 + 4*c**2 - 2*c**2 + (281 - 20*c - 281)*(3 + 3*c - 3).\nAnswer: -65*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*f + 12 = -f, -f = -5. Suppose 7590 = t*m + 2389. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 67, 99, 119, 121, 99, 47, -41, -171?\n\"Answer: -p**3 + 39*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1651 (base 13) in base 9?\nAnswer: -4441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.656 + -21.656. What is the fourth smallest value in c, 2\/3, 1\/3, -0.3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 12*v - 12. Let z be l(-11). Let j = -2.2 - -2. Suppose m - 2 = -m. What is the biggest value in j, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 256091974 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79698716 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 32. Let x = -8 - p. Suppose j + 1 - x = 0. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3339 divided by -87?\nAnswer: 1113\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*h - 8, -2*z + 10 - 2 = -2*h. Let g be 10 + 2\/z*-2. Suppose f - g = -4. Solve -5*w - f = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30459, 62045, 93619, 125175, 156707?\n\"Answer: -c**3 + 31593*c - 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 0.076798061.\nAnswer: -4.923201939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (609\/77 + -4 + -4)*6?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1407474, -1407486, -1407512, -1407558, -1407630?\n\"Answer: -c**3 - c**2 - 2*c - 1407470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -700*f - 903*f + 1 - 3 + 506*f - 1708*f to j + r*f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/34? (a) -2\/5 (b) 25 (c) -8 (d) 1\/133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 77932*i\/3 + 759174578\/3.\nAnswer: 2*(i - 19483)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*sqrt(176) + sqrt(176))*-5 + 5*(sqrt(176) + -1) + 5)**2 + 0.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 893*f + 1 + 1012*f + 348*f - 79*f - 270*f to the form y*f + w and give y.\nAnswer: 1904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.24, 0.2, -5, -1686?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 - (-102 + 114)) + 235.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -2823505.\nAnswer: 564701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 6 - 6)*(-3*h + 5*h - h)*(15 + 1 - 6) - 29 - h**2 + 7*h**2 + 2*h + 24 in the form j*h + s + l*h**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9\/7 (b) -0.2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u + 7, 2*u = -4*i - 14. Let q = 4 + i. Suppose 0 = -3*n + 3*d + 27, -2*d = 4*n - q*d - 36. What is n rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 105.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -303.1 and -4.714.\nAnswer: 1428.8134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1. Let b = 64 - 53. What is the least common multiple of b and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2871, -5748, -8625, -11502?\nAnswer: -14379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 398 = -u + 366, 4*u = -4*r - 48 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 122. What is the remainder when 65 is divided by h\/(-45) - (-358)\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 3\/5 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 - 404 + 191 - 3*g**2.\nAnswer: -3*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - 10*o - 7. Let n be c(3). Let h(t) = -7*t**3 - 3*t**2 - 5*t - 4. Let x be h(n). Solve 22 = -4*a + 2*p, -3*p + 23 = -x*a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -384820*d - 124150?\nAnswer: -384820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7125649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - o - 1. Let y(r) = -2*r**2 - 14*r - 8. What is 4*s(f) - y(f)?\nAnswer: -2*f**2 + 10*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78910 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:50 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71044829 to the power of 1\/3, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*c - 99*c = -153000. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 0.4 (c) 0.3 (d) -4 (e) -0.1 (f) -27.842\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1043121 (base 5) to base 16\nAnswer: 4868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 2:05 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-28)\/(56\/(-22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2527, 2528, 2529, 2530, 2531?\nAnswer: 2532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 8 + 3 + 0 + -7.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 28*y**2 + 74*y + 21. Let p be a(25). Put p, -235, 0 in decreasing order.\nAnswer: 0, p, -235","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 + -175. Let g(j) = -j**2 - 8*j + 5. What is g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*f - 81, 44*f - 11*f + 3*b + 28 + 89 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10573889.\nAnswer: 10573889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14029 - -14077. What is the greatest common divisor of o and 12804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1150*i - 28 + 25 to k + p*i and give p.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3056?\nAnswer: 3056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 + 80*t**2 - 50*t - 49. Let d be y(26). Let c(u) = 2*u**2 - 3*u - 4. Give c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 + -6.2. Let g = y + -1.4. Which is the fourth smallest value? (a) 0.3 (b) -5 (c) g (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247519.3 micrometers to meters.\nAnswer: 0.2475193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 16 - 1476\/90 - 404028\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 13*a - 6. Give w(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 7:13 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -178 - -5?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50084987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-9) + (-211198)\/(-78).\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 3*z - 21. Determine s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 - (-1)\/(-3). Suppose -l = -j*l - 7. Suppose -6 = -18*f + 12. What is the least common multiple of f and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 + 18*q - 66)*((-1 + 1 - 1)*(3 - 3 + 2*q) - q + q - 2*q - 32*q + 17*q + 14*q).\nAnswer: -90*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w**2 + w + 41. Let j be n(0). Let p = j + -37. Let g = 11 + -8. Does g = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(304) + 1 + sqrt(304) - sqrt(304)).\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**4 + 39*h**3 - 93*h**2 - 759*h - 630 = 0.\nAnswer: -14, -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*y + 2. Let v be (1 + 0)\/(1\/y). What are the prime factors of -2*(-1 + v - 4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 12*m**3 - m**2 + 6*m**2.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**3 + 3*l**2 + 3*l - 3. Let q(c) = -8*c**3 - 4*c**2 - 4*c + 4. Calculate -3*q(z) - 4*t(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -276 - -272. Which is the second smallest value? (a) f (b) 0.05 (c) 2 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 0*p**2 + 4*p**2 + (1 + 2 - 5 + (3 + 0 - 1)*(46 - 28 - 27))*(211*p**2 - 103*p**2 - 73*p**2).\nAnswer: -697*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 549 + 7. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 8, 3\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + -1 - (-23 - -23))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -8*u + 78. Let z = -16 - -22. Let v(y) = -3 - 1 + z + y + 2. Give v(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 18 = -4*q, -22 = -5*q - 3*d. Solve q*h - 40 = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -u - 35, -4*j + j - u + 21 = 0. Let b(d) = -d**2 - j*d**2 + 9*d**2 - 2*d. What is b(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4793 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 470*z + 28. Is v(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a89535 (base 13) in base 12?\nAnswer: 2b3a1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2859 - 2730. Calculate the highest common factor of 258 and k.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 4. Let s(l) = 22*l + 16. Let i be s(-1). Give z(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9623 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2761.7569 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 18 - (-289 + 286).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 41.1\nAnswer: 4.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 6*g**2 + 4*g - 3. Let k be v(-4). Let x(r) = -r**2 + 74*r - 1. Let c be x(72). What is the greatest common factor of c and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 81. Let k be (6\/w)\/((-5)\/(-4545)). Suppose -4*m + 1009 - k = -2*x, -2*m + 359 = x. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + 8\/3. Let d be f\/(-3) - (-1036)\/(-21). Let l = d + 85. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.04, -1\/3, -20087, -2\/11, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2018 divided by 935?\nAnswer: -2018\/935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/5317004 and 89\/610.\nAnswer: 26585020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/((-34)\/9520*-56)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.5 and -2.4.\nAnswer: 121.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(5 + 31 + 6)*(5*f**3 - 4*f**3 - 4*f**3).\nAnswer: 126*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 37*u - 195 = 8*u. What is the nearest to 3 in 3, -13, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164889 divided by 54963.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3286.15309 + 3625.1506. Let h = -339 + k. What is h rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4343, -8598, -12853?\n\"Answer: -4255*k - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) 3370 (c) 2 (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27012349261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one quarters of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 5*b + 12. Let t(w) = 2*w - 6. Let v be t(3). Solve 3*z + 0*z + b = v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/10 + 13*q**4\/12 + 13*q**3\/6 + 11*q. Let p(t) = -3*t**3 - 6*t + t**3 + 3*t**3 - 6*t**2. What is 6*i(d) + 13*p(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 36*d + 20. What is y(-14)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**3 - 2*k**2 + 4*k + 3. Let m(o) = -o**3 + o + 1. What is -2*m(l) + n(l)?\nAnswer: -5*l**3 - 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-3 + -2)) + 0 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -7, 16, 5 in descending order.\nAnswer: 16, 5, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 9. Suppose -k - j*k = -188. What are the prime factors of k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*j + 0*j**3 + 57*j - 3*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w**2 - 4*w + 42. Let t(i) = -2*i**2 - i. Calculate -r(z) + 6*t(z).\nAnswer: -z**2 - 2*z - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*l**4*y + 4*l**2*z + 271*l*y**3 - y**3 - y**2*z + 2067*y - 6 wrt l.\nAnswer: -24*l**3*y + 8*l*z + 271*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 674.5229ug?\nAnswer: 0.0000006745229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**4\/12 - 5*p**3\/3 + p**2 + 109. Calculate s(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. Suppose -38*t + 20 = -33*t. Suppose 2*m + t = 8. Which is the second biggest value? (a) m (b) -26 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + m + 157 + 29 = -0*m, 5*r + 51 = -7*m + 4*m - m for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*y - 85*y - 30 = -5*z, 4*z + 3*y - 23 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.051 (c) 6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27623456 divided by 246638\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65, -264, -605, -1094, -1737?\n\"Answer: -m**3 - 65*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 a factor of 1087180178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15\/7 (b) -3 (c) -0.4 (d) 76 (e) 0.2 (f) 2 (g) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/15)\/((-141)\/940)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17807 - -17876) + -27 + -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*i + i + 3*i - i + 2*i - 3*i - i + 0 + 0 + (-3 + 3 + 1)*(3*i - 3*i + 2*i) + (6 - 2 - 3)*(-2*i - i + 5*i)*(-2 - 1 + 1).\nAnswer: -77*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -2410463306?\nAnswer: -2410463305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6072 - 6073. What is the nearest to l in 2, -2, -0.1, -149?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-6)*(-9)\/(-38)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2772.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 21. Suppose -q - w = -4*q. Suppose 0*a + q = 2*a. Solve 6*r + 4 = a*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1360*s + 2475*s = -183946 - 101181 - 106043 for s.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -500*a*q**2*s - 4*a*s**2 - 5*q**2*s**2 + 389*q**2 + 2*q*s**2 with respect to a.\nAnswer: -500*q**2*s - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0 + sqrt(5))*-1 - (sqrt(5) + 3*(-1 + sqrt(5))).\nAnswer: -6*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/28 and 29\/4704.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 118810517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -22*l**2 - 22*l - 1. Let y be k(-8). What is the units digit of 1 + -1 + 2\/((-18)\/y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)\/((y*y**(-6))\/y)*(y**(2\/7))**(48\/11) assuming y is positive.\nAnswer: y**(481\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13794 and 4260894.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 1:11 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 300.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 37*z**2 + 147*z + 20. Let n be f(-12). What is the greatest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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 u(h) = -17*h**4 - 3*h**3 - 10*h**2. Let c(d) = -35*d**4 - 5*d**3 - 21*d**2. Let z(b) = 3*c(b) - 5*u(b). What is the third derivative of z(r) wrt r?\nAnswer: -480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48464430 equal to -48464429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105819577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -246, -3, 5, -2 in increasing order.\nAnswer: -246, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -64572065*q. Let h(z) = -z**2. Determine j(h(t)).\nAnswer: 64572065*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/48)\/(7\/16)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/23)*r*r*r**(2\/11))\/(r**0)**18 assuming r is positive.\nAnswer: r**(563\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4)*(6\/8 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81076808*j**5 - 77752*j**2 + 9*j + 24 wrt j?\nAnswer: -4864608480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/61001668 and -7\/52.\nAnswer: 61001668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36980408.95 + -258.\nAnswer: 36980150.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227861 + 34*v**3 - 227855 + 183*v**3 + 455716.\nAnswer: 217*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -13, 6, 41, 98, 183, 302, 461?\n\"Answer: l**3 - l**2 + 5*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 10100010?\nAnswer: 10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98888903 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: What is 34.75 rounded to 0 decimal places?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 135, -38, 29, -1, 0 in ascending order.\nAnswer: -38, -24, -1, 0, 29, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1091631?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 377644 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(720) + sqrt(720))*3)\/(((sqrt(64) + sqrt(64) + 1*sqrt(64) + sqrt(64) + sqrt(64))*-3 - sqrt(64)) + sqrt(64)).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -3036?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v, -4*d - 113*v + 199*v + 164 = 0 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202023 (base 4) to base 15.\nAnswer: 9ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**2 + 2*c**2 + 3*c**2 - 6*c**2 - c**2 - 4*c**3.\nAnswer: -4*c**3 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6531421123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008292465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011479 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:02 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 5*j**3\/6 + 17*j**2\/2 - 2*j + 356. Give l(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -4728.\nAnswer: -1\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115216254 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/24288 and 91\/2852?\nAnswer: 752928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.99 and 0.02?\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + -3 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 42, 82, 138?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7165206 divided by -265378.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 48*q**2 + 5*q + 208. Give z(-24).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2508?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 - 3*b**3 + 4*b**2 + (4 + 0 - 1)*(-b**3 + 2 - 2) - 7*b**3 - 7*b**3 - 4*b**3 to the form h*b**3 + l + x*b + p*b**2 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*(-48)\/18. Let o be (-1)\/c + 59\/(-4). Let p = o + 22. Calculate the least common multiple of 10 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2 - 3524*w + 1552322 = 0. Calculate w.\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(2220\/(-20))*138\/4\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 4*b + 3, -2*b + 1 = 4*r + b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93.0059 - -93. Round v 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 24.2? (a) 4091 (b) -0.2 (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*(10\/(-35) - 99\/(-77))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 4*n + 5*g + 17, 2*n + g + 9 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4096233.\nAnswer: 1\/4096233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2468208.48 to the nearest 10000.\nAnswer: -2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 6:14 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 at least 3628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 less than 0.404?\nAnswer: 0.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65)\/(sqrt(5)*1) + ((sqrt(13) - sqrt(13)*-1) + sqrt(13))*3))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -378*k. Let a(c) = 14615*c. What is a(b(l))?\nAnswer: -5524470*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 23455092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58880666?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, a: 1, z: 2, h: 1}. What is prob of sequence haa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/2, 22, 6, 5, 1, 4\/9 in ascending order.\nAnswer: 4\/9, 1, 5, 6, 21\/2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 2, -1, -4\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292 - -330. Let q(m) = -3*m**2 + 115*m - 29. What is the units digit of q(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -239?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13779503*k**2 + 153 + 6889749*k**2 + 6889755*k**2.\nAnswer: k**2 + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/5 - 39*q**2\/5 - 12*q + 252\/5.\nAnswer: 3*(q - 14)*(q - 2)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7697*l = 7723*l + 338 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Suppose 4*b + 25 = u + 4*u, -2*u - 2*b + 10 = 0. Let k be x(u). Solve k*c + 0*c + 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200211002 - 222212?\nAnswer: -1201210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 4:17 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r = -22*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2169, 2164, 2157, 2148, 2137?\nAnswer: 2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.85544 and 0.5336.\nAnswer: 1.38904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/12 and -59\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 19*p + 16. Is c(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 + 87*w**2\/5 - 2907*w - 569619\/5.\nAnswer: 3*(w - 73)*(w + 51)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.3 from 14959.\nAnswer: 14961.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4883347, 9766692, 14650037?\n\"Answer: 4883345*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 13 = 8*w. Let h(i) = -32*i - 103. What is the tens digit of h(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 5*k**2 + 2*k - 4. Let q be z(5). Suppose 0 = -2*v + q*v + b - 124, 2*v = 2*b + 52. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 1041341511?\nAnswer: -1041341454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -13*g**7\/210 + g**3 + 7*g**2. What is the derivative of w(a) wrt a?\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**2 + 86*c - 6. Let t(l) = l**2 - 14*l + 1. Calculate -6*t(v) - z(v).\nAnswer: 3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4696.5 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 40*j**7\/7 - 8*j**5\/5 - 1786*j**3\/3 - 1205. Find the third derivative of p(u) wrt u.\nAnswer: 4800*u**3 - 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -7\/3*c**3 + 0*c + 4*c**2 + 8. What is the second derivative of g(h) wrt h?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808697757 to the power of 1\/2, to the nearest integer?\nAnswer: 61715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158359279 to the power of 1\/3, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 3486?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162958192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.8669 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:12 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from papepwfpwwppfwa. Give prob of picking 1 e and 1 w.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*t - 126*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -15\/4, -102, -1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2002, -5218, -9646, -15286, -22138, -30202, -39478?\n\"Answer: -606*l**2 - 1398*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 4\/2*10\/5. Is d smaller than 37\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-550 - 1964 - 742 + 910)*(2 + 1 - 1)*(7 + 0 + 2)*(f - 6*f + 4*f).\nAnswer: 42228*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -57\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + d**2 - 3*d**2 + 2*d**2 + 78*d**3.\nAnswer: 78*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1\/9 (b) 2\/121 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1212)\/(-101)*2\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/(4\/(-16)). Let h be (-2)\/g*(1 - 6). Suppose 61 = -h*l + 506. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 2*m**2 + 3*m + 8. Let l be q(-2). Solve 8*t - 22 = 3*t - 3*b, 5*t - l*b - 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 2*k**2 + 1. Let o be (9 + -7)\/(-1 - 0). What is g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 - -5.8602\nAnswer: -100.1398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42759123 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 40, 66, 100, 142, 192, 250?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -587 + 550. Let h = -34 - 7. Let u = d - h. What is the third biggest value in -4, u, -4\/3, 0.5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 10) + (20 - 8) + 2 + -19 + -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (540\/(-150))\/((-15)\/10)*(-30)\/(-16)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcelwwybleybee. Give prob of picking 1 y, 1 l, and 2 b.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 85432 from -1.\nAnswer: -85433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0 - 1\/12*y**4 + 0*y - 17*y**2 - 1\/3*y**3 + 0*y**5 - 1\/12*y**6. Is 12 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7. Suppose 0*t - 5*t - 20 = f. Let d = t + 9. Solve 2*s + 15 - d = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -3791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x - 619826 + 618619 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, -9, 4, 11 in ascending order.\nAnswer: -9, -5, 4, 11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12857 and 12558?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 413 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {r: 1, i: 1, q: 2, v: 1, h: 1, u: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11341135 (base 6) to base 15\nAnswer: 7046e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104904, -104467, -104030?\nAnswer: -103593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 + -0.24. What is the nearest to 1 in -1, b, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w - 1. Let z(g) = g**2 + 2. Let s be z(0). Let h(t) = -4 + 4*t**s + t + 6 - 6. What is h(o) - 3*j(o)?\nAnswer: o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/42 + 52\/14. Suppose 0 = 5*i + 5*m - 115, 3 = n*i - 4*m - 49. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 10*u - 3 = 0, 5*m - 220*u = -221*u + 5 - 41 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -565226 (base 9) to base 7\nAnswer: -2606466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/36205 in -5\/3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3818106 is divided by 424217?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, -0.1, -42, -478, -0.054?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.1. Let i = -188\/45 + 34\/9. Which is the nearest to q? (a) i (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -16*x**2 + 6*x - 5. Does 14 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21582152 less than 282888?\nAnswer: 21865040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -9 + 0 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -16357?\nAnswer: 3\/16357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/12)\/(-1))\/(1\/(992\/48))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 195506036 and 195506036 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*y + 130, r + 2*y + 1 - 19 = 0. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28433 is divided by 360.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -78. Let f(n) = -99252*n**2 + 5*n - 2. Let r be f(y). What is r rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13196 + -13934.\nAnswer: -27130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 104 = 2*x, i = -3*i - 2*x + 208. Let m be i\/6*6*4\/16. Suppose -m*p + 12*p = -23. What is the remainder when 42 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**3\/8 + 22059*d**2\/8 + 4898880*d + 1966104576 = 0?\nAnswer: -768, 8889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14241 + -3299. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -5*sqrt(152))*-5 + sqrt(152))\/(1*sqrt(32)).\nAnswer: 21*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5060658?\nAnswer: 2, 3, 843443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*j - 4*j + 6, 5*j = -2*o + 15. Which is the nearest to o? (a) 0.4 (b) -20 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k + 7. Is u(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*b - 80 = 4*c - 128 + 92, -108 = -3*b + 4*c for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**4 - 8*g**3 + 8*g**2 + 2*g - 6. Let h(r) = -4*r**4 - 15*r**3 + 15*r**2 + 4*r - 11. Let o(x) = 11*c(x) - 6*h(x). Factor o(t).\nAnswer: 2*t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637\/((-11 + -2)\/(-13)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 5. Let l be r(5). Let o be -30*(l - (-5 - -3)). Calculate the greatest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*j + 1. Let b(m) = 2*m. What is the lowest common multiple of b(j) and (1 - 4) + 22\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20940 divided by -30.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 2*l**2 + 2*l**2 + (2*l - l - 2*l)*(18 - 18 + 42*l) - 3*l**2 + 2 - 2.\nAnswer: -46*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241332 divided by 3549.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 6708*i**2 - 7215*i**2 - 4*i.\nAnswer: -507*i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 268\/28 - (-6)\/14. Solve -3*o + o - k = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from jjejjjjjjjjjjjj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -59. Which is the third biggest value? (a) -0.5 (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1578346 divided by 1939\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552626616 to the nearest integer?\nAnswer: 23508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -238a1 (base 13) to base 3.\nAnswer: -10022102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 + 3022652*i**2 - 6045292*i + 3022644 = 0.\nAnswer: 1, 755661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48068.88 litres?\nAnswer: 48068880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)\/r**3)**13 assuming r is positive.\nAnswer: r**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80.6 * 0.1.\nAnswer: -8.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8389638 is divided by 2901.\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:50 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 6*i + 3. Let b be z(-6). Suppose 3*q - 1 - 5 = b*f, -4*q = 4*f + 8. Let a be 21\/(-27) + (-4)\/18. Sort 0, f, a in increasing order.\nAnswer: f, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/31 (b) 7\/4 (c) 0.5 (d) 3 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 266 + -254. What is the smallest common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -23. Suppose q + 4*p = -17, -q + 7 = -p - 1. Which is the nearest to q? (a) 4 (b) w (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 2. Suppose 4*l - 3*c - 210 = 0, -5*c - 12 = -2. Suppose -14*r - 23 = -l. Determine f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Suppose s*h = -h + 45. Let n be 9\/(-16)*(-12)\/h. Which is smaller: n or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17247 or 17246?\nAnswer: 17247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 + 5*c**2 - 2*c**3 - 3*c + 1. Let b(u) = -u**2 - 6*u + 30. Let r be b(-9). Let h(n) = -n + 1. Calculate r*h(k) - s(k).\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32938 and 21500.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Suppose 2*k - 4*d = 46, d + l*d = 4*k - 64. Suppose -2*w = -w + 5*b - k, 0 = 2*w - 5*b - 90. What is the greatest common divisor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f - 2*f + 43 - 39 + 11 - 11 - 10*f + (3 - 1 - 1)*(f - 4*f + f).\nAnswer: -4*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t + 16555 - 16447 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, -7, -13, -15, -13?\n\"Answer: 2*f**2 - 16*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g**2 + 25 - 15 - 2*g**2 - 10. Let y(f) = -20*f. Determine q(y(w)).\nAnswer: -6400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2016) + -6*sqrt(2016)*-2))\/((2*sqrt(70)*2)\/(sqrt(60)\/(sqrt(54) - sqrt(6)) - sqrt(10))).\nAnswer: -39*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 218 (b) 6 (c) -0.0183 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31186 and 15090.\nAnswer: 467790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 - -77. Let m = -4395\/4 - -1087. Find the common denominator of m and (-14)\/3*(-117)\/w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/6 - 3 - (-44)\/(-204)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.29 * -5.\nAnswer: -61.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 1370*t**2 + 78433*t\/3 + 24774.\nAnswer: -(t - 4129)*(t + 1)*(t + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5591327, -11182653, -16773979, -22365305, -27956631?\nAnswer: -33547957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nana when four letters picked without replacement from {a: 11, n: 5}?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 559*s - 3909. Let v be f(7). Put -1, 488, v in decreasing order.\nAnswer: 488, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2794 - -2794.3. Suppose -3 = -2*p + r - 4, 18 = 4*p + 2*r. Suppose -5*l = -p*l - 12. What is the closest to 0 in -5, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -76. Let s = 6 + q. Let f = s + -31.8. Put -0.2, -0.05, f in decreasing order.\nAnswer: f, -0.05, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 130 = -s, 4*o - 2*s = -129 - 131. Let q = o - -68. Solve -p - 10 = -q*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, j: 3}. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10)*10\/18*-3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -467*w - 1 + 1 + 960*w + 2 to the form q*w + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.491 rounded to one dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -12*o + 68. Let v = o - 58. What is the least common multiple of v and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 3. Suppose 2400 = -23*s + 2446. Let r(c) = c - 2. Suppose 0*g - 1 = 3*m + 2*g, 0 = m - 3*g + 15. Calculate m*r(k) + s*w(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 8. Let u = -212 - -332. What is the smallest common multiple of u and a(22)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + -2)*(-4)\/(-3). Let a be (-3)\/2*m\/6. Suppose -4*c = -a*c - 14. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, r: 2}. What is prob of sequence rr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 8*y. What is the units digit of (-2 + 5)*(y - 111\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 56171095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/6 (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27762 (base 9) to base 16\nAnswer: -49a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 21*g + 182 = 0. Calculate the highest common factor of g and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) 2\/3 (c) 1558\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Let r(o) = -3*o**s - o**2 + 2*o**2. Let y(k) = -10*k**2 - 2*k - 10*k + 12*k. Calculate r(y(f)).\nAnswer: -200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-800)\/(-90)) + 24\/((-7992)\/2701)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 14) in base 2?\nAnswer: -100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {g: 2, s: 9, w: 1, b: 1, t: 4}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgg when three letters picked without replacement from {u: 3, q: 1, d: 2, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 20 = -4*o, o - 2*c = -3 - 12. Let r = 10 + o. Suppose 4*m - r = 17. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p + 7. Let a(r) = -3*r - 7. Suppose -112 = 193*q - 336 - 355. Give q*a(t) + 2*d(t).\nAnswer: -t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 665 = -380. Calculate the highest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2374 and 6341549874?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d15 - -4f3?\nAnswer: -2822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36823 and 34?\nAnswer: 1251982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/6 - 39569*x**2\/6 + 316456*x\/3 - 1265696\/3 = 0?\nAnswer: 8, 39553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.1. Let u = 0.1717 + -9.1717. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0428, 19, -46, -1.7?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/4 - 27*m + 1053\/4 = 0 for m.\nAnswer: -117, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497 = -422*d + 51*d + 987. Find n, given that -4\/7*n**5 - 36\/7*n**3 - 8\/7*n - 20\/7*n**4 + 0 - d*n**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -18*z + 4. Let d(p) = -17*p + 3. Let i(b) = -6*d(b) + 5*j(b). Let n(l) = l. Let v(q) = 2*i(q) - 14*n(q). Find the first derivative of v(k) wrt k.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -184, -20, 2, 16 in decreasing order.\nAnswer: 16, 2, -2, -3, -20, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 200677 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 - ((3 - 1) + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b01 + -4?\nAnswer: 7aec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7987381.\nAnswer: 1367, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -0.642?\nAnswer: 1.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 11549507 - 3*x**3 - 11549507 + 6*x**3 + 0*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - 6*y**3 - y**2 + 9*y**3 - 2*y**3 to h*y + t + d*y**2 + g*y**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**4 + 740700*v**3 - 14616027*v**2?\nAnswer: -144*v + 4444200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449559081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z + 38 = 19*z + 18*z - 2*n, 6*z = 10*n - 18 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6538.9 to the nearest 100.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*i - 19, 0 = 4*i - 0*i - 20. Solve -5*z = -4*z - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 56, 124, 218?\n\"Answer: 13*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101112 - 2012121?\nAnswer: -1311003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 63*s**2 - 15*s - 15. Let d(c) = -16*c**2 + 4*c + 4. Let a(q) = 15*d(q) + 4*h(q). Let o(u) be the first derivative of -u**3 - 384. What is o(a(m))?\nAnswer: -432*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*o - 7. Solve -2*y + o = 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-7 + 3))\/((-9)\/(-18714)). Is (1\/(-4)*v)\/(3\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -584231 (base 15) to base 10.\nAnswer: -4215871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -10*h + 22. Solve 3*c = -5*r - 21, -2*c - 8 = h*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 16 + 46 = 0. What is the remainder when 57 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -30*l + 496. Is (-3 - (-1044)\/9)*l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 1161929*m**2\/2 - 580965*m.\nAnswer: m*(m - 1161930)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2057 and 1683?\nAnswer: 18513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -5.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10927 is divided by 437.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**4 + 25*i**3 - 100*i - 80 = 0. Calculate i.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z. Let i = -10 - -15. Let f be ((-35)\/(-28))\/(2\/8). Let s(l) = f*l - i*l - l. Give s(t(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -499 (base 12) to base 11\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g + 1. Let f(j) = -j + 1. Let i(w) = -4*w**2 - 4*w + 2. Let m(d) = -4*f(d) + i(d). Let q be m(-2). Let s = q - -20. Calculate z(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.761 - 5.6. Let x = 68.839 + r. Let j = x + -68.99999884. What is j rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:42 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16807 = -35723. Round q to the nearest 1000.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37234*x**3 + 18618*x**3 + 18618*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6782488 and 40?\nAnswer: 33912440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29258 + -9?\nAnswer: -29264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-6)*(2490\/(-405))\/(-83)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Suppose 5*m - 25 = -2*d - 3*d, -25 = -m - 5*d. Let c = 3 - m. Give z(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**2*g**3 - 11*f**2*g**2 + 57*f*g**4 - 8*f*g**2 - g**3 wrt g?\nAnswer: -12*f**2 + 1368*f*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6517 a factor of 1281829698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/17 - 1656\/3672.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/30 - (52\/(-10) + -1). Let g(n) = n. Let s(l) = -9*l**3 - 5*l. Let r(w) = f*g(w) + s(w). Let z(h) = -h - 3. Let i be z(-4). Determine r(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d - 2*d - 3*d. Let b(i) = -77*i + 141. Let k(r) = 13*r - 24. Let c(w) = 8*b(w) + 47*k(w). Determine 6*c(q) + 33*u(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2)*-2 - ((sqrt(875) - (sqrt(875) - sqrt(875)*2) - sqrt(875)) + sqrt(35) + sqrt(35)))\/(sqrt(84)\/(1*(sqrt(12)*4 + sqrt(12)))).\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/114*63\/70.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152391234 by -5.\nAnswer: -152391234\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/92 - (324\/16 - 20)\/(8\/(-24)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9298659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(sqrt(48)*-1)**2*4 + -1*((-3*-5*(sqrt(3) - sqrt(27)))**2 + 0).\nAnswer: -3658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9 + -1.1. Let v = 4 + -10. Let w = v - c. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1132, 1136, 1140, 1144, 1148, 1152?\n\"Answer: 4*d + 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1173 - 3?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30360)\/23)\/22)\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 571387 and 493?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*j - 118*j - 135. What is the least common multiple of 60 and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:52 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-132)\/(-1312))\/(36\/(-66) + 3) and 131\/126.\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 + 150 = 4*g. Let d = -66 + g. Suppose 3*u = 4*s + d, -4*u - 2*s + 0*s = -8. Solve -12 = -u*b + 5*f, 5 = -3*f - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*r**4 - 4516*r**2 + 71883?\nAnswer: -16*r**3 - 9032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 2*s**3 + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (126\/(-30) - -5)*1\/10. Let o(i) be the first derivative of n*i**5 + 2\/5*i**3 - 3\/10*i**4 + 4 + 0*i - 1\/5*i**2. Factor o(g).\nAnswer: 2*g*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t**2 - 49*t**2 + 24*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101423, -203083, -304977, -407105, -509467?\n\"Answer: -117*g**2 - 101309*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j, -4*l + j + 13 = -0. Solve 8 = 5*r + l*g, -141*g - 8 = -r - 145*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -7*n - 2918. Let w(s) be the second derivative of s**3\/6 + 7*s**2\/2 + 5*s. Calculate -3*v(y) - 2*w(y).\nAnswer: -2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -66441\/7 greater than -9493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010716865756 rounded to 5 decimal places?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/713830 and 89\/2890?\nAnswer: 713830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k - 3. Let s be p(1). Suppose 0*u - 5 = -u - 3*n, s*n - 22 = -3*u. What is the first derivative of -u - 15*i**4 - 60*i + 124*i - 64*i wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 6888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 9 - 0. Suppose 49 = -i*n - 11. Is 29 a factor of 2\/5 + (-612)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((-3)\/(-4) + -3). Let p = 23\/4 - u. Factor 1\/2*f**3 + p*f**2 - 1\/2*f - 1\/2.\nAnswer: (f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 7*z + 7. Let c be k(5). Let v be -8*(c\/2 + 1). Suppose -2*x + 3*x = -x. Solve v*s = -x*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**6\/10 + 3*g**2\/2 + 7*g. What is the derivative of p(z) wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/2))\/f)**(-1\/12))**16\/(f*(f\/f**(-6))\/f*f**(-3\/2)*(f\/(f**(-5)\/f))\/(f*f**4)) assuming f is positive.\nAnswer: f**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 18*y + 21. Let w be g(-17). Suppose d = 3*s - w - 1, -3*s - 4*d + 25 = 0. Solve 0 = 5*b - 8 + s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 + 7 = -2*z, 4*h - 6 = z. Let q(l) = 12*l - 1230. Let j(i) = 5*i - 491. Let v(f) = 5*j(f) - 2*q(f). Calculate v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2588542 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10136 and 7017008?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3213 + -3212. Let v = -27 + 44. Let k = -17.9 + v. Which is the smallest value? (a) k (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2*o - 1. Let c(w) = -6*w**2 + 10*w + 223. Calculate 2*c(s) - 10*z(s).\nAnswer: -2*s**2 + 456","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(425) - ((sqrt(425) + 0)*-3 + sqrt(425)) - sqrt(425))**2 - ((-1 + sqrt(425) + sqrt(425))*3 + 1)**2) + 4 + 5.\nAnswer: -22095 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/25440 and -95\/16136.\nAnswer: 51312480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -521\/6. Let o(n) be the second derivative of 0 + n + 1\/12*n**4 + 0*n**2 - f*n**3. Find the second derivative of o(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (-5 + (-1 + -1 + sqrt(1377) - sqrt(1377) - sqrt(1377)))**2 + -5 + 0 + 1*sqrt(1377).\nAnswer: 135*sqrt(17) + 1419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 3. Let q(z) = -1. Let g(j) = 2*o(j) - 6*q(j). Suppose -3*i = -15*i. Let w(y) = 53*y**2 + 0*y - 45*y**2 + i*y. Determine w(g(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urr when three letters picked without replacement from {u: 9, r: 10}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 411199093 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 22 + 6 + 7 - 801*f**2 in the form o + j*f + a*f**2 and give a.\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 301 + 301 + 11*v**2 in the form c + h*v + y*v**2 + t*v**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -7. Which is the closest to f? (a) -5 (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**3 + 18*l. Let v(w) = w**3 + 5*w. Let i = -10 + 15. Calculate i*k(z) - 18*v(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -105322.3 rounded to the nearest 1000?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 + 589*b**4 - 584*b**3 - 2356*b**2 + 2352*b = 0.\nAnswer: -2, 0, 1, 2, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Let u(v) = v**3 + 4*v**2 + 4*v. Let m be u(-3). Let t be (1 - 1)\/(m - -2). Solve l*z = -t + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/124 and 9\/708580.\nAnswer: 21965980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 2)*(-2 + 2 - 2*i) - 15*i + 2*i + 26*i)*(-5 + 3 + 3).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -347*g - 936*g - 4400*g - 1066*g to the form d*g + v and give d.\nAnswer: -6749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -0.3. Let t = 0 - v. Let n = -5\/8 + 1\/8. Is n != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778117 to the power of 1\/2, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1754*u + 1757*u + 21 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15948 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.15 - -0.15. Let c = q + 12.00131. Round c to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 27*b + 566. Give p(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 221\/52 + -4 + 6\/(-20).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 38 - 143 = 0. Let s = r - -34. Let n = 0.07 - -0.43. Which is the nearest to s? (a) n (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from xkxxipxxxxxxnxxxpxpx?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1351*p + 147*p**5 - 237*p**5 - 410*p - 5*p**4 wrt p?\nAnswer: -1800*p**3 - 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -22638*p - 16. Let m(b) = 3235*b + 2. Give 2*a(x) + 15*m(x).\nAnswer: 3249*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -11, -6, 3?\n\"Answer: 2*b**2 - 5*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -39*w - 20. What is the units digit of y(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 17*m = 920. Suppose -298 - m = -s + 3*n, -s + 483 = -2*n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/(-110) + 4\/10. Which is the smallest value? (a) -6 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u + 12. Let x be s(-1). Solve -2*j + 4*d = 3*j + 21, -j - 21 = -x*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 731, 2910, 6535, 11606, 18123, 26086, 35495?\n\"Answer: 723*k**2 + 10*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/246 and ((1352\/117)\/(-8))\/((-46)\/(-30))?\nAnswer: 5658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7}. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1898 divide 204236302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -90. Let i = p - 15. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*r. Suppose r = 14*m - 24 - 18. Solve g = -m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 6. Let p(w) = 37*w**3 - 11*w**2 + 15*w - 2. Let k(z) = -19*z**3 + 6*z**2 - 8*z + 1. Let m(l) = h*k(l) - 6*p(l). Determine m(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 3\/7 (b) -2\/91 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 119 - 37 + 2*y + 111 + 27 in the form g*y + s and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:56 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16621\/6 + -2790. Calculate the common denominator of 97\/16 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 998623201*g**2 + 126404*g + 4.\nAnswer: (31601*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 26. Let v be (-15)\/q*-2*(-8)\/(-90). Let k = 2 + -1. Which is the closest to k? (a) 3\/4 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207\/122 - -12\/61. Let y = -20.16 + 17.2. Let r = y - 0.04. What is the smallest value in r, 2, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 110568950*g + 611274635205125.\nAnswer: 5*(g + 11056895)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**2*y**3 - 90*q**2*y*z - 15*q*y**2*z**2 - 2518*y**3*z**2 + y**2*z wrt y?\nAnswer: 18*q**2 - 15108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6 + 1.8. Let y = -5.3 + j. Let a = 10 + y. Round a to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 21*l - 5*l**2 - l**3 + 3 + 22*l + 28*l - 69*l. Suppose -7 = -a + 4*h, -5*a - 2*h - 19 = -4*h. Calculate c(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 + 158. What is the second derivative of a**o + 13*a + a**2 + 0*a**2 + 16*a - 26*a wrt a?\nAnswer: 6*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 580*f - 1144.\nAnswer: -4*(f + 2)*(f + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-4 - 4 + 6)*(3*r**2 - 2*r**2 - 3*r**2).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8621 + -8840. Which is greater: x or -195?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 55*k**3 - 105*k**2. Let g(j) = 11*j**3 - 21*j**2. Let v(m) = 2*d(m) - 11*g(m). What is the third derivative of v(n) wrt n?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -480*f - 3294. Give l(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21150 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (49545\/(-90)*(-2)\/(-3))\/((-2)\/898) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*2 + (4 + 1 - -82)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 5*y - 2. Suppose 13*q - 9*q + 4*u = -84, -3*u = -4*q - 70. Suppose 2*f + 13 = -3*j + 87, 3*j - 5*f = 67. Let n = j + q. Give d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49170.91752 rounded to the nearest one hundred?\nAnswer: 49200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-45)\/(-4)*1490\/(-1341)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 0, 2\/7, -0.05, -0.1, 3 in descending order.\nAnswer: 3, 2\/7, 0, -0.05, -0.1, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1306402 or 14370426\/11?\nAnswer: 14370426\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*m + 16, 4 = -q - 3*q + 5*m. Find the third derivative of q*r**3 + 2*r**3 - 10*r**3 - 2*r**2 wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 37) + 2 + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15640 and 25553?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5)*i)\/i**(-1\/3)*i\/(i\/(i\/i**(-5))*i)*i**(2\/15)\/i)\/((i**(-2)\/i**(1\/2))\/(i**3*(i\/i**0)\/i*i*i)) assuming i is positive.\nAnswer: i**(401\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -964 or -966?\nAnswer: -964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 w when four letters picked without replacement from {n: 3, o: 2, t: 2, b: 1, w: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssgl when four letters picked without replacement from sgsls?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 261749 take away -78.4992044?\nAnswer: 261827.4992044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4611 + -634. What is the highest common divisor of 41 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2 + 1734815*t + 400475460 = 0.\nAnswer: -346732, -231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 = -12. What is the second derivative of -30*a**4 + 5*a**2 - 21*a + 9*a**m - 5*a**2 wrt a?\nAnswer: -252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8869*n - 8877*n + n**2 - 8871*n + 26617*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**4 + 392*d**3 - 156*d**2 = 0. What is d?\nAnswer: 0, 2\/5, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -11. Suppose -3*m = -z + 2*m - 3, 0 = 5*z - q*m - 6. Put -2\/21, z, 3\/5 in descending order.\nAnswer: z, 3\/5, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4790803ml to litres.\nAnswer: 0.0004790803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11242, 6237, -2104, -13775, -28770?\nAnswer: -47083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39330\/(-3726) - 11*-1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 46*t + 53. Give q(47).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + ((3*sqrt(60)\/sqrt(6) + sqrt(80)\/sqrt(288))\/((sqrt(45) - sqrt(5))*2 - sqrt(220)\/sqrt(11)))**2).\nAnswer: -2165\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147032697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 16*c**2 + 14*c - 12. Let y be j(-15). Let n(a) = 9*a - 1. Let r be n(3). Calculate the remainder when 33 is divided by r\/3 + y\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**6\/60 - y**5\/5 - y**4\/24 - 2*y**3\/3 - 14*y**2. Let j be l(6). Which is smaller: j or -8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1196552*u - 5859904.\nAnswer: 1196552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13520 to the nearest one hundred.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - 18*l + 75. Let v(h) = -h + 1. Let k(b) = v(b) + w(b). Find the first derivative of k(j) wrt j.\nAnswer: -8*j - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let b(k) = -2*k**3 + 1. Let f be b(0). Let y(w) = -w. Let j(p) = -1 - p + 1. Let h(n) = -3*j(n) + 2*y(n). Determine f*h(g) + 4*s(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 29*x**6\/60 + 143*x**5\/30 - 46*x**4\/3 + 4*x**3 + 473*x**2. Determine c so that j(c) = 0.\nAnswer: -6, 2\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/68*10\/(-5). What is the smallest value in z, 12, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - 43. Let z be (-1 + 0)*-3*8\/x. Let f be 7 + -6 - 1\/1. Is z smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 5 = -37 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41.34133l?\nAnswer: 41341.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/(-288)*(-4)\/(-3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 3:50 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 + -4 - 2) + 0. Suppose -7*i - 6 = -n*x - 3*i, 4*x - 56 = -3*i. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -277, -443, -489, -421, -245, 33, 407, 871?\n\"Answer: -x**3 + 66*x**2 - 357*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 534114 and 252770.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*m. Suppose m = a - 2. Let i = -10 - -32. Calculate the lowest common multiple of a and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -287025, -574064, -861125, -1148220, -1435361, -1722560, -2009829, -2297180?\n\"Answer: -2*v**3 + v**2 - 287028*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 506374.02 milliseconds?\nAnswer: 0.14065945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 202 and 1987?\nAnswer: 401374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 0.1, 5, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/10, -1\/4, 0.00455, 0?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1*(0 - -20). Suppose 83*m - 85*m = -22. Let v(j) = 3*j - 9. Let u be v(m). What is the highest common factor of o and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3036 divided by 4?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 22 = 3*z, 0 = -m + 4*z - 14 - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 5*p**2 - 7*p. Let x be r(3). Let i be 6\/(-4)*16\/6. Is i at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143297.85534654 - -2\nAnswer: -143295.85534654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 51. Let n(g) = -g**2 + 4*g + 8. Let t be n(i). What is the units digit of 12 + (t\/2 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183325713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 32359593 divided by -763.\nAnswer: -42411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d**3 - 20*d**2 - 17*d + 20. Let q(z) = -3*z**3 + 7*z**2 + 6*z - 7. Let a be 1330\/(-77) + 18\/66. What is a*q(v) - 6*w(v)?\nAnswer: -3*v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0208 and 7410?\nAnswer: -154.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 13*a**2 - 18*a + 7. Let y be ((-2)\/4)\/(17\/(-408)). Let b be l(y). Let u = b - -162. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -963167300 to the nearest one million.\nAnswer: -963000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 2*y**3\/3 - y**2 - 6*y. Let n(i) = -5*i + 2. Determine -2*n(j) - 3*q(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**2 + 2*a - 9. Let n(p) = -p + 1. Let j = -5 + 18. Suppose -4*o + 5*i + 65 + j = 0, -16 = -o + 3*i. Let c(q) = o*n(q) + 2*v(q). Factor c(w).\nAnswer: 2*(w - 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 7*v + 56 = 0. Suppose 24 + v = 4*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 2, y: 4, x: 7, h: 4, r: 1}. What is prob of sequence tr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.880157 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -7. Suppose 2*p - u = 9, 15 = -p + j*p - u. Suppose 0 = -5*y - 3*q + 3, q - p*q - 1 = y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89418642?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 27*a. Let o(m) = 322*m - 3. What is o(i(h))?\nAnswer: -966*h**2 - 8694*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.53, -0.01, 1\/32, -2\/9 in decreasing order.\nAnswer: 2, 0.53, 1\/32, -0.01, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - y**2 + 4*y**2)*(7*y**3 - 2*y**3 - 3*y**3) - y**2 - y**5 + y**2 + (4 - 2*y**4 - 4)*(3*y - y + 0*y).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/13 (b) -2\/11 (c) 0.4 (d) -1\/118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 3*h**2 + 2*h - 3. Suppose -2*y = 3*a - 9, -y = a + 2*a - 9. Determine d(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-6)*40*(-23)\/(-1150).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let v(p) = 11*p + 7*p - 6*p. Calculate w(v(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*q - 0*x + 2*x, -4*x = -12. Which is the smallest value? (a) q (b) -1\/9 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 28. Suppose 47 + 28 = 5*r. Let h = r - 11. What is the lowest common multiple of i(-6) and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93776165.\nAnswer: 5, 7, 17, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 5*s. Let q(m) = 25*m - 15. Let p(y) = y - 1. Let n(f) = -15*p(f) + q(f). What are the prime factors of n(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose 36*n - 32*n + 8 = 0, -3*n = -4*a + 26. Suppose -a*l = 3*j + 11049 - 2564, r = 5*j - 25. What is l rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29007 - 29022 = 15*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047001 rounded to seven dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.61 (b) -6.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21078482?\nAnswer: 2, 10539241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14313 - 9986. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8645 and 70?\nAnswer: 17290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.09 (b) -1 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddj when three letters picked without replacement from {d: 4, j: 4, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 + 204. Let p(a) = -3 + u*a**2 - 113*a**2 + 3. Let k(c) = -6*c + 2*c + 2*c. What is p(k(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.6 - -43. Let j = 15 - 10. Put -1\/2, j, f in decreasing order.\nAnswer: j, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 159 - 3621 = -40*v + 816 for v.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135 - (60 - 31) - -1.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s**2 + s + 1. Suppose -2*k - 2*k + 2*f + 18 = 0, -2*k - 11 = 3*f. Suppose g + 2 = -h, h = 5*g + k + 2. What is u(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjyy when four letters picked without replacement from tytytjymjjtyyttjjjt.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 8*l**3 - 2*l**2 + 8*l - 6. Let i be m(2). Suppose 0 = a + 2*f - 19, 0*f = 4*a - 2*f - i. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001130003 (base 4) to base 10.\nAnswer: 5248771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**2\/5 - 1038*o\/5 - 351.\nAnswer: 3*(o - 117)*(3*o + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p + 1\/4*p**4 + 0*p**3 + 0 + 1\/2*p**2. What is the first derivative of z(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0316, 4, 0.4 in increasing order.\nAnswer: 0.0316, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**22*g**(1\/9)*g assuming g is positive.\nAnswer: g**(208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2. Let o(y) = -1 + 17 - 16 - 227*y**2. Determine o(l(q)).\nAnswer: -908*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 58 + 41)*(0*k + 0*k - 3*k)*(1 - 4 + 4).\nAnswer: -222*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 670585 greater than 670586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 10*n - 18 = 0. Let o(g) = -g**2 + 20*g - 28. Let b be o(n). Let k(l) = 4*l - b*l + 4*l - 3*l. Let x(p) = -8*p**2. Determine k(x(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 6*m - j = 16, -m = -2*j - 17. Solve m*v + 5 = 4*v + l, 0 = 5*v - 3*l + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 2:40 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*8\/10*(-80)\/96?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + z + 2. Let k(w) = -3*w**2 - 3*w - 6. Let j(v) = 4*k(v) + 11*n(v). Determine j(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5770*a + 51825. Calculate s(9).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*((sqrt(320)*2*-5)**2 + 3).\nAnswer: 128012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1152\/324*828\/6992?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 20*v**3 + 1 - 63*v**4 + 0*v - 3*v - 3*v**2 - 72*v**4 + 139*v**4 to y*v**4 + r + m*v + h*v**2 + n*v**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = g + 13, 2*s - 59 = -3*g - 2*s - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (380\/570)\/(2\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1187*g + 9504. Let j be x(-8). Solve j*z - 310 = -302 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28126, -28006, -27832, -27574, -27202, -26686, -25996?\n\"Answer: 5*a**3 - 3*a**2 + 94*a - 28222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 592*f - 108*f**2 + 1926*f - 1334*f.\nAnswer: -5*f**3 - 108*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 13 - 41 + 19*w**3 - 18*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/14*-5*(-25)\/((-1500)\/9)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*h**2 - 183*h**3 - 37*h**3 + 43*h**3.\nAnswer: -177*h**3 - 116*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-6\/5))\/p**18)**34 assuming p is positive.\nAnswer: p**(-2686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7510 + 15411. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 21*q**2 - 2*q + 1. Let y be k(1). Let t = -136 + 138. Suppose -2*w - 5*g = t, -22*w + 10 = -21*w - 3*g. Solve 0*p = w*p - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6. Let k(h) = -h - 1. Let r(l) = -a(l) - k(l). Let o be r(-3). Suppose 2*c - 104 = -o*x + 250, -3*c + 353 = 4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*l - 4*c = 450*l - 73378, -3*c = -5*l + 183445. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -77. Let f be -1150*(-12 + 15 + 4003\/z). Round f to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230385502*p**2 + 2*p**3 - 230385509*p**2 + 460771011*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*d + 34*d - 630 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1152) - 5*-2*sqrt(18))\/(sqrt(81) - ((sqrt(81) - sqrt(81)*2)*-1 + sqrt(81))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 888151346 a multiple of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100\/(-10) + 0\/(-1). Let v(x) = x + 12. Let h be v(g). Suppose 0 = -h*z + 2*s + 16, -3*s - 36 = -2*z - 3*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 10:23 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3129 is divided by 391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)*((k*(k**(-2\/7)*k)\/k)\/k)\/k*k)\/(k\/(k\/(k**(1\/2)*k)))**(-4))\/((k*k**(-2))**(4\/7)\/(k**2*k)**(-10)) assuming k is positive.\nAnswer: k**(-187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188004?\nAnswer: 2, 3, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61460*q**2 + 775*q + 61459*q**2 - 122921*q**2.\nAnswer: -2*q**2 + 775*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494, -1016, -1572, -2162, -2786?\nAnswer: -3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 9*x + 5. Determine d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025579 to four decimal places.\nAnswer: -0.0256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212292 is divided by 2041?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656917?\nAnswer: 1656917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -14. Suppose 9 + g = 3*l. Suppose l*z - 7129 + 1759 = 0. Round z to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.49179 and -11.9.\nAnswer: 5.852301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*m - 2*i - 72, -5*m - 4*i = -78. Let a be -1 + -12 + 3 + -1. Let w = 16 + a. Calculate the remainder when m is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.92 - 0.08. Let x = -135 - -287. Let r = x - 149. Which is the nearest to -0.3? (a) h (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 28*h**3 - 25*h**3 - 34*h**3 + 90*h**3 - 43.\nAnswer: 3*h**3 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/2 + 15\/5. Is (0 + i)\/(7\/245) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 10*u**2 + u + 2. Let c be k(7). Let g = -831 + c. Suppose 12*m = 9*m + g. What are the prime factors of m?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.917 + 4.007. Which is the second biggest value? (a) 4 (b) 10 (c) -1\/4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 3*n = -10. Let l(m) = -3 + 6*m**2 - 2 - 4 - n. Let i(q) = -q**2 + 2. Calculate -11*i(f) - 2*l(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13066 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i**(1\/4)*i*i*i**(-1\/9)\/(i\/(i\/i**2)))\/(((i*i\/i**(-1))\/(i*i\/i**4))\/((i\/(i**(1\/4)*i))\/((i*i**(1\/3))\/i))) assuming i is positive.\nAnswer: i**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*(d\/(((d\/(d*d\/d**(-7)*d)*d*d)\/d)\/d))\/d*d)**(-4\/21) assuming d is positive.\nAnswer: d**(-68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**5\/8 + 375*o**4 - 702975*o**3\/8 - 11935125*o**2\/4 = 0.\nAnswer: -30, 0, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 92 + 66 + -152 + -59*(0 - -1)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 37. Let c = 45.9999982 - j. What is c rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.67? (a) 2\/11 (b) -3 (c) -5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 41 (b) 14\/5 (c) -2\/11 (d) -4 (e) 43\/3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88899 + -29912. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 683.607 + -673.6. Let g = 24 + -14. Let k = l - g. Round k to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -2*r**3\/3 - 97*r**2\/2 - 86*r - 16. Give z(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 31. Let j(b) = 23*b + 9*b + 21*b - 88*b + 25*b. Determine h(j(i)).\nAnswer: 20*i - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 556 divided by -27090\nAnswer: -278\/13545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -19*i + 190. Let v(d) = -d**3 + 14*d**2 - 15*d + 28. Give v(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27041220?\nAnswer: 2, 3, 5, 17, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6514537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, a: 1, h: 1, s: 2, g: 3}. Give prob of picking 2 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6672742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 - 11*f**4 - 12*f**4 + (-4*f**4 + 2*f**4 + 3*f**4)*(0 + 1 + 1).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**4\/4 - 11*w**3\/3 - 25*w**2\/2 - 9*w - 32. Let z = 9 + -5. Calculate the least common multiple of z and u(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 556269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*k + 48, 2*c + 15*k - 26 = 10*k. Suppose 3*o + 4*u + 2617 = c*o, -4*u = -o + 517. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(17\/18 + -3 - -2). What is the greatest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 8, 22, 42, 68, 100?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5\/3, -121, -2.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -14 + 8 - (31 - (-29 + 48))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 3*l + 4. Determine g(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 60 + 33?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3401\/2970 + 7\/594. What is the common denominator of -58\/35 and c?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1864 bigger than -1864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 362*h - 361*h + 16, 2*h = -u - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7 - -7.3. Let x = -9 + b. Let p = -2.5 - -2. What is the smallest value in p, x, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*n + 16 = 0, -10 = b + 3*b + 2*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 14. Let m(t) = 3*t**3 + 6 - t**2 - 2*t**3 - t - 3. Is m(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 624244 divided by 1\nAnswer: 624244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -289. Let u(r) = -4*r**2 + 114*r - 79. Let t be u(24). Let k = t + h. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*i = -115*i + 28 + 56 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 235 (b) 4\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -27?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.7 + -5.2. Put -0.86, h, -4\/9 in descending order.\nAnswer: -4\/9, h, -0.86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17489 (base 10) to base 14\nAnswer: -6533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 159*c**2. Let w(h) = -9*h. Calculate w(f(x)).\nAnswer: -1431*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50831 + 67?\nAnswer: -507b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9485 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*2*sqrt(19) - (sqrt(57)\/sqrt(3) + -2)) + ((-1*sqrt(171) + sqrt(171) + sqrt(171))*6)\/sqrt(9))*4)**2.\nAnswer: 1088*sqrt(19) + 87920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6282430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37.4 in 0.1, 0.2, -4\/5, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32398981*w + 21460*w**2 - 32398981*w)*(0 + 0 + w**2) to b*w + m*w**3 + t + d*w**4 + s*w**2 and give d.\nAnswer: 21460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 11*v**4\/4 + 2*v**3 + 6*v**2. Let w be p(9). Let z = w + -259. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 3*s + 2. Let d = 107 + -110. Let t be k(d). Solve -12*b**2 + 10 + t + 15*b**3 - 6*b - 9*b = 0 for b.\nAnswer: -1, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 7:45 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 889*b**5 - 15*b**4 - 9*b**2 + 718*b - 218 wrt b?\nAnswer: 17780*b**3 - 180*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*r + 117 = -4*o, -2*o = -2*r + 242. Calculate the common denominator of -21\/40 and ((-339)\/(-20))\/(o\/20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*h**2 + 22*h**2 - 18 - h**3 + 18 to the form v*h**3 + l*h**2 + y + d*h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**2 - 412 + 118 - 131 - 53.\nAnswer: 25*u**2 - 478","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (-3 - -5 - 1). Suppose 2*m - 13 = -z. Find the third derivative of -8*b**4 + 5*b + b**m - 5*b - 6*b**2 wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 13.9. Let q = z + 0.4. Suppose -2*k - 4*y = 0, 5*k - 22 = -y + 2*y. What is the third biggest value in -0.4, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-495)\/(-60) + 1\/(-4). Solve -3*c - 3*n + h = -7, -n - 20 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 69849894.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 22. Let d(x) = x + g*x - 7*x + 3*x. Let y(s) = 3 + 3*s - 3. Calculate y(d(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102102010 (base 3) to base 9.\nAnswer: 42363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -408868\/49725 + 2\/5525. Find the common denominator of 38\/13 and y.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -85, -64, -25, 38?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14465\/361994 - -2403761875\/2363639823. Let m = x - 2\/1451. Calculate the common denominator of -39\/22 and m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 14*v**2 + 26*v + 21. What is a(17)?\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 18*z - 11. Let l be c(17). Let b be (-87)\/l*-4*3\/6. Find the second derivative of -b*g**2 + 15*g**2 + 31*g - 12*g wrt g.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.6 * -3\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46413 is divided by 22777.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3 = 0, 4578*g = 2*w + 4582*g + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2505839 divided by -357977?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88755.71 kilograms to milligrams.\nAnswer: 88755710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3)\/((-7)\/(-1218)). Let o = 63 + a. Suppose o*r - 951 - 1234 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*n**2 - 7*n**2 + 5*n**2 in the form u*n**2 + c*n + l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-3 + 5 + -3). Suppose 0 = -y*v - 0*v + 12. Suppose -5*s = -2*c - 125, -3*s = v*c + c - 75. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12122102 (base 4) to base 3\nAnswer: 1100000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 14) + 101 + -91.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8708275*v - 8708016*v = -3626 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/((-1)\/(-5)). Let d(j) = -j**2 - 6*j - 5. Let c be d(-3). Let z(k) = 6*k + c - 4 - 2*k**g. Let y(t) = 2*t**2 - 5*t. What is 5*y(b) + 4*z(b)?\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + q**3 + 3221*q**2 - 3219*q**2 - 6 + 0. Let c be z(0). Sort 8, c, 2.\nAnswer: c, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/6)\/(c**5*c*c)*(c\/c**9)\/c**(-3\/10))**44 assuming c is positive.\nAnswer: c**(-9592\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, -163, -5 in increasing order.\nAnswer: -163, -24, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3009.006658 + -3009. Round i to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -349586 to the nearest one thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1042, 4146, 9326, 16588, 25938, 37382, 50926?\nAnswer: 66576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144428 = -3593*h - 37186 + 45569 + 206489 for h.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*7\/((-112)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(102) - sqrt(102)*-2)*6 + 5*-1*sqrt(102))\/(-6*sqrt(96)*1))**2.\nAnswer: -13*sqrt(17)\/12 + 3449\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -58.73. Let q = -4.37 + 4.4. Let k = q + x. Which is the third smallest value? (a) k (b) -1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 67 = 3*u, 7*u - 427 - 381 = 4*t - 655 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/3 + z**3\/3 - z**2\/2 - 171*z. Let l(r) = -r**2 - r + 1. What is -2*l(a) - x(a)?\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t. Let k(p) = -p**3 + 6*p - 2. Let b be k(-3). Suppose -28 - 2 = -5*v. Let h(x) = x**2 - 7*x. Calculate b*h(l) + v*i(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 11) + 50\/1*1. What is the highest common factor of z and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 496*o**4 + 4*o**2 - 18990*o?\nAnswer: 5952*o**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4582 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 7*l. Suppose -1 = -c - l. Let g be 3\/6*(c + 3). Solve -h - g*o = -4*o + 4, 2*o + 4 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50857 is divided by 9514.\nAnswer: 3287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**4\/12 + 170*b**2 - 2*b - 4. Let r(u) be the second derivative of u**3\/6 - u**2 + 2*u. Calculate r(d(z)).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**3 - 2*p**2 + 9*p + 20. Let k be a(-4). Let z = k + 379. What is the remainder when 16 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2178 and 0.6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*r + 5 + 22, 5*r - 2*u = 21. Let o = 2 - r. Let k = 5 + o. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*-3*6\/72*(-168)\/(-8190)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15121\/28 + -540. Let c = o + -5\/28. What is the nearest to -14 in -1\/2, c, 8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 33 + 11 = -4*j, -l + 17 = 3*j. Suppose -l*g - 3*x + 33 = 0, -g = -0*g - 2*x - 20. Let s be (-3*2\/(-3))\/1. Solve -4*w - s = g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -94, -87, -66, -25, 42, 141, 278?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42976 divided by -13.\nAnswer: -42976\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 18\/55 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 - 154. Suppose -162 = -x*h - 0*h. Is 35 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100597 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*t + 176, -k + 14 = -t - 76. Is k a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/90*3 + -8 + (-2715)\/(-350). Which is the nearest to 0.1? (a) s (b) -2\/5 (c) 1\/6 (d) -11.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9222 is divided by 705?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 2 - 1 - 3. Let x be q(-5). Suppose -r + 3*h = -14, 0 = x*r + 4*h - 1 - 2. Solve 0 = -j - r*a - 24, -6 + 2 = 5*j - 4*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 + 104. Suppose x*s = -9*s + 96. Put 2, -2\/9, s, -1\/8 in descending order.\nAnswer: s, 2, -1\/8, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 302 + 1 + 0 - (3 + -3). Find the common denominator of y\/44 - (22 + -17) and 35\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/13, 2, -2.7, -38?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 362?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.91 + -1.91. Sort -7, 1, n.\nAnswer: -7, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 1129.\nAnswer: 1128.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kfhffhkfkhhffffhfkh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eliq when four letters picked without replacement from {d: 2, q: 1, i: 2, l: 1, e: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9439 is divided by 429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 + 12*w**2 - 45*w**2 - 2*w**3 + 9*w**2.\nAnswer: -2*w**3 - 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -r - 2*q, 5 + 10 = -5*q. Calculate the lowest common multiple of r and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -99*l - 86. Let m(b) = -258 + 139*b - 237*b - 198*b. Let z(h) = -14*g(h) + 5*m(h). Differentiate z(y) wrt y.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 55 = -0*f. Let r = -9 + f. Solve -4 = 3*o + r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 2. Calculate d(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/(22\/10 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10227, 10228, 10229?\nAnswer: 10230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:53 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and -5?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:52 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1342329*q + 2883224?\nAnswer: 1342329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3921*-4.\nAnswer: 1.5684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -49*z**5 + 3752*z**4 - 27465*z**3 - 1933558*z**2 + 1111268*z - 159048 = 0.\nAnswer: -18, 2\/7, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/3*(-2)\/(-30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10979520?\nAnswer: 2, 3, 5, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.913213 + -0.912. Round r to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:41 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5697.8822 rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 take away 3.574?\nAnswer: -26.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 5 = -4*q. Let d = -2 - q. Let f be (-2 + d)*2\/20. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-56)\/(-196) + 44\/(-56))\/(2\/(-544372)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16977 - 9462. List the prime factors of r.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(128))*-1)**2.\nAnswer: 16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -6) + (-15 - (15 + -10 - 11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**5 + g**3 - g + 1. Let j(d) = 13*d**5 + 6*d**3 - 10*d**2 - 6*d + 6. Let k(w) = -j(w) + 6*p(w). What is the third derivative of k(s) wrt s?\nAnswer: -1140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**9\/20160 + f**8\/2240 - f**6\/60 - f**5\/30 - 3*f**2. Let q(r) be the third derivative of s(r). Factor q(i).\nAnswer: 3*(i - 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 193\/4. Let x be -45*(-6)\/(-63) + 4. What is the nearest to x in 1, l, 51?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 9. Let u = 17 + z. Calculate the remainder when 46 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 0 - 5\/4*c**2 - 5\/4*c**3 + 5\/2*c = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 + 18*v**2 - v - 26. What is the lowest common multiple of 12 and k(-5)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27591?\nAnswer: 3, 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 10*x - 12*x - x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835778578?\nAnswer: 2, 97, 223, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2*n + 0)*(-6826 + 3412 - 365*n**3 + 3413).\nAnswer: 730*n**4 + 730*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 7*l**2 + l + 5. Let y be m(-7). Let o = y - 5. Let u(r) = -r**2 - 8*r - 2. What is the units digit of u(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100223331 (base 4) to base 12\nAnswer: -13b311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201 - -209. What is the second biggest value in -2\/3, f, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/((-5369)\/(-5251) + (-8)\/356)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*q = -40, -4 = 2*q + 4. Let l(f) = -5 + 0*f**2 - f**2 + g*f - 2*f. What is the units digit of l(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 - 10*i**4 + i**3 + 10*i**2.\nAnswer: -i**2*(i - 1)*(i + 1)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, g: 2, f: 6, y: 2}. What is prob of sequence fgg?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -68\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3161810 divided by -632362\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m**2*x**4 - 106829*m**2*x**2 + 9*m**2 - 254861*x**5 + 3*x**2 wrt x?\nAnswer: -168*m**2*x - 15291660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5*(-52470)\/1275021.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/43 + -101\/301. Let f = -24 - -26. What is the third smallest value in f, -2\/3, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -501*k**2 - k. Suppose 22 = -3*h - 6*y + y, -4*h = -3*y - 19. Let o be f(h). Let s = o + 939. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943.8347 years in decades?\nAnswer: 94.38347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20127 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 12031.\nAnswer: 5\/12031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-8) - (-420)\/42?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/7*-6*2\/10. Let t(y) = 3*y - 2 - 4*y + 4. Let a be t(0). Is k > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117192306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (2 - 3 - 0). Let c = -107 - -114. Suppose -n - 3*f = c, 2*n - f - 17 + 3 = 0. Sort 42, z, n in decreasing order.\nAnswer: 42, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 820.17 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.31 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 2*q - q**2 - q. Let w(n) = n - 1. Let y(p) = 2*p - 5. Let z(o) = 5*w(o) - y(o). Determine z(v(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56454 divided by 6.\nAnswer: 9409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12524?\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 193806 at least 194005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 595853697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5617215 divided by 1\nAnswer: 5617215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167238 by -19.\nAnswer: -8802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 6. Let c(z) = -2*z + 7. Let h(m) = -3*c(m) + 2*n(m). Let q = -6 - -13. Let x be h(q). Solve x*y - 15 - 10 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-342)\/21 - ((-38)\/(-14) - 3). Let u be ((-4)\/b*-3)\/(8\/32). Let j(n) = -5*n - 9. Give j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 14 = -28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/30 + i**4\/8 - 7*i**3\/6 - 201*i**2. What is q(5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skf when three letters picked without replacement from kjjfsjfjhjkjjj.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -1\/24*y**4 - 5*y**2 - 1\/210*y**7 + 0 + 0*y**3 + 1\/60*y**5 + 0*y**6 + 0*y. What is the second derivative of a(i) wrt i?\nAnswer: -12*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-41319308.\nAnswer: -2065965.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-24) + ((-866)\/(-6) - 1). Let y = 147 - q. Which is the third smallest value? (a) y (b) -2 (c) -0.19 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -13. Suppose 21 - 1 = 5*u + b, u + 3*b = -r. Solve a + u - 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1807, 8, 0, -1, 18.\nAnswer: -1807, -1, 0, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 19*a + 100. Give p(11).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -449422 and 257?\nAnswer: -115501454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 128 and 96009.\nAnswer: 12289152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.011 + -0.011. What is the second smallest value in k, 1, 3, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 5, 20, -5 in decreasing order.\nAnswer: 44, 20, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197884457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8074, -0.3, 4 in descending order.\nAnswer: 4, -0.3, -8074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.4812 + 0.79577.\nAnswer: -8.68543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*x**3 + 29*x**2 - 2016*x + 2079*x - 9*x**2 + 16*x**3 + 14*x**2 wrt x.\nAnswer: 336*x + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 24. Let q = -7 - v. Which is the closest to 0? (a) 5 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73135?\nAnswer: 5, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -887224 or -887213?\nAnswer: -887224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12253051157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/5*-4)\/(3\/135). Calculate the highest common factor of w and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -21*j**2 - 37*j - 12. Let g(u) = 7*u**2 + 12*u + 4. Let l(k) = -11*g(k) - 4*q(k). Factor l(p).\nAnswer: (p + 2)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**2*x**2 - 6*t**2*x + t**2 + 14*t*x - 4*x**2 - 630 with respect to t.\nAnswer: 4*t*x**2 - 12*t*x + 2*t + 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 547\/5 and 110 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*k + 14 = 0, 3*k + 23 = -0*o - 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16768*v**2 - 5267*v**2 + 9727*v**2 - 4370*v**2 + 8513*v**2.\nAnswer: 25371*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 2*f**3 - f**3)*(1 - 2*f**2 - 1) - 17*f**5 + 56*f**5 + 10*f**5 + (9*f**3 - 23*f**3 - f**3)*(-4*f - 2*f**2 + 0*f**2 + 2*f).\nAnswer: 75*f**5 + 30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 6, -5*l - 14 = 3*v + 2. Let i be (-43)\/l - (-6)\/(-10). Suppose i = n - 4. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 - -1 - (-9 + -2 + 16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-78)\/(-13) - 9 - -6. Find v, given that 32 + 56*v + 30*v**2 + 1\/2*v**4 + 13\/2*v**q = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 41\/(-8))*-2. Let n = 10.2 - 8. Let t = n - 2. Which is the nearest to r? (a) 3 (b) t (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4229614 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9*g = 1536. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 8, 5*c + 3*i + 37 = 11. Sort 63, 3, c.\nAnswer: c, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 3*c + 54. Is n(10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 6*d**2 + 304*d - 4. Let h(n) = 3*n**3 - 11*n**2 - 608*n + 7. What is -4*h(k) - 7*t(k)?\nAnswer: 2*k**3 + 2*k**2 + 304*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5185283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*w - 140*w - 2676 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 20\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -553216, -1, 5 in decreasing order.\nAnswer: 29, 5, -1, -553216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17290 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 - v**2)*(3 - 5*v**2 - 3) + (-432*v - 304*v - 261*v)*(3*v - 2*v**3 - 3*v).\nAnswer: 1999*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499 = -4*k + 173. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177059458?\nAnswer: 2, 1303, 67943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -7\/15*c**3 + 48*c + 8\/5*c**2 + 0 - 1\/30*c**4. Factor i(w).\nAnswer: -2*(w - 1)*(w + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/18 - 712\/(-12). Let q = r - 58. Solve -8*o - 5*t = -3*o + 30, -q*t = -5*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 73 + 165 + 6*u + 81 + 2*u**2.\nAnswer: 2*u**2 + 6*u + 418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00090711167 to six dps.\nAnswer: 0.000907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118966405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -25. Suppose -36 = -d*a - 4*b, 0 = 4*a - b - 4*b + 4. What is the second derivative of a*f + 9*f**4 + 0 + 0 - 12*f wrt f?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 553, 1258, 2235, 3478, 4981, 6738?\nAnswer: 8743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/((q\/(q*q\/q**(-5\/4)))\/q))*q**(-28)*(q**(-17))**34 assuming q is positive.\nAnswer: q**(-2437\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.3 - -39.30006393. What is v rounded to 6 dps?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-4)\/(-45))\/((-2)\/(-10))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25511.9984388 + -25512. What is x rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mivim. What is prob of picking 2 m and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 16*q**2 + 47*q - 6. Let x be k(-17). Let p = 516 + x. Factor 4\/17*a**2 - 2\/17*a**4 - 2\/17 + p*a + 0*a**3.\nAnswer: -2*(a - 1)**2*(a + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/((h**(-1\/6)*h)\/h))\/(h**4*h**(1\/6)))\/((h**(-3)*h)\/h**(-6\/7)*((h\/(h**(-3\/2)\/h))\/h)\/(h*h**(-3))) assuming h is positive.\nAnswer: h**(-89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 + 21 = 0. Let l be c\/(-21) - (-33)\/7. Suppose 4 - 39 = -l*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2087 + 2081 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5913 and -133\/31788?\nAnswer: 20884716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u + 10602 - 10602.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*8\/3. Suppose s = -f*s. Suppose 3*b + s = -n - 1, -2*n - 3*b + 1 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14266, -14265, -14264, -14263?\nAnswer: -14262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -2. Let u be 2 - (-2 - (-2)\/(-2)). Let z = u - o. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -218, -173, 162, 793, 1726, 2967?\n\"Answer: c**3 + 139*c**2 - 379*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, -10, -59, -148, -289, -494, -775, -1144?\n\"Answer: -2*j**3 - 2*j**2 - j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**6\/360 - f**5\/60 - f**3 - 3. Let q(w) be the third derivative of u(w). What is the second derivative of q(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34\/79, 5, 9.3 in descending order.\nAnswer: 9.3, 5, -34\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l + 7*l + 77 + 5*l - 18*l to the form f + y*l and give f.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2. Let s(b) = -2*b - 39. Calculate c(s(j)).\nAnswer: -4*j**2 - 156*j - 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 718351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 8*c + 8. Suppose 3*y - 4*o = -32, -6*o = -y - 4*o - 12. Let l(u) = 2*u**2 + 5*u + u - 3*u - 3. Calculate y*l(q) - 3*w(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:47 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5\/17 + 192*t**4\/17 + 18086*t**3\/17 + 251140*t**2\/17 - 123288*t + 107440 = 0.\nAnswer: -34, 1, 5, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11889?\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w + 4*t, 2*w + 2 = -4*t + 6. Let z(h) = -608*h - 48*h**w + 608*h. Let l(m) = -m. Calculate l(z(f)).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1281 = 122*d - 183*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**4\/24 - a**3\/6 - 12*a**2. Give z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dd1 + -32?\nAnswer: -e13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 2*h**2 - 2*h + 2. Suppose 0*u = -0*u - 5*u. Let r be l(u). Solve 3*k - 7 = -r*c, -13 = -5*c + 2*k - 5*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2741272 is divided by 2766?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.333 + 0.303. Let j = 94\/9 - 89\/9. Which is the second biggest value? (a) j (b) 2\/13 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 43 = 4*l. Solve -l*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118270390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7363*p = -7382*p + 190. Solve 5*w + 2*i + 1 = 0, 5*w - p*w - 4*i + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (376\/(-1410))\/((-6)\/(-1305)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -420, -1219, -2772, -5331?\nAnswer: -9148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 - -9.2. Let x = -0.3 - -0.2. Which is the third biggest value? (a) x (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3\/9 - 5*n**2\/3 + 7*n - 67. Suppose k(y) = 0. What is y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 27. Let r = 5 + g. Let m = 16 - 17. Which is the closest to m? (a) 1 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1514498 > -1514498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 2:28 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 535 and 158681?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 883710 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2496282380.\nAnswer: 2, 5, 17, 7342007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12*z**2 - 3*z. Let s(t) = t. What is s(q(i))?\nAnswer: -12*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwf when three letters picked without replacement from {w: 4, f: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/8*(-23 - 69285\/(-3015)) and 43\/27.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3234*v**2 + 31498*v**2 + 7562*v**2 to o*v**2 + p*v + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-8) - 825042\/(-4). Let k be ((-10)\/24)\/(6\/q). Let x = 14330 + k. Calculate the common denominator of x and 85\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110\/(-4)*((-792)\/10)\/11.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 15 + 4738*q - 4715*q + 6*q**2 + 16*q**2. Let w(d) = -d**2 + 11*d - 5. Let h be w(4). What is the remainder when 72 is divided by z(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 44\/57, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -19*q**2 - 3 + 14*q + 2 - 16*q. Calculate u(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 34*s + 15. Let b(f) = -40*f - 16. Let i(l) = -5*b(l) - 6*z(l). Determine i(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/4)*a)*a*a**(-1\/7))**(-1\/3) assuming a is positive.\nAnswer: a**(-31\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 1. Let r be g(3). Suppose -5*w = -13 - r. Are w and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9780, 117 in increasing order.\nAnswer: -4, 117, 9780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = r + r - 142, -r + 145 = -2*s. Let g = 238 + s. Suppose -3*a - g + 548 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000010001111111100 (base 2) in base 16?\nAnswer: -2c23fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34990, -35009, -35030, -35053?\nAnswer: -35078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) - 16\/((-88)\/11 - -14)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 8242.\nAnswer: 41210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 560428 divided by -517\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 2, q: 2}. Give prob of sequence qq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -2*x**6\/9 - 2*x**5\/3 + 10*x**3\/9 + 2*x**2\/3 + 11. Determine f, given that p(f) = 0.\nAnswer: -2, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 6:39 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -0.65.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -158435.\nAnswer: -158435.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -1 (c) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by 145097?\nAnswer: -61\/145097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6154334*x**4 - 37*x**3 - 13*x**2 + 28266842 wrt x?\nAnswer: -147704016*x - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(156\/(-24) + 6). Let h(q) = -89*q + 44*q + a + 46*q. Calculate h(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 1 = 2*o, 4*o + 8 = 4*r - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 142, 204, 302, 436, 606?\n\"Answer: 18*h**2 + 8*h + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 + 1113*m**2 + 993744*m + 106012224.\nAnswer: (m + 123)*(m + 1608)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.93068092 to two dps.\nAnswer: -6.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 = -2*y + 1, 5*k - 2*y - 15 = 0. Let v be -9 - -10 - k*7. What is the units digit of ((-38)\/v)\/((-1)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -475*p. Let l(w) = -157758*w**2. What is l(y(b))?\nAnswer: -35594148750*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/15)*r*r*r)\/r**20*(r*r\/r**(-7))**19 assuming r is positive.\nAnswer: r**(2329\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and -16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*3 + -5 + 5 + sqrt(13) + (sqrt(13)*-2 - sqrt(13)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.097 (b) 0.09 (c) -4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176933.\nAnswer: 176933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/(63\/(-4158)*209)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*6*(-18)\/540*1\/(-46).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -152*p + 17048 + 16696. Calculate the remainder when 4432 is divided by p.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -45. Solve -w = 3*h, -5*v - h = -0*h + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14332.287 seconds to minutes.\nAnswer: 238.87145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875 = 3*y - 2*w - 3*w, -y + 2*w = -292. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10\/63 = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 7*j - 3. Let z be u(7). What is the units digit of z\/(6*3\/(-114))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.3 (c) -0.065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1719816 and -43\/29652.\nAnswer: 1719816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.4, 7, -2\/21, 49, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2981 + -2945. What is the greatest common divisor of z and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 5. Let w = l - 3. Let y = -11.2 - w. Which is the second smallest value? (a) y (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (5 + 9)) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1374 = -3771. Calculate the highest common factor of k and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 8*i**4 + 1796*i**3 - 932*i**2 - 7184*i + 3600 = 0.\nAnswer: -225, -2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 52, 3, -6 in descending order.\nAnswer: 52, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, t: 1, d: 1, y: 2, f: 2, h: 2}. What is prob of picking 1 o and 1 f?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 6. Let r(d) = 2*d**2 - 7. Give 2*r(b) - 3*x(b).\nAnswer: -2*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (2 - 3 - -6). Suppose -5*z + 14 = 2*p, 4*p + 6 = -2*z + 2. Suppose -14 = -2*m - z. Solve -14 = k*n - m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lullulul.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-4)**2*2 + (-5*(sqrt(448)\/sqrt(8))\/sqrt(8))**2.\nAnswer: 14511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -9*c + 123. What is the remainder when 43 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009260167 rounded to five decimal places?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 1162 + 1148 = 0. Which is smaller: k or 287?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32654775800 to the nearest 1000000.\nAnswer: -32655000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 - 3.097. Let a = n - 21.003. Let l = -21.1 - a. What is the closest to l in 0.4, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -4 (c) 278 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (3 - 21) - -10. Sort -5, -3, 1, -1, g in decreasing order.\nAnswer: g, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11897 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3591 and 1134?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.12843*-44\nAnswer: 5.65092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12411 + 12411 + 128*h**2)*(2 + 3 - 7)*(-2 + 2 - 1).\nAnswer: 256*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5704619 - 0.3?\nAnswer: -5704619.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126613839?\nAnswer: 3, 11, 419, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {c: 2, m: 7, x: 7, b: 1}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 68, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*-2*-1*sqrt(136))\/(sqrt(24)\/(sqrt(363) + sqrt(363) + (-1*sqrt(363) - sqrt(363)) + sqrt(363))).\nAnswer: -2 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -1. Let w be (-2 - 0)\/(2\/(-12)). Let v = w - i. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 945 = 81. Suppose 0 = -4*k - 16, -5*x + r = -4*k - 360. Calculate the remainder when x is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 801035*r**5 + 8*r**2 - 42666 wrt r.\nAnswer: 48062100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11825\/7 at least as big as 1689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 8*f + 24. Suppose 0*b - 20 = -2*b. Let z be d(b). Let y(i) = -i + 1. What is y(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d - 11. Let k be f(-9). Let n = k + -847\/8. Which is the nearest to -2\/3? (a) n (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-99)\/22*(-2)\/3. Solve -8 + 2 = -p*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 17. Let b = f - -16. Suppose 0*z = -8*z + 16. Solve -z = b*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 179 = 33*f + 63 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 2*t - 18*t + (-2*t + 3*t - 2*t)*(-4 + 5 + 5) - 2*t + 0 + 0 to z + p*t and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10 + 1)\/((-602)\/215).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 32*p**2 + 5*p - 9. Let q be y(-6). Let j be (-2)\/4 - q\/14. Let g = 83 + j. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - 5*a**2 + 5*a**2 + 6*a**2 + 211*a as x*a + i*a**2 + l and give x.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2242*y - 784691. Determine p(350).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 1:36 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(28)\/sqrt(4) + sqrt(315)\/sqrt(5))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(4 - 4 - -3). Suppose 2*l - 4 = 0, -6 = t*i + 2*l - 5*l. Suppose -5*o - 5*d + 455 = i, -o = 2*o - 5*d - 289. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488077.821 minutes in weeks?\nAnswer: 48.42041875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10351275 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45051315 (base 6) to base 7.\nAnswer: 14362355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924572124.\nAnswer: 2, 3, 7, 23, 53173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110112101110 (base 3) in base 16?\nAnswer: 3c39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 53.8?\nAnswer: -161.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308926699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.5 + -10. Let q = 1.4 - u. Let c = -0.4 + q. What is the closest to 1 in -5, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.024255 times -22\nAnswer: -44.53361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + x + 3*x + 2*x.\nAnswer: 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (26\/8)\/(76037\/(-11698))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*u + 7786*l - 10773*u with respect to l.\nAnswer: -u + 7786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 10376019*m**2 - 10376019*m**2 - 51*m**3.\nAnswer: -51*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1800*v**3\/13 + 528960*v**2 + 8708042*v\/13 + 2757318\/13 = 0.\nAnswer: -3819, -19\/30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose 3*o - 298 = q - n*q, 20 = -4*q. Suppose -o = -4*t + 3*j, -t - 2*j - 4 + 21 = 0. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/110*830\/(-166).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) 12 (c) -0.41 (d) 3 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*m + 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*h - 2322 = -21517 - 6535 - 7942 for h.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101114 is divided by 4213.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - m + m + (-5*m + 2*m + 2*m)*(0*m**3 - 3*m**3 + 4*m**3) - 3*m**4 + 3*m**4 + 10*m**4.\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 217082?\nAnswer: 1519574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - w = -1149, -3*f - 3*w + 603 = -270. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 11 = -3*q, 0 = -2*m - 0*m + 10. Factor f**q - 2*f**5 + f**5 + 0*f + 0*f.\nAnswer: -f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59814641 rounded to the nearest 10000?\nAnswer: -59810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00403278 to 5 dps.\nAnswer: 0.00403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*y + 1 = 0, 2*k - 8*y + 3*y = -4. Let x be (-4 + k)\/((-2)\/8410). Suppose -x = 8*h - 13*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1195*c**4 + 35560*c**3 - 242040*c**2 + 503200*c - 341840.\nAnswer: 5*(c - 2)**3*(239*c + 8546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*o = 2*o - 24, 0 = 2*v + 3*o - 17. Calculate the highest common divisor of v and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 - -270. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c**(-2\/9))\/((c*(c\/(c**(-1)*c)*c)\/c*c*c)\/c**5) assuming c is positive.\nAnswer: c**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12041008 is divided by 6020478.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 7:18 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -0.5, -14, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*p - 32. Let m(o) = o**2 - 8*o - 8. Let c be m(9). Suppose -5*i = -9 - c. Is p >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1.3. Which is the third smallest value? (a) -14 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 956*z + 304010. Determine s(-318).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4441 = -184*v + 1681 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odnpoooogdngpndgpnp. What is prob of sequence dooo?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-6))\/(((-36)\/16)\/(51\/(-85)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48456.032 - 48107. Let s = l - 352. Round s to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -760 + 760 + 46*z + (5*z + z - 5*z)*(1 + 3 - 2) in the form c + x*z and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -49440.58 rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/444 and -61\/183039.\nAnswer: 732156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5005.073 kilometers?\nAnswer: 5005073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8*u. Suppose u = -2*n - n + 9. Suppose -n*i + 11 + 1 = 0. What is the highest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/10*4\/3. Let l = 2 + y. Suppose j**l + j**3 - 2*j**3 + 0*j**4 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -460 + 27?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7335134758\/605 + -12124193. Let t = 10\/121 - y. Calculate the common denominator of -43\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 606.\nAnswer: 1\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802*6\/(-72)*-6.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + sqrt(360)\/sqrt(5) - sqrt(2)) + -4)*-2)**2 - ((sqrt(72) + 0 - sqrt(72)) + ((sqrt(2) + 0)*-5)**2).\nAnswer: -192*sqrt(2) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 + 12*h**3 + 6*h**2 - 12*h - 9 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by -104?\nAnswer: -83\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 1, u: 1, v: 2, r: 7, q: 4}. What is prob of picking 1 q, 1 l, 1 u, and 1 r?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29182806\/83 - 703199\/2. Calculate the common denominator of z and (0 - 190\/(-16)) + 0.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -1235.\nAnswer: -8645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 57. Suppose 5*s + 20 = 4*s + 4*c, -4*s - 10 = -h*c. Suppose -3*a = -s*a + 5*u - 4, -a = u. Put -1\/7, -6, a in decreasing order.\nAnswer: -1\/7, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 2759*g\/3 + 5516\/3.\nAnswer: (g + 2)*(g + 5516)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5411 is divided by 206?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 10*w - 182. Let i be g(0). What is the smallest common multiple of i\/39*(-6)\/2 and 94?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3106 is divided by 3094?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -47, -98, -169, -260?\n\"Answer: -10*f**2 - f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44412 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97155 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 9*y**2 - y - 6. Calculate t(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.72 + -176.28. Let a = b + 177.998932. What is a rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008224 rounded to seven decimal places?\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(-1*sqrt(1000)))\/(-2*sqrt(484)*-2).\nAnswer: -sqrt(3)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 1\/4, 2\/17, 4, 11\/26 in descending order.\nAnswer: 4, 11\/26, 1\/4, 2\/17, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + 0 - p + 3 - p)*(7*p + p - 4*p) to the form m*p + y*p**2 + u*p**3 + n and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 + -158.2. Let x = 31 - q. Round x to zero decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 11599192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 3 + 29*r**2 - 8.\nAnswer: 29*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 2*c**2 + 3*c**2 + (19 - 11 - 17)*(c**2 - 14*c**2 + 5*c**2))*(14*c**3 + 9*c**3 - 27*c**3).\nAnswer: -292*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26061 + -26066. Sort f, 2, 1, 5, -8 in decreasing order.\nAnswer: 5, 2, 1, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1536*l**5 - l**2 + 682*l.\nAnswer: 92160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, g: 6, t: 1, c: 6}. Give prob of picking 2 g and 2 c.\nAnswer: 75\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 361 - 428?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*b = 12, -j - 22 + 15 = 2*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 31 = 3*r, 2*l - l + 3*r = 4. What is the least common multiple of 8 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7909 in -1\/6, -6, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-2 + sqrt(468))\/sqrt(12))\/sqrt(3).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 11. Let x = -17.36 - y. Let i = x - -2.06. What is i rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 605\/(-3270) + (-7)\/(-42). Let s = 119\/545 + m. What is the second smallest value in 3\/5, s, 0.06, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = 6, 3*x - 42 = -2*j. Let s = 12 - x. Find the first derivative of 3*u - u + 13*u - 8 + s*u wrt u.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, q: 6, b: 3, i: 2, d: 2}. Give prob of picking 2 d and 2 o.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + s**2 - 27*s - 114*s + 136 - 266 + 127 to i + c*s + q*s**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 19*q**4 + 7*q**2 - 166*q. Let g(d) = -20*d**4 - 8*d**2 + 166*d. Let t(r) = -4*g(r) - 5*y(r). What is the second derivative of t(n) wrt n?\nAnswer: -180*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634804773 divided by -3\nAnswer: 211601591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 370521.67 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-3))\/(-6)*-6)\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.951 - -0.92822. Round h to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2*-2)\/(1354\/(-5416))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (264\/(-20))\/(7\/35). What is the common denominator of -113\/12 and ((-558)\/320)\/(f\/55)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 + 163. What is the hundreds digit of (f - 12\/(-3))*771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1052*f - 2287. Give a(-2).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7*6\/(-42)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68908, 68964, 69020, 69076?\n\"Answer: 56*k + 68852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 430*t**4 + 2 - 7*t - 434*t**4 + 6*t + 0 - 115*t**2 - t as d*t**3 + r*t**2 + b*t + a*t**4 + g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/(-14) + -3)*1. Let w = -115.8 + 116. Which is the biggest value? (a) 3 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by (-213)\/(-3) + 385\/(-35).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2188708738?\nAnswer: 2, 15101, 72469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -4 (c) 5345073 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10416 - -8437. Are m and -1981 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*m - 259*m**3 + 129*m**3 - 2*m**2 + 1 + 6*m**2 + m**4 + 129*m**3 to t + q*m**2 + f*m**3 + h*m + k*m**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5218 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 55 = -3*j + 2*t, 5*t - 44 = -2*j. Let f be 10 + -13*(-6 - 5). Calculate the greatest common factor of f and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 211*x**2 - 14*x**2 + 0*x - 33*x**2)*(4 + 76*x**2 - 4).\nAnswer: 12464*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -689\/48 - 53\/16. Let t = r + 18. Let i = -3\/49 + -31\/294. Sort 2, t, i in decreasing order.\nAnswer: 2, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(2*(-6)\/8). Suppose -9 = -g + p. Calculate the remainder when g is divided by ((-58)\/(-435))\/((-1)\/(-9))*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let j(o) = 2*o. Let l(k) = k**3 - 6*k**2 + 7*k - 6. Let p be l(5). Let b(c) = p*v(c) - 3*j(c). Let a(s) = 3*s. Give b(a(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 + 2*s - 2*s)*(4*s**2 - s**2 - s**2) - 132*s**4 - 67*s**4 - 178*s**4 to the form r*s**2 + b + a*s + x*s**3 + z*s**4 and give z.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {t: 1, m: 3, v: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1740a + -11c2?\nAnswer: -185cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/210 + l**4\/12 - 2*l**3\/7 - 185*l**2. Factor n(v).\nAnswer: -2*(v - 6)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10651*d - 19622449 - 126*d + 19622449 as l*d + n and give l.\nAnswer: 10525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18\/7 - 184\/77. Let g be (-2)\/(36\/1)*4. Put g, v, 0.2 in descending order.\nAnswer: 0.2, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157883 and 682?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*l + 9 = 0, -c - 114741 = -7*l - 114750 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 37. Let j(y) = y**2 + y + 1. Let s(u) = -21*u**2 - 12*u - 21. Let t(f) = k*j(f) + s(f). Factor t(q).\nAnswer: -3*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -34 + 14 + 56*z + 19. Let t(k) = -29*k**2. Give t(j(w)).\nAnswer: -90944*w**2 + 3248*w - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 2\/3 (c) -9 (d) 3 (e) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-89 - -176 - 61) + -13 + 2 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*l + 3, 18*l + 28*l - 1 = 45*l - 3*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10802.9783 rounded to the nearest 10?\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 196810091?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 divided by 44.\nAnswer: 113\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 12*v**2 + 98*v + 85. Let p be i(-23). Calculate the highest common factor of 219 and p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 93 = 3*r + 8, -s - 5 = 0. Let u be -2*(5 + (-11)\/((-22)\/(-12))). Suppose u*d + 4 = 20. What is the least common multiple of r and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 1919?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:13 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + m**2 - 2*m**2. Let d(o) = 2*o**2 - 5. Let c(v) = -3*v**2 + 6. Let t be (3\/2)\/((-2)\/(-8)). Let n(y) = t*d(y) + 5*c(y). Give n(g(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -105.8\nAnswer: -423.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2 - 3) + 1)\/(2 - 4). Suppose p = 4, -3*i + 6*p + 8273 = l*p. Suppose -1192 = -5*g + i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-740)\/1332)\/((-15)\/333)*-3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12838732, -12838736, -12838750, -12838780, -12838832, -12838912, -12839026, -12839180?\n\"Answer: -n**3 + n**2 - 12838732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6442828*i + 3*i**2 + 826*i**3 - 6442828*i + 1 - 2*i**2 to f*i**3 + t*i + b*i**2 + x and give f.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 78243\/27 - (-5)\/45. Suppose k + 5*j + 1 = 0, -2*k = k + 5*j + 33. What is the units digit of h\/112 + (-2)\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 4*j - 2. Let w be u(5). Suppose -w*i - 1 = -b - 0*i, -2*i + 25 = 3*b. What is the remainder when b is divided by 1 + ((-2)\/10)\/(3\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -72989.7975 and 8603?\nAnswer: 81592.7975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*i**4 + i**2 + 5*i**2 - 9*i**4 - 33*i**2 wrt i.\nAnswer: -504*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 19 = -3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14094.8, -394, 5\/4?\nAnswer: 14094.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -452.82649789 plus 3?\nAnswer: -449.82649789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9952 + 10912. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**3 + 2*f**2*n - 521*f + 22959*n - 2 wrt f.\nAnswer: 9*f**2 + 4*f*n - 521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + 84\/56. What is the first derivative of y + 20*j - 9 + 9 wrt j?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -17.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghh when three letters picked without replacement from hhhhhhhhhhhhhhhhgh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/66064159 and 21\/305?\nAnswer: 330320795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*v + 74244, 4*y = 10*v - 8*v + 148470. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 12 - 2) + -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/10 - 2*x**4\/3 + x**3\/2 + x**2\/2 - 3*x. Is i(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 2880*u + 667968.\nAnswer: 3*(u + 392)*(u + 568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 870 - 870. What is the nearest to u in -0.2, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**6\/15 - 46*h**5\/5 + 57*h**4\/5 + 1133. Determine x, given that s(x) = 0.\nAnswer: 0, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.30039804 to 3 decimal places.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 127 + -60 + (-11 + 10 - 8)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(304) + sqrt(304) + -1 + -1 + (sqrt(304) - (sqrt(304)*-1)**2).\nAnswer: -308 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11, 27, 57, 107, 183?\n\"Answer: z**3 + z**2 + 6*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14482349 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519*y - 62021 = 70589 + 25366 for y.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-140)*2)\/((-4)\/(-10))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 3*u**2 + u**2)*(-3*u**3 - u**3 + 0*u**3) + 20489*u - 20489*u - 678*u**5.\nAnswer: -674*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, c: 9}. What is prob of picking 2 y?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*h - 117*h - 77*h + 90 - 7*h + 7*h wrt h?\nAnswer: -171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 326 = 5*o - 293, 375 = 3*o - 3*b. What are the prime factors of o?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165312666 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-5))\/((-1)\/(-5)). Let u = 13 + -11. Let a(t) = 0*t**u + t + 8*t**2 - t**3 + 0*t**3 - 2*t**2. Calculate a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/((-6)\/(-4)) - 17)*-5. Let w = u - 71. Solve -6 = -5*a + w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**3 - 210576*l**2 - 209*l + 147465969 wrt l?\nAnswer: -6*l**2 - 421152*l - 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -16. Which is the second biggest value? (a) 1 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1616*a = -1620*a - y - 14, -3*a = -y + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5348, -5346, -5336, -5312, -5268?\nAnswer: -5198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000 (base 2) to base 9.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7 = -1. Let h be 0*3\/6 - q. Let j(z) = 74*z**3 + 2*z**2 - 2*z + 4. Let t be j(h). Round t to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 4*x**2 + 5*x. Let n(f) be the second derivative of -3*f**5\/20 - f**4\/2 + 7*f**3\/6 + f + 9. Give -7*i(o) + 5*n(o).\nAnswer: -o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/6152 + 745813\/55368. Let z = 53\/4 - n. Which is the closest to -0.1? (a) -0.1 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -295, -3, 1, 0, 2, 3.\nAnswer: -295, -3, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12454.\nAnswer: 2, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 932370*x + 72442818075.\nAnswer: 3*(x + 155395)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18271, -36519, -54769, -73021?\n\"Answer: -q**2 - 18245*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvtvbit. What is prob of sequence vbt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-50)\/(-16) - 3). Let d = 22 + u. Put d, -1, 4 in decreasing order.\nAnswer: d, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1121213000 (base 4) to base 7\nAnswer: -3056042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -92, -350, -860, -1706?\n\"Answer: -14*k**3 + 8*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 10 - 21 - g**2 in the form r*g**2 + z*g + c and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (0 - (2 - (1 + (-6 - 6))))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(5)*1)**2 + (sqrt(40)\/sqrt(2))\/sqrt(4)).\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13767, 27535, 41303, 55071, 68839?\n\"Answer: 13768*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 221563, 443126, 664689, 886252, 1107815?\n\"Answer: 221563*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6812339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**7\/15 - 16*a**6\/75 - 166*a**5\/25 + 391*a**4\/15 - 539*a**3\/15 + 98*a**2\/5 - 36*a. Let x(u) = 0. What is u?\nAnswer: -7, 2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -3774?\nAnswer: 3775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 16790.0323 to the nearest ten.\nAnswer: 16790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -558*(24\/(-9) + 2)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let a(d) = -d**2 + 2*d. Let f be a(3). Let u(i) = 4073 + 1978 - i - 6051. Determine f*b(w) - 6*u(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Sort 0.1, 3\/4, u in descending order.\nAnswer: u, 3\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from mmmkmmkmmkmmkkmmkm.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 35 = -v. Let g(d) = -d**2 + 11*d + 5. Let s be g(11). Is s at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 30. Let s = x - 5. Which is the closest to s? (a) 0.1 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*u**2 - u**2 + 0*u**2 - 4*u**2 to t*u**2 + y*u + f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 28 = 14. Let j(r) = r**2 - 5. Let h be j(0). Let w = 0 + -1. Sort w, z, h in increasing order.\nAnswer: h, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 4. Let f be r(2). Suppose -p = -5*h + f, 2*p - 5*p + 8 = -2*h. Let q = -2 - -3. What is the nearest to -2\/7 in -0.1, h, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - l**3 + 2*l**3 - 11*l**3 - 8*l**3 + 9*l**3 + (-2*l**2 + 2*l - 2*l)*(1 - 1 - l) - l**3 - l + l.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 144477995 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-3))\/(-1) - ((-360)\/(-15))\/(-8). Suppose 2*g = -10, o = -6*g + 3*g + 1182. Suppose z*h + 4*h - o = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-3)\/1)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + -1) - (43 + -36 + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -21. Suppose 0 = 2*c - x. Suppose 5*m - c = 9. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90.7 - -67. Let b = n - -23. What is the closest to b in 4, -0.1, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13731 divided by -383?\nAnswer: -13731\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*((1*sqrt(320)*5 + 5 - sqrt(320)*1*4*4) + -4).\nAnswer: -1056*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131110231 + 2?\nAnswer: 131110233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -453*j**6 - 551*j**6 + 362*j**2 - 162*j**6 wrt j.\nAnswer: -139920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12815951?\nAnswer: 127, 100913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5958032 to the power of 1\/2, to the nearest integer?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 316*d + 40438 - 40438 to m + p*d and give p.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m - 3*j = 110, 102 = 2*m - 5*j. What is the remainder when m is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + ((-1152)\/45)\/(-8)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*z + 5, -48*z + 49*z - 11 = -5*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-13)\/l))\/l*l)**(10\/3)*(l**(-1\/11))**35 assuming l is positive.\nAnswer: l**(515\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162203146?\nAnswer: 2, 7, 263, 44053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 7*h**2 + 4. Let y be r(3). Let f(s) = -s**2 + 5 - y*s + 30*s + 2. Let o be f(-10). What is the highest common factor of o and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - t**2 + 4. Let d be n(0). Let y = -0.2 + 1.2. Let z = y - 6. Which is the closest to 1\/4? (a) d (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42944*a**2 + 31821*a?\nAnswer: 85888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.1413 decades in years?\nAnswer: 1501.413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 15 + 5. Which is the closest to q? (a) 1\/2 (b) -1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 5*q**2 - 4*q - 6. Give t(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66.2 * -142.7\nAnswer: -9446.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 13*n - 16. Let d be ((-9)\/n)\/(-3)*70\/(-105). Which is the closest to -1? (a) d (b) -0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 z, and 1 f when three letters picked without replacement from hibbzfj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 521, 1182, 2471, 4598, 7773, 12206, 18107?\nAnswer: 25686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 17*m - 64. Let i be x(12). Let w(b) = b**3 + 6*b**2 - b + 5. Determine w(i).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11624*d*t + 112*d - 407990354*t wrt d.\nAnswer: 11624*t + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 6*o**2 + 7 - 5 - 3 + 2*o**3 in the form j*o**3 + s + l*o + m*o**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 6, -0.1, -2342 in increasing order.\nAnswer: -2342, -0.1, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 0.1236?\nAnswer: 0.1236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.138046 and 1.659?\nAnswer: 1.520954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1080 - -12?\nAnswer: -106e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 4 (c) -3\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -0*m. Let y = -6.1 - -6. Let v = 0.1 + y. Sort m, v, -3 in increasing order.\nAnswer: -3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - 26.2. Let k = -25.95 - o. What is k rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1760 by -1716.\nAnswer: 40\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -652, -979, -1306, -1633, -1960?\nAnswer: -2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 34, 21\/4, -1.2 in decreasing order.\nAnswer: 34, 7, 21\/4, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.081 - 142.899. Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 0)*(2*m - m + m - 6*m + 2*m + 3*m + (-4 + 4 + 2*m)*(4 - 4 + 1) - 6*m + 3*m + 2*m + (-m + m - 5*m)*(-3 + 0 + 6) + 0 + 0 + 2*m).\nAnswer: 77*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 211557*c**2 - 11188773720*c - 33568225200.\nAnswer: -(c - 105780)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/3 - 130072*t**3\/3 + 4938327*t**2 + 30020182*t\/3 + 15075128\/3 = 0?\nAnswer: -1, 116, 129958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*s + 782*s - 10033 = 290*s for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-7))\/(23\/23)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 7, b: 1, d: 2, r: 8}. Give prob of sequence dhh.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 - 1.5. Let b = -7 + d. Sort b, 5, 1\/5.\nAnswer: b, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4166 and 6.\nAnswer: 12498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-18\/11)\/(k**(-11)\/k))\/(k*(k\/(k*k**(-1\/4)))\/k)**(-20\/3) assuming k is positive.\nAnswer: k**(397\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -12 + 72 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3102 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 344, -0.4, -0.1, -0.011, -0.3?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -714*h + 19. Is v(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 13*d + 5431684 = -o, -5431680 = -5*d + 5*o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4753?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1 + 3 + -5. Let g(r) = -r**2 - 23*r - 24. Let b be g(-15). Is ((-34)\/l + -4)*b\/9 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*h + 4*h + 0*h)*(73*h**2 + 20*h**2 + 37*h**2) in the form b + n*h**2 + g*h**3 + c*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -89. Let j be 7\/23 + (-4)\/(16 - w). Let d = j + -7\/23. What is the third smallest value in 0.4, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188189 by 5.\nAnswer: -188189\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 124.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-48)*34 - (-1)\/(-4). Suppose 0 = -4*n + 2*p - 70, 5*p = -4*n - 0*p - 49. Let w be 6\/(-9)*(-6)\/n. Which is the biggest value? (a) t (b) w (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -1, -5.\nAnswer: -9, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2. Suppose -2*c - m + 4 = -5*c, -2*c + 4 = -4*m. Let j(h) = -h - 3. Let s(k) = 2. Let g(p) = c*j(p) - 3*s(p). What is r(g(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 2*g - 1. Let k(d) = d**2 + 2*d - 1. Let f = -22 - -36. Let z be (0 + -2)*f\/(-4). Give z*a(w) - 6*k(w).\nAnswer: w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1244 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3056.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - s - 83549 + 83549.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 6. Let g be (-1)\/(2 - 1)*3. Let t = u + g. What is the third biggest value in t, -0.3, 1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.7 (c) 1 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*n - 13. Let j be (-27)\/(-15)*20\/6. Which is greater: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -279 + 559 - 280 + 101*l**2 - 37*l**2 - 67*l**5 wrt l?\nAnswer: -4020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51.78174t?\nAnswer: 51781740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {q: 6, v: 5, a: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6666 = -526*b + 2971 + 2461 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 - 0.3. Let m = 1 - v. Let f = 29\/4 - 269\/36. Which is the second biggest value? (a) f (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -28. Factor o*j + j**2 - j + 0*j**2.\nAnswer: j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 136 + 118 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 879?\nAnswer: 11427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -3001, 723?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -3 (c) -0.1 (d) -18 (e) 0.3 (f) -4 (g) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19074 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {f: 3, h: 8, b: 4, n: 3, g: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -33, -43, -53, -63?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2297 - 7071 = 969*v + 2260 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1422?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 10) to base 3\nAnswer: 11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1308 - 867 - 117327*y**2 + 119427*y**2 wrt y?\nAnswer: 4200*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*j*q**2 + 597*j*q - 6*j + q**2 + 10*q - 89507 wrt q?\nAnswer: -12*j*q + 597*j + 2*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**8\/6720 - k**7\/504 + k**6\/90 - k**5\/60 + k**4\/8 - k**2. Let r(t) be the second derivative of m(t). What is r(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**9*z*z**(1\/3)*z**(-3\/2)*z**(1\/5) assuming z is positive.\nAnswer: z**(271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 16*r**2 + 20*r + 51. Let l be h(-17). Suppose l = -3*n, 5*n = 2*d + 8*n + 6. Let t be 8\/(-6) - 2\/(-6). Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 3*k. Let j(z) = 4*z**2 - 11*z. Let x(t) = 22*h(t) - 6*j(t). Let d(m) be the second derivative of m**3 - m. What is x(d(p))?\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -72*n - 175. Let q be z(10). Which is smaller: -896 or q?\nAnswer: -896","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3790 (base 14) to base 4.\nAnswer: -2120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 4*b**2 + 5*b - 3. Let k be r(3). Suppose 3 = -k*n - 0. Is 249*n\/9*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 15*h**2 + 13*h - 13. What is the units digit of d(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941567 is divided by 1081.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/120 + d**5\/20 - d**4\/48 - d**3\/4 - 64*d. Factor o(u).\nAnswer: -u*(u - 3)*(u - 2)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 - 74*f + 166. Give q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.08 + -3. Let l = -5.4 + 10.48. Let a = l - f. What is the second biggest value in a, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, g: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 12) to base 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1649*p + 2475 + 10180 = 2761 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 13 = s. Suppose -6*g = -11*g + s. Let d(c) be the first derivative of -c**3\/3 + 5*c**2\/2 + c - 1. Determine d(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 7\/24*a**4 - 1\/60*a**5 + 0*a + 0 - 2*a**2 - 1\/3*a**3. Let p be c(6). Solve 0*o + p*o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from axxt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -5 + 9 + (627 - 630)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.9. Let w = -1\/44 - -91\/132. Let z = w + -1\/3. Are z and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 180\/2543?\nAnswer: 180\/2543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 337.\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 2*c**4\/3 + c. Let p(n) = 3*n + 4207 - 2103 - 2104. Determine p(j(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*l - 825763 = 5560211. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -504\/5*q**3 - 15 - 126*q - 48\/5*q**4 - 1443\/5*q**2.\nAnswer: -3*(q + 5)**2*(4*q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 862411, 862354, 862297?\n\"Answer: -57*x + 862468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 125 and -0.406859?\nAnswer: -50.857375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -208592, -417188, -625792, -834410, -1043048, -1251712, -1460408, -1669142?\n\"Answer: -y**3 + 2*y**2 - 208595*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 10925*b + 2494170.\nAnswer: 5*(b + 259)*(b + 1926)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 79. What is the remainder when 32 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809637024 to the power of 1\/4, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17151 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/((-4)\/(-24)). Let b = -64 + 64. Solve b = -q + p*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19927 + 4463625\/224. What is the common denominator of 101\/144 and m?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -405*h**3 - 405*h**3 + 540*h**3 - h**3 + 4*h**3 - h**3 + (0 - 2*h + 0)*((-3*h + h + 0*h)*(0 + 0 + 2*h) - 1075*h + 1075*h - 12*h**2).\nAnswer: -236*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 = -3*t, 3*w + 9 + 16 = 5*t. Suppose -u - 37 = 5*h - 140, 5*h = 3*u - 389. Suppose -u = -i - t*i. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o + 398. Is c(-30) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 + 2\/(-6). Let d(u) = -144*u - 63. Let l(w) = 9*w + 4. Let q(v) = 4*d(v) + 63*l(v). Does 3 divide q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -35*b**3 - 28*b + 28. Let c(s) = 4*s**3 + 5*s**2 + 23*s - 3. Let p(r) = r**2 + 4*r. Let o(y) = -c(y) + 5*p(y). Give -3*d(n) + 28*o(n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**6 - 37*m**5\/20 + 26*m**3\/3 - 31*m**2\/2 + 1938*m. Find the second derivative of v(b) wrt b.\nAnswer: 360*b**2 - 222*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1685 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11841778 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*j - 47 = 0, -5*s - 2*j - 175 = -3*j. Find the common denominator of -115\/6 and ((-852)\/s)\/((-32)\/6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04074 * -7597\nAnswer: 309.50178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q**4 + 21*q**5 - q**2 + 10*q**3 - q**2 + 12*q**4 - 15*q**5 = 0. Calculate q.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 879 - 76. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4) + (-39)\/26)*3. Let m(i) = 2*i**2 + 1. Let g be m(1). Calculate the least common multiple of 7 - (2 - (g + k)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1570 + 1570.52. Let r = 0.25 + -0.97. Let v = r + n. What is the biggest value in -3\/7, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**3 + 5*h**3 + 2*h**3)*(2 - 1 - 2) + 8 - 8*h**3 - 10 + 6.\nAnswer: -10*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 63\/2, -49, -2\/3519, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -23)\/((-14)\/7). Let m = i + 16. Suppose y = -m*c + 12, -3*y - 6 + 32 = 5*c. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*2 + sqrt(189))\/sqrt(3))\/((sqrt(99)*1 + sqrt(99) - sqrt(99))\/sqrt(11)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(-1 - 2 + 5) + 0 + 3 - 2 + (0 - 1 + 2)*(-14 - 18 + 3))*(-5*j + 4*j + 6*j).\nAnswer: -130*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1345965 + 1345965 - 1296*z**3.\nAnswer: -1296*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 36799494 to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -622\/33, 2, 1\/4, -0.5, -3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44 * -16117\nAnswer: -709148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 107099 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppjp when four letters picked without replacement from jnnjjnnnjpnpp?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 11 + 25 + p - 14.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115425 and 8208.\nAnswer: 1846800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*i = -13, -2 = -i - 0. Suppose 28 - o = 5*c. Let d(x) = -5*x + 1. Let q(h) = h - 1. Let k(r) = d(r) + 4*q(r). Determine k(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(-1)*(-100)\/25.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -282500 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + (sqrt(99) - (-6*(sqrt(99)*3 - sqrt(99)) + sqrt(99)))) - (sqrt(99) + -4*sqrt(99)*-1))\/(-4*-2*sqrt(576)*2).\nAnswer: -17*sqrt(11)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 1, 0.2, -220\/7, 0.11, 1\/48.\nAnswer: -220\/7, 1\/48, 0.11, 0.2, 1, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3126, 3051, 2926, 2751, 2526?\n\"Answer: -25*h**2 + 3151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 514 + -565. Are b and 0.03 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m + 5. Is z(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(153) - ((sqrt(153) - sqrt(153)*1) + sqrt(153)))*5 - sqrt(153)*1*-6))\/(2*-2*sqrt(9) + sqrt(216)\/sqrt(6)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 1.9. Let k = u - 1.3. What is the smallest value in 5, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*t + 22, 10*h + 16*t = 20*t - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/24)\/((-6)\/((-36)\/6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -617\/4, 1\/4, 0.6, -3 in descending order.\nAnswer: 0.6, 1\/4, -0.3, -3, -617\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1) - (-1 - -1). Let p = 1809 + -1811. List the prime factors of -11*(p + 3)*n\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 32. Suppose g*f - 5*f = -400. Let h be (f\/(-12))\/(-5)*(-1686 - 0). What is h rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1148*k + 1144*k - 4 + 4 - 2293*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-4400)\/375 - (-2)\/15.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (9 - (15 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 3*c + 2. Let o be u(-3). Suppose s - o*l = 11, 2 = -5*l + 22. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705.8065l to millilitres.\nAnswer: 705806.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:37 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -j + 13, j - 5*o = -5 - 10. Suppose -20 = -l + 2*u + 43, -5*l + j*u + 295 = 0. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 + r**3 + 1652211 - 826108 - 826103.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(198)*2)\/sqrt(11))\/((sqrt(60)*4)\/sqrt(10)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 - 2*p)*(-1 + 2*p + 1) - 2*p**2 + 0*p**2 + 3*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -24*v + 25*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f + 2*t = -14, 3*t + 6 = -3*f. Solve 0 = -3*r + 2*y - y + 8, -4 = -2*r + f*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -62.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -3.856371.\nAnswer: 11.569113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 7704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7d8 + 187?\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11) + sqrt(77)\/sqrt(7) - sqrt(11))*-2 + -1)*5.\nAnswer: -10*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 3*o**2 - 110*o - 668. Determine s(-7).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) - (-321)\/(-9). Let t be b\/(-8) - (-1)\/(-2). Solve -t = 2*x, -5*s + 3*x = -0 - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*w**2 + 20446*w + 1 + 20493*w - 40873*w + (w - w - 2*w**2)*(2 + 0 - 4) + w**2 - 5*w**2 + 2*w**2.\nAnswer: 22*w**2 + 66*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11403 and 69685?\nAnswer: 627165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 17*m**3 - 2*m**2 + m + 1. What is d(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 16*o**2 + 9552*o + 38408. Calculate i(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1284 and 53\/5778.\nAnswer: 11556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/(((-9)\/(-2))\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 93 = -48. Solve -o - o = -a*i - 7, -3*o - 18 = 2*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1689503.5 to the nearest ten thousand.\nAnswer: -1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -69030*b + 273. Let t(g) = 1015*g - 4. Determine -273*t(c) - 4*z(c).\nAnswer: -975*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r - 46*r + 304. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 + -37. Let l = x - -220. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 637506, 2\/47, 1\/4 in increasing order.\nAnswer: 2\/47, 1\/4, 637506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9771 + 175825\/18. What is the common denominator of b and -73\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 6*q**2 - 11*q + 3. Let o be u(8). Let c = o - -1. Calculate the lowest common multiple of 16 and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674 (base 15) in base 12?\nAnswer: 296a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*o + 136 - 67 - 66.\nAnswer: -57*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -33.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 25582960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = -3*n + y, 5*y - 10 = 3*n. Let h(w) = w**2 + 3. Let u be h(n). Solve 3*l + c + u = 0, -5*l - 2 = -3*l - 4*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3, 2\/11, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1655.4 - -1655. What is the second biggest value in -0.1, a, -2\/9, 5, -20\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3086412 divided by -514402\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 5*p + p - 7*p + 24, -5*p = -b + 62 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/((sqrt(48)\/sqrt(3))\/sqrt(8)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 3578680.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 449160 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -107243 less than or equal to -1980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**3 - 15*d**3 - d**2 + 10*d**3 as f*d**2 + p*d**3 + y*d + a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t - 1. Let y be n(0). Let v = 468\/5 + -784\/15. Let x = v + -41. Is x bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69453 + -31796. Suppose 2*j - 2*k - a = 2333, -5*j = 2*k - 100010. Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -f - 3*a + 7, -f = 4*a - 6. Suppose f*r - 5 = 4*x + 13, 5*x = 3*r - 25. Solve -2*q + 3 = g, 0*g - g = r*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-2 - (-3 + -2)). Suppose 3*v + 4*j - 25 = 2*v, -155 = -t*v - 5*j. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (7 - (4 + 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*12\/8)\/(12\/16). Which is the second biggest value? (a) g (b) 17 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:50 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8 + 57513*t**2 - 28753*t**2 + 9 - 28784*t**2.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1697505 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00132879 to five dps.\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11645 - -58222\/5. Let l = -4 + 13\/3. What is the nearest to l in a, 0.3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 5076 (c) -0.34 (d) -2 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 22*p**2 - 3*p - 22. Let i(s) = -2*s**3 - 43*s**2 + 6*s + 43. Let n(t) = -7*h(t) - 4*i(t). What is the tens digit of n(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 540\/(-3213) + (8\/(-68) - 0)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -31*l. Suppose -4*w + 71 = -10*a + 5*a, a - 4*w + 27 = 0. Let b(p) = -7*p. Let k(c) = 13*c. Let n(h) = a*b(h) - 6*k(h). Give u(n(j)).\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 33 - 65 + 32 + 2*r**2. Let b(f) = -40*f. Determine b(q(l)).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by 2\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064589.\nAnswer: 3, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4201133814?\nAnswer: 2, 3, 19, 12284017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 20060 = 77888. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-10.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 42*c**2 - 3*c. Calculate j(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3\/5 (c) 4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-three fifths of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2586208670.4 to the nearest 10000.\nAnswer: 2586210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -116 (b) -2 (c) 926\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k + 63*k = 136. Let r be 1\/(1\/(-1))*2. Let a(i) = i**2 + 2*i + 2. Calculate the smallest common multiple of a(r) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165403068, 165403067, 165403066?\nAnswer: 165403065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8630902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 5*c**2 - 2*c + 5. Let x(h) = h + 7. Let v be x(-11). What is the remainder when 55 is divided by z(v)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0, -1, 3, -33\/4, -7552?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 3*u**2 - 3*u + 3. Suppose 0*z + 32 = -8*z. Let l be j(z). Let k = 6 - 9. Put -5, l, k in descending order.\nAnswer: l, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*h + 76685975, 0 = h - 66 + 61. Round x to the nearest 1000000.\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6567)\/(-27) + (-2)\/9. Suppose 0 = -3*u - 27 + i. Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7171*f - 2392*f + 1 - 2394*f + 134*f**2 - 2391*f.\nAnswer: 134*f**2 - 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 + 143*h**4.\nAnswer: -h**4*(h - 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -11 + 20 - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1304150+-0.09\nAnswer: 1304149.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 10*l**2 - 19*l + 11. What is v(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 - 20*n**2 + n - 56. Give f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 121528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/120 - 11*g**5\/60 + g**4\/6 - 3*g**3\/2 - g**2. Is p(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23244 + -23?\nAnswer: -23322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -24 + 91 - 36*k**2 + 2*k + 2*k**3 - 44 + 2*k - 5*k. Let u be d(18). Solve -5*m + 18 = -3*w + u*w, 0 = m - 3*w - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398 = 770*z + 4992 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 144 = -3*w. Let y(p) = -143*p + 1281. Calculate the remainder when y(8) is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 - 1337*x\/6 + 6138.\nAnswer: -(x - 27)*(x + 1364)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 4*v. Let t(l) = 4*l**2 - 8*l. Let s(x) = 7*j(x) + 3*t(x). Let n be ((-22)\/10 - (-11)\/55)\/2. Let p(g) = -g**2 + g. Calculate n*s(a) + p(a).\nAnswer: a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/(-8)*(-4)\/(-2) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c. Let t(l) = -251 - 73 + 2*l**2 + 16. What is t(s(d))?\nAnswer: 8*d**2 - 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 - 16*l**2 + 2*l**2 - 5*l**2.\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 9071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 567, 1674, 2751, 3798, 4815?\n\"Answer: -15*f**2 + 1152*f - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -12. Suppose -u - c = -0*c, -u = -5*c - v. Suppose -l - u = -9. What is the smallest common multiple of 2 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*q**3 + 49*q**2 - 2*q?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*j - 3, 5*k - 6*j + 2*j = -2. Suppose -k + 0 = -2*m - 4*u, 3*u = 5*m - 18. Solve -4*o - 5 = -m*p, 0 = -2*o + 7*p - 3*p + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 174 or 520\/3?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-345 + 125 + 126)*(6*i - 7*i + 2*i)*(-3 + 3 + i).\nAnswer: -94*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/42 and 51\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 9\/58, -3, -2\/9, 1, -51 in ascending order.\nAnswer: -51, -12, -3, -2\/9, 9\/58, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3886*j - 11672. Calculate x(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v + 6*v + 0 + 6 - 6*v. Let k(d) = -20*d - 17. Determine 6*k(f) + 17*x(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from hhninbnnn?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 5*d + 12*d - 5*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 + -0.51?\nAnswer: 184.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -119 in 0.3, -3\/4, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 9. Let q(d) = d**2 - 12*d + 13. Let r be q(5). Let i(o) = o**3 + 22*o**2 + o + 30. What is the least common multiple of a(6) and i(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -432*p**2. Let j(v) = -v + 19. Give s(j(r)).\nAnswer: -432*r**2 + 16416*r - 155952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263352 + 2372 = 142*o - 258540. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001002201 (base 3) to base 15.\nAnswer: -12b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15745 is divided by 167.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duuduiuddd. Give prob of sequence idu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 410608727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/427 or -1?\nAnswer: -1\/427","meta":{"dup_signals":{},"source":"comparison__pair_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: What is the second derivative of -21*l + l - 2*l**3 - 5*l**3 + 3*l**3 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, 4, 1, -355, -2.\nAnswer: -355, -5, -2, 1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2 - 19 + 9 + 44*o**2 + 10. What is the tens digit of j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 17a4?\nAnswer: -17a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 3*p - 6. Suppose 22 = -4*s + 2. Calculate b(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -2\/7 (c) 383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/(-4))\/(77\/11))\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122121 (base 3) to base 15\nAnswer: 21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Suppose -x + 6 = -3*l, 3 = 3*x - 2*l - p. Let z(n) = -3*n + 4*n + x*n. Let b(m) = -m. Give b(z(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -3679 and -2519 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/2013 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(68\/1275*20\/(-8))\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b)**(1\/37)\/(b**0*b\/(((b**(-6)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-371\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*z + 15 = -3*z, -10 = 2*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/2775 and 53\/746475?\nAnswer: 746475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 194690404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0576 + 0.0424. Let y = -10 + 7. Which is the nearest to r? (a) -3\/2 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99168 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 35*o**2 - 487*o - 151. List the prime factors of a(29).\nAnswer: 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 w when four letters picked without replacement from kkwkkkkkkkw.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*d + 7*d = 69, 0 = 5*b + 5*d - 110. Suppose b = -4*v + 91. Let q = v - 6. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 1172976 = -7*y + 35*y. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**4)\/z)\/z**(-6\/19) assuming z is positive.\nAnswer: z**(82\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(3*sqrt(10)) + -1*sqrt(320) - -6*((sqrt(540)\/(-1*sqrt(9)))\/sqrt(12))**2.\nAnswer: -23*sqrt(5)\/3 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7688 + -7633. What is the remainder when 216 + 1 + (-2 - 1) is divided by k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-602)\/(-2604) + 2\/(-12). Let q = 1 - 2. Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 3*i**2 + 3*i - 6. Let r = -1 - -5. What is the remainder when y(4) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + i**3 + 2*i**3 - 1113*i**3 - 755*i**3 + 717*i**3 + (4 - i**2 - 4)*(-2*i + i - 2*i) in the form x + t*i**3 + o*i + w*i**2 and give t.\nAnswer: -1146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136745246 and 9460.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/44 and 33\/2063276?\nAnswer: 22696036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 1 (c) 7 (d) -6945 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 7*v**2 + 7*v - 10. Let h be d(8). Let r(w) = -w + 27. Let o be r(-6). Let c = o + h. Is c at most 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11818, 11826, 11834?\nAnswer: 11842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 29. Let y be n(10). Let f(w) = 36*w**2 + 3*w + 3. What is the units digit of f(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = o - 48. What is the greatest common divisor of 56 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4713*c**4 - c**2 + 26*c + 12.\nAnswer: 113112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**8\/240 + z**6\/45 - z**3\/6 - 2*z. Let b(p) be the second derivative of j(p). What is the third derivative of b(d) wrt d?\nAnswer: 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.039383 - 0.03911951. Round q to five decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 34\/9*t**2 + 4\/9 - 4\/3*t**3 = 0.\nAnswer: -2, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmam. Give prob of picking 1 a and 2 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:55 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1121*z - 220.\nAnswer: -1121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2996 + 26.6564. Let a = 0.6 - 28.6. Let p = a + b. Round p to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 = 4*w, 0 = -5*w + x + 28 - 0. Suppose 2*k + 3*k + 10 = 0. Which is the second biggest value? (a) k (b) w (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -878\/5 + 176. Solve 4\/5*h**4 - 4\/5*h**2 + 0*h**3 - 2\/5*h + q*h**5 + 0 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179868 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54.34 + 9.76. Let v = 63.8 - t. What is the closest to -1 in -2\/5, v, 22?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2719 and 7?\nAnswer: 19033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/5)*(m\/m**6)\/m)\/(m*m*m**(-4)\/m*m**1))**(-2) assuming m is positive.\nAnswer: m**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/7)*s)\/((s\/(s\/s**(1\/4)))\/s)*(s*s**(2\/63))\/s**(3\/16) assuming s is positive.\nAnswer: s**(497\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:36 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 6*b - b + (125*b - 122*b + 7*b + 60)*(-4 + 7 - 1).\nAnswer: 22*b + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*l**2*q**3 + 13*l**2*q - 8556*l**2 + 392*q**3 + 2*q**2 - 32*q + 41 wrt l.\nAnswer: -34*l*q**3 + 26*l*q - 17112*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -74014 - 5\nAnswer: -74019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 26*v + 29. Let z be i(13). Let k(d) = 42*d + 25. Let g be k(7). What is the greatest common factor of g and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-9))\/((-3)\/153). Solve -5*x + 25 = -5*c, 5*c + x - 4*x + y = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1138, -2261, -3384?\nAnswer: -4507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 15. Suppose 0 = -2*q + f. Sort q, -5, -4.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -150 + 170\/((-3230)\/(-2527)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 5071*z - 404206. Give u(81).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*c - 4, l + 18*c - 17*c - 5 = 0. Suppose -26*b = -19*b - l. Is -7 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7818 to two decimal places.\nAnswer: 1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25322532 a multiple of 548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhnprcprhjnppjcc. Give prob of sequence hnnj.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-46) - (-10560)\/(-132480)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5 = -k, 42*k = 5*v - v + 45*k + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.17302 and 79.31?\nAnswer: 79.48302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -4, 2, -26, 1 in decreasing order.\nAnswer: 2, 1, -4, -26, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 equal to 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500))\/sqrt(10) - sqrt(50).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -39\/2. Which is the third biggest value? (a) -2\/21 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4417*0.09\nAnswer: -0.219753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 168, 175, 182, 189, 196?\n\"Answer: 7*v + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 7*n. Let y(i) = i**2 + 3*i. Calculate -2*p(k) - 5*y(k).\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*s - 105 + 1125 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287014 and 734882?\nAnswer: 3154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and -1.06.\nAnswer: -2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 - -2111012?\nAnswer: 2120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 27*q - 1801. Calculate w(67).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 2772650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 20. Suppose 0 = -q*c + 107 + 28. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/5, 5, -3\/2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -679 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33374*b*j*l*z + 9*b*j*z + 31*b*l - 4*j*l + 75*j - l*z - 3*l - 3 with respect to z.\nAnswer: -33374*b*j*l + 9*b*j - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0242 + -15.0142. Let r = 0.01 - h. Let k = r - 11. Sort k, 1\/5, -1.\nAnswer: -1, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, n: 3, h: 1, r: 5, j: 4}. What is prob of picking 2 r?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -92643 - 9498*w**2 + 92643 as u + l*w + p*w**2 and give p.\nAnswer: -9498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = l + 10, 238*g = 3*l + 237*g - 22 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71096 (base 11) in base 3?\nAnswer: 12021120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 891102, 1782200, 2673296, 3564390, 4455482, 5346572?\n\"Answer: -s**2 + 891101*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c**2 - 3*c)*(c**2 - 2*c**2 + 10*c**2) - 3*c**2 - 49*c + 0*c**2 + 5*c**4 + 47*c.\nAnswer: 14*c**4 - 3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let f(h) be the second derivative of -1\/6*h**3 + 3*h + 0*h**2 + 0. Determine i(f(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 + 244?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*2513563\nAnswer: -1508137.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*(-24)\/48.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**6\/30 - 3*m**5\/4 + 1171*m**2\/2 + 1097*m. Differentiate j(t) wrt t.\nAnswer: -4*t**3 - 45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5590365, -5590351, -5590337, -5590323?\nAnswer: -5590309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152063002 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d - 3*d. Let y(n) be the third derivative of -1\/735*n**7 + d*n - 3\/70*n**5 + 1\/12*n**4 + 1\/84*n**6 - 2\/21*n**3 + 0 + 9*n**2. Factor y(p).\nAnswer: -2*(p - 2)*(p - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 2 = -37. Suppose -5*z - 2*l + 14 = 4, 0 = n*l + 25. Solve -z*k - 25 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 205515\nAnswer: -4\/205515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 3*h - 2. Let t be d(1). Let s be (-39)\/(-52)*t\/6. Which is the nearest to -1? (a) 0 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 5*m**2 - 4*m - 7. What is y(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21350.4 - -21350. Let f = -3.07 + 0.07. What is the nearest to -2 in -6, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3) + -3 - (6 - 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 330493908 divided by -4\nAnswer: -82623477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-184)\/230*(-3)\/(-6)*-5. Sort -42, -4, 4, m in descending order.\nAnswer: 4, m, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4454 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 4. Let w be c(0). Suppose -4*v + w*p = -2*v - 106, -2*p + 37 = v. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**(-19) assuming v is positive.\nAnswer: v**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-1\/2) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2779704.99755 + 2779797. Let s = t - 92. Round s to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 2*w**2 + 351*w**3 - 3915*w**3 + 411*w**3.\nAnswer: -3153*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4145, 5664, 7171, 8660, 10125, 11560?\nAnswer: 12959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6390 + 6545.03. What is i rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 2*f**2 + 0*f**2 + f**2 + f**2. Let n(t) = 19*t + 5. Let s(v) = -9*v - 2. Let m = -2 + 0. Let q(c) = m*n(c) - 5*s(c). Determine q(g(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, and 1 t when three letters picked without replacement from kxtxxxxddxtdddtdx?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3191467 - 1567467. Round x to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-28)\/20 + 1)*(-1315)\/2?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 107273*a**2 - 5918 wrt a?\nAnswer: 214546*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*n - 2)*(-5*n + 4*n + 3*n) + (-4*n + 2*n + 0*n)*(3 + n - 3) - 3*n**2 + 5*n**2 - 4*n**2 + 4*n**2 + n**2 - 3*n**2 + 4*n**2 + n**2 - 3*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5)*x**(-3\/4))\/((x*x**(1\/6))\/x*x*x*x**(-4)))**(23\/5) assuming x is positive.\nAnswer: x**(2047\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h - 1006 - 439 = -85, -h = 2*x - 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*s + 47*s - 1 - 116*s.\nAnswer: -105*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9\/8 + 1. Let r = 1335 + -1330. What is the fourth smallest value in -4, -3, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4 + 6502*m**3 + 5287746*m**2 + 5268250*m - 10562500 = 0.\nAnswer: -1625, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 7, c: 5}. Give prob of sequence oc.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 18*f**2 + 56*f + 6. Let g be v(4). Let m(q) = -12*q + 12. Determine m(g).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19263 - 866789\/45. Find the common denominator of -94\/135 and t.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.058 + -0.058. Let n = 1411\/44 + -129\/4. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 6*c**2 + 6*c + 11. Let x be r(7). Solve -x*f = -20 + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Suppose 0 = -n - u*n + 10. Suppose -n*z + 9 = -9. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 14*w + 11. Let j(b) = -b**2 - 5*b + 4. Let t(c) = -11*j(c) + 4*r(c). Let t(a) = 0. What is a?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 + 5*t - 2. Let q(b) = -6*b**3 - 8*b + 3. Calculate -8*i(s) - 5*q(s).\nAnswer: -2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11630 (base 11) in base 4?\nAnswer: -10011123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/13)*b**(-1\/4)\/b*b*b*b)\/((b*b**4)\/(b*b*b**(-1\/6)*b)) assuming b is positive.\nAnswer: b**(-41\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/60 and 33\/230.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 5492*h + 212674. Determine s(-39).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.154 times -10\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 252 = 158. Suppose 3*t - v = 4*a + 80, 0 = 4*a. What is the remainder when t is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, v: 1, n: 3, u: 2, e: 12}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 28 = 4*i, 3*y + 0*i + 7*i - 1 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = 10. Let c be (-72)\/40 - 2\/(-2). What is the smallest value in v, -0.5, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - n + 0 = 4*f - 8, -180*n + 151*n = f + 224 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 109*a**2 + 7*a - 7. Let z(j) = j**2 - 16*j - 32. Let n be z(18). Let d be t(n). Let b = d + -1022. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = -3*s - 21713, 0 = s - 5*b + 7219. Let u = s - -43307\/6. What is the common denominator of 5\/11 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 296642 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - m + 1. Let f(i) = -3*i**2 + 5*i - 1. Let p(q) = -f(q) - x(q). Suppose -132*y + 93 = -303. Determine p(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {l: 18, h: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 7*k + 5*c = 11, 4*k = c + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 2*c**5\/15 - c**2\/2 + 4*c. Let f(h) be the first derivative of p(h). Let s(o) = -24*o**2 - 2 + 22*o**2 + 2. Give f(s(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -223939674*q + 123419942.\nAnswer: -223939674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17869?\nAnswer: 107, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3061 + 5937 + 611 + 4114)*(k - k + k).\nAnswer: 7601*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23205168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 + 29*p**2 - 46*p - 7. Let l(o) = -2*o**3 - 19*o**2 + 31*o + 5. Let f(g) = 5*b(g) + 8*l(g). Is f(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 9, 4, -0.75623 in decreasing order.\nAnswer: 9, 4, -0.75623, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3483331000 to the nearest 1000000.\nAnswer: -3483000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (95\/45 + -2)*3. What is the nearest to -2 in 1\/4, h, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000350505 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 9 + 21 = 0. Suppose 3*y = l*j - 1768, -1315 - 895 = -5*j - 4*y. Suppose 2*b = -0*b + j. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 16448705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70389480 and 150.\nAnswer: 351947400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*y**3 - 342*y + y**3 - 16*y**3 - y**4 - 291*y**2.\nAnswer: -y*(y + 2)*(y + 3)*(y + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*n + 144*n - 1536 = 0. Suppose -q + 2 + 6 = 0. Suppose -q*h + 5*h = -n. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125401 + 1?\nAnswer: -125400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63.1 + -126.5. Let s = b + 10.4. Let q = -52.9978 - s. What is q rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 21 + 30 = 21, 3*b - 22*u + 73 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 4216278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**3 - 5*l**2 + 3*l - 18. Let j(u) = u. Let g(q) = -f(q) - 5*j(q). Does 31 divide g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -20835.2?\nAnswer: 20835.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/13 + 375340*q**2\/13 - 2251986*q\/13 + 3377952\/13 = 0. Calculate q.\nAnswer: 3, 187664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1 + 168*c + 163*c - 330*c. Let k(v) = -4*v - 7. Calculate -14*f(l) - 2*k(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-6)*24\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 6*g + 15, 6*g - g = 1268*n - 1266*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1880 = 5*n + 5*m, -n - 35*m + 396 = -39*m. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.041 (c) 0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 2*g**2 + 3*g + 11. Let z(n) be the third derivative of -n**5\/60 - n**3\/6 - n**2. Let o(y) = -s(y) - 6*z(y). Calculate o(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.626 times 4049?\nAnswer: 2534.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 845 - 914 - (6 - 21).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6748.1 * -44.\nAnswer: -296916.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121757.30076 - 121760. Let o = 2.7 + g. Round o to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 + -5 + 1 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/130 and (-4 - 6315\/(-600)) + -1 + -4.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27482542 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**3\/6 - o**2\/2 - 2*o. Let c(i) = -30*i - 20. Let z(l) = -c(l) + 25*v(l). What is the derivative of z(q) wrt q?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 279 = 2*k, 0 = s - 20*k + 25*k - 106. Do s and 90 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 18*w**2 + 8*w + 13. Calculate t(-2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:30 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -940, -943, -948, -955, -964, -975?\n\"Answer: -i**2 - 939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 6)*(-245*q + 245*q + 12*q**2 + (-q - 3*q + 2*q)*(1 - 1 + 2*q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 0 - (-1 - -2). Let h = p + 4. Let j(o) = 9*o. Is j(h) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 322213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**3 + 3*d**2 - 4*d + 4. Let k be f(2). Let j = k - -57. Let a(w) = -w**3 - 6*w**2 + 7*w + 5. Calculate a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*m - 109 + 34 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*q - 1. Let g(t) = -7*t - 70. Let x be g(-11). Suppose -4 - 3*z + 1 + x - 3*z**q + 2 = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21106277 - 21106267.999919. Let j = n - 9. Round j to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196.746 centimeters to nanometers.\nAnswer: 1967460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 - 4*j - 12. Let y(u) = -4*u**2 - 3*u - 11. Let c(d) = -6*p(d) + 7*y(d). Is 20 a factor of c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668223 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 54d568?\nAnswer: 54d566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-9)\/2))\/((-8)\/20)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ab489 (base 14) in base 9?\nAnswer: 3731784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1900))**2 + sqrt(57)\/sqrt(3)*-4 + 4 + -3*(-5*(sqrt(684) - (sqrt(684) + 1)) + sqrt(684) + sqrt(684) + -3*2*sqrt(684))**2.\nAnswer: -31003 + 716*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103539540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21538411 to the power of 1\/2, to the nearest integer?\nAnswer: 4641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivikvvikueyvek. What is prob of picking 1 i, 1 k, and 1 e?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9002 and 425666.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88\/12 - 7 - 8\/6. Let b = c - -4. Suppose b*f = 4*d - 2*f - 718, -f + 175 = d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/5 = 6897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2338 and 1336?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1026.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*i - 4*x, 191*x - 188*x + 10 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-30))\/(4\/16). Which is the nearest to 2? (a) l (b) -7\/6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 778812336 and 2676?\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/4 + 45*j**3\/4 - 99*j**2\/2 + 60*j = 0.\nAnswer: 0, 2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 2:20 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 940.9256 litres in millilitres?\nAnswer: 940925.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11984 divided by -1\nAnswer: -11984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870533864.\nAnswer: 2, 79, 1377427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52658972 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -4, -66302?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 67019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 21\/2, 2\/3, 110, -5, 0.11 in decreasing order.\nAnswer: 110, 21\/2, 2\/3, 0.11, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.3 - -0.0083788.\nAnswer: -22.2916212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22013 (base 4) to base 5\nAnswer: -10042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 25 = -5*a, -2*i + 4*a + 2 = 0. Sort 4, 5, 1, i in descending order.\nAnswer: 5, 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 353 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/5))**(5\/4) assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**2 - 39*u + 10. Let p be s(-5). Let h = -44.889 + -0.111. Put -0.5, p, -5, h in increasing order.\nAnswer: h, -5, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -29*w - 6 + 31*w - w**3 + 9*w**2 - 7 - 11. Let t be k(10). Let f = 225 + t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14834 - -14829. Which is the third biggest value? (a) 14 (b) h (c) 3 (d) 6 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38111.06kg in micrograms?\nAnswer: 38111060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 603782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954 - 913 = 134*q + 277 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 578901*i**4 - 48*i**3 - 86108276*i wrt i?\nAnswer: 6946812*i**2 - 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.492*-5.31\nAnswer: -2.61252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 + (-4)\/(-6). Suppose 3*g - 273 - 57 = y. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/8, -0.077, -4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2297691 is divided by 574?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 420031001 - 33?\nAnswer: 420030413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2793 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -17. Let o = 75 - 70.9. Let c = o - 4. What is the closest to c in 1\/10, h, 2\/13?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-315)\/(-42))\/((-6)\/(-40)) is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2652 (b) 3 (c) 1 (d) -3.4 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2106*a**2 - 81*a. Let u(c) = 162*c**2 - 6*c. Calculate 4*d(o) - 54*u(o).\nAnswer: -324*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 459337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 22. Suppose -v + 34 = -0*u - 3*u, 3*u + 3*v + 54 = 0. Let a be t(u). Solve 0 = -2*b + p + a, -3*b + p = 1 - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 40*r + 6. Let m be c(-20). Let v(u) be the second derivative of m*u + 1\/3*u**3 + 0 + 2\/3*u**2 + 1\/18*u**4. Let v(i) = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 8*m - 5. Let l be u(-6). Let o = 18 - l. Calculate the least common multiple of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 14*y**2\/5 + 13*y + 20.\nAnswer: (y + 4)*(y + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 14444*z**3\/3 - 3*z**2\/2 - 5*z - 12. Let v be l(-3). Round v to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + -1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 8*p**5 + 181068*p**4\/7 + 145397424*p**3\/7 - 1563647108*p**2\/7 + 3535324176*p\/7 - 473559120\/7 = 0?\nAnswer: -1622, 1\/7, 3, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/((-15)\/3) + (-819)\/(-63). Factor -j*y**3 + 0*y - 4\/5*y**4 + 24\/5*y**2 + 0.\nAnswer: -4*y**2*(y - 1)*(y + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1869503, 3739007, 5608511?\nAnswer: 7478015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 720 and 13105672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -246)\/(((234\/6)\/13)\/(-1))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -6 (b) 3 (c) -0.16 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 4*t**2 - 2*t**2 + (1 + 0 + 1)*(6*t**2 - 4*t**2 - 3*t**2) + (t + 0 + 0)*(-2*t + 0*t + 0*t) to a*t + h*t**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/66 and 137\/3825594?\nAnswer: 42081534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(72\/(-117)) - -16. Solve -k*f - 2*v - 6 = v, -8 = -f + v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 188335 in -4\/3, -0.68, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*-3)\/(3\/(-2)). Suppose 5*w = 9*w + y. Which is the third smallest value? (a) w (b) -1\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1451? (a) 5 (b) 1\/6 (c) -2 (d) -0.7 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77 + 7 + 16)*(4 + 0 - 19*k - 4)*(6*k**2 + 0*k**2 + 5*k**2) to the form v*k + d*k**3 + q*k**2 + u and give d.\nAnswer: -20900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9383005 smaller than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 61*n - 4. Let j(v) = -31*v + 3. Let y(a) = 5*j(a) + 3*o(a). Let d be ((-4)\/6 - 0)*-3. What is the units digit of y(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72012 divided by 6.\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 32 - 11)*(35*a - 80*a + 48*a + 20) to k + q*a and give q.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134 * 960.2.\nAnswer: 128666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 6:57 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*o - 3*s + 40, -14 = 2*o - 5*s. Let i = 0.3 - 0.8. Which is the smallest value? (a) i (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -178, -207, -218, -205, -162, -83?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 53*o - 534. Calculate the lowest common multiple of 76 and y(26).\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8151647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 54.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 61, -8, 4\/3, -1022?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 256 + -134. Is 39 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*v - 11 + 3, -4 = -8*v + 8*q - 7*q - 3*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/3 + 10*q**3\/3 - 10*q**2\/3 - 10*q\/3 + 4 = 0?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 18. Suppose f + 2*z - 2 = 0, 5*f - 3*z - 3 - i = 0. Let a = 136661 + -136655. Solve -f = a*c - 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 102 + (-1 - 8) + (2 - 0).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4566126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 9*x - 8. Suppose h = p, 0*p - 1 = -x*h + 5*p. Let n(t) = -12*t + 1. What is n(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4252807*s*y**3 + 32694*s + 7*y**4 - 318*y wrt y.\nAnswer: -25516842*s*y + 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -7 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.87, -5, 4, -1\/2, 1, -23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9 - 21*n + 27*n - 6 - 16*n + n**2. Calculate l(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.095899\nAnswer: -0.095899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {c: 1, b: 1, w: 1, s: 1, x: 2, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbfootyyoyfyfybfbyy. What is prob of sequence yytf?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166*m**2 + 7905*m**3 + 922*m**2 + 1009*m**2 - 8478*m**3 wrt m.\nAnswer: -3438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + 189*k - 910. Let l be o(5). Let c(t) = 9*t - 2. Let g be c(5). Let i = g + l. Let x(v) = -v**3 + 3*v**2 - v - 4. What is x(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.9962374 rounded to 1 dp?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -1577.\nAnswer: -205.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*y = 0, 5*y - 3*y = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*y + 69 + 31. Suppose t - 29 = 19. Let f be t\/(-12) + 8*1. Solve 0 = 3*z + 2*s - f, -4*s - y = -z - 13 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8801824805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-5 - 0) + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*j = 9, -170*j + 171*j - 22 = -4*d. Let x(p) = -p**2 - 7*p. Let b be x(-7). Solve -g = -b*g + d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3324 and 4808082?\nAnswer: 2663677428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 11:13 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 10*x**2 + 2*x + 4. Let n = -8 + 12. Let v(a) = a**2 - n*a - 3*a + 7*a. Let b(q) = -t(q) + 12*v(q). Solve b(k) = 0 for k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 482, 1995, 4516, 8045, 12582?\n\"Answer: 504*b**2 + b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 12*d**2 - 34*d + 22. Suppose 17*k = 7*k + 150. What is the hundreds digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 191301, 191274, 191247, 191220?\n\"Answer: -27*b + 191328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 13*d**2 - 15*d + 6. Suppose 0 = y + 4*a - 8, 3*y + 50 = -2*y - 2*a. List the prime factors of g(y).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v + 107. Give g(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 4 + (-4 - 0). Let c = 6 - p. Suppose 0 = c*l - 4*k - 254, 47 = 5*l - k - 219. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 1, y: 1, b: 1, t: 1}. Give prob of sequence mz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b + 146e?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + z)*(58*z**2 - 230 + 230 + 0*z**2 + 3*z**2 - 5*z**2 + 4*z**2 + 2*z**2 - 4*z**2 + (-4*z**2 + 2*z**2 + 3*z**2)*(6 - 3 - 1)).\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -75, -74, -73, -72, -71?\n\"Answer: u - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102672 is divided by 20532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -428\/2007 + -2\/223. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/120 - c**4\/24 - c**3\/12 + c**2 - 2*c. Let p(l) be the first derivative of x(l). Factor p(h).\nAnswer: -(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0 - z**2 + 0*z + 1\/8*z**4 + 1\/30*z**5 - 4\/3*z**3. What is the remainder when t(-6) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07406 times 118?\nAnswer: 8.73908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 t when four letters picked without replacement from vmvotootsvv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p**2. Let z(k) = -2005*k. Calculate l(z(a)).\nAnswer: -64320400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**3 - z**2 - 2*z - 6. Let o(f) = 6*f**3 + f**2 + 3*f + 5. Calculate 5*a(h) + 6*o(h).\nAnswer: h**3 + h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 272676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (-278 - -276)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*x + 3*l + 10, -2*l = x. Let c = -4 - -6. Which is bigger: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z + 36*z + 25 = -5*g, 0 = -4*g + 7*z + 4*z - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12608134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -15 + 15 + -26 + -28 + 35.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-19)\/b*b**(-7\/4))\/(b*b**(-6))**33)**(-28\/9) assuming b is positive.\nAnswer: b**(-4039\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -562, -1274, -2274, -3562, -5138, -7002?\nAnswer: -9154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y + 4. Let c be r(0). Suppose 4*j + 5*g + 9 = 0, g + 2*g + 31 = c*j. Suppose 3*m - 54 = 54. Calculate the greatest common divisor of j and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsi when three letters picked without replacement from igkgmmsmgknkn?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r. Let k(a) = -637*a**2. Calculate g(k(t)).\nAnswer: 5096*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 n when three letters picked without replacement from fpnnffnnpfnp.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) 0.4 (c) 6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:50 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(8 + -3) - -915000. Suppose 4*q = -q - b. Round q to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/336?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2269*y + 2277*y = 0. Put 23, 59, y in ascending order.\nAnswer: y, 23, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.4 (b) -3029769 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 at least 5757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 - 2. Let n = 6.3 + -6. Let u = n - 2.3. Which is the second biggest value? (a) 0.1 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(1 + 6)*(-22)\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62\/(3 - 2096\/704) and 186?\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1176*p**3 - 2357*p**3 + 1183*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 66?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 61\/(-9) - (-14)\/(-63). Let w(v) = v**2 + 7*v + 11. Give w(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*w + 5*w - 145, 0 = 3*z - w - 123. Is ((-2)\/5)\/((-2)\/z) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34678 + -34389. Calculate the highest common factor of 2567 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -571 + 591. What is the greatest common factor of 210 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 835, 2894, 6911, 13540, 23435?\nAnswer: 37250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130.67 - 131. Let i = c + 34.33. Let v = i + -30. Sort -2, -5, v, -0.3 in descending order.\nAnswer: v, -0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/7)\/(m*(m*m*(((m\/(m**(4\/9)*m))\/m*m)\/m)\/m)\/m*m))\/(m**(-2\/7)*m)**(-18\/11))**2 assuming m is positive.\nAnswer: m**(652\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177 + 33. Let k = -214 + g. Which is the nearest to -0.2? (a) 3\/8 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, b: 1, g: 1, z: 1, x: 4, n: 2}. What is prob of picking 1 z, 2 n, and 1 g?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-2))\/(6 + (-1 - 4)). Let d = -3 - l. Solve -d*y + 23 = -u + 7, -3*u - y = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 5 - 16*s**2 - 2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*m**2 - 2651*m - 19143?\nAnswer: -64*m - 2651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -717 - -446. Let m = 619 + l. Suppose -3*b = -312 - m. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1827.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 116 + 4. Suppose 0 = -3*l + 4*l - k. Suppose l = 3*c - 21. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 155988, 623963, 1403934, 2495913, 3899912, 5615943, 7644018, 9984149?\n\"Answer: 2*d**3 + 155986*d**2 + 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18.78 times 4\nAnswer: -75.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 11*x - 22. Let t be c(-8). Find the first derivative of 8 + 4*m**t + 5 + 3*m**2 + m**2 wrt m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 66.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -53. Suppose -q + 69 - p = 0. Suppose -3*w + q = c, 2*c - 2*w - 44 = 3*w. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-10) + -3*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5009085184 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1241851 + 51*c**3 + 1241851 + 322*c**3 + 0*c**3.\nAnswer: 373*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slhlthf. Give prob of sequence hsl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 15*w - 5*w + 2 + 5*w.\nAnswer: 11*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4030 + 4033. Sort -2\/7, n, 1.4, 0.5.\nAnswer: -2\/7, 0.5, 1.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8635 by 395.\nAnswer: 1727\/79","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/24 and 83\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277192, -277577, -277962, -278347?\nAnswer: -278732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + (0 - (-4090)\/760). Let x = 50\/19 - u. Factor -n**4 - x*n**3 - 1\/2*n**2 + 0 + 0*n.\nAnswer: -n**2*(n + 2)*(4*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6806.864 kilograms?\nAnswer: 6806864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-5)\/15*(-6)\/2. Solve -5*u = x + 4*x, -24 = -f*x + 5*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76722 + 76722 + 8*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3948 - ((-594)\/(-6))\/(-9). Round x to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/9)\/(o**(-2)\/o))**(2\/95)*((o**(-1\/3))**(-4))**(-5\/4) assuming o is positive.\nAnswer: o**(-1373\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6432 - -6460. Let u = 24 + -21. Which is the closest to d? (a) -1\/3 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02796 + 0.97204. What is the third smallest value in -0.2, i, -0.1, 2, 24?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 2*n**3 - 2*n**3 + n**3 + 5*n**2 - 5*n**2 + (1 - 1 - n**2)*(0*n + 3*n + 3*n) - 5*n**3 + 0*n**3 + 3*n**3)*(-1 + 1 - 3*n).\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 6*g + 5. Let d be t(4). Let m = d + 12. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-9)*2\/(-25)*1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21351, 21356, 21363, 21372?\n\"Answer: f**2 + 2*f + 21348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/10 - 0)*7864\/(-12) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9 - -3436) + (4 - (-5 + 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 9*y - 9. Let x = 4816 - 4819. What is n(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-1)\/(-2)*(-5852304)\/(-802332)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -2*9\/(-6). Let w(m) = -2*m - 27. Let l be w(-20). Let y = l + a. Sort y, 5, -4, 3 in descending order.\nAnswer: y, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.8096189 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 26*a + 5 = 3*m, -2*m = 2*a. Let r(s) be the third derivative of 2\/3*s**3 - 1\/12*s**m + 1\/120*s**6 + 0*s - 1\/24*s**4 + 7*s**2 + 0. Give r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 5. Let a = r - -6. Let n(m) = -m**3 + 2*m**2 - 2*m + 2. Is n(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64130 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(275))**2.\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 20*j**3 + 13*j. Let y(u) = -10*u**3 - 7*u. Suppose -30 - 15 = 5*s. Let h(o) = s*y(o) - 4*x(o). What is the second derivative of h(d) wrt d?\nAnswer: 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/1049?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*h + 1 = 0, -2*h = 5*g - h - 31 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13051 (base 7) to base 9\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*h**4 - 23*h**4 + 27*h**4)*(0*h - 2*h + h) - h**5 + 0*h**5 + 2*h**5 + (2*h**2 + 4*h - 4*h)*(-7*h**3 + 2*h**3 + 3*h**3).\nAnswer: -33*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-1 + sqrt(125)*2 - (0 + 0 + sqrt(125) + sqrt(125)))*-3)*-5)**2*-4.\nAnswer: -6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 1440.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - -3.7. Let f = 13.7 - k. Which is the nearest to 1? (a) f (b) -2\/17 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205964682 divided by -316382.\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200 * -9.48.\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -47 + 9*d + 92 - 57. Does 13 divide z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6832, 6794, 6744, 6676, 6584, 6462?\nAnswer: 6304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 2*i + 2. Let c be r(-2). Let d be -5*117*(-12)\/c. Suppose -m + d = 289. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*f - 15 + 3, -f = g - 4. Differentiate 3 + f - 2*p + 0 wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*k - 21 = -89, -74 = -5*s - 2*k. Calculate the highest common divisor of s and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574315109*p**3 + 3*p - 574315128*p**3 - 2*p - p.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001669225801 to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -31. Suppose g*v + 3 = 3*v. Let y be 60\/20 - 1\/v. Solve y*x = -5 - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 6*y + y)*(-134*y - 51*y - 33*y).\nAnswer: 1090*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18108 and -1.\nAnswer: -18108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 11235120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2 - 32*f - 41*f + 44*f - 4*f**2 wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 604321769453 and -0.04?\nAnswer: 604321769453.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 15*g + 7. Let p be s(-21). Let o = p - -483. What is the remainder when o is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 224 - -155. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.2 (b) -14 (c) -6\/17 (d) -4 (e) 2\/3 (f) 5 (g) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(9\/5)\/y*y*y*y*y*y*y*(y\/y**(3\/10))\/y*y*y*y)**(-1\/22) assuming y is positive.\nAnswer: y**(-19\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/2))**(-7\/12))**38\/((m**(1\/4))**42\/(m**(-2\/27)\/m**(-3))) assuming m is positive.\nAnswer: m**(2773\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-2)\/(-12))\/((-1200)\/(-360))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 4 - 4 + 2)*((0 - 1 - 1)*(-u**3 - u**3 + 3*u**3) - 50*u**3 + 72*u**3 - 32*u**3) to the form o*u**2 + f*u + t + i*u**3 + n*u**4 and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164480 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -4*u**7\/21 + u**4\/3 + 12*u. What is the third derivative of s(n) wrt n?\nAnswer: -480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j + 40*j + 234 = 88*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (241*p - 450*p + 223*p)*(-49*p - 5*p**2 + 49*p) in the form k + u*p**3 + c*p + n*p**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6579589\/15 + -438830. Let i = y + 877\/5. Is i > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 - k**2\/4 + 57*k\/2 - 225\/4 = 0. Calculate k.\nAnswer: -25\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1.2, -241420\/11?\nAnswer: -241420\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1198.452 weeks?\nAnswer: 12080396.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -82. Is (-1021)\/h - (-4)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -16*g. Let m(q) = 3101146*q - 8. Determine m(s(z)).\nAnswer: -49618336*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -40139 - ((-4)\/4 + 2). Let p = 66540 + t. What is p rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1360814.4 to the nearest 1000.\nAnswer: 1361000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**2 + 3*d - 19. Let h(s) = -2*s**2 + 2*s - 9. Let z(w) = 3*c(w) - 7*h(w). Give z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -6\/11 (b) 1\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = p + 2. Let n be 10\/p - (-2)\/4. Suppose 5*i + a = -2 + 8, n*i - 2*a - 1 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -19*c**3 + 73*c**2 - c - 13. Let s(i) = -43*i**3 + 145*i**2 - 2*i - 27. Determine 4*s(t) - 9*u(t).\nAnswer: -t**3 - 77*t**2 + t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {l: 1, z: 2, f: 2, h: 5, g: 5, s: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 68*m**4 - 2 - 4*m + 30*m**2 + 5*m + 69*m**4 as d*m**3 + f + q*m**4 + u*m + z*m**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11.1*-616\nAnswer: 6837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -17. Let x be (-92)\/y + 4\/10. Suppose 3*p + 15 = 3*g, 4 = -2*p - 6. Which is the nearest to g? (a) -2 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(11) + sqrt(11))*-4.\nAnswer: -8*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*p + 67400 = 6913 - 2040 - 14423 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000139854431 to six dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8)\/(u\/(u*u*u**(-8))))\/((u*u**(-13)\/u)\/u**(-5)))**(-2\/97) assuming u is positive.\nAnswer: u**(14\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + t = 62, 3*t = -4*w + 14 - 84. Let i(l) = -l**2 - 35*l + 27. Is i(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 14 + -7 + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 23. Suppose -8*s - 14 = -2*k - 4*s, 5*s + f = -2*k. Let c(r) = -404*r**3 - 2*r**2 - 4*r - 2. Let g be c(k). Round g to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.72*-0.4\nAnswer: -5.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*i + 25*i + 74 + 322 = -227 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-256)\/240)\/(-4))\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -180812 divided by 6\nAnswer: -90406\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**4 + 25*v**3 - 4*v**2 - 31*v + 3. Let k(j) = -12*j**4 + 49*j**3 - 9*j**2 - 63*j + 7. Let i(u) = -14*b(u) + 6*k(u). Determine a so that i(a) = 0.\nAnswer: -28, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11136801.\nAnswer: 3, 13, 285559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69430, 277836, 625396, 1112284, 1738674, 2504740?\n\"Answer: 29*p**3 + 69403*p**2 - 6*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aa0 (base 12) in base 15?\nAnswer: -e93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 549?\nAnswer: -46\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-7))\/(d\/(d*d*d**(-1\/2)))*((d\/d**(1\/4)*d)\/d)**31 assuming d is positive.\nAnswer: d**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = 0. Let q(z) = x*z**2 - z**2 - 23*z + 1 + 5*z. List the prime factors of q(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 2 q when four letters picked without replacement from vsqaaapfaaafva.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147843 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6243 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-7)\/(-35))\/((-12)\/(-10)). Let t = -1.19 + 1.19. What is the closest to t in -0.2, 5, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(2\/3)*z)**22\/(z**0)**2)\/(((z*z**(1\/7))\/(z\/(z*z**2)))\/(z\/(z\/(z\/z**(1\/2)))*z**(-5))) assuming z is positive.\nAnswer: z**(1835\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i + 3 + 5*i**2 - 10*i - 3 to the form u*i**2 + g + p*i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2 + 255*f - 31. Calculate the remainder when u(25) is divided by 121.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-4)\/(-12)) + 625\/(-1). Let g = s + 626. Which is bigger: g or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1170, -3197, -5224, -7251, -9278?\nAnswer: -11305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a02 + 140?\nAnswer: b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3\/(-15)*1*21*(-3815)\/7 and 33?\nAnswer: 25179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 20. Let i be (-8)\/g + (-7)\/21. Suppose 0 = -w - 4*r + 2*r + 1, -5*w - 2*r + 13 = 0. Solve 0 = -w*s - 2 - i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5 - 18*q**4 - 168*q**3 + 18*q**2 + 165*q = 0. Calculate q.\nAnswer: -5, -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -93. Suppose -v - 3 = 58*b - 57*b, 6*v - 73 = b. Calculate the greatest common factor of p and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from muhrubhb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzm when three letters picked without replacement from {m: 2, w: 1, k: 1, z: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -96\/959 (c) 9\/8 (d) -1\/10 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b**2 + b + 61. Let t(c) = -5*c**2 + 30. Determine 6*d(y) - 13*t(y).\nAnswer: -y**2 + 6*y - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5))**7 assuming s is positive.\nAnswer: s**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-30))\/(-1*6\/(-65)) and 9\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48162 divided by -1056.\nAnswer: 8027\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/68994 and 13\/20.\nAnswer: 689940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*843.\nAnswer: -4215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123983*a**3 - 123985*a**3 + 8174*a**2 - 8174*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 19*o**2 - 2*o + 23. What is the units digit of u(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.024 + -0.024. Let i = 0.4 - 0.2. Which is the nearest to 0? (a) z (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d)**(-5\/11) assuming d is positive.\nAnswer: d**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*1*(3*sqrt(1900) + -3 + (2 + sqrt(684) - (sqrt(171) - (sqrt(171) + 1)))))**2.\nAnswer: 886460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y. Let c(d) be the third derivative of 7*d**4\/12 + 19*d**2. Let p(g) = 15*a(g) + 3*c(g). Let w(z) = -23*z**2. What is w(p(q))?\nAnswer: -207*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9 + ((-44)\/(-6) - 3). Solve -3*t + i - 7 = -x*t, 2*t - i = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 t, and 1 j when four letters picked without replacement from {t: 2, w: 1, z: 3, j: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -12*w - 5. Calculate o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/12 - u**3\/3 - u. Let w be a(3). Let z(m) = 1 - m**3 + m**w - m**3. Let o(i) = -i**3 + i**2 + 1. Give o(t) - 3*z(t).\nAnswer: 2*t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 1:38 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 4565?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61053 and 4512?\nAnswer: 1953696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let o(p) = -133*p**2. Calculate -o(n) + x(n).\nAnswer: 134*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**6\/120 - v**4\/16 - v**3\/12 - 11*v. Solve a(m) = 0 for m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 21, 4 in decreasing order.\nAnswer: 21, 4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 12*h**2 - 61*h - 245. Give j(-11).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 310228140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrr when four letters picked without replacement from rrrrrzrrzrrrfzrr?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -4714163.\nAnswer: 1885665.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = j - 3244, 4*j - 13021 = -3*f. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3219 - -7863?\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 2 + -2 + (13 - (2 + 6))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 3) in base 15?\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*u + 2, 0*n + 5*n + 2 = 3*u. Let l = u + -2. Let i(h) = 14*h + 0*h**2 - 15*h - h**2 + 4. What is i(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 388591 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Suppose 0*d + 3 = -d + 5*p, -d = 2*p - 4. Suppose -c = 4*v - 0*c - 5, -d*c - 3 = -5*v. Solve f*j + v = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 = 23. Let a(c) = c - 3. Let f(p) = -p**2 - 2*p + 7. Let d(b) = -13*a(b) - 6*f(b). Let l(s) = 4*s**2 - s - 2. What is k*d(i) + 7*l(i)?\nAnswer: -2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - 10. Which is smaller: r or -9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24148 - -24118.007. Let k = m - -30. What is k rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 407, -62, -15 in ascending order.\nAnswer: -62, -15, 3, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -274 and -0.5.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1135.\nAnswer: 567.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**3\/6 + 4*g**2 - 4*g + 3. Let l(t) be the first derivative of w(t). Calculate the least common multiple of 2 and l(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 - 2)*(-5*b**2 - b**2 + b**2) + 2*b**2 + 0*b**2 + 0*b**2)*(4*b**2 + 7 - 7)*(0 + 1 + 0)*(2*b + b - 4*b).\nAnswer: -88*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -66. Let y = 32 + x. Which is the closest to 27? (a) -0.4 (b) -1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, 0.7, -0.4, -2, -0.8 in decreasing order.\nAnswer: 0.7, 0.4, 0, -0.4, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*d, d + 6 = -z + 3*d. Let n(a) be the second derivative of a**3\/2 + 2*a**2 - a. Let g(u) = 10*u + 13. Calculate z*g(j) + 7*n(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -18*t**2. Let j be (28\/6)\/(12\/18). Let k(u) = -2*u**2 + j*u**2 - 3*u**2. What is l(k(o))?\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen ninths of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(2*sqrt(275) + sqrt(11)))\/((-3*2*sqrt(84))\/sqrt(7)))**2.\nAnswer: 1\/1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -727?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 2*b - 7. Let p be n(-5). Suppose 3*d = 0, 3*l - 2*d + 4 = -p. What is the remainder when (-5 - -83)*(-6)\/l is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 65*j**4 - 131*j**4 + 2*j + 68*j**4 + 2*j**2 + 3*j + 2*j**3 as f*j + m*j**2 + r + v*j**4 + w*j**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 9 (b) 0.5 (c) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(48) + sqrt(8))\/(sqrt(8)\/sqrt(2)*1).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2.38. Let s = b + 0.18. Let o = s - -0.01. What is o rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3\/3 - 1168898*h**2 - 1024740731904*h + 6148458418208\/3 = 0.\nAnswer: -1753348, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 105)*(-12)\/30. Suppose 40*o - m*o = -40. Calculate the highest common factor of 50 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -176208008 and -0.07.\nAnswer: -176208008.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9963466 centimeters to meters.\nAnswer: 0.009963466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 29714440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126640095007\/57917329232 + -3947\/2450801. Let q be (-78)\/8229*3\/42. Let j = d - q. Find the common denominator of j and 73\/208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/5, 0.7, -0.2, -9, 1\/8 in increasing order.\nAnswer: -9, -1, -0.2, 1\/8, 3\/5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (233142\/(-20984))\/(-273)*(2\/(-2))\/(-7)\nAnswer: 1\/172","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2396*n + 626*n = -571*n - 672*n + 6851 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(3\/4))\/(((z\/(z\/(z\/(z*(z*z*(z*z*z**6*z)\/z)\/z))))\/z)\/z)*z**1*z*z**(-4)*(z*z**(-6)*z*z*z*z*z**(-6))**36 assuming z is positive.\nAnswer: z**(-971\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 68*c**2 - 19*c - 4. List the prime factors of j(5).\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519639 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**2 - 2302870*m + 265160511845 = 0.\nAnswer: 230287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 8259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w + 86. What is m(14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1827523225?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 63 = -57. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 64\/5 of a millimeter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y - 2*y - 2*y to z*y + l and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7890, 7943, 8030, 8169, 8378, 8675, 9078, 9605?\nAnswer: 10274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**6\/2 - 10. Find r, given that o(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Let r(s) = 5*s - 105059. Give y(r(t)).\nAnswer: -10*t + 210118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45946 (base 11) to base 12.\nAnswer: -3249a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ihhhhqqqhiqh.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 + 7*f**2 - 11\/6*f**3 + 10*f. What is the derivative of k(q) wrt q?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 7009\nAnswer: 63081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -973*p**5\/20 + 17*p**4\/6 - p**3\/2 - 1227*p. Find the third derivative of s(r) wrt r.\nAnswer: -5838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -61, -83, -89, -73, -29?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 28*z**3 - 66*z**2 + 224*z - 128.\nAnswer: -2*(z - 1)**2*(z + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26 (b) -0.2 (c) -1331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 69*n**2 - n. Let p(k) = 2*k + 3*k + 4*k - 7*k + 2*k. Determine z(p(v)).\nAnswer: 1104*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -517a?\nAnswer: -517b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1111011001?\nAnswer: 1111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(0*s + 0*s - 2*s) + 2*s - 5*s + s - s + 2*s + s - 4279 + 72*s + 4279 as a*s + w and give a.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10987*v + 10987*v - 305 + 10*v**5 + (-v + v - 2*v)*(v**4 + 0*v**4 - 3*v**4).\nAnswer: 14*v**5 - 305","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**2 + 13*u**3 - 38*u**2 + 16*u**2.\nAnswer: 13*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6566750000 to the nearest one million.\nAnswer: -6567000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253841 is divided by 3058.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 29 + 4. Suppose o*s - 288 + 90 = 0. Calculate the remainder when 45 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlor when four letters picked without replacement from oorhrjnhonnhlr.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -1 (c) 0.6 (d) -2\/21 (e) -109\/530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 43, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001111011011010 + 100?\nAnswer: -1111001111011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 87. Let k = 167\/405 + -1\/81. Which is the second smallest value? (a) 5 (b) w (c) k (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1829545 + -9?\nAnswer: -1829553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) -6.3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127.164 + -124.66374. Let u = -2.5 + j. Round u to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(2))**2*-5*-5.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2*(sqrt(80) + 0)*4)**2 - (-5 + (-5 + -1 + sqrt(80) + 2)**2)) + 2.\nAnswer: -32*sqrt(5) + 5032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 417*g**2 + 1110*g - 4875. Give b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 29. Let t = -172978 - -172981. Which is the biggest value? (a) t (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*j - 12. Solve v - 1 + 2 = 4*o, 5*o + j*v = -2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = a + 4*i, -4*a + 5*i = 6*i + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*i**5 + 12*i**4 + 541*i**3 + 5686229*i**2 wrt i?\nAnswer: 12000*i**2 + 288*i + 3246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 494363 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1) + 3 - -11. Suppose 1 = -j + 4. Suppose 0*b - 4 = -3*b - g, -b - j*g = q. Solve b*x + x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.52187, -1, -4\/583?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**3 + 31*f**2 - 94*f - 22. Determine j(4).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*f**2 - 196*f**2 + 592*f**2 - 198*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**2 + 8 - 43*c + 43*c to p*c + r*c**2 + n and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(1*-3) + 232. Suppose -5*g - 5*w = -155, 107*w - 109*w + 114 = 4*g. Calculate the highest common divisor of g and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2*s**(22\/9) assuming s is positive.\nAnswer: s**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.075*-413.7881.\nAnswer: 31.0341075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2 + (24 - 28) - 141. Put d, 3, 2 in decreasing order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b**3 + 6*b**2 + 157*b + 150. What is c(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvwrdfddddgfffv. Give prob of picking 1 g and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8980315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12388817\/78 - -3408095\/13. Let j = -104028 + i. Let l = 721 + j. Calculate the common denominator of -127\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3145 is divided by 123.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -124. Let k = -35 + h. Solve -d + k = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22956227 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/4 + 813*l - 1625 = 0.\nAnswer: 2, 3250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1487499 divided by 4.\nAnswer: 1487499\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6 or -12.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 6*r**2 + 6*r. Let h be v(-7). Let x = h + -1. Is x less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, -0.2, 3, -189?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t + 8, -2*i + t = -54. Suppose 0 = 2*o + 2*o - h - i, -16 = -4*o + 4*h. Suppose o*s + 96 = 579. Is s a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 4*l, -2*n - 5*l = -2*l - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-4))\/(5\/(-20)). Let g be (-70)\/(-4) + d\/6. What is the highest common divisor of 114 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11318 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2*y**2 + 9*y - 4. Let u(s) = -s**2 - 4*s + 2. What is -4*r(j) - 9*u(j)?\nAnswer: -4*j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) 145 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 606 - 721. Let w = -99 - p. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -487*s - 689 wrt s.\nAnswer: -487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -2*x + 0*x**3 - 27*x**2 - 7 - 13\/6*x**4. Differentiate p(g) wrt g.\nAnswer: -52*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 376 - 255. Let y = s + -121.000096. What is y rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 - w - 1. Let t be c(-4). Let i(q) = -q**2 + 7*q. What is the remainder when i(t) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Suppose -2*n + 36 = 2*s + s, p = -2*n + 4*s + 22. Let x = n + -2. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3 = -l + 3*l, -5*x = 2*l + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/5095960 and -1\/5605556.\nAnswer: 56055560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1160 and 50?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**3 + 403373*z**2 + z - 19830375 wrt z.\nAnswer: -12*z + 806746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355717?\nAnswer: 355717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 5, k: 4}. What is prob of picking 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 1 + 3. Put x, 1, 4 in descending order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 + 102*x**2 - 1296*x + 3960.\nAnswer: 2*(x - 6)**2*(x + 165)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1641071*l**4 - 3*l**3 + 3*l**2 + 243*l + 269528 wrt l.\nAnswer: 19692852*l**2 - 18*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6.22.\nAnswer: -6.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2928, 3039, 3172, 3327?\n\"Answer: 11*q**2 + 78*q + 2839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -420626.67194 + 420635. Let u = -8.34 + n. What is u rounded to four decimal places?\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - 216\/18) + 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1914*0.1476\nAnswer: -282.5064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -c. Suppose 3*j + 79 - 442 = c. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14497*b*h*k**2 + 3*b*k + 886*h*k + 2*k wrt k.\nAnswer: 28994*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28144 + 55820. Is z a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*o - 36 = 0, -5*o = 5*j - 3*o - 42. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540 and 24660?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7556453593.\nAnswer: 13, 163, 3566047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s. Let q(h) = -16*h - 1. Let y(d) = -7*j(d) + 5*q(d). Determine y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29688 + -28284. Calculate the remainder when c is divided by 125.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/42 and 9\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 7. Let r = -8 - -8. Let w be j(r). Let u(a) = -a**2 - 7*a + 6. What are the prime factors of u(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39002743.\nAnswer: 13, 17, 31, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 18 - (-1 - -3)*-1. Calculate the remainder when (-578)\/(-6) - 5\/j is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.034 + 0.125. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70908 is divided by 638?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -5?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1913.3 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34845 - 0.3.\nAnswer: 34844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 - -44. Calculate the common denominator of -91\/22 and -3 + ((-276)\/u)\/(44\/6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 13) to base 7\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10.6 (b) -1 (c) -3\/5 (d) 1\/7 (e) -2.9 (f) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/8, 0.33, 4\/3 in increasing order.\nAnswer: 0.33, 4\/3, 17\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -92. Suppose z*j = -3*h + 37, 5*j - 5*h - 5 = -0*h. What are the prime factors of 1*55\/j - 2\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 50*h**2 + 360*h - 4. Let s be t(-6). Calculate the greatest common factor of s and 2754.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1070 or 0.1?\nAnswer: -1070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4*m + 4*m)*(-2*m**2 + 3*m**2 - 3*m**2) - 4*m**3 + 4*m**3 + m**3 + 2*m**3 - 1 + 1 - 865*m**2 - 2*m**3 + 886*m**2 + 22*m**3.\nAnswer: 19*m**3 + 21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43101683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from lrblrlgbrrllbbc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*q + 10224 = 26*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z. Suppose z*n = -n. Suppose n = -j + 5*j. Which is smaller: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -778099 - -2?\nAnswer: -778097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 75824, 4, -6 in decreasing order.\nAnswer: 75824, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2176) + (sqrt(2176) - (sqrt(2176) + (sqrt(2176) - (sqrt(2176) - (sqrt(2176) + (sqrt(2176)*-2 + sqrt(2176))*1))))))\/(sqrt(18) - -1*sqrt(1152)).\nAnswer: 8*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1362315 or -4?\nAnswer: -1362315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -488\/5 - -98. What is the smallest value in -4, 2\/65, c, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 0.05415.\nAnswer: 1.05415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4691*39.\nAnswer: -182949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68917223.\nAnswer: 23, 1051, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338504?\nAnswer: 2, 17, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/16 or 9?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -117*b**3 - 2*b**2 + 3*b - 2. Let t(v) = 118*v**3 + 3*v**2 - 4*v + 3. Give -2*t(a) - 3*z(a).\nAnswer: 115*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/3 - 1988*p**2\/3 - 177126*p - 6067440 = 0. Calculate p.\nAnswer: -477, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 89 = 4*f + 35, 147 = -5*s - 3*f. Which is bigger: -155\/6 or s?\nAnswer: -155\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210207*r**3 + 286*r**2 - 11*r?\nAnswer: -1261242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157.18 - -155.18. Which is the nearest to y? (a) -3 (b) -1\/4 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -933 - -935. Solve g - x = 2*g + h, 4*g + 2*h = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 13*i - 12*i)*(-1 - 4 + 6)*(32 + 37 - 22).\nAnswer: -1128*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 128 = -0*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-655)\/1965)\/(5*-1)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/18*-1*(-2)\/(-6). Let f = 1.11597 - 0.11597. What is the smallest value in p, 3, -3.7, f?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8058611 and 0.3?\nAnswer: 2417583.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -44. Let n be (48\/6 + 46\/(-6))*-13. Which is the closest to n? (a) -3\/8 (b) 2\/15 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.1 and -0.4?\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let p(l) = 5*l - 2. Let z(d) = p(d) - 6*w(d). Let c be z(5). What is the remainder when 20 is divided by c - (-1 + -1*11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 306*v + 8592. What are the prime factors of z(113)?\nAnswer: 2, 3, 5, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 y when four letters picked without replacement from {y: 7, b: 4, o: 6}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(2 - 2*q - 2) + (-2 + 3 - 3)*(-2*q - q + 5*q) + 8 - 18*q + 6*q + 8*q.\nAnswer: -4*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342402, -684807, -1027212, -1369617, -1712022, -2054427?\nAnswer: -2396832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10031982.\nAnswer: 2, 3, 1671997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 80, 209, 388, 617, 896, 1225?\nAnswer: 1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-6))\/((-10)\/30). Solve -3*m = 9, 2*m = -4*y - q + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w + 59*w + 58*w.\nAnswer: 162*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -100, -148?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 121 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -3*l**2\/2 - 2*l - 23. Find the first derivative of q(o) wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111110110000110001100 - -101?\nAnswer: -101111110110000110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(0 - 1 - 0). Calculate the common denominator of -4 - (-2)\/5*(-2275)\/112 and (-69)\/(-288) + (-2)\/q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19794 is divided by 275?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -3. Which is the third smallest value? (a) 0.5 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0163592 to four dps.\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*x**2 + 1030 - 1810771*x**4 + 1810770*x**4 + 85*x**2 + 1304 wrt x.\nAnswer: -4*x**3 + 196*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**5 + d**2 + d + 1. Let s(u) = -49*u**5 - u**4 - 129*u**2 - 2*u - 2. Let h(o) = -2*f(o) - s(o). What is the third derivative of h(c) wrt c?\nAnswer: 2700*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 3100?\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-18)*(-3572)\/470.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s**2 + 31*s - 117. Is l(40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b08 (base 14) to base 12.\nAnswer: -2a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)*h)\/h**(4\/17)*(h*(h*(h*((h\/h**(-1\/3))\/h)\/h*h)\/h)\/h)**(-6\/7) assuming h is positive.\nAnswer: h**(-16\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16231\/628 - -15\/157. Let v = x - -128\/5. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0185288 millilitres in litres?\nAnswer: 0.0000185288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-3 - 20\/(-4)). Let y be 2\/(a - 2\/4). Find the first derivative of -3*s**4 + 7*s**4 - 3*s**4 + y*s**4 - 1 wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 877036 and 33041378.\nAnswer: 1519903388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.46 + 37. What is l rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-338)\/(-4) + (-2)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 100845 - 285390 = -5*j, -4*j + 184542 = 5*t. List the prime factors of t.\nAnswer: 2, 3, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14 + 8 = 0. Suppose 2*h - 5 = o + 5*h, 5*o - y*h - 47 = 0. What is the lowest common multiple of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:23 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 2*p)*(0 + 0 - 1 + (3 - 4 - 1)*(1 - 2 + 3)) - p - 2 + p + 2*p.\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 - 354776*g**4 - 5675870*g**3 + 6030648*g**2 = 0. Calculate g.\nAnswer: -177372, -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -43 (c) 0.3 (d) 0.1 (e) 0 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:35 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + -3 - (-6 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/(c\/(((c**(-8)*c)\/c)\/c))*c)\/c*c)\/c*c)**(-2\/61)\/(c**(2\/7)*c\/(c*c\/((c*c\/c**(-2\/65)*c)\/c)*c)*c))**(-3\/23) assuming c is positive.\nAnswer: c**(90507\/638365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482 (base 12) to base 10.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-8)\/3)\/(15 + -6 + -5). What is the biggest value in -0.12, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 23*f**2 - 10*f + 227. What is n(23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 24 = 5*s, 2*k - 21*s + 25*s - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/15, 0.8, 399.\nAnswer: -3, -2\/15, 0.8, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at most as big as 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (-37 - -73) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-1 + (-8)\/(80\/(-25))))*0. Let l(p) be the third derivative of 0*p**4 + 0*p**3 - 3*p**2 - 4\/15*p**5 + 0*p + k. Let i(b) = 3*b**2. Give i(l(m)).\nAnswer: 768*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2449, -2560, -2683, -2824, -2989?\nAnswer: -3184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20240478 to the nearest integer?\nAnswer: 4499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klkklkkkkklkkkkkkk. What is prob of sequence kl?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*f - 1 + 15 = 0, 4*o - 12 = -f. Let z be 1\/o + 620\/(-1320). Is 0 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 - 6. Suppose -3*d - 16 = 2. Let s(p) = -5*p**2 + 5. Calculate d*v(m) - 7*s(m).\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**6\/6 + 5*s**4\/4 - 26*s**3\/3 + 60. What is the third derivative of q(n) wrt n?\nAnswer: -60*n**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-74)\/9 - 26\/(-117). Is y\/(-1 - (-10)\/12) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -0.25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 17*a + 15. Let n(j) = 9*j + 8. Let l(w) = 11*n(w) - 6*q(w). Suppose 0 = -4*p - 2*v - 39 + 51, -3*p - 10*v = -9. Calculate l(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 + 61*j\/2 + 181\/3.\nAnswer: (j + 2)*(j + 181)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k - 6. Suppose k*r = 3*r - 5. Let j = 0.1 - 0.2. Put j, r, 0.5 in decreasing order.\nAnswer: 0.5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 0.2. Let m = 28 - 21. Let g = m + -10. Is g < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -28 + 193. Let z = 354 + l. What is the greatest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*3\/(-15) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5014\/(-115) + (10 - (-806)\/(-65))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1630108 months in millennia?\nAnswer: 0.0001802509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38596585.\nAnswer: 5, 43, 179519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/7))**(8\/7)*c**(-10)\/(c\/(c\/c**8)))**(-40) assuming c is positive.\nAnswer: c**(33680\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 9*l**2 - l + 14. Let b be d(7). Suppose -4*f - 5*p + 1057 = 0, 3*f + 3*p - b = p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 + 155 + -24 + -32.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 1\/6 (c) 53\/599\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*v + 28. What is the smallest common multiple of 14 - -3*(-16)\/12 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3971565107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1745 - 5077 = -17*w. Let t = w - 133. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -aa67 - 12104?\nAnswer: -22070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 - 108. Let f(l) be the second derivative of 0*l**2 - 5*l + n*l**3 + 0 - 5\/6*l**4. Let h(t) = -t**2. What is h(f(g))?\nAnswer: -100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -22 + 1\/2*v**2 + 1\/6*v**3 - 2*v. Let b(n) be the first derivative of r(n). What is b(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 50. Suppose q*w = 4*a - 16, -4*w - 7 - 3 = -a. Solve 2*s = a, -4*s + 3 + 16 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - -25 - 23) + 1 + -78.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2278493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/9 and -43\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -8. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*d = -19, 0 = -2*q + 3*d + 3 - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -5*s + 4*i + 34, 5*s - 5 = 6469*i - 6467*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l = 32*l + 70. Suppose 247 = 12*h + 7. Calculate the remainder when h is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3*((sqrt(104)*-2 - sqrt(104)) + sqrt(104)) + (sqrt(104) - (sqrt(104) - sqrt(104)*-2*-1)))*1)\/(-2*(sqrt(512) - -2*2*sqrt(512))).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) + (-6)\/4. Let l be (9\/v)\/((-6)\/(-8)). Let k(b) = 62*b**3 - 163*b**3 + 6*b + 51*b**3 + 7*b**2 + 51*b**3. Calculate k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 12. Let m be v(-5). Solve 5*k - 13 + 1 = 2*r, 0 = m*k - r - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Suppose 2*k + y*u + 4 = 0, -2*k + u - 7 = -15. Let d be 2\/8 + (-1573)\/(-484) + (-1)\/2. Solve v = 2*i + d - 4, -6 = k*i - 3*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3521.8 + 3522. What is the nearest to 0 in -3\/4, 9\/38, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x + 3. Let z(p) = 2*p. What is -2*v(r) - 14*z(r)?\nAnswer: 4*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r**5\/r*r)*r**0*(r**2)**(-1\/40))**47 assuming r is positive.\nAnswer: r**(-1927\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4342 divided by -623.\nAnswer: -4342\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + 3*h - h + (2 - 1 + 0)*(-3*h + h + h) + 0 - 2*h + 0 + 2*h - 5*h - 10*h - 2 + 3 - 3 - 4*h - 5 + 5 - h + (2*h + 3*h - 6*h)*(-2 + 2 - 2).\nAnswer: -21*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -n - 1237, 457 = 2*c + 3*n - 800. Let f = -583 + c. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15140571 and 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-1)\/(-4))\/(158\/2844)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18530421 and 1001.\nAnswer: 203834631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 10, -2*v + x = -0*x + 52. Let t be ((-17)\/(-4))\/((-5)\/(-60)). Let k = v + t. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*k + 6 - 1614*k**3 - 4*k**2 + 5*k**2 - 7.\nAnswer: -1614*k**3 + k**2 - 240*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 3. Let b be n(-3). Let x be 2*(2 - b\/(-2)). Let j = x - 1. Let i(r) = -r**3 + 3*r**2 + 2*r. Calculate i(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 4. Let d = 18 - 11. Let x be f(d). Suppose -x*n = -0*n. Solve -q + 2*q = n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - -1) + 78)*(-15)\/(-4). Suppose -3*p + v = 12*p. Calculate the remainder when 58 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10061787*s**4 - 3*s**3 + 392889544*s**2?\nAnswer: -241482888*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 72 = 2*y. Suppose -u - 3 = y. Does 6 divide (u - -3)*(-3)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2445, -3736, -5025, -6312, -7597?\nAnswer: -8880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -425 or -428?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36403245 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 10*k + 1308 - 1280 as v + w*k and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 6 = -s + 5*d, -5*s - 3*d - 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a. Let o = -2 - -1. Suppose -7 = 4*m - s, 4*m - 3*s = -8 - 5. Let d(b) = b**2 + 6 - 7 + 3*b - 3*b**2. Calculate m*q(l) + o*d(l).\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**3 + 10*v + v**3 - 6*v**3 - 2*v**5 wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a. Calculate c(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 12:16 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6*13.1\nAnswer: -78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*z = 192 + 8769 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -3)*-6 - -48. Suppose 3*l - 176 = x, -l - 2*x = 7 - d. Let t(z) = -20*z - 1. Let v be t(-1). What is the highest common divisor of v and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*v = -277, -304 = -4*i - v + 283. List the prime factors of i.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180616881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 226*r - 15 = -224*r, 4*l + 2*r + 14 = 0. Let w(i) = -i**2 + 9*i - 5. Let z be w(9). Put l, 2, z, 3 in increasing order.\nAnswer: z, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 126030 = 18*h - 5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 33*a - 218 = 0. What are the prime factors of a?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -0*d. Suppose 14 + 6 = d*s. Find the second derivative of c + 8*c**4 + 3*c - 12*c**s wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3*(-5)\/20*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**3 - 9*d**3 + 4*d + 5*d**3 + 9*d**3 - d**2 - 2 to u + s*d**3 + j*d**2 + p*d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 5*y - 170, 22*y = a - 692 + 407 + 949 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2484486 and -65\/258.\nAnswer: 106832898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3122905542?\nAnswer: 2, 3, 17, 29, 313, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 - 3*b**3 + b**2 + 3*b**3 + (7021 - 7021 - 114*b**2)*(b + b - b)*(4 - 5 + 0) to the form w*b**2 + n + v*b**3 + q*b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 y, and 1 f when four letters picked without replacement from ynynfyy.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 21. Let o be p(-12). Suppose 3*d - 5*a + 0 = -o, 0 = -2*a + 6. What is the fourth smallest value in -0.3, -0.5, d, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 divided by 3\nAnswer: -101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x - 3*b + 327, 246 = 3*x + 2*b. Calculate the least common multiple of x and 11\/((-55)\/(-150))*(-48)\/(-120).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/12 - 4\/6 - 5. Let a be (-2068)\/1064 + p\/(-7). Let y = 3\/19 + a. What is the closest to 1 in 0.4, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + s - 1 + (s + 3*s - 2*s)*(1 + 2 - 4) + 4*s - 6*s + s - 7*s + 2*s + 4*s - 5.\nAnswer: -3*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1230 and 39360?\nAnswer: 39360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(80)\/sqrt(4) - (sqrt(500) + (-2*sqrt(500))**2 - sqrt(5))).\nAnswer: -2003 - 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 18*a - 205. What is o(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y**2 + 1940*y - 3780 = 0.\nAnswer: 2, 378\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - (-6 + 11) - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -n + 2. Let m be 6\/4*4\/3. Calculate the remainder when n is divided by 17\/m - 1\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y + 3*y**3 - 1 - 5*y**3 + 2*y**2 + 0. Let d be g(-5). Suppose 5*z + 94 - d = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 664*d + 2. Let o(n) = n**2 - 8*n + 5. Let k be o(7). Let p be m(k). Let s = 3943\/3 + p. Find the common denominator of s and -43\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17992, 17996, 18002, 18010?\n\"Answer: z**2 + z + 17990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 - 1. Let j(x) = -8*x**2 + 22*x. Let d(b) = b**2 - 3*b. Let v(t) = -44*d(t) - 6*j(t). Calculate -3*u(l) - 4*v(l).\nAnswer: -l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -881 - -517. Let n = 139 + d. Does 17 divide (6\/9)\/((-3)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**9\/252 - 229*y**8\/28 - 119*y**5\/2 + 150*y**2 - 25*y. Find the third derivative of x(s) wrt s.\nAnswer: 240*s**3 - 164880*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 3. Let i be d(2). Let t(w) = -w**2 + 7*w - i*w**3 + 2 - w**3 + w**3 - 5*w. Suppose 19*x = 26*x + 14. Determine t(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -561864?\nAnswer: -561866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(4\/9))**(10\/3)*s**16\/(s\/(s\/(s**(2\/17)\/s*s))) assuming s is positive.\nAnswer: s**(8140\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 2*b**2 - 132*b + 390. Let t be x(3). Solve 2*u - 12 = 2*a, -2*u - t*a = -8*a - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3710424 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/10 + (-4)\/10. Suppose -p - y = -4*p. Suppose 2*i - 5*n = 37, i + 6 = -3*n - 3. Solve u + 0*u = l + p, 3*u = 4*l + i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 8*x = -9*x + 31 - 90, 2*x - x - 325 = -91*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*b*f**4 - 2*b*f**3 + 2*b*f + 4*b + f**5 + f wrt f?\nAnswer: 456*b*f**2 - 12*b*f + 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 22, 46, 82?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23\/23627, -5, 1\/3?\nAnswer: -23\/23627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -612*w**3 - 707 + 1428 - w - 721 + (4*w + 0*w - 5*w)*(3*w**2 - 4*w**2 + 2*w**2) + 3*w - 3*w + 2*w**3.\nAnswer: -611*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2902431*y**4 + y**2 - 342*y - 1016 wrt y.\nAnswer: -69658344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:47 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 201361 - 2?\nAnswer: 201356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*k + 7445 + 5598 = 4315 - 2198 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*q\/(q*q\/q**0)*(q\/q**(-5))**(-2\/37))**(-34) assuming q is positive.\nAnswer: q**(12478\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/120 + f**5\/6 - f**4\/4 - 5*f**3\/3 + 3*f**2. Let x be g(9). Calculate the highest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -4, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 12:04 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 0, -39, -86, -135, -180, -215?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 14 = 14. Let w = 2 + 28. Suppose z + 5*z = w. Is z less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23433, -93781, -211101, -375453, -586897, -845493?\nAnswer: -1151301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-18) - 0) + (-832220)\/(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -1\/12*b**4 - b + 0 - 1\/6*b**3 + b**2. Determine r so that u(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - 10*u + 7*u. Let x(i) = -6*i**2 - 5. What is m(x(g))?\nAnswer: -6*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z + 3*z + (-2*z + 3 - 3)*(-2 - 3 + 4) + 0*z + 0*z + 2*z)*(-4 + 4 - 9*z**3).\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + j + 0*j)*(3 + 2 - 3) + (0 + 2 + 0)*(-4 + 4 + 2*j).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116729 is divided by 20159.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 7*r = 84 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = 15*p - 39*p. Solve 5*h - 2*d + 15 = 0, -d - 1 = -5*h - p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5218, -20578, -46080, -81724, -127510, -183438, -249508?\nAnswer: -325720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84231\/39793 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:45 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(24\/10)*-3. What is the closest to 1\/5 in 0.3, k, 17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 9*v - 8 = o, 28 = 12*v + 5*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-d**4 + d**2 - d**2) + (1 - 2 - 2)*(10*d**2 - 10*d**2 - 2*d**4).\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - v + 12. Suppose v*o + 0 = 6. What is the units digit of (o + -3)\/(-2)*18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167899?\nAnswer: 167899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/12*32\/24. Let r = 5 - 4. Which is the biggest value? (a) r (b) 5 (c) n (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:04 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 45*p**4\/8 - 5*p**3\/3 + 9*p**2 - 3. Is c(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iygyygyugi. Give prob of picking 2 i.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*l**4 + 33*l**3 + 4*l + 119067.\nAnswer: 88*l**3 + 99*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 10*g + 10. Calculate the lowest common multiple of n(9) and 16\/12*(-9)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-4 + 2 - 7)*(3*u - 6*u + u).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2. Let g be (-30)\/(-9) + 1\/(-3). Let u(p) = 0 + 6*p + 0. Let j(q) = -5*q. Let y(b) = g*u(b) + 4*j(b). What is y(x(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-384)\/(-264)*-22)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70572.\nAnswer: 2, 3, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*u + u + 10, -5*k + 16 = 2*u. Suppose 26 = 4*w - k*r, 2*w + 3*r + 0*r = -7. Solve -4*x + 5*q = -0*q + 21, -17 = w*x - q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - 0.26. Sort 0.3, t, -6 in decreasing order.\nAnswer: 0.3, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*h - 24, -2*h + 28 = h + 5*n. Let o be (21\/2)\/(39\/26). Which is smaller: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022171 rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppupppupp.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-3 - -7))*(-3)\/(-36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/4 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 6. Let y = 8 - q. Sort y, 0.3, 5 in descending order.\nAnswer: 5, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/7 - 8*i**4\/7 - 24*i**3\/7 - 32*i**2\/7 - 16*i\/7.\nAnswer: -i*(i + 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098 minus -29782?\nAnswer: 29781.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 0*s**6 + 0 + 0*s**3 - 7*s**2 + 0*s**4 - 1\/12*s**5 - 1\/70*s**7 + 0*s. Find the third derivative of k(m) wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173.8 - -122. Let z = m + 52. Which is the second biggest value? (a) z (b) -1 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -131721336155 from -22.\nAnswer: 131721336133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -95. Suppose j = -v + 5. Let g be (j - 203\/(-28))\/((-6)\/(-16)). Solve -2*c - 5*a - 3 = -0*c, -3*c + 3*a + g = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-42)\/9) + (-2)\/(-6). Suppose f*b - 60 = 2*b. Solve 3*h - b = 2*y, -h = -5*y - 4 - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 565563441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -17*g**2\/2 + 9*g + 14. Differentiate k(l) with respect to l.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439348.\nAnswer: 2, 7, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(936) - (sqrt(936) - (sqrt(936) + (sqrt(936) - sqrt(936)*-1)*6))))\/(4*(sqrt(200) + (sqrt(200) - 6*2*sqrt(200)) - sqrt(200))))**2.\nAnswer: 19773\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*r = 5*d - 15, 5*r = 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.46 + 48. Let p = s + -0.04. Let v = -20\/33 + -2\/33. What is the second smallest value in v, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*2 + 5)*3)**2.\nAnswer: 180*sqrt(3) + 333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102810 by 2.\nAnswer: -51405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3937*h - 27196. Calculate c(7).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, 3, -3\/7, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/((-88)\/1792)*6\/(-8). Suppose 4*j = -4*u + p, 38 = -5*j + 6*j - u. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -313\/4 + 83. Which is smaller: -0.2 or h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 8:21 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 3\/2 (c) 5.51946\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**5\/60 + r**4\/8 + r**3\/6 + r**2. Suppose 0 = -2*s - z, 5*z + 0*z + 20 = 0. What is the units digit of q(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8\/9, 3\/8, 4, -12.5, -2\/15, 5\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13301 + -7009. Let s = 177 + t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16593 + 16566. Sort 88, y, -2.\nAnswer: y, -2, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-114)\/(-42) + 6\/21. Suppose p = m*o - 5, 2*o + 12 - 72 = -5*p. What is the lowest common multiple of 12 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - -6 - (27\/(-9) - -2). Suppose 0 = d*k + 4*m + 16 + 18, m - 34 = 3*k. Let w(h) = -h**3 - 10*h**2 - 10. Give w(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4438216879 to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60.53 + 61. Let f = y + 0.03. Let t = 24 - 20. What is the smallest value in f, 2\/3, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6901391709 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32961)\/18 - 30\/36. Let h = 5131 + c. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -h - 45 + 42, 5*b = -2*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-58)\/4*4\/2. Let h = -17 - w. Suppose 0 = 3*o + h, -4*o = -3*d - 6*o + 43. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 9*f - 15. Suppose -151*t = -144*t + 70. Calculate u(t).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 0*c - 1\/3*c**3 - 2 - 1\/2*c**2. Find the second derivative of l(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u**3 - 4*u**3 + u**3)*(-3 + 0 + 0)*(2 + 3*u - 2).\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*2.385\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 2*p = -85. Suppose 5*f + 9 = u, -2*f + 22 = p*u - 4*f. Let q = 3 + -3. Solve q = -5*o - u - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43955798?\nAnswer: 2, 151, 145549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2095*n = 2098*n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -389 + 389.4. Let w = -0.17 - -0.24. Sort 4, w, m in increasing order.\nAnswer: w, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 0*u - 18090 + 54406 + 5*u**2 - 18157 - 18159.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 0 + -236 + 264\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -441\/5 - 303\/5*o + 141\/5*o**2 + 3\/5*o**3.\nAnswer: 3*(o - 3)*(o + 1)*(o + 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11)*c\/(((c*c**(1\/8))\/c)\/c))**13 assuming c is positive.\nAnswer: c**(1937\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, m: 3}. Give prob of picking 2 z.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -50 (c) 20 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62845, -125649, -188371, -250969, -313401, -375625, -437599, -499281?\nAnswer: -560629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/24 - 3) + (-2)\/8. Let v be (-44)\/(-6) + 1*u\/(-3). Solve 4*h + v = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.10726 * 33\nAnswer: 3.53958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 8*c**2 + 7*c + 1. Let z be j(7). Let r = 43 + z. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 9*s - 4*s as a + r*s and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11953 (base 10) to base 11\nAnswer: 8a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - a - 24, 3*k - 24 = 2*a + a. Suppose 0 = -364*g + 389*g. Factor 2\/3*q**2 + 4\/3*q**3 + 0*q + 2\/3*q**k + g.\nAnswer: 2*q**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 5*h - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let d = -7 + 3. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91842079 and 52481188.\nAnswer: 367368316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + 1.17. Which is the nearest to l? (a) 6 (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22024725211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 477 - 407. Suppose i = -5*g + 100. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -3, 1, -5 in decreasing order.\nAnswer: 57, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/4 - (132 - 132))*160\/6\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -100, -143, -178?\n\"Answer: 4*q**2 - 63*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.051895 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 - 34 + x**3 + 15 + 2*x + 20 - x**2 to g*x**3 + s*x**4 + h*x**2 + m + d*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, g: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -3139, 25, 5 in increasing order.\nAnswer: -3139, -3, 1, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 963836 + -244885. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171276*c**2*y**2 + 2*c**2*y + 3*c**2 + 54*c*y + 3*c + 29*y**2 - y wrt c?\nAnswer: 342552*y**2 + 4*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 309 = -81. Suppose -4*r - f = -244. Suppose -2*g + 46 = 4*n, 3*g = -3*n + 12 + r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*o + 20 = 196*o + 3*w, -o + 2*w - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l - 2. Let y be w(2). Let n be (36\/y)\/((-1)\/(-8)). Let v = n - -31. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 455 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2801.983 nanograms?\nAnswer: 0.000002801983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Suppose -20 = -3*b + b. Let z = 24 + -14. Let a(u) = -z - 4*u + b. Determine g(a(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/7, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*a + 5*y - 294, 2*a + 1033*y + 22 + 8 = 1029*y for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 4*v**3 - 3*v**3 + (3*v**2 - 6*v**2 + v**2)*(v + 4 - 4) - 3*v**3 + 7*v**3 - v**3 - 2*v**3 + 0*v**3 + 0*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122.629 - 0.729. Let x = 22.9 - h. Let c = x - -98.99966. What is c rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 610*c - 1812.\nAnswer: -2*(c - 302)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 273, 647, 1179, 1869, 2717?\nAnswer: 3723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-240)\/180*(0 - 6\/10). Determine h, given that 1\/3*h**5 - 2*h**3 + 0*h**2 + 0 + 0*h - 1\/3*h**o = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502\/(-695)*(-170)\/6426?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + (-3 - 0))*233. Let v be (4\/(-1) - -1) + u. Is -1 - ((2 - 2) + v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-42)\/(((f*f**(-2\/5))\/f)\/f)**(-23) assuming f is positive.\nAnswer: f**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277025945 to the power of 1\/2, to the nearest integer?\nAnswer: 16644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9747)\/456*56\/(-7). Solve -78*u + 375 = -r for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Let h = 16 - k. Find the first derivative of -22*v + 26*v + h - 3 wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + m. Let k = 0 + 1. Let t be p(k). What are the prime factors of 1*t\/((-10)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4049.6 - 2966.7.\nAnswer: -7016.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 - -14. Let x = a - -286. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 9*n + 45 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 5*h**2 - 2*h - 11. Let a(t) = -t**2 + 2*t - 1. Let u(d) = -a(d) + m(d). Calculate u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 3, a: 2, m: 2, e: 4}. What is prob of picking 1 e and 2 a?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x + 159. Calculate m(0).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1683526.95 milliseconds?\nAnswer: 0.002783609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2\/17 + 1802940*b\/17 + 1802938\/17 = 0.\nAnswer: -901469, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 8, 140\/23, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2265228*k**5 + 2904964*k?\nAnswer: -45304560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2. Let h(n) = -8*n**3 + n**2 + n + 1. What is the remainder when h(k) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 170 and -1.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -139*x**3 + 3*x + 23. Let a(v) = -698*v**3 - 2*v**2 + 16*v + 116. Let i(m) = 3*a(m) - 16*n(m). What is the third derivative of i(f) wrt f?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0226 - -33.9226. Let q = n - 34. Which is the closest to -0.1? (a) q (b) 2\/17 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*g**5 + 13*g**4 + 3*g + 3861.\nAnswer: -1740*g**3 + 156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 22 - (-16 + -15 + 33)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 14, n: 1, a: 2}. What is prob of sequence uu?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156414674 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - -2 - 14 - (3 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s**2 - 12*s + 2. Let w(f) = f**2 + f + 4. Let n be w(4). Suppose 0 = b - 5*b + n. What is the remainder when b is divided by i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o*v**4 - 136864*o*v**2 - 32*o + 2*v**4 + 5*v - 2520 wrt v?\nAnswer: 12*o*v**2 - 273728*o + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:36 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) + 1))*6 + (1 + sqrt(704) + -4)**2 + -1*(5 + (sqrt(1584) - (0 + sqrt(1584)))).\nAnswer: -48*sqrt(11) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7550.796 centuries to years.\nAnswer: 755079.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3249)\/1444*8\/132*-12?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77411 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + c - 15, -4*y + 0*c + 18 = 2*c. Suppose 5*p + h + 63 = 0, -2*h - 12 = y*p - 6*h. Calculate the lowest common multiple of 22 and 2 + p\/3 + 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.154, 0.5, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, a: 1, g: 2, b: 1}. Give prob of picking 2 g and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 281.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7 - 11 - 59*v + 3. Let b be k(1). Let q = b - -109. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7979374 + -29?\nAnswer: 7979345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 10*b**2 - 80*b - 75. Let r be q(-15). Sort 1, r, -71, -5 in increasing order.\nAnswer: -71, -5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 12:04 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 3*c**4 + 3*c**4)*(-2*c + 3*c + c) + 0*c**3 + c**5 + 0*c**3 + 4*c**5 - 3*c**5 - 3*c**5 + 45*c**4 + 35*c - 45*c**4 - 2*c**5.\nAnswer: c**5 + 35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 92.\nAnswer: -5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1104, -4, 0.06519, -1?\nAnswer: 1104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1591677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c + 159. Round c to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.8. Let o = 55 - 51. Which is the biggest value? (a) y (b) o (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -2*1*-1. Suppose x*k - 20 - 9 = -3*o, 0 = -5*k + 4*o + 13. Let b = k - 4. Solve -4*v + d = -8, 0*d + b = -3*v - d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -65*n + 14*n + 17*n + 20*n + 15*n - 1. Let g(z) = -2. Let c(l) = -l**2 + l + 1. Suppose 0 = -3*m + 4 - 1. Let b be c(m). Calculate b*g(j) - 2*x(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-341)\/124 + (-1)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145214 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 25*i**2 + 6*i - 1. Give z(25).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220 (base 6) to base 5.\nAnswer: 21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < 244684730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:40 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from akaaq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3437*k**4*v**3 - 22*k**4 + k**2*v**3 + 179765*k**2*v + 2*k + 2*v**2 wrt k?\nAnswer: -82488*k*v**3 - 528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i**2 + 5*i - 8. Let x(j) = -8*j**2 - j - 3*j + 65 - 58. Let w = -18 + 17. Let m = w + 8. What is m*x(a) + 6*u(a)?\nAnswer: -2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315 (base 6) to base 2.\nAnswer: 1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19409 + -19162. Which is smaller: r or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 124?\nAnswer: 49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 17130*w**3 - 14688965*w**2 - 29326560*w - 14654720.\nAnswer: -5*(w + 1)**2*(w + 1712)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*n - 3*n = 20, 0 = -5*q - 4*n + 97. Let v = q - 7. Let f be -12 + 11 + (0 - -1). Solve 0 = -f*a + 5*a - v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by -37\nAnswer: 110\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -127, -294, -537, -862, -1275, -1782, -2389?\n\"Answer: -c**3 - 29*c**2 - 3*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4114574738?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52380 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: Expand (8*l + l - 4*l)*(124 - 124 + 20*l).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -4526\nAnswer: 4525.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/36*237\/1975?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/31)\/((-56784)\/(-18928))?\nAnswer: -14\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*t**2 + 22*t**2 - 19*t**2 to g + a*t + o*t**2 and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000699112 rounded to 7 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*x - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514533584?\nAnswer: 2, 32158349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -13*k**2 + 4112*k - 192952. Calculate q(259).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-1065)\/10)\/(-3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 784212, 784240, 784268, 784296, 784324, 784352?\n\"Answer: 28*s + 784184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 232802933 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 14*h + 76. What are the prime factors of h + -4 - 2308*2\/(-8)?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*p**4 - 5 - 3*p**3 + 0*p**3 + 61*p**4 + 67*p**4 - 186*p**4 in the form g*p**3 + i*p + w*p**4 + t + o*p**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 divided by 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -896\/56605?\nAnswer: -896\/56605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 91b?\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29502*v - 253 + 253 + 68033*v.\nAnswer: 97535*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -82?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1151085, 4604595, 10360445, 18418635, 28779165, 41442035?\nAnswer: 56407245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 26 = -4*v, -4*n - 1 = -4*v + 7. Suppose -b + v*i + 1750 = 4*b, -5*i = -4*b + 1404. What are the prime factors of b?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/113 and -32\/7571.\nAnswer: 7571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6854 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4952223835.\nAnswer: 5, 13, 76188059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 4*i - 10 = 0. Let m be ((-5)\/20*-5)\/(i\/4). Solve 0 = m*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 58 = -78. Suppose f*j - 7*j = -234. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 543? (a) -0.14 (b) 26 (c) -0.1 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1338*i + 7945. Determine z(-6).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 9. Let t = -3 + -1. Let s(q) = -q**2 - 5*q - 1. Let w be s(t). What is the greatest common divisor of b and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2491 = 10*i + 2933, -2*b + i + 29 = -13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 3 - 2 + k. Let q be (6\/(-8) - (-4)\/(-16))\/1. Let s(d) = -2*d**2 - 7*d + 5. Let z(v) = q*s(v) + 2*i(v). Factor z(u).\nAnswer: (u + 3)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/18 and 17\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1 + 3\/(15\/460)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k + 13*k - 29*k - 4270 = 12*k for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -f + r + 136, 5*r = 3*f - 503. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.974 + -0.026. Let z = g + 39.999938. Round z to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-452 - -448)\/(6\/(-45))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45975199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-480)\/72*(-225)\/4. Let k = c + -368. Suppose 4*s = -16, 4 - 16 = -2*a + s. Solve -3 = a*o - k*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1977 - -4680. List the prime factors of b.\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21952 - 296553 = 5*l, 0 = -5*l + 10. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (27 + -24 - 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/5 + 24\/20*14. Let d(k) = 3*k - 51. Let t be d(j). Is t <= -4\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**4 - 5*s**4 + 4*s**4 + (6*s - 8*s - 4*s)*(-2*s**3 - s**3 + 0*s**3) - 2*s**2 + 2*s**2 + 2*s**4 + (0*s + s - 3*s)*(-2*s**3 - 2*s**3 + 2*s**3).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/29)\/(a\/(a\/((a*(((a*(a*a\/a**(1\/15)*a)\/a*a*a)\/a)\/a)\/a)\/a)))*(a**(-2))**(-9\/2))**(3\/31) assuming a is positive.\nAnswer: a**(3104\/4495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67171358 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4 - 14. Let a(x) be the first derivative of x**3\/3 - 5*x**2\/2 - 3*x + 17. What is a(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f**3 + f**2 - 2*f - 6. Let c(d) = 39*d**3 - 6*d**2 + 9*d + 30. Let v(h) = 5*c(h) + 24*i(h). Find w, given that v(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.7 and -229.\nAnswer: -222.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.15, -3\/5, 5, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/1535 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -544335.\nAnswer: 544336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2773.5 - 2773. Let i = 8 - 8. Let q = -3\/2 + i. What is the second smallest value in -0.1, 0, l, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 125 = 3*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2238*(-5 + (-93)\/(-18)). Suppose 0 = -6*y + j + 407. Calculate the remainder when y is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*s + 13 = 0, -2*x + 2 + 0 = 2*s. Suppose 0 = 4*z - 2*z - c - 182, -x*c = -5*z + 461. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + 3. What are the prime factors of t + (-22)\/(1 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -257*s**2 - 197*s**2 - 179*s**2 - 3*s**3 + 864*s**2 + 8*s**3 as z*s**3 + h*s + a + g*s**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 658812475 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73981.\nAnswer: 167, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose -g - h*n - 9 - 1 = 0, 2*g - n = 15. Suppose -2*c - 4 = 0, g*v + 3*c - 8 = 2*c. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(539))*-1 - (1 + ((sqrt(539) - sqrt(539)*-1) + sqrt(539))**2).\nAnswer: -4850 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5933, -5919, -5903, -5885?\n\"Answer: h**2 + 11*h - 5945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*(-306)\/27. Let g = -13 + n. Suppose 3*f - 5*q = 63, -f + 90 = 2*f + g*q. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -2*r - 2*r. Let u = r + -48. Let y(v) = v**3 - 5*v**2 + 8*v - 10. Let p be y(u). Solve 5*b - 15 = -a, -a - 25 = -p*b + b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**5\/80 - 7*y**4\/48 - 11*y**3\/24 - 5*y**2\/8 + 26*y - 2. Let h(g) be the first derivative of x(g). Factor h(q).\nAnswer: -(q + 1)**2*(q + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 49*y - 231. Give k(-43).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5283.77 to the nearest ten.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + o)*(5 - 4 - 3) - 2*o + 3*o - 3*o - 1253 + 1253 + 60*o.\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -0.4, 1\/77, 1\/6.\nAnswer: -33, -0.4, 1\/77, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 849738005 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85721.59 millilitres in litres?\nAnswer: 85.72159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*j = -1190*j + 28175 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5380*h**2 + 759 - 1525 + 766 to the form k + p*h + o*h**2 and give o.\nAnswer: -5380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 3. Calculate the greatest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v**3)\/(v**(5\/2)*v\/v**(-2\/19)) assuming v is positive.\nAnswer: v**(53\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -7*f. Solve f*q = 4*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.1. Let g be 1\/(-5)*(-10)\/(-4). Let u be 2 - (-11)\/(-6) - 3\/6. Which is the closest to -2\/5? (a) l (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)\/i*i*(i*i**(-16))\/i*i*i*i assuming i is positive.\nAnswer: i**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3073361322.\nAnswer: 2, 3, 283, 569, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v - 22. What is n(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-16))\/((-2)\/8). Let m(q) = 3*q**2 + 4*q. Is m(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178023 = 10*k - 516533. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002685997 rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 8 = 14*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 503\/27780 - 2\/1389. Let a = -3\/20 - p. Suppose -1 = 3*h - 4. Do a and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, n: 7}. Give prob of picking 1 r and 2 n.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/3*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -1011101101011?\nAnswer: -1011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3108189 grams to nanograms.\nAnswer: 310818900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11031*g. Let j(q) = 15*q + 12. Calculate p(j(b)).\nAnswer: -165465*b - 132372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000168429494 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, -1, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3090.13 - 3090. Put 0.19, j, -0.1 in descending order.\nAnswer: 0.19, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -22*t - 132. Let h be n(-6). Let w(r) be the first derivative of 1\/6*r**2 + h*r + 7 + 4\/9*r**3 + 1\/4*r**4. Factor w(v).\nAnswer: v*(v + 1)*(3*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 1005*y**3 - 117738*y**2 + 5869788*y - 106532616 = 0. What is y?\nAnswer: 62, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (16167\/12)\/(73\/292) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 872 = 852 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/((-1)\/(-40)). Let y = 2105 - 2123. Let c = y + i. Solve x = -c*v, 5*x = 6*v - v - 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*s + 2. Let c be 3\/s + (-49000075)\/175. Round c to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5 - 7 = 0. Let s = -2 - -3. Let m = s - a. Which is smaller: m or 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1155, -1156, -1159, -1164, -1171, -1180, -1191?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27592686 divided by 139357.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 53. List the prime factors of c\/(-2)*4*3\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 544193483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9595*n = 9026*n + 7397 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 520 + 520.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 281, 290, 299, 308, 317, 326?\n\"Answer: 9*y + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 2*v**2 - 942*v - 9. Give i(-29).\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 5. Suppose -o - i = 2*o, -w = 3*o + 8. Suppose w*a + 20 = 0, 4*h - a = -5*a. Solve -h*x + 16 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + b**3 - 2*b**3)*(-22*b - 21*b - 65 + 41*b).\nAnswer: -2*b**4 - 65*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 6:12 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -0*u - 20*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249 is divided by 624.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a2 (base 16) to base 13.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2903369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**2\/7 + 926504*u\/7 + 1852992\/7 = 0.\nAnswer: -231624, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.27*-0.2751\nAnswer: 0.074277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*(f\/f**(-2\/39))\/f*f)\/((f\/(f\/f**(-10)))\/f) assuming f is positive.\nAnswer: f**(587\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let b(x) = 5*x. Let w(d) = 3*d. Give -4*b(a) + 10*w(a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + -1*sqrt(162)*-3 + 2 + (sqrt(162)*2 - sqrt(162)))*2.\nAnswer: -3 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16)\/r**(3\/2))\/((r*r**(-3)*r*r)\/(r\/(r\/(r*r**(-2\/47)*r*r)))) assuming r is positive.\nAnswer: r**(-1367\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3003 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9760 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8341\/3 + 2895. Let a = g - 241\/2. Calculate the common denominator of a and -69\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 19. Let k(h) = h**3 - 8*h**2 - h + 9. Let w be k(v). Calculate the highest common factor of w and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*d + 16 + 202*d - 370*d + 3*d**2 + 6.\nAnswer: 3*d**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - -167 - (2 + -6 + 22)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42945 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -391945*a**2*l*q - a**2*q - 112*a**2 - 2973*a*q + 2*l**2*q + 22*l**2 - 2 wrt l.\nAnswer: -391945*a**2*q + 4*l*q + 44*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4\/5)*q*q)\/q**4)\/(((q\/(q\/q**(-2\/3)*q*q))\/q)\/q)**(30\/13) assuming q is positive.\nAnswer: q**(583\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.94 + -40. Let t = k - -9.06. Let p = t + -8.9. Which is the second smallest value? (a) p (b) 1 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73027391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1805 + 12665\/7. Find the common denominator of (52\/8)\/((-4)\/1) and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 61 + 36)*(6 - 10 - 5)*(-j**2 - j**2 + 4*j**2).\nAnswer: -1044*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 5*c - c)*(0*c**2 + c**2 - 3*c**2)*(3*c - 2*c + 0*c).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.8 + 16.1. Let z = a + 0.1. Let k = z + -19. Sort -2\/5, 2\/13, k in decreasing order.\nAnswer: 2\/13, k, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5))**(-26)*y**15\/y*y*y*y**(4\/17) assuming y is positive.\nAnswer: y**(2486\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 2. Let o(a) = 5*a**2 + 4*a - 12. Let d(f) = o(f) - 4*p(f). Calculate d(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8\/((a**9\/a)\/a))\/(a**(3\/10)*a)**(21\/2) assuming a is positive.\nAnswer: a**(-253\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 8 - 28 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 i, and 1 k when three letters picked without replacement from nddinznndnnnnaaziank.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71081, 284354, 639819, 1137482, 1777349, 2559426, 3483719, 4550234?\n\"Answer: i**3 + 71090*i**2 - 4*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -890289*m - 6232019. Give u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14775 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 1, s: 4, g: 1, d: 1}. What is prob of sequence dwg?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 2.3 (c) 5.1 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 0*f**2 + 3*f - 2*f**2 + 6*f**2.\nAnswer: f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)*l*l**(1\/2)\/l)**(6\/11) assuming l is positive.\nAnswer: l**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41261.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -127 (c) 6\/7 (d) -4 (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 10)*(-2*j - j + 7*j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401986368.\nAnswer: 2, 3, 7, 167, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -677 (c) -1\/4 (d) -4 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 - 99*o - 5. What are the prime factors of l(23)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264078107*s**5 - 359439426*s wrt s?\nAnswer: -5281562140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206808 is divided by 25850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 12. Let y be z(5). Calculate the remainder when 14 is divided by y\/(3 - 0) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -233115 - 155?\nAnswer: -233314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 62. Suppose -4*a = -g*m - 2610, 2*a = a + 2*m + 645. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -35*s**4\/2 - 20*s**2 - 44. Find the second derivative of h(z) wrt z.\nAnswer: -420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from clcccccccccccccccc.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 8) + (24\/4 - (3 - 1)). What is the third biggest value in o, 62\/11, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -19*p - 88. Calculate the remainder when 222 is divided by m(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15741355*j**3 - 12061668*j**2 wrt j.\nAnswer: 94448130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/10*(-2)\/3 - -1. Suppose 7*d - y*d - 4*h = 993, -5*d = -4*h - 1663. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330173 greater than or equal to 330198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/9)*k)\/(k\/k**4))**(-17)*(((k\/(k\/(k*(k\/(k**(-1)\/k)*k)\/k*k)))\/k)**(-12\/11))**(-26) assuming k is positive.\nAnswer: k**(4687\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + -151. What is the remainder when f is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 90*m - 52. Give i(90).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167742384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 + 8*q**2 + 18*q + 152. Calculate f(7).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/5 (b) 42 (c) -3\/2 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2576*l**4 - 30426*l**3 - 85654099*l**2 wrt l.\nAnswer: -61824*l - 182556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**3 + a + 4 - 9 + a - 2*a**2 - 10 + a**2 - 2*a**4 to the form u*a**2 + n*a + t*a**4 + w + g*a**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 - 5*n**2 - 26*n + 80. Let d be a(8). Calculate the greatest common divisor of d and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2516.95, -2\/23, -1 in increasing order.\nAnswer: -2516.95, -1, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1584) + 0 - ((sqrt(1331) - (sqrt(1331) + -4*sqrt(1331))*-1) + sqrt(1331)))*3*-6)**2.\nAnswer: 59616*sqrt(11) + 1890540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2876608, 2876609, 2876610, 2876611, 2876612, 2876613?\nAnswer: 2876614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3 + o + 5 + o**2 + 0 + 10*o**3. Let b be y(2). Let x = -6 + 14. What is the greatest common divisor of x and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1237 * 0.3\nAnswer: -371.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 408 and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-243)\/(-34) + -4*1 and 109\/22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**2 + 2*c. Let k be d(-2). Let v be ((-6)\/k)\/((-66)\/44). Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1595, -1513, -1369, -1157, -871, -505, -53?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -250, -10, -51, -3 in decreasing order.\nAnswer: 7, -3, -10, -51, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 442128 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 303\/33 - (-4)\/22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16122 is divided by 237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 1. Suppose x - 4*x + 39 = 3*q, 0 = -x + 4*q + 8. Suppose -v - x = 2*v. Calculate m(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 9*q - 22. Suppose -28 = -4*a - z, 5 = 3*a + 3*z - 7. What is the remainder when o(13) is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-18 - (12 - 6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43753 to two dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 549\nAnswer: -219.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 6604*f**3 - 5451602*f**2.\nAnswer: -2*f**2*(f - 1651)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 521\/295 - 53\/(56286\/(-36)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one halves of a day?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**3 + 4*f**3 + 15*f + 7*f**2 - 4*f**2 + 15. Let y(o) = o**3 + o + 1. Let l(h) = -q(h) + 15*y(h). What is the third derivative of l(g) wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(22)\/sqrt(2)) + sqrt(26)\/(sqrt(6)\/sqrt(3)) + sqrt(13) - ((2 + 0 + sqrt(13) + 0)**2 + -1)) + 1.\nAnswer: -15 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3657891, -3657852, -3657815, -3657780?\n\"Answer: -v**2 + 42*v - 3657932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z - z**2 + z**2 - 33*z**3 + 36*z**3 wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*n = -338*n + 274469. What are the prime factors of n?\nAnswer: 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -5, 7 in ascending order.\nAnswer: -5, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3*d, d - 3*d + 15 = 3*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*r + 15528, r - 23298 = -3*g - 2*r. Suppose -7*c + g = -0*c. What is c rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -3*y. Suppose 0 = 5*m + y + 1. Let c be (-4 - -3)*m*2. Solve 0 = 4*u + 2 + c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 174a6978 + -1?\nAnswer: 174a6977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2020.98 + 799.92. Round x to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from nddsp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2223003?\nAnswer: 2223001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 4, l: 2, a: 2}. What is prob of sequence wl?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Suppose q - 228 = -0*q + 5*k, q - k - 208 = g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 108 - 0. Let i be d*4\/6 - 4. Suppose -i*c - 3 = -o - 10, -1 = -o. Solve 4*b + 2 = -2*f - 20, 0 = -4*f + c*b - 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*b**3\/3 + 712*b**2\/3 + 1660*b\/3 + 416\/3.\nAnswer: -(b - 104)*(b + 2)*(7*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c - 11*c + 11*c)*(5*c**3 + 6*c**3 + 7*c**3)*(2 - 2 - 1)*(4*c - c - 2*c).\nAnswer: 144*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - b = -4*k + 8, -5*k + 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gll when three letters picked without replacement from {e: 1, l: 3, g: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 7*k + 3*k**2 + 13*k. Let v(s) = 18*s - 197. Let o be v(11). Let t(d) = -d**2 - d. Determine o*x(r) + 5*t(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = -15. Suppose g - y*v = -10, -3*v + 12 = 2*g + v. Let n(i) = -74*i**3 + 5*i + 5. Is n(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s. Give d(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/972735 and 43\/9.\nAnswer: 2918205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 209 = -10*m + 159, 5*u = 3*m - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*z - 1191*z = -593*z - 2*m - 16, -19*z - 2*m + 145 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - ((-8)\/2 - 2). Let j be (5200\/15)\/d*6. Suppose -7*f = -3*f - j. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31144.188 to the nearest one hundred.\nAnswer: 31100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m. Let t(x) be the third derivative of -143*x**5\/10 - x**2 + 129*x. What is o(t(b))?\nAnswer: -5148*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 79 + 3*g - 3*g + 2*g + 25*g - 15*g. Let a(s) = s**2. Calculate a(f(j)).\nAnswer: 144*j**2 + 1896*j + 6241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707.874ml to litres.\nAnswer: 0.707874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*p**(-6)*p*p\/(p**(6\/7)\/p)*p**(1\/6))\/(((p\/(p\/(p\/(p*p**(-2)))))\/((p**(-3\/7)*p)\/p))\/(p**(-7)\/(p*(p\/(p*p**1))\/p*p*p))) assuming p is positive.\nAnswer: p**(-719\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**5\/30 + 9*k**2. Let p(f) = 31*f**2. Determine c(p(l)).\nAnswer: -1922*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 9 + 59 = 0. Solve -3*s + r*s + 8 = -2*o, 3 = -s - 2*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 47 - 18*u**2)*(11*u + 13*u - 29*u).\nAnswer: 90*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148516, 2, -1376.\nAnswer: -148516, -1376, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r - 3*r + 3*r - 3*r + r - r + 0*r - r + (3*r - 2*r + 0*r)*(-3 + 2 + 2) - 2 - r + 2)*(0*r**4 - 2*r**2 + 3*r**4 + 0*r**2).\nAnswer: -9*r**5 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.94 - -0.26. Let z = -34098111 - -34098094.800189. Let m = x + z. Round m to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 78 = -16*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30773917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40*(-174)\/17864)\/(10\/(-132)).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4 - 5080*a**3 + 1617972*a**2 - 3220720*a + 1607824 = 0. Calculate a.\nAnswer: 1, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + w = 36 + 4, -97 = 5*i - 4*w. Let c = 7 - i. Let l = c - 11. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + p**3 + (33*p**3 + 27*p**3 + 9*p**3)*(70 - 164 + 77) to the form o + j*p + q*p**3 + r*p**2 and give q.\nAnswer: -1172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.11 - 0.61. Suppose -y + 2 = 1. Which is the nearest to y? (a) -0.2 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -4\/5 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 6*s - 4. Let p be j(6). Let f(w) = -7*w - 6. Suppose g = 5*b - 40, 3*b + 3*g - 27 = -3. What is the remainder when f(p) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = -q + 2*x, -3*x = -3*q. Solve -3 - q = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5575 is divided by 968?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 127. What is p(-17)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*s - 21*s + 2*s**3 + (2*s**2 + 2*s - 2*s)*(-7*s + 2*s + 3*s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568390572.\nAnswer: 2, 3, 409, 38603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1 + t + 1. Let d(z) = z**2 + 4*z - 3. Let v be d(-5). Let r(k) = k**2 + k**2 + k**v. Determine r(p(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**(-11)\/((((v\/v**(-1\/4))\/v)\/v)\/(v\/(v**(-4\/7)\/v))) assuming v is positive.\nAnswer: v**(-831\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -29*o + 22. Let i(w) = -16*w + 12. Let b(l) = 11*i(l) - 6*q(l). Give b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 2*v + 102. Let t be u(0). Suppose -12 - t = -3*n. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 63, 71?\n\"Answer: 8*y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -101, -4, -7.\nAnswer: -101, -7, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -21, -44, -77, -120, -173, -236?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -10. Let c = -1 - w. What is the lowest common multiple of c and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*h + 915 = -97*h + 217*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17381 by 6.\nAnswer: -17381\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(3*2*sqrt(12) + sqrt(12)).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88316779 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 4*b + 293 = 0, 4*b - 29 = -22*c - 19*c + 40*c for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1791*u + 364 = -8591. Factor -u + 9\/4*f - 1\/4*f**2.\nAnswer: -(f - 5)*(f - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9666*z - 109 - 106 + 215.\nAnswer: 9666*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2667 - -2662.5. Sort 5, 0.1, -6, 0, i in ascending order.\nAnswer: -6, i, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 21*s - 46. Let r be j(-19). Let t be r - -5 - -5*(-4)\/(-6). Factor t - 1\/3*p - 2\/3*p**2.\nAnswer: -(p + 1)*(2*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 333442.37 and -7191.\nAnswer: 326251.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -158656058706.\nAnswer: -158656058706.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 8*k + 7. Which is smaller: k or -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*x**3 - 962*x**2 - 240*x.\nAnswer: -2*x*(x + 120)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**3 - 2*r**3 + 5*r**3 - 2*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10124221*l**4 - 87714895*l**2 wrt l.\nAnswer: 242981304*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844*a - 1 - 846*a + 1692*a.\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41174453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - 47\/((-14382)\/(-1173)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -207, -3568, -12687, -30444, -59719, -103392?\n\"Answer: -480*u**3 + u**2 - 4*u + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1015 - 43775.28833.\nAnswer: -44790.28833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22122100 (base 4) to base 9\nAnswer: -64437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*q**3 + q**3 + 116*q**3 - 498*q**3.\nAnswer: -719*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 36*a**2 - 41*a - 100. What is m(-37)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5. Let q = 1.0985 + -0.0925. Let l = q - d. What is l rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**10\/7560 + d**9\/720 - d**8\/210 + d**7\/315 - d**5\/12 - 57*d**2. Let v(l) be the third derivative of x(l). Factor v(a).\nAnswer: -4*a*(a - 2)**2*(5*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 - -124.87. Let n = 0.17 - h. Let s = 0.9 + n. What is the smallest value in s, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1644 is divided by 815?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 60*k**2 - 148*k + 1643. Determine u(-57).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 - 10*h + 16. Determine r(5).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -3\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = c + 317, -5*j - 321 = 4*c - 3*c. Let t = -179 - c. Suppose 3225 = l - t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -44*h**2 - 39*h - 7. Let l(w) = -88*w**2 - 79*w - 11. Let c(g) = 5*b(g) - 3*l(g). Factor c(x).\nAnswer: 2*(x + 1)*(22*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 39 + 0*u**3 - 15*u**2 + 67*u**2 - 4*u**4 - 16*u**3 - 87 = 0 for u.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490.1 rounded to the nearest 10?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, u: 2, k: 4, o: 10}. Give prob of sequence nko.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u + 17*u + 129*u + 7882 = 787 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197 - 125. Is h a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -209*s - 3752 + 5006 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*m - 32 = 483*m - 2*z, -4*m - 4*z = -36 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2.8, -4, -2\/3, 3\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -3*(-4)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 2*p + 0 - 6*p - 1. Is c(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 6, 4, 73, -1.\nAnswer: -1, 0.4, 4, 6, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. What is the third derivative of -v**3 + n*v**2 - 4*v - 3*v**2 + 4*v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/4 + 396687*u\/4.\nAnswer: -3*u*(u - 132229)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-3)\/30))\/((-92)\/((-88872)\/345))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3812265522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/4 + 1 + -3. Let t be (0*3\/6)\/k. Solve -o + t*o = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 84*o + 81*o = 47, 3*o = -6*x - 57 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 22. Is -2\/25 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -149, -244, -349, -458, -565?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 353847*i\/2 + 1061523.\nAnswer: (i + 6)*(i + 353841)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 3*v**2 + 0 + 0*v**3 - 1\/3*v**4 + 0*v. Let n(a) be the third derivative of -a**4\/24 - 3*a**2. Determine n(s(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -6, -4 in descending order.\nAnswer: 7, 5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25 + 6*y**3 + 2*y**3 + 8*y**3 - 12 wrt y?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*a = 4*a + 75, -5*x = 2*a - 70. What is the least common multiple of 22 and x?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33003 plus 26?\nAnswer: -32977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7614432 - -1?\nAnswer: -7614431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.7 + 3.28. Let z = s - -1.42047. What is z rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7524\/(-108))\/((-495)\/135).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*m**2 + 807*m**2 - 519*m**2.\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -36, -28, -18, -6, 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*g - 5 = 0, 8 = 2*w + g + 4*g. Sort -27, w, 17 in decreasing order.\nAnswer: 17, w, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19042 to 3 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11619, -23259, -34931, -46641, -58395, -70199, -82059?\nAnswer: -93981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8558, 13949, 19342, 24737, 30134, 35533, 40934?\nAnswer: 46337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228*f**2*j**2*n - 14*f**2*n - 29*f*j**3 + f*j*n**2 - 2*j**2*n**2 + 760*j*n**2 + 2*j wrt j.\nAnswer: 456*f**2*n - 174*f*j - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/12 - 3*u**4\/8 - 47*u**3\/6 + 3*u**2. Is i(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-10 + 11)\/(2 - 1)). Calculate the remainder when 22 is divided by 3*h\/(-18)*21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0 - 8. Sort a, -1\/2, 1, 3 in decreasing order.\nAnswer: a, 3, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5903 + 15569 = 16*i. What are the prime factors of i?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/21*660\/(-40).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16071*n*v**2 - 35*v**2 - 10*v - 9 wrt n.\nAnswer: 16071*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 238 - 238. Suppose x = -5*s + 2*m - 6*m - 4, -2*s + 2*m = -2. Solve -g = -s*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 2:00 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + i - 8 = -n + n, -3*i + 9 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 515 divided by -11.\nAnswer: -515\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 498672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.301 > 738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5793199 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 49 = b. Let w be 2 - (-5 - b) - 3. Solve 0 = -w*i - 2*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 8 = -2*d + 2, -4*d - 16 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -7907?\nAnswer: 7909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232234 - -23501?\nAnswer: 300135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 11:35 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(85) + sqrt(85) + sqrt(85))\/(sqrt(5) - sqrt(35)\/sqrt(28)).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-32))\/((-101)\/18584)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1692, 3386, 5080?\nAnswer: 6774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + 10*w + 28. Calculate t(-5).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*3\/6*-19. Suppose 2*o = -v - 14, -5*v - 2*o - i = -v. Let y = -42.7 + 43. What is the third smallest value in v, -1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*d = -50, -3*d - 14 = -3*n + 10. Suppose w + 1 = -n*s + 11*s, 4*w + 1 = s. Factor 196\/5*j + w - 56\/5*j**2 + 4\/5*j**3.\nAnswer: 4*j*(j - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + 19*m + 28*m - 105 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 11:39 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37944 and 6082056?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/59 - 67\/236. Which is the nearest to o? (a) 2\/7 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*b + 49*b + 85*b as l*b + q and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.2 + -16.2. Let a = w - -22. Let x = 0.6 - a. What is the closest to 2 in 4\/5, -1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2029 + 26.7971. Which is the closest to s? (a) -3 (b) 4\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 37*j**2 - 69*j + 38. Let z be l(-35). Calculate the least common multiple of 1 and 1\/(-2)*-2*33\/z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1190 - 63370 = -20*s. What are the prime factors of s?\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(6\/7))*s**(-2\/15) assuming s is positive.\nAnswer: s**(-104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 751d + 3?\nAnswer: 7522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.155 + 0.575. Round z to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 1\/5 (c) 2 (d) 1\/9 (e) 1 (f) 222\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1 - (-18 + 16)) + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = -10. Let o = 0 - b. Solve o*l = -q + 4*l - 2, 14 = -4*q + 2*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyg when three letters picked without replacement from {y: 1, v: 3, u: 1, g: 3, h: 2, e: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -15.1. Let x = 0.1 - -0.9. Let p = -3 + x. Which is the nearest to -2? (a) p (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26432 and -11.\nAnswer: 290752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 76.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -68*f**3 + 2*f**2 - 2*f + 18. Let h be o(-6). Suppose 8*j = -26*j + h. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(k**3 + 2*k**3 + 4*k**3) - 6*k**3 + 7*k**3 + 5*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 708.9948 millilitres?\nAnswer: 0.7089948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48178, 48181, 48184?\n\"Answer: 3*k + 48175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - o - 4, -3*i + o = -0*i - 4. Let s = 494 - 499. Which is the nearest to 10? (a) i (b) -0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:33 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 2*a + 4. What is the smallest common multiple of 6\/15 - (-38)\/5 and o(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((6\/(-15))\/2)\/(194\/485). Put g, -3, 0.3, 81, 0.4 in ascending order.\nAnswer: -3, g, 0.3, 0.4, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13188.7 in 5, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose 2*l + 143 = -5*f, 5*f - 3 = -8. Let w be (-1)\/(-3) + l\/(-9). What is the greatest common divisor of w and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 3*b**2 + 3*b + 12. Let a be l(0). Put 21, a, -5 in descending order.\nAnswer: 21, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5818 or 5819?\nAnswer: 5819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 6*r - 3. Suppose 3*s - 3*i + 0*i = -18, -s - 4*i = -19. Let n(h) = 283*h**2 + 1 + 6*h - 284*h**2 - 4*h. Let a be n(s). Determine t(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7) + 15 + -2 + (63 - (12 + 24)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17896, 71165, 159942, 284221, 443996, 639261?\nAnswer: 870010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 - (8 + 0)) - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 9 + 59 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**8\/504 - a**7\/45 + a**6\/12 - 13*a**5\/90 + a**4\/9 + 8*a**2 - 6. Determine h so that f(h) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7)*((-342)\/18)\/19?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Suppose 2*q - k = 4. Suppose -4*v + q*j = -14, -5*v = -0*v - 2*j - 21. Solve 2*m = 5 + v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1302 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2. Let z(j) = 481*j. Give z(w(o)).\nAnswer: 481*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**3 + q + 1. Let p be k(-1). Differentiate 10*c**p - 11 + 10 - 8 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0667225189 rounded to five decimal places?\nAnswer: 0.06672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + (-6 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312740, 312750, 312760, 312770, 312780?\nAnswer: 312790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81353797 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 + -181.08. Let n = z - -10. Let y = n + 0.48. Put y, -2\/7, -0.3 in descending order.\nAnswer: y, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 72 = -3*p. Let q(o) = 6*o**2 - o + 2. Let c(u) = 7*u**2 + 3. Let j(x) = -5*c(x) + 6*q(x). Give j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4749.9137477357 + 0\nAnswer: 4749.9137477357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 + 228972*n**3 + 13106357258*n**2 - 78645241836*n + 65538655605 = 0 for n.\nAnswer: -114489, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 17 = f - 9, 0 = -5*k. Let s(q) = -q**3 - 8*q**2 - q + 7. Give s(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 6. Suppose -t + 0 = -g. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/61993 or 0.7?\nAnswer: 1\/61993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 3)*-1 + 2. Let o be r\/(3 - 36\/10). Solve 5*c + 6 = -4*i, c + o*i + 2 = 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 5:08 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 13505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 11 - -8) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w - 2. Suppose -59*n + 2 = -58*n. Let d be (n\/36)\/(w\/8). Are -1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13127774 and 1870.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 34*h**2 + 123*h + 90.\nAnswer: (h + 1)*(h + 3)*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 2710978573.211.\nAnswer: 2710978569.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148\/19 - 226\/19*u + 80\/19*u**2 - 2\/19*u**3.\nAnswer: -2*(u - 37)*(u - 2)*(u - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.9 * 0.33\nAnswer: 7.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-28405)*19 - ((-53556)\/10833 - -5).\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2472 and -91\/64392.\nAnswer: 6632376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -81866695.\nAnswer: 1\/81866695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/48)\/(-1))\/2*32\/(-140).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:56 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2077*t - 14109 + 7394 = 12104 + 24798 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/6)\/(15\/20). Suppose -9 = -h + t + 10, -s*t = -4*h + 74. What is the least common multiple of h and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2760 divided by 690.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 30 - 25 - 32 - 32 - 33 + 138*i. List the prime factors of m(7).\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(1080)\/sqrt(6)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 790073 take away -201770131?\nAnswer: 202560204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)\/d**(3\/14) assuming d is positive.\nAnswer: d**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 774 + -0.08\nAnswer: 773.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1342 + 0.5942. Let d = -0.4 - -0.24. Let x = z + d. What is the nearest to -2\/3 in -2, -2\/9, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/16 + (-24321)\/(-69948) and 115\/6.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - (1 + (-2019)\/(-36)). Let s = h + 1928\/33. Is 0.2 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 0*m + 11 - 3\/2*m**2. Let q(l) be the third derivative of -l**5\/10 + 5*l**2. Determine q(i(a)).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.57?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 3, 30608 in decreasing order.\nAnswer: 30608, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -335 + 2349\/7. Which is the biggest value? (a) 1 (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 2*q**2 + 2*q**2 + (-3 + q + 3)*(0 - q + 0) - 2*q**2 - 1 + 1 + 2*q + q**2 - 2*q)*(1 + 5 - 4).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10597 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -35*o**3 + 219*o**2 + 12694. Let v(h) = 6*h**3 - 36*h**2 - 2116. Let b(w) = -4*l(w) - 25*v(w). What is the first derivative of b(t) wrt t?\nAnswer: -30*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*k + 5*f - 4, 0 = -f + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -23. Suppose 7 - f = -4*s. Solve -h + s*h = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/23211 + -92858\/162477. What is the closest to -0.01 in 0.29, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6*m - 11 = 0. Suppose -53 - 2 = -m*q. Solve -3*t + 8*t = -q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.6 (b) -10 (c) -3820\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*r = -5*k - 16560, 5*k + 8*k + 229 = 15*k + 3*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 14, o: 5}. What is prob of sequence okk?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/17 + -115\/187. Which is bigger: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -4*t**6\/135 + t**5\/18 - t**4\/54 + 7*t. Factor d(v).\nAnswer: -2*v**2*(v - 1)*(4*v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**3\/6 + 3*b**2 + 5*b. Let f(h) = -77*h - 3996. Let c be f(-52). Calculate r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 2 v when four letters picked without replacement from {i: 2, v: 4, h: 1, x: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131 and 135192.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c + 342. Let t(g) = 845*g**2. Calculate s(t(j)).\nAnswer: -5070*j**2 + 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/10 and -95\/9128.\nAnswer: 45640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3234\/(-28)*((-8)\/(-6))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77229400 to the nearest 1000000.\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 217262558 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 5, m: 8, z: 4}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*l + 36*h**2*s**2 + 13516*h*l**2*s**3 - 3*h*l**2 - 182907*h - 2*l**2 wrt s?\nAnswer: 72*h**2*s + 40548*h*l**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 233, 237, 249, 275, 321, 393, 497?\n\"Answer: g**3 - 2*g**2 + 3*g + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6269 a factor of 1040835801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 - 4 + 4 + (2*z + 3*z - 7*z)*(-z + z - z**4) + 5*z**3 - 4*z**5 - 5*z**3 + z**5 - 3*z**2 + 3*z**2 + (-9 - 2 - 1)*(-2*z**3 + 2*z**3 + 2*z**5).\nAnswer: -26*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 - 7 + 7.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:32 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19743745 a multiple of 3129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 140144?\nAnswer: 140133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 0.0511 (b) -0.08 (c) -1\/5 (d) 1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 88*z + 1785.\nAnswer: -(z - 105)*(z + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 222 + -2444\/11. Which is the nearest to -1? (a) -1 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:52 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/8534545 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(58\/812 + (-108)\/(-56)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14821, 15372, 15925, 16480, 17037, 17596, 18157?\nAnswer: 18720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 2, -2, 0, 271 in descending order.\nAnswer: 271, 2, 3\/4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 2:00 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -76.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 168.25164 months?\nAnswer: 0.1402097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 4*s**2 - 2*s + 3. Let i be y(-3). Suppose i = -5*q - 2 - 3. Let d = -12245.2 + 12245. What is the fourth biggest value in d, q, -2\/9, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694093*d**2 + 324717*d**2 - 340306*d**2 + 364640*d**2.\nAnswer: 1043144*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*x - 2 = -2*b, -23 = -2*b + 3*x. Suppose 0 = -b*z + 3*v + 117, z + 2*v + 33 = 2*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -234495050, -234495051, -234495052?\n\"Answer: -m - 234495049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 43*y**4\/4 - 46*y**3\/3 - y**2\/2 - 62. What is the third derivative of q(h) wrt h?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -114, 0, -4, 4 in decreasing order.\nAnswer: 5, 4, 0, -4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {d: 1, s: 1, l: 2, b: 1, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -2)*10\/(-4). Suppose -s*h + 4*h - 6 = 0. What are the prime factors of (h\/15)\/((-2)\/560)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/3))**(6\/19)\/(j**(-1)*j**5))**(1\/11))**(8\/9) assuming j is positive.\nAnswer: j**(-592\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31, 68, 105, 142, 179?\n\"Answer: 37*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m. Let q(s) = s**2 + 1. Let g be q(m). What are the prime factors of g\/(-3) - 25\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100 - -524?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 13*b**2 - 2*b + 37. Calculate j(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 2*z**2 - 3*z - 1. Let j be c(2). Let v(g) = 3*g**2 + 7*g - 11. What is the tens digit of v(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -d6?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/6 - 8\/(-12). Let p = 0.4 + -0.4. Is l greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238781953 to the nearest integer?\nAnswer: 15453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:02 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2082, -8312, -18696, -33234, -51926, -74772?\nAnswer: -101772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 1, -10\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 + 10680\/(-18). Let p = l - -311. List the prime factors of p\/(-8) - (-10)\/(-8).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j**2. Let v(m) = -5 - 3*m**2 + 10*m - 10*m + 8*m**3 - 2*m**2. Let s be (1 - -1)*(-5)\/2. Let z(g) = s*n(g) + v(g). Differentiate z(k) wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**2 + 0*a + 1\/3*a**3 + 0.\nAnswer: a**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j + 25*j - 146*j.\nAnswer: -107*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 11*q + 2*q)*(4 - 4 + 1).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - ((-13 - -26) + 5)) + -7 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(((-200)\/(-30))\/(-10)). Solve 34 = -p*u - 11*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**3 - 15*u**2 + 3*u + 8. Let a be r(-3). Let d(c) = -4 - 9*c + 8*c - 13*c. Does 3 divide d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 2*n**2 + n - 3. Let t be b(0). Let d(a) = a**2 + 2*a - 4. What is d(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -42. Suppose 5*i - g*i = -j + 1414, 0 = 4*i - 3*j - 5621. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 11 = 65. Let g be ((-15)\/6 + 3)*18. Solve -3*t - g = 0, -3*t - b + 3 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.498 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c - 2*c - 4*c + 2*c + 0*c - c - 4 + 4 + (1 - 1 - 1)*(0 + 0 + 2*c) - 4 + 4 - c + (0*c + 0*c + 2*c)*(2 - 3 + 0)*(1 + 5 + 0))*(0 - 4 + 5).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28572679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -35, -47, -55, -59, -59, -55?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = -2*v - 1, 2 = -m - 2*v. Suppose -4*d - d + 90 = m. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 118 - 186?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 15*j + 624 = 37*j for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let n(f) = -f**2 + 2*f. Let p(m) = 301059*m**2 - 150527*m**2 - 150527*m**2 - 9*m. Let g(j) = l*p(j) + 9*n(j). Let x(y) = -73*y**2. Give g(x(d)).\nAnswer: 5329*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 - 15*v**2 - 34*v + 42. Let b(j) = -35*j**3 + 180*j**2 + 410*j - 505. Let x(h) = -2*b(h) - 25*n(h). Factor x(p).\nAnswer: -5*(p - 4)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 0.06.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 261 (b) 0.2 (c) 2\/13 (d) -27902\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + o**2 + 12*o**3 + 0*o - 483*o**4 + o + 484*o**4 - 4 as b*o**4 + f*o**2 + u*o + k*o**3 + s and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**5 + 10123*o**4 + 19*o**3 + 2*o**2 + 47105*o + 1?\nAnswer: -60*o**2 + 242952*o + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744267441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 - 3 - -5 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -16\/33019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i - 138. Let c be f(-12). Let v be (-48)\/c*6\/4 + 1. Solve 0 = 3*w + v*t - 17, -2*t = -5*w - 7*t + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/6, -100\/31, -5 in increasing order.\nAnswer: -5, -100\/31, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**14)\/s)\/(s\/(s\/(s**(4\/21)*s))))**(42\/13) assuming s is positive.\nAnswer: s**(538\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(1029))\/sqrt(7))**2.\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 0.96. Let h = -1.08 + 1. Let w = h - -3.08. What is the second smallest value in 4, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*g**2 - 766 wrt g.\nAnswer: 148*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(288)*-1*1 - (sqrt(288) + -2 + sqrt(288) + -1*sqrt(288))**2).\nAnswer: -36*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-27 + (10 - 1)) - (-2 + 11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 3\/5, -1\/5, 1\/241?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14428000 to the nearest 100000.\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 4*g + 3 + 9. Let w be p(-10). Solve 0 = -4*s - w - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 22266861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -133, -314, -571?\n\"Answer: -38*p**2 + 9*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 42 + 47 + 39 - 165 - 15*n + 46. Let m(k) = 2*k. What is m(z(p))?\nAnswer: -30*p + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 - 11*t**5\/60 - 11*t**4\/24 + 4*t**3\/3 - 7*t**2. Let a be n(12). Calculate the highest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9402 or -9400?\nAnswer: -9402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 12. List the prime factors of d(4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*c = 23, 5*x = 3*x + 5*c + 12. What is the remainder when 39 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 + 14*y**2 - 20*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 227213884 to the power of 1\/3, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1656*f. Let o(v) = -3*v**2 + v - 64. Determine l(o(j)).\nAnswer: 4968*j**2 - 1656*j + 105984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)*j)\/j*j**(1\/2))\/((j\/j**(3\/2))\/((j**(-7)\/j)\/j)) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 3:52 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 11764?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27, -2\/7, 1\/5, -0.2, 251?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2392, 9736, 21978, 39112, 61132?\n\"Answer: -v**3 + 2455*v**2 - 14*v - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14.6427 millennia?\nAnswer: 146.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -5*i**4\/4 + 4*i**3\/3 - 9*i**2\/2 - 4*i. Let t be c(-7). Round t to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(275) - (sqrt(275) + sqrt(275) + -2)) + 2 - 6*2*sqrt(275)))**2*-6.\nAnswer: -278856 - 780*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -41, -50, -63?\n\"Answer: -2*d**2 + d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 590 by 590.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - m + 0)*(-m**3 + 5*m - 5*m) - 37*m**4 - 31*m**4 + 23*m**4 - 2*m**4 - 3*m**4 - m**4.\nAnswer: -50*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14146 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83487136217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 765898 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, -3\/5, -111.2, 3\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 = 116. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aijaaiajjii. What is prob of picking 1 a and 1 j?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 44 = 3*z. Is (-1116)\/(-30)*15\/z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9895502 times -4?\nAnswer: -7.9582008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11311 + 11273. Let k = 10 - 6. Which is the nearest to -0.1? (a) 1\/2 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99b (base 15) to base 8.\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 19\/((-380)\/156) - (-91)\/(-5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/20)\/((((-216)\/3)\/(-12))\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 58 - 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -0.047?\nAnswer: 0.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3913490 to the power of 1\/2, to the nearest integer?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1062*o. Let q(p) = -2*p. Determine a(q(g)).\nAnswer: -2124*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let d(g) = -16*g. Give -d(l) - 6*m(l).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (21 + -23)*(-4 - (-19953)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97*w - 55*w**2 + 97*w + (3*w - 2*w + 2*w)*(0*w + 6*w - 4*w))*(-w - 2*w + 10*w) in the form b*w**3 + g*w + z*w**2 + j and give b.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -213*u + 3619. Let v be t(17). Which is the nearest to -39? (a) -1\/3 (b) v (c) 1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + 3*sqrt(68))*1 + sqrt(68) - sqrt(68))\/((sqrt(144) - sqrt(4))*-5).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 15*l - 341. Let r(o) = -o**2 + 7*o - 166. Determine 3*h(m) - 7*r(m).\nAnswer: 4*m**2 - 4*m + 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 + 6635*z\/2 + 13271\/4.\nAnswer: -(z - 13271)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-5))\/(3\/10). Let n be ((-4)\/y)\/((-1)\/2). Let u = 7.3 - 7.3. Which is the nearest to u? (a) -2 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 + 129. Is a\/((-10)\/(-4926)) + -6 + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2709*g**2*n**4 + g**2*n - 106*g*n**2 - 117970*g*n + 2*g - 1 wrt n?\nAnswer: -32508*g**2*n**2 - 212*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 12*p - 4. Let z = -884 - -888. Let g be i(z). Solve -16 = -2*k + 4*b + g, -k + 24 = -4*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551*q = -554*q + 231. What is the smallest common multiple of 483 and q?\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9320*q**5 - 6*q**2*v**2 + 2396022*q - v**2 wrt q.\nAnswer: -186400*q**3 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-48)*2*10. Let b = 0.09 - 0.09. What is the closest to 6 in a, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.5, -3\/8, 32434, 1, 3, -0.1, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12299*f - 61458*f + 12377*f + 12183*f + 12102*f + 12019*f.\nAnswer: -478*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 647, 648, 651, 656?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -219026, -438055, -657084?\n\"Answer: -219029*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*o + 404 = 92, 97 = c + 4*o. Does 5 divide (-1)\/((-2)\/560) + c + -109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.1 (b) -2.8 (c) -437 (d) -1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 2 - ((-30)\/40)\/((-1)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 5*r + 3*r)*(-3*r + 3*r + 2*r)*(2 - 1 + 1)*(2 + 3 - 3)*(-1 + 3 + 0).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*d**3 + 2*d**2*s**3 - 245*d*s**3 - d wrt d.\nAnswer: -354*d + 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56033 - -54633.84. Round h to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {e: 1, i: 4, p: 2, q: 4, z: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c. Let g(a) = a - 13. What is g(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 22407.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - 3*sqrt(1377)) + 5 - (sqrt(153) + sqrt(153)*3 + 2)**2.\nAnswer: -2447 - 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 4025*o + 103986. What is b(26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55217678 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/140 + 503\/420. Factor -4\/3*v**3 + 1\/3*v**4 - z*v + 2*v**2 + 1\/3.\nAnswer: (v - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4\/8 + 9*f**3\/8 - 75*f**2\/4 - 99*f - 120 = 0. Calculate f.\nAnswer: -5, -4, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/30 and 92\/2715.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 62158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-5)\/20*1\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 14 + 4. Suppose -t*p - a - 9 = -6*a, 5*a - 21 = -2*p. Is (30\/8)\/(p\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3797 and -4.2.\nAnswer: -15947.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 60 - 1641*h - 56*h - 29.\nAnswer: -1697*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92798, -92797, -92796?\nAnswer: -92795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -889?\nAnswer: -2\/889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 + 4*m - 3. Suppose -33*y = -26*y - 14. Give d(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 414388.9t?\nAnswer: 414388900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, i: 16}. Give prob of picking 2 i.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2880 and -133\/750.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(204) + sqrt(204))*3)\/((sqrt(24) + sqrt(96))\/sqrt(2) + sqrt(12)) + (sqrt(833) + sqrt(833)*-2 + sqrt(833) - (sqrt(17) + -4 + sqrt(612))).\nAnswer: -11*sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108\/725 - -1009601\/2175. Does a = 465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = l - 3, 5*l + g = 20. Solve c = -2*f - c + 10, -f - 3 = -l*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((-12 - -11) + -12)) + -36?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -250 - -255. What is the common denominator of 41\/28 and (1 - (-53)\/(-24))\/(c\/15)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 755.0485 weeks in nanoseconds?\nAnswer: 456653332800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -2, 2\/3, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6362718.\nAnswer: 2, 3, 1060453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 51. Let c(n) = 29*n**3 - n**2 - 3*n + 3. Let x be c(q). Solve -x + 8 = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -29.91. Let a = 0.29 + i. Let l = a - 0.20023. What is l rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62231 - 105871. Let o = u + 92526. Suppose 2*l + o = -291114. Round l to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22631568.345000246 - -22631593.345. Let p = -2060 + 2085. Let s = z - p. What is s rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19407850 is divided by 24850.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232460552 - -81646228. Let h = r - -109491181835\/726. Let i = h - 26\/121. Find the common denominator of -7\/33 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/(h\/h**(-1\/5)))\/(h**12*h*h*h*h**(8\/7)*h) assuming h is positive.\nAnswer: h**(-607\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -43*j - 21. Let r(g) = 23*g - 2. Give -2*r(x) - v(x).\nAnswer: -3*x + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h - 147*h + 444*h + 361*h.\nAnswer: 689*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1833407 (base 10) to base 6\nAnswer: 103143555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -49, 36, 209, 500, 939, 1556, 2381?\nAnswer: 3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -181*d**3 + 15*d**2 + 31*d + 172. What are the prime factors of f(-6)?\nAnswer: 2, 11, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 14 = 3*c. Let y be (-74)\/c - (-14)\/(-49). Solve 5*d + 10 + y = 0, -5*b + 4*d = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c**9\/c)\/c)\/c)\/c)\/c**(2\/17))**(1\/26) assuming c is positive.\nAnswer: c**(50\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 - -233. Solve 0 = -11*p - 7*p - d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n - 20, n = 2*l - 4. Let c(a) = a**3 - 5*a**2 + 2*a. Let j be c(l). Does 30 divide 117 - (-12)\/j*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/15 + 2272*q**3\/5 + 5841212*q**2\/15 + 3860128*q + 28866010\/3 = 0. What is q?\nAnswer: -1699, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*w**5 + (2*w**4 - 4*w**3 + 4*w**3)*(-3*w + w + 0*w) + (7*w**2 + 55*w - 55*w)*(26*w**3 + 15*w**3 - 6*w**3).\nAnswer: 243*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 123, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(57)*3*-3)\/sqrt(3).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5744971 - 5744840.00124. Let q = -131 + o. Round q to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/42 and 1119*(-3)\/420 - -9.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24838 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -284215*n**2 + 2*n - 106302 wrt n.\nAnswer: -568430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10424 - 10423.4. What is the second smallest value in -17, 0.3, 0.9, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*c**3 - 3 + 7*c + 9*c**2 - 192*c**3 - 15*c + 5*c + c in the form s*c**2 + n + m*c**3 + p*c and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 6*k - 278, 8*r - 3*r + 275 = -5*k. Let m(f) = -f**3 + f**2 + 1. Let g(i) = 65*i**3 - 52*i**2 - 52. Give r*m(j) - g(j).\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*b + 342 = -136*b. Solve -13 = -3*g - b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*s = 27, s = 5*h - 3*s - 40. Let f = h + -13. What is the closest to f in 4, 2\/7, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69404660 divided by 5.\nAnswer: 13880932","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(-22)*o*o**(5\/6)*(o**3\/o)\/o*(o*o\/((((o**(1\/5)\/o)\/o)\/o*o)\/o))\/o assuming o is positive.\nAnswer: o**(919\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-37158)\/(-57) + ((-36)\/19 - -2)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 13*f**3 + 26 + 27*f - 4*f**4 - 25*f + 11*f**3 to k + q*f + a*f**3 + s*f**2 + m*f**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.051 to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -3. Suppose -2*m + 0*m = -u. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 435421012 + -2?\nAnswer: 435421010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (100\/8)\/5 - 1\/(-2). Suppose -2*x - y*w = -14827, 3684 = x - 3*w - 3752. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 21. Which is the second biggest value? (a) g (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*a + 7, 0 + 3 = m - 2*a. Let k(z) = -z**3 + 4*z**2 + 5*z + 2. Let b be k(m). Let s = 4 - 2. Is b at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {m: 1, i: 1, y: 2, o: 4, w: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43627844 or -43627845?\nAnswer: -43627844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 21, -1\/54 in decreasing order.\nAnswer: 21, 2, -1\/54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 44 - 94 + 42. Let n = 3 + -3. What is k(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 5*s**2 + 6*s - 3. Give k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21774 (base 8) to base 12\nAnswer: 53b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19374, 39654, 59932, 80208, 100482?\nAnswer: 120754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0*v)**3)**1\/((v*(v\/v**(2\/7))\/v)\/(v**(5\/2)*v)*(v**(4\/9)*v)\/((v\/v**2)\/v)) assuming v is positive.\nAnswer: v**(673\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 4*z + 4. Let i be y(-4). Suppose 8*b + 9*b - 34 = 0. Let w be b\/8 + (-44)\/(-16). Solve 0 = -w*x + 2*x - i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 - -257. Suppose -7*w + 3*w = -y, 5*p - 85139 = -4*w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2) - 6\/(-12). Suppose -o = -2*n + 1, -2*n - 5*o + 2 = -5. Let j be n - (-22)\/a - 3. What is the greatest common divisor of j and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -4, 0.3, 0.064?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l**3\/3 + 4040*l**2\/3 - 29918*l\/3 + 12364 = 0. What is l?\nAnswer: 11\/7, 6, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -56*o - 37. Is y(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*x + 133*x - 36 = 0. Let k(v) be the third derivative of 1\/60*v**5 - 2\/3*v**3 - 3*v**2 - 1\/12*v**x + 0*v + 0. Calculate k(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*h, 4*q + 3*h - 24 = 32. Solve -5*g - 2 = -5*t - q, t + g = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 8*b = 6, b = 2*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/38 + 1\/114. What is the nearest to -1\/4 in 6, 1\/4, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -49*s**2 + 42*s - 5. Let g(h) = 74*h**2 - 63*h + 8. Let u = -5 + 10. Let t(y) = u*g(y) + 8*a(y). What is the second derivative of t(n) wrt n?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.3 + -9. Let q = -3.3 + i. Let u = 178.99 + -179. Which is the second biggest value? (a) 0.3 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) -42.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -341223432 (base 6) to base 5\nAnswer: -3043133304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25570, -25586, -25620, -25678, -25766, -25890?\n\"Answer: -p**3 - 3*p**2 - 25566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -600, -714, -878, -1104, -1404, -1790?\nAnswer: -2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2 - 2)*(q**3 + 2*q**4 - q**3) + (0*q**4 + 2*q**5 + 0*q**4)*(3 - 5 + 0) - 2*q**4 + 2*q**4 - q**5.\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y**4*y)\/y*y**(-5\/3)*(y*y**(1\/3))\/((y*y\/y**1*y)\/y) assuming y is positive.\nAnswer: y**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.71, -0.2, 92338.\nAnswer: -0.2, 2\/3, 0.71, 92338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 123\/30)\/(3 - 2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -196, 0, -1417 in decreasing order.\nAnswer: 1, 0, -2, -196, -1417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/160 + p**5\/10 - 9*p**4\/32 - 9*p**3\/4 + 7*p**2 - 4*p. Factor h(c).\nAnswer: -3*(c - 6)*(c - 3)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - 1) + (-3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + -1)*(-4)\/(-8). Let i be -4 + (q - -8)\/4. Let c be (2\/(-4))\/(i\/126). Is c at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 2*l + 1. Let z be m(-3). Let w = z + -2. Factor -w*x**3 + 3*x**3 - x**2 + x - x**2.\nAnswer: x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -4 - 7 - -9. Suppose u*a = -3*m + 45, -7 + 10 = a - 5*m. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/7 - 4743944*a\/7 - 14231814\/7 = 0. Calculate a.\nAnswer: -2371969, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmgmvmmmmgdgg. Give prob of picking 1 d and 2 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9016, -9015, -9014, -9013, -9012?\nAnswer: -9011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -220*t**2 + 7315*t - 41448. Determine j(26).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*194504.8.\nAnswer: -38900.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188 divided by 349?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485260 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -509057907+-924764\nAnswer: -509982671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11791306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70, 95, 94, 55, -34, -185?\n\"Answer: -2*h**3 - h**2 + 42*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 10 + 20. What is the tens digit of 3\/q - 50\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + d**4 + 0 + (d**2 - d + d)*(-d**2 + 4*d**2 - d**2) - 2*d**4 + 9 - 9 + (-4 + d**2 + 4)*(d**2 + 2 - 2).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 13 = -2*f - 2*f, -4*r = -3*f - 24. Let w = 6 - r. Let b(y) = -2*y**2 - 264*y - 2 + y**3 + 261*y + 1. Calculate b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 0 - (-45)\/8. What is the biggest value in -3, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2684 - 2566 - (-1 + -5 + 2).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -3. Let n be ((-150)\/8)\/(c\/8). Suppose 6*v + m = v + 113, -3*m = 3*v - n. Calculate the lowest common multiple of 2 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91 - 2*h**2 + 175 + 2*h - 87 + 12*h**3 in the form b*h**3 + r + m*h**2 + y*h and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**7\/30 - t**4\/4 - 6*t**2. What is the second derivative of s(y) wrt y?\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -706, -3, -5, 3 in decreasing order.\nAnswer: 3, -3, -5, -706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460, 918, 1372, 1816, 2244, 2650, 3028?\nAnswer: 3372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 - -78. Suppose u*j - 150 = 330. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 69. Suppose 3*x - 4*l + 17 = g, -4*x - 9 = -3*l. Solve -2*k + 3*k = x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -30902976.6?\nAnswer: 30902977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30\/(-24) - 58754\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 872*a**5\/5 - 5675852*a**4\/5 + 9216162644*a**3\/5 + 64680839376*a**2\/5 + 110773902672*a\/5 - 509499072\/5 = 0.\nAnswer: -4, -3, 1\/218, 3258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138216044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (31 + (17 - 21)) - 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.5 - 6.4. What is the closest to -0.09 in 1, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6877950 is divided by 2399.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 14 = 4*i, 5*z - 2*i - i - 70 = 0. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 4710?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 28 = -32. Let v be (-43)\/(-9) + 2*x\/18. Solve v*y - 3*w + 20 + 20 = 0, 0 = -2*w + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -10. Let g(p) = p**3 + 13*p**2 + 18*p - 6. Let y be g(n). Let u = y - 81. Is 33 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 6335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*j**3 + 3*j**4 + 2 - 35*j**3 - j + 124*j**4 + 329*j**4 + 32*j**4 to the form v*j**2 + o*j**3 + i*j**4 + b + g*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 564 divided by -3\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 635.84 - 655. Let w = -0.16 - j. What is the smallest value in -0.4, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1538 > 1723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2560 and 34874368?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1034 and 1638185.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 11\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, n: 1, m: 4}. What is prob of sequence mmn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/15*(-625)\/(-375). Which is the second smallest value? (a) 0.19 (b) 7 (c) -0.2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/7068 and -103\/10.\nAnswer: 35340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4 + 4)*(-q**3 + 59*q**2 - 59*q**2 - 4*q**4) + (5*q**3 - 5*q**3 + q**3)*(-2*q**2 + 5*q**2 - q**2).\nAnswer: -2*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448365 by 5.\nAnswer: 89673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = b, 4 = q + 3*b. Suppose 5*o = 5*r - 25 - q, -r + 13 = -4*o. Let t be (o\/(-44))\/((-11)\/22). Sort 4, t, 3\/4 in increasing order.\nAnswer: t, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26494883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = -2*l. Let a(z) = z - 9. Calculate a(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**3 + 23410*a**2 + 23454*a**2 - 46864*a**2.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -20*k + 18*k, -4*k = -4*r - 4. Suppose -10*g + 24 = r*g. Solve -3*z = -g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**3 - 5*m**2 - m + 3. Let q(i) = -7*i**3 + 11*i**2 + 2*i - 7. Let s(t) = -9*o(t) - 4*q(t). Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*z + 306*z + 292*z.\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(63)\/(sqrt(9)*2 - sqrt(9))) + sqrt(21)\/((sqrt(56)*-2)\/sqrt(8)) - (sqrt(27)\/sqrt(36)*1 - 3*(sqrt(108)*1)**2).\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453492?\nAnswer: 2, 3, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1464 by 366.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588 times -13?\nAnswer: -20644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42135 - -45178. What are the prime factors of x?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2.2. Let v = g - 2.5. Let k = -114 + 121. What is the second biggest value in k, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from mjmjmij.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1207.060936 and 4.\nAnswer: -1203.060936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3443912.7 + 0.1\nAnswer: 3443912.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -772 - -777. Let t(z) = 6*z - 2. Suppose -9 = -3*c + 3. Let n(v) = -7*v + 3. Give c*n(j) + w*t(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l. Let c(n) be the second derivative of -n**3\/2 + 54*n. Determine 4*c(y) - 3*z(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-566.07\nAnswer: 283.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**2 - 21. Let n(i) be the first derivative of -3*i**2\/2 - 2175. What is f(n(y))?\nAnswer: -54*y**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 49?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(-46)\/(-200) - (-21128)\/3680?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102022223 (base 4) to base 2.\nAnswer: -100010010001010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 455265 (base 14) to base 10\nAnswer: 2357577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5683792?\nAnswer: 2, 37, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(-3)*414\/(-966)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 5:01 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/6? (a) 0 (b) -1 (c) -2\/9 (d) 2\/9 (e) 11 (f) -440\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73582148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 920 + -10129\/11. Let n = s + 103\/99. Let x = -0.2 + 0.1. Which is the third biggest value? (a) n (b) 1\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 276\/(-60) + 8 + 2\/(-5). What is the units digit of 78\/9 - d\/(-9)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 11964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + -14 + 82 + (5 - 19).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3737 + 946. Suppose -5*r + 3*f - 193 = -1772, 0 = -5*r - 3*f + d. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(3267) + -1*sqrt(3267)))\/(2*sqrt(36)\/sqrt(4)*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooodoowdplwldddodpwl. Give prob of picking 1 p, 1 w, and 2 l.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 823810.6 kilograms?\nAnswer: 823810600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 571 + -5138\/9. What is the third biggest value in -6\/7, v, 3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42*(-8)\/140*(54\/(-42))\/((-66)\/385)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.710719 centuries?\nAnswer: 9252.8628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5723 - -7620. What is the remainder when m is divided by 631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.9 + 11. Let x = -6 + 6.2. Let u = 0.2 - x. What is the smallest value in -2, u, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 - 16*t + 15. Let k(h) = -6*h**2 - 14*h + 16. Let q(j) = -4*k(j) + 5*x(j). Let p be q(-17). Is p greater than or equal to 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 721964871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0185618793 to four dps.\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*l**2 - 504\/5 - 46\/5*l.\nAnswer: -(l + 18)*(l + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 1, n: 9, f: 2, y: 6}. What is prob of picking 1 a, 1 y, and 1 p?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178782 is divided by 908.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50978, 101955, 152928, 203897, 254862, 305823?\nAnswer: 356780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 7*n**2 + 6*n + 5. Let p be o(-6). Suppose -5*u + 4 + 51 = 5*x, 49 = p*u - x. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -212*z - 17*z**2 + 212*z + (-5 - 2 + 0)*(z - 1 + 1)*(3*z + 1 - 1).\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 - 3398*u**2\/3 - 1410478*u\/3 + 28039478\/3.\nAnswer: -2*(u - 19)*(u + 859)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - z. Let i(k) = -k**3 + 11*k**2 + 12*k + 5. Let u be i(12). Let h(v) = 6*v**2 + 5*v. What is u*d(w) + h(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*m - 185 + 68 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 17*r**2 + 13*r - 31. Let x be b(-16). Sort x, 1, 0 in ascending order.\nAnswer: 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1313, 2658, 4003, 5348, 6693, 8038?\nAnswer: 9383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*7\/(35\/(-20)). What is the remainder when 20 is divided by 42\/j*2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(176) + sqrt(44)\/sqrt(16))**2.\nAnswer: 11979\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164616 = 45*a - 163536 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -165070749 greater than or equal to -165070749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, x: 3}. What is prob of sequence xv?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1606, 1392, 1032, 520, -150?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-20) + 669\/2. Let w = s + -226. Calculate the remainder when w is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -17*v + 5*h, 453 = -3*v - h + 456 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (1 - 1 - 1)*(0 + 0 + 1))*(3 - 3 + p)*(-p**2 + 0*p**2 - 4*p**2).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10057 - -6?\nAnswer: -10051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177 + -124. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1229, -2193, -3811, -6083, -9009, -12589, -16823?\nAnswer: -21711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274442970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2749 + -1444. Suppose -1760 = 1300*l - x*l. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**7\/2520 - 19*m**6\/180 - 361*m**5\/30 + m**4\/4 + 5*m**3\/6 - 7*m. Let j(r) be the third derivative of l(r). Factor j(h).\nAnswer: -(h + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 14*h**3\/3 + 59*h**2\/6 + 17*h\/3 + 1\/2 = 0.\nAnswer: -1, -3\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 4 (c) -9 (d) -2 (e) 2\/23 (f) 21.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 4*a - 8, 4*y + 2*a + 580352 - 580348 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 10\/7*b**5 + 0*b**2 + 0*b - 6\/7*b**4 - 4\/7*b**3 + 0 = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*u**3 + 1629*u**3 - 810*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/70828 and 17\/4.\nAnswer: 70828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*s + 5\/6*s**2 + 5\/3.\nAnswer: 5*(s + 1)*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 p when four letters picked without replacement from {f: 1, p: 11, c: 6, r: 1}.\nAnswer: 275\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27050987387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 134, 210, 286?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxslccn. Give prob of sequence ox.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 252 = -3*m, -4 = m + m. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 873 and 54?\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**8\/3360 - g**7\/560 - g**6\/240 - g**5\/240 + 5*g**3\/6 - 6*g**2. Let v(a) be the first derivative of w(a). Factor v(z).\nAnswer: -z*(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001013 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (15 - (-7 + 18 + -27))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335617441.\nAnswer: 335617441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i*i)\/i)**29*((i\/i**5*i)\/i)\/i**17 assuming i is positive.\nAnswer: i**(-137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/120 + b**5\/3 - 23*b**4\/24 - 19*b**3\/3 - 21*b**2 + 4*b. Let p be w(-21). Solve 4*f - 3*f = -2*z, 3*f + 4*z = -p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/192132 and -37\/10375128.\nAnswer: 10375128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/5 + 26*m**4 - 409*m. Factor f(z).\nAnswer: 4*z**2*(z + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*r + 17*r = -8 - 82. Solve -19 = -5*x - 14, -r*j = -5*x + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 0*s**2 - 2*s**2)*(-5 + 3 + 3) - s + s - 2*s**2 - 72 + 72 - 314*s**2.\nAnswer: -315*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.56, 3, -1\/5, 1, 0.4 in increasing order.\nAnswer: -1\/5, 0.4, 0.56, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -280 - 97*f**3 - 272*f**2 - 213*f + 769*f + 93*f**3 = 0. What is f?\nAnswer: -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -121213202331?\nAnswer: 121213202321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 252 - 256. What is the remainder when 103 is divided by (2\/x*-1)\/((-6)\/(-180))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 131 + 6*l - 66 - l**2 - 71. What is s(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (-111952)\/64 - 3\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55149?\nAnswer: 3, 31, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 23*u + 6 = -19*u, 8 = 4*n - 4*u. Suppose 6*y - 3584 = 4*y + n*h, -2*y + 3583 = -h. List the prime factors of y.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 + ((-301)\/516)\/((-52)\/(-693)) and -55\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 10, 33, 74, 139, 234, 365?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 3476, -0.13, -0.25, -5?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*o**2 + 127*b**3*o + 153*b**2*o**2 + 5*o**2 wrt b?\nAnswer: 12*o**2 + 762*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1805946 and 5457?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/16030 and 115\/84.\nAnswer: 96180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 10) to base 11\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33291 divided by 13.\nAnswer: -33291\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 + 15 - (-4 + 5)) - 49?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 4. Is -12 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + -2.6. Let l be (50\/3)\/(9\/15). Let z = -1723\/63 + l. Put b, z, -3 in ascending order.\nAnswer: -3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-6) - 2) + -1. Let w = -88 - -93. Sort w, y, 4 in descending order.\nAnswer: w, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88895, -88946, -88997, -89048, -89099, -89150?\nAnswer: -89201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, 6, -2\/9, 1\/2 in increasing order.\nAnswer: -5, -2\/9, 1\/2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -242, -233, -222, -209, -194?\n\"Answer: v**2 + 6*v - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88.2 - -794.2. What is y rounded to the nearest 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v + 2*v. Suppose v*d = d + 2. Solve -o - 2 - d = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 272 + -a0?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1946 - -1952. Which is the nearest to 0.6? (a) i (b) 16 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14a - -c19?\nAnswer: d65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 2, s: 2, v: 1, t: 9}. What is prob of picking 1 t and 1 v?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*z - 2*z - 19*z = 0. Let b = -100 - -310. Which is smaller: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389 a factor of 549847462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 23)*(-5 + 2). Suppose -3*v = 2*t - 94 - c, 0 = -2*t - 5*v + 158. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 271 + 479. Let n = l - 642.7. Let k = n + -102. Round k to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2972*a**3 - 5 - 2977*a**3 + 10.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*19\/(-19)*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541107, 1080759, 1620411, 2160063?\nAnswer: 2699715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2045 + 2436. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/847 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-892792186)\/3003 - 4\/(-42). Round q to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175453436.\nAnswer: 2, 67, 181, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -60 (b) 189 (c) -1\/4 (d) -1\/419\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -44, 0, 1\/2 in decreasing order.\nAnswer: 1\/2, 0, -0.8, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -58.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3801786 is divided by 12715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 2*p**6\/75 + p**5\/25 - p**4\/15 - 2*p**3\/15 - 4*p - 3. Let u(s) be the first derivative of d(s). Let u(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-17)\/(544\/6)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 7. Let k(n) = n - 6. Let v(f) = -3*k(f) + 2*p(f). Let b(d) be the first derivative of v(d). Let s(h) = h. Calculate 2*b(z) + s(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -7, 25, 10.\nAnswer: -8, -7, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 + 23\/(-100). Let d = 761\/325 + -32\/13. Let l = d + j. What is the nearest to 0.1 in -1, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 53, 62, 73, 86, 101?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 7*m - 7. Let w be a(-8). Let u = 0.01 + -2.01. Put u, -0.7, w in increasing order.\nAnswer: u, -0.7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {i: 6, c: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-2) + (-1)\/(-2). Let f = 29 - g. Let a = 96 + -51. What is the highest common factor of a and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22238 is divided by 858?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 6. Is r\/(-6)*2 + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16746 is divided by 270.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 39193.78 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(16))\/sqrt(8))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.044 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9848.9 - 9849. Which is the third biggest value? (a) -1\/7 (b) 140\/13 (c) m (d) 0.2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 34?\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 39634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 9*s - 130. Let v(u) = 15*u**3 - u**2 + u. Let r be v(1). Let n = r + s. Solve -m - 4 - 7 = 5*c, 0 = -5*m - n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dc07 (base 14) in base 16?\nAnswer: -12a9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5.4. Let r be (6 - 1) + (-2 - 0)\/(-1). Suppose 0 = r*z - 19 - 16. Which is the third smallest value? (a) q (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqxippxiddxkd. What is prob of picking 1 x and 1 d?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -5 + 8 - (-1 - -17). Let y be -4 + 1675\/350 + 4\/k. Which is the biggest value? (a) 4 (b) 37 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.52, 1, 4, -5, 731 in ascending order.\nAnswer: -5, -0.52, 1, 4, 731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.181724 less than -5?\nAnswer: -6.181724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 5, 5, -9, -43?\n\"Answer: -r**3 + 2*r**2 + 9*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -17. Suppose n = 5*y + j, 12 - 40 = -n + y. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 10) in base 16?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3)\/(-2 - (-4)\/3). Suppose 0 = j*i + 58 - 373. Let y = -231 + i. Which is bigger: y or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19532578693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2640 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32282\/1786491 + -2\/28357. What is the common denominator of -62\/105 and h?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707061353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-276)*6*7\/((-21)\/(-114))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324022 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 234192831*i\/2 + 54846282091794561\/4.\nAnswer: (i + 234192831)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/10 + 162\/30 + 3. Sort -3, 2, w.\nAnswer: -3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.35 plus 19.9?\nAnswer: 25.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105261, 105313, 105371, 105435?\nAnswer: 105505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**6\/120 + l**5\/12 + l**4\/3 + l**3\/6 + 4*l**2. Let b be 4\/4 - -3 - -2. What is the tens digit of x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 19 = 7, 5*g - 3*x - 27 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1390*l + 12971. What is z(-9)?\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 21*t**2 + 3*t**2 - 10 + (2 + 1 - 2)*(-2*t**2 - 4*t**2 + 5*t**2) + 0*t + 3*t**2 + 0*t in the form s*t + p + w*t**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -31, 113, -9\/31, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**4 + 12220*l**3 - 868065*l**2 - 2714040*l = 0.\nAnswer: -2513, -3, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/60 - w**4\/24 - w**3\/3 - w**2. Suppose -5*p - 22 = -a, -a - 5*p = -0*a + 18. Determine h(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 u when three letters picked without replacement from {u: 6, w: 13}.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.1 (b) 2 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 15) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 - (-846)\/(-54))*1\/(-62). Let f be 232\/40 - (-1)\/5. Let y(d) = d**2 - 7*d + 6. Let w be y(f). Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 8:11 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + 1 + 26 + -26.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.922 + 15.9155. What is x rounded to two dps?\nAnswer: 1.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 60 = 0. Let c = -9 + r. Calculate the least common multiple of 10 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = 2*b + 2*o, -2*b + 10 = -2*o. Suppose -b*i - 12 = -3*c - 3, 2*c = i + 10. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvv. Give prob of picking 2 v and 1 k.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 36 = 3*q, 6*q = 3*z + 5*q - 46. Suppose -12 = 16*r - z*r. Solve 2*u = -2*m, -m + 0 = -3*u + r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-33)\/(l**1*l))\/(l\/(((l*l**(-25)*l)\/l*l*l)\/l)*((l**(3\/11)\/l)\/l)\/l))**18 assuming l is positive.\nAnswer: l**(-11142\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/6 - y**2\/2 - y. Let v = 22 - 8. Suppose j = -3*r + v, -r - 30 = -6*r - 3*j. Give d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -3)\/(3 - 0). Suppose -5*r + 2 + 18 = l. Suppose -4*x = -5*p - 144 + 30, -r*x + 134 = 5*p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 3. Let q be k(8). Let v = 39 + -25. Suppose -2*n + 0*s - 5*s = v, 8 = -5*n + s. Put q, 0, n in ascending order.\nAnswer: q, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(972) + (sqrt(297) - sqrt(297)*2)\/sqrt(11) + -1 + (3*(1 + sqrt(243) + -4 + sqrt(81)\/sqrt(3)))**2.\nAnswer: -633*sqrt(3) + 3966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 2*i**2 + 7*i - 2*i - 5 + 3*i**2. Give q(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -503\/6 + 83. Let i = 0.03 + 4.97. Let w = -8 + i. Which is the closest to w? (a) -0.1 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21000111 (base 3) in base 10?\nAnswer: 5116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 100?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 10. Let j be l(1). Suppose -477 = -j*b + 6*b. Are b and 159 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*n - 2*p + 7*p, 0 = -p - 5. Let m(d) be the second derivative of -d**5\/5 + d**4\/12 + d**3\/6 + d**2\/2 + 6*d. What is the tens digit of m(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 140 + 184. Let p = 208 - m. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - y**2 - 2*y**3 + 5*y**3 - 2*y - 6*y**3 - 2*y**3 as v*y + u*y**2 + j*y**3 + t and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {t: 4, f: 14}.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - f**5 - f**5 + (2 - f**2 - 2)*((-3 + 3 - 2*f**2)*(4*f - f + 0*f) - f**3 - f**2 + f**2).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 3 + (27 - 8) - 66) + (0 - 2)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 2*j**2 - j + 2. Let l be d(-1). Suppose 9 + 6 + 4*t - t**l - 22*t + 4 = 0. Calculate t.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15132 + 4?\nAnswer: -15128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0 = -3. Calculate the common denominator of (-20)\/56 - (0 + g) and 91\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12\/7 - -41\/28. Which is the nearest to -0.1? (a) d (b) -1 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*w - 139 + 50 = 0, 0 = 2*m - 5*w - 176. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 32 + 18 = 0. Suppose 4*x + 0 = 2*l - w, 5*l = 3*x + 11. Suppose 2*n - 3 = -l. Which is the second smallest value? (a) n (b) 6\/11 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044918714 to four decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30351.88 + 30352. What is the biggest value in -6, -0.5, w, 4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4364, 8719, 13066, 17405, 21736?\nAnswer: 26059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.09, -0.5, -209, -4\/3, -4, -32?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6140 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 194. Let p(g) = -759841*g. What is p(j(x))?\nAnswer: -1519682*x - 147409154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2011*w**3 + 0 + w**2 + 491*w**3 + 0. Is c(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264975*-1\nAnswer: 264975","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/12, -1, -2\/179 in decreasing order.\nAnswer: 2, -2\/179, -1\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/10 - -4) + (-122)\/170?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9390001513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-3)\/(-6))*-2. Let o(b) be the first derivative of b**4\/4 - 4*b**3\/3 - b**2 + 4. List the prime factors of o(g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 27*l - 6*l - 17 + 16. Let u be s(-1). Let g = u - -55. What is the highest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 2716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32230101 - 10?\nAnswer: 32230031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 5*p + 5*g + 83, 0 = p + 3*g - 13. Solve -3*v - v = -p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 55.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*i = 100, 0 = i + 2. What is the highest common factor of 168 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.6725\nAnswer: 0.1345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 2*u**4 - 3*u**3 - 2*u + 0*u**3 to the form g + y*u + d*u**4 + f*u**2 + p*u**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -855 + 879. Let k be (-36)\/(-6*8\/s). Is 18 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/540126 and 169\/1260294?\nAnswer: 3780882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17510 + 17508. Which is the third biggest value? (a) v (b) -3\/5 (c) 327 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 4*w**2 - 3*w + 1. Let l be v(3). Let c be ((-2)\/(-3))\/(24\/72). Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -141*f**4\/2 + 2*f**3 - 5*f**2\/2 + 147. What is the third derivative of o(q) wrt q?\nAnswer: -1692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11948722 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*z - 1 + 105*z - 118*z.\nAnswer: -226*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 283.79 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/6)\/(-2))\/((-150)\/(-45))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9458578, 9458583, 9458590, 9458599, 9458610, 9458623?\n\"Answer: q**2 + 2*q + 9458575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - ((-31)\/(-33) - 28\/(-462)). Let d(n) = -2*n - 10. What is d(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-3 + -1 + 2) + 6 - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -254 + 671. Suppose 3*f - u = 1830. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37232889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82726 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 + 2*s**4 - 2*s - 4*s**4 - 4 + 4*s**4 - s**2 to the form v + c*s**3 + d*s**2 + r*s**4 + f*s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) -0.2 (c) 0.286 (d) 0.2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-56)*25424\/1362?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 30.\nAnswer: -4, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -410, -726, -1116, -1580, -2118?\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2 - 785*w - 9240 = 0.\nAnswer: -11, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 4 = 7*j. Suppose -15 = g - 6*g. Suppose 5*d + 3*p = -12, 9*d = 4*d + g*p - 18. Sort d, 5, j.\nAnswer: d, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 4*n**2 - 3*n + 3. Let i be b(3). Let k(p) = 9*p**2 + 10*p**i - 11*p**3 - 3*p - 5*p - 8. Is k(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62790 is divided by 20913?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389241 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -559.8 + 457. Let x = m + 102.9162. What is x rounded to 3 dps?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/30 + j**4\/8 + 5*j**2. Let n(d) = 7*d**3 + 5*d. What is 5*a(c) - 3*n(c)?\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -139, -127, -115, -109, -115?\n\"Answer: -b**3 + 6*b**2 + b - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18840 and 105?\nAnswer: 131880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/5 - (2 - 0). Let a(d) = -d + 1. Calculate a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -17084 + 34173 - 3*k - 17089. Let y(u) = 5*u - 548. Give x(y(n)).\nAnswer: -15*n + 1644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16cb (base 16) in base 4?\nAnswer: -1123023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2944.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1411124 + -1?\nAnswer: 1411123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 5\/7*z + 19 - 1\/21*z**3 - 2\/7*z**2. Factor x(v).\nAnswer: -(v - 1)*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5800660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 1, i: 2}. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 152.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 39 - 5*y - 39 + y. Let s(c) = -10*c. What is s(h(w))?\nAnswer: 40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppjpjpp. What is prob of picking 2 j and 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*s**2\/11 - 1928*s\/11 - 768 = 0. What is s?\nAnswer: -88\/21, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -44. Let a = h - 22. Let o = 171 - 1199\/7. What is the smallest value in -3, a, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10903620 and 10374?\nAnswer: 207168780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 6. Let u(w) = 26*w**2 - 3*w + 2. Let g be u(o). What is the greatest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1127 and 2783.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3\/5, 0.9, 0.5 in descending order.\nAnswer: 0.9, 3\/5, 0.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 33 = -11. What is the remainder when 53 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -10.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151 - -152. Calculate the remainder when -4 + 469\/14*(3 - l) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 24\/11 (b) 27 (c) 1 (d) 0 (e) -3\/247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109*s - 1107*s + 16 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(-5*((sqrt(171) - 2*sqrt(171)) + 2 + (sqrt(171) - (1 + sqrt(171) + 0 + sqrt(171)))) + 3))**2.\nAnswer: -4320*sqrt(19) + 615743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 29*g**2 - g + 52. Let f be n(-29). Find the third derivative of -j - 78*j**5 - 78*j**2 - f*j**2 + 148*j**2 wrt j.\nAnswer: -4680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*z + 6. Let q(u) = 5*u**2 + u + 1. Let l be q(z). What is the second derivative of l*c**2 + 3*c - 2*c**2 - 7*c wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24505 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1352 - 922. Suppose 9*p - 4*p = q. Suppose -g + p = 45. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12182 in -2, -2\/7, 10, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296880771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 13*z - 12. Suppose 7*a = f - 1061 + 1175, -a = f - 14. Calculate the remainder when p(8) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1112861 - -15536071\/14. Let d = x - -3143. Let o = -159\/112 + d. Are 1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6805539?\nAnswer: 3, 13, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 14. Let t = 91 - c. Let l(f) = -135*f**2 + 55*f - 55. Let q(d) = -5*d**2 + 2*d - 2. Suppose -10 = -3*y + 8*y. Calculate t*q(v) + y*l(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j = 21*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -1038*s**3\/23 - 4156*s**2\/23 - 3130*s\/23 - 12\/23 = 0.\nAnswer: -3, -1, -2\/519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*h + 1170 = 111*h. Let x = -1097 + 1932. Suppose -4*g = 3*r - x, 3*g - 760 = -3*r - h. Is 41 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-144)\/(-48))\/((11 - 5)\/(-2 - -24)). Solve 9*w = p*w + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 1. Let d(r) = 18*r + 9. Let w(j) = -d(j) - 15*u(j). Let t(o) = -o + 2. Let f be t(-4). What is w(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1027 + -1026.96005. Let a = -12 - -11.96. Let d = a + i. Round d to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blbbbbbbbl. Give prob of picking 3 b.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 19*p = -3*x + 25, 4*p + 13 = -x. What is the closest to -251 in 2\/11, x, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**3 - 12*d**2 - 64*d - 48 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 2 = 0. Suppose 0*a = -3*a - 3*k + 15, -4 = -v*a + 4*k. Solve -g - 2 = -a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/9*(1 - 4). What is the derivative of -3*v**u + 5*v**4 - 6 + 0*v**4 + 2*v**4 wrt v?\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/2)*z))**(-21\/4)*(z*z*z*(z\/z**(4\/3))\/z*z)\/(z\/((z\/z**(-6))\/z)*z)*(z*z**(-1\/4))**(2\/27)\/(z\/(z*z**0*z)*z)**(-6\/37) assuming z is positive.\nAnswer: z**(295\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -369, 274\/43, 1\/4, -1\/5, -8, 1?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) + 0 + 3\/(-6). Suppose 24*p - 23*p - 116 = m. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1517 - 1385. Calculate the highest common divisor of r and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4420 divided by -26\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 541, 571, 603, 637, 673, 711?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 59. Let n(g) = -17*g - 3 + 37*g - k*g. Let v be n(7). Solve 0 = o - 0*o + 2*d - v, -2*o + d = 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1 - 19*c - 1 - 4 + 8. Let z(s) = -37*s + 4. Let o(q) = 11*h(q) - 6*z(q). What is the units digit of o(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 x, and 1 p when four letters picked without replacement from xiibipbyiiibixpbyb.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = p - 53. Suppose -4*l - p = -206. What is the remainder when l is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(4)*1))\/(sqrt(8)\/(sqrt(8)\/sqrt(4))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.028167009 + -1.\nAnswer: -4.028167009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83)\/((-63)\/6*32\/(-336)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.4 - -7.1. Is 0 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r, -2*b - 210 = b - 3*r. Let q = b - -108. What is the highest common factor of 306 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343421 (base 5) to base 2\nAnswer: 11000001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Suppose -2*a + 5*a = 48. Let q(g) = -6*g - 4*g + a*g. Calculate q(l(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2. Let c(k) = -12649*k**2 + 819. Let v(d) = -93*d**2 + 6. Let q(y) = -2*c(y) + 273*v(y). Determine i(q(u)).\nAnswer: 16562*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*g + 432 + 16542 = 260 for g.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 836 + -835875326851.\nAnswer: -835875326015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2096 to 2 dps.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyeyyeyyyyey. What is prob of picking 2 y and 1 e?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 6. Suppose 4*f = y*f + 8. Solve 3*a = -5*r + 2, f*r = -3*a + 2*r - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - (6 - 8))*135\/36. Solve y*l - 165 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 215.767.\nAnswer: 230.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (81 - 98) + 206 - 99?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 120.76.\nAnswer: 1328.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/17 + 30*k**2\/17 + 126*k\/17 + 162\/17.\nAnswer: 2*(k + 3)**2*(k + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*m - 44132 = -40052 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*b - 532 = -47*b - 63*b for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100210 - 1101011202?\nAnswer: -1020210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - v + 8. Let p = -1323 + 1382. Calculate the remainder when p is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-36) - (74140\/(-252) + -2). Let i = g - 124717\/420. Find the common denominator of 23\/16 and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/224 and -73\/24?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**8\/2016 + s**7\/252 + s**6\/80 + 7*s**5\/360 + s**4\/72 - 96*s**2. Factor f(n).\nAnswer: n*(n + 1)**3*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 3) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-931)\/(-686)*(-604)\/(-123367).\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p - z + 2*z - 3 = -25*p, -6*p - 2*p + 2*z - 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11200050 is divided by 8812.\nAnswer: 8810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoeeeeee. Give prob of sequence oo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-15 + 5 - (-4 - 72\/(-9))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/12)\/((3\/(-1))\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 3 + 7 - 0) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 2:45 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 - 147. Let d = -0.2 + 0.1. What is the nearest to -0.1 in d, x, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -15426?\nAnswer: 15422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17251 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 44, 46, 52, 62?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 30*t - 2688. Calculate the greatest common divisor of t and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -975*k + 54595. Calculate n(56).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.1564\nAnswer: 0.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 - 198 = 3*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 31*z**2 + 4*z - 7. Let x(c) = 15*c**2 + 2*c - 4. Let g(b) = -3*j(b) + 5*x(b). Determine g(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*v + 84 = -82*v. Sort 19, v, -3, -4.\nAnswer: -4, -3, v, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198847703?\nAnswer: 198847703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, 5, -82, -1 in descending order.\nAnswer: 5, 4, 3, 1, -1, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -7. Let a be 1*1*2\/(-2). Let r be a\/(-2) + (-11)\/10. What is the closest to 2 in r, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 + 14409993*m**2 + 48994046*m - 34584024 = 0. What is m?\nAnswer: -4, 3\/5, 2882002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-2) - (-807)\/(-36). Let i = -99\/4 - k. What is the biggest value in -1, 2\/7, i, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:44 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -14*a - 19. Let j(b) = -6*b + 53. Let v be j(12). Is l(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.7 + -1.3. Let r = -15 - v. Let h = r - 15. What is the nearest to h in 1\/3, -2\/7, 4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 1726*p**2 - 27779*p - 162022. Calculate l(1742).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31106 - -247\nAnswer: 31353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3*(89 - 7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 8*u + 7. Suppose -85*a + 83*a + 3*w = 11, -2 = -2*w. Calculate z(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 5*g + 2*g + g**2 + g + 19. List the prime factors of c(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5))**(-2\/33)\/(r**(-3\/8)*r*r\/r**(-4))*(r\/r**(1\/7)*r*r*r*r**7)\/(r*r**(-1\/3))**(-8\/13) assuming r is positive.\nAnswer: r**(680677\/120120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(57)\/sqrt(3))**2 + -5 + (sqrt(19) + 0)*3*3.\nAnswer: 19 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-15) - ((-253)\/5 + -2). Let i = g - 157\/3. Which is the second smallest value? (a) -4 (b) 5\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 10*i**2 - 2*i - 15. Let z be g(-10). Suppose 4*r - 51508 = 5*u, r + 51506 = -z*u + 4*r. What is u rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*d + 10, -3*g - 14 = -7*d + 3*d. Factor 12*n**2 - 6*n**3 - 8*n - 2*n**3 + 4*n**4 + g - 2*n**4.\nAnswer: 2*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 397.0659 - 397. Let m = x + -0.07. What is m rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -8*z + 1. Let w = 1 - z. What is the lowest common multiple of 20 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -34.857029?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*t**2 - 13*f*t + 4597370*t**2 + 9*t + 16680 wrt t.\nAnswer: 4*f + 9194740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 2080*w - 2078.\nAnswer: -2*(w + 1)*(w + 1039)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/170 and -47\/4967485.\nAnswer: 9934970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 493 + 513. Let y(u) = -u**2 + 4*u + 2. Let l be y(4). Solve -b*w - c = -l*c - 22, -w - 5*c = 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - 7*y - 7. Suppose 7*m = 2*m + 75. Calculate the remainder when g(-4) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*-2 + -5 + 5 + sqrt(833)*-3 + sqrt(833) + 5*(sqrt(833) + -2 + sqrt(833)) + sqrt(833) + 4)**2.\nAnswer: -588*sqrt(17) + 40853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73242 is divided by 195.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012001111 - 11?\nAnswer: -1012001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13124 + 26?\nAnswer: 13153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 198, 99, -96, -411, -870, -1497?\n\"Answer: -4*i**3 - 24*i**2 + i + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24020*q**3*y**2 - 290*q**2*y + q**2 + q*y**2 - 4*q wrt q?\nAnswer: -144120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5270061226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(204))\/sqrt(12) - sqrt(17) - (1*sqrt(68) - sqrt(68))\/sqrt(4))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2)*(2 + -1). Let u be -2*1 + 2 + s. Let c = 3 - u. Solve 0*i + i - c = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129455340 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1910*n**6 + 696*n**2 - 2?\nAnswer: -229200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66965?\nAnswer: 5, 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-99)\/(-2) + -1)*-1 and (-112)\/(-4) - 22 - (-242)\/(-32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*f - 934 = 766. Solve f*c = -10*c + 120 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37472, -149882, -337234, -599528, -936764, -1348942?\n\"Answer: -37471*u**2 + 3*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3543*l - 10597*l + 3547*l + 3563*l.\nAnswer: 56*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29190665 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let g(d) = -d + r*d + 0 + 1. Let i = -1 + 4. Determine g(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4128417*t**4 + 2*t**3 + 2*t**2 - 6284558*t wrt t.\nAnswer: 49541004*t**2 + 12*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 765254, 765247, 765240, 765233?\n\"Answer: -7*b + 765261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-10))\/(36\/(-90))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -23 + 15 + (20 - 23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 2857*g\/4 + 1429\/2.\nAnswer: -(g - 1)*(g + 2858)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715812486.\nAnswer: 2, 857906243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*h + 347*h - 3564*h - 4636*h.\nAnswer: -7197*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 943 and 28210627?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -489.\nAnswer: -24.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344.11393 rounded to 1 decimal place?\nAnswer: 1344.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwccccwaawwcwccwcw. Give prob of sequence wacc.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 192205, 384415, 576627, 768841, 961057, 1153275?\n\"Answer: q**2 + 192207*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*1*195\/(-208)*20\/(-30)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 25675, -10, 4, 0, 13 in ascending order.\nAnswer: -10, 0, 2, 4, 5, 13, 25675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1227.5 + 1227. What is the nearest to 0.1 in 2\/45, a, 6, -2?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 23.1. Which is the nearest to -2\/27? (a) 0.3 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 + -174. What is the tens digit of w - -510 - 1 - (-38)\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -11.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100001000010101 (base 2) to base 6\nAnswer: -210153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 14*c**2 + 41*c + 5. Let t be v(12). What is the greatest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10733\/2086 - -138\/149. Find the common denominator of (-14)\/24 - -3*(-2)\/6 and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 1. Let h(f) = 6*f**2 - 8*f - 16. Let w(u) = h(u) + 4*k(u). Let o be (-6)\/21 - (-57)\/(-21). What is the remainder when w(o) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7694831ns in minutes?\nAnswer: 0.000000000029491385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -5142 + 666. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**1*w)\/w)**50*((w**0*w)\/w)**(-43) assuming w is positive.\nAnswer: w**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a728 (base 11) to base 13.\nAnswer: 51585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -218852739.\nAnswer: -218852740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580413 is divided by 3302.\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -55*g - 936. Let o be j(0). Let p = 1162 + o. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -157211 + 855?\nAnswer: -156467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*p = -90, -765*p = -2*i - 574*p + 5730 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 1:11 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 79, 65, 45, 19?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 4:15 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1347\/4 - -337. Which is the second smallest value? (a) z (b) -3 (c) 0.072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + v**2 - v - 1. Let t(d) = 18*d**3 + 6*d**2 - 4*d - 4. Determine 4*a(q) - t(q).\nAnswer: -22*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.83550314 to 1 dp.\nAnswer: 53.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**11*t*t**(-12\/5)*(t\/t**(-35))\/((t**(2\/81)\/t)\/t) assuming t is positive.\nAnswer: t**(19268\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -715246883\nAnswer: 715246874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1 + sqrt(108))*-5)**2 + 0)*5.\nAnswer: 6000*sqrt(3) + 54500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 5. Let n be g(4). What is the greatest common factor of 39 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2. Let p(o) = -13*o. Let r(m) = -4*m + 4. Let s(a) = -4*a + 3. Let y(b) = -3*r(b) + 4*s(b). Let f(c) = -3*p(c) + 8*y(c). Calculate f(j(u)).\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 933.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 27*m**2 + 8*m + 44. Determine f(15).\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(3 + -8) + 397 + -3 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 593\/15?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 2664\/14495 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6950 divided by -695.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88617198*l**4 - 1336409198 wrt l?\nAnswer: -354468792*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*(-1 - -2))\/(-1). Which is the second biggest value? (a) -1 (b) 343 (c) f (d) 1\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(612)*2 + 0.\nAnswer: -5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 19. Let r be v(3). Suppose -t = r*u - 5, -4*u + t = -t - 14. Calculate the highest common factor of u and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.052 + 28.948. Let u = g + -28.97. Let x be 189\/36 - (1 + (-3)\/(-12)). Which is the closest to u? (a) x (b) -3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*b + 70. Let f be ((-60)\/25)\/(4\/b). Suppose -f*p + 3 = -15. Solve -p - 3 = -3*r - 2*d, -5*r = 3*d - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**2 - 360572*t - 2163576 = 0.\nAnswer: -6, 90149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 904602826 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v*v**8)\/v**(2\/3))\/(v*v**(-8)\/v*v*v*v\/v**3)*((v\/(v*(v\/(v*v**8*v)*v)\/v))\/(v*v**(1\/2)\/v))**(1\/33) assuming v is positive.\nAnswer: v**(431\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((4851\/(-252))\/(-77))\/((-2)\/(-170)))\/(5\/(-24))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*t + 1482, -4*j + 39*t + 2984 = 40*t. What is the remainder when j is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17543, 35112, 52681, 70250, 87819, 105388?\n\"Answer: 17569*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*h - 62*h - 3 + 2*h)*(-1 - h + 1) to the form x*h**2 + v + i*h and give x.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by 634.\nAnswer: -130\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 8*((-21)\/4)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {h: 1, k: 3, g: 3, j: 1, v: 2, n: 3}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 + 111. Let y = x - -13. Sort 0.3, 1, y, 1\/9 in ascending order.\nAnswer: 1\/9, 0.3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -138.06 and 2\/63 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = -o - c - 275, c + 319 = 14*o. Suppose -10 = -4*s + 2. Sort s, 1, o, -0.4 in decreasing order.\nAnswer: o, s, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(126\/(-4))*7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12188 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a - 79. What is z(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 0*v - 1 - 3 + 15*v - 3*v. Let m be s(-12). Sort 2, m, 1.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - (2 - 5) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:50 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124114144 + 12?\nAnswer: -124114132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 7860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 16*f + 605. Calculate the remainder when a(-23) is divided by 52.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 1. Let c be v(-6). Suppose 15 = 11*n - 8*n. Is c at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59.49694 millennia?\nAnswer: 594.9694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from {p: 18, k: 2}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3311 - 0.0311. Which is the biggest value? (a) 5 (b) x (c) 0.093 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019214 to five dps.\nAnswer: -0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14*u**3 - 34*u**2 + 7. Let p(m) = -9*m**3 - 23*m**2 + 5. Let d = -9 - -2. Let w(s) = d*p(s) + 5*g(s). Find the third derivative of w(c) wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -335*o + 1133. Let y be p(23). Round y to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14474, -28945, -43414, -57881?\n\"Answer: w**2 - 14474*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**3\/6 + 5*c**2 + c. Let j = 1338 - 1346. Give o(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4780?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7018 and 3538.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuq when three letters picked without replacement from qqqqquqqqqqququqqqu?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, x: 7, s: 2, q: 7}. What is prob of picking 1 s and 2 q?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.82933 rounded to 1 dp?\nAnswer: 277.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4*k*k**(-1\/8))\/((k*k\/(k*(k*k**1)\/k))\/k)**(2\/63))\/((k**(-5)*(k**(-1)\/k)\/k)\/((k\/(k*k*k**4\/k*k))\/(k*k*k\/(k**(1\/2)\/k)))) assuming k is positive.\nAnswer: k**(2221\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 43*v**5\/5 - v**4\/3 - v**2 + 204. Factor z(c).\nAnswer: 4*c*(129*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {w: 7, q: 2, p: 4}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07532662 and -16332.9.\nAnswer: -16332.97532662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39581 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/150 - (2\/3)\/(-7 + 5). Let b = 784\/205 + -42\/41. What is the fourth smallest value in g, -3, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20230*r**3 - r + 383082.\nAnswer: 60690*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((-2)\/(-5) - 1). Let s = 0.5 - 0.4. What is the nearest to u in s, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(629\/(-68)))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 7:54 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*b = 155, -5*b = -0*o + 4*o - 87. Let y(z) = -z**2 - 21*z + 325. What is the remainder when o is divided by y(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2 - 12*t + 0*t**2 + 19 + 9*t**2. What are the prime factors of l(-7)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*o - 33 + 143, 91 = -4*m + o. Let u be 468\/45 - (50 + -39). Let f = 0.5 + -0.3. Sort u, m, f in descending order.\nAnswer: f, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) -31 (c) -860 (d) 63 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/6)\/7)\/((-11)\/374).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = o, -4*o - 5 - 9 = -2*s. Which is the nearest to 0? (a) 5\/3 (b) s (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 + 37\/5. Suppose 0*z + 3*i + f = -2*z, 4*i = -z - 16. Let n(u) = u - z - 3*u + 2. Let w(q) = q. What is -n(a) - 3*w(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -72.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/20778 or -1?\nAnswer: 1\/20778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-1132497)\/12)\/(-3))\/((-13)\/(-52)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 102*m + 2 - 2 + 3.\nAnswer: -102*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 786908331 to the power of 1\/2, to the nearest integer?\nAnswer: 28052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**3 + 24971 - 24960 + 6*r - 2*r**4 + 6*r**4 - 8*r as y*r**2 + x*r**4 + w*r**3 + c + s*r and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 73 = -6*u. Let o = -51 - -151. Let g be (-6)\/u - o\/(-45). Solve d + d - g = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2436 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*r = 4, 4*d + r - 10 = 4*r. Let m = d + 10. Let n = m - 1. What is the remainder when 19 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/3 - 2*z**3 + 5*z**2\/2 + 7*z. Let v(s) = s**2 - s. Let i(r) = h(r) - 3*v(r). What is i(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(1\/2). Suppose -j - 1 = -q. Solve -q*w = -2*s, 4*w - s - 12 = -0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.503 and -1.422.\nAnswer: -1.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -333*g**3 + g**2 - 2*g - 2. List the prime factors of u(-1).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144*r**2 + 33 with respect to r.\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1287)\/(-494) + -2 + (-2)\/4\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1)*(2 + ((-14)\/(-4))\/(-1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, g: 4}. Give prob of sequence gyy.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3 + 364*g**2 - 5916*g - 114444 = 0. What is g?\nAnswer: -11, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/4 + 1679*c**3\/4 + 234780*c**2 + 43668800*c - 43904000.\nAnswer: (c - 1)*(c + 560)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**2 + 1\/6*w**4 + 0*w**3 - 110*w - 2. Let y(h) be the third derivative of h**5\/12 + h**2. Calculate x(y(d)).\nAnswer: 50*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 681 - 706. Which is the third biggest value? (a) 0.05 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28c86 (base 13) to base 16.\nAnswer: -12c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 329 divided by 955\nAnswer: 329\/955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 377*d**2 + 53*d + 1397. Is c(-36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yua when three letters picked without replacement from eeqeuyeau?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1. Let o(v) = v. Let m(a) = o(a) + z(a). Let h be m(0). What is the third biggest value in -13, h, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 9186.\nAnswer: 2\/4593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1138 and 29483767.86.\nAnswer: 29484905.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4\/5 - 40834*b**3\/5 + 509774*b**2\/5 + 265096*b\/5 = 0. Calculate b.\nAnswer: -1\/2, 0, 13, 10196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**4\/4 - 39*u**3\/2 + 66*u**2 + 39*u\/2 - 261\/4 = 0.\nAnswer: -29, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 15. Let p be (-1 + u)\/((-12)\/16). Let o = 2 + 0. Sort -2, o, p in ascending order.\nAnswer: -2, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 5 - 0) + (1 - (9 + 13))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*i = -13*p + 79*i - 29, 3*p + 3*i = 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 - 327 - 4*k**2 - k + 2*k.\nAnswer: -15*k**2 + k - 327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(1\/24). Suppose -2*x - 5 = -z, 2*x - 2*z = -3*x - i. Let f(c) = -4*c**2 - 3*c - 3. Let w(s) = s**2 - s. Let m(k) = f(k) + w(k). Calculate m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3473588306 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*t + 50*t - x = -35*t + 10, t + 40 = -4*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -937129 and -937129 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30180, -120107, -270028, -479937, -749828, -1079695, -1469532, -1919333?\n\"Answer: v**3 - 30003*v**2 + 75*v - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 207\/16, 3\/5, -3.29, -1, -4, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516743401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19901437 is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*p + 24 = 90*p, 63 = 5*d - 10*d - 2*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1744720 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170391 is divided by 170385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -33.13. Let f = -0.07 - l. Let z = 0.3 + -0.8. Put z, f, 1 in descending order.\nAnswer: 1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.169 - 0.259. Suppose 3*j - 9 = 4*o, 3*o + 2*j - 4*j = -6. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9269041, 18538084, 27807139, 37076212, 46345309, 55614436?\nAnswer: 64883599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 + 6. Calculate x(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30\/4*((-60)\/75)\/(4\/4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = d - 476 + 457, 3*c = 2*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 66006*j - 726096. Give k(11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-18))\/7 + 11\/51\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/19 - 23052*g**2\/19 - 23050*g\/19.\nAnswer: -2*g*(g + 1)*(g + 11525)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 8*a**2 + 5*a + 2. Give g(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**26)\/c**21)\/(c**(5\/4)*c*c**9\/c))**(2\/41) assuming c is positive.\nAnswer: c**(-17\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -5*c**7\/42 - c**6\/3 + 5*c**5\/2 + 10*c**4\/3 - 55*c**3\/2 + 45*c**2 + 5*c + 1. Let z(y) = 0. What is y?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -374 at most 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 3*y**3 - 4*y**3 + (-y + 0*y + 0*y)*(2*y - 2*y + 35*y**2) + (0 - 1 + 0)*(y**3 - 3*y + 3*y) + (-2 + 2 + 2)*(-y**3 + 2*y**3 - 3*y**3).\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1034 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 4774558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26810789 - -26811196.09994. Let c = -407 + g. Let m = c - 0.1. What is m rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (483\/14)\/(2976\/(-1984)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 9*w - 5. Calculate the remainder when (57\/(-4))\/((-9)\/24) is divided by y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 103 = -5*f. Let a(r) = -61*r**2 - 6*r - 42. Let g be a(f). Let d = g - -3371. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14209 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10006792 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 1:29 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.797 - -1.001. What is z rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 98 = 109. Let y = a - 9. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*s**2*x**2 + 2*b**2*s**2*x + 156*b**2*x + 2348*b*s**2 + 1755*s**2*x**2 wrt x.\nAnswer: 2*b**2*s**2 + 3510*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(1\/3)\/j))\/j**(-5))\/(((j*j\/(j*j**(-2\/13))*j)\/j)\/(j*j*j**(2\/3))))\/((j*j**(-1\/12))\/j*j*j*j**1*(j**(1\/3)*j)**(1\/26)) assuming j is positive.\nAnswer: j**(271\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48911031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 7 + b + 3*b**4 - 8 + b**3 to the form w*b**2 + t*b**3 + v*b**4 + y + k*b and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 8. What is g(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/11 and 1\/1 + (-915906)\/938952?\nAnswer: 74844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*m + 7762, 24*m + 5*u + 9710 = 29*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10848, 20864, 30092, 38532, 46184, 53048?\n\"Answer: -394*f**2 + 11198*f + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 0*a. Let w(l) = 2*l**2 - 6*l + 1. Let h be w(4). Suppose 0 = 4*y - h*y - b - 9, -2*y = 3*b + 14. Which is bigger: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 11. Sort 5, l, -1 in ascending order.\nAnswer: -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20731*h**2 - 4145*h**2 - 3 - 4145*h**2 - 4144*h**2 - 4146*h**2 - 4145*h**2.\nAnswer: 6*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 5*d**2 - 2*d. Let w be m(-2). Let i(x) = -x - 17. Let o be i(w). Let g be (3\/o - 0) + 1. What is the closest to -2\/3 in g, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 - 0.09. Sort 0.2, -5, d in ascending order.\nAnswer: -5, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*g - 15 = 0, -5 = -k - 2*g + 1. Suppose -z = -k*z. Suppose z = 3*n + 1 - 7. Solve o = n - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1259 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 6:24 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.298, -2, -0.2 in increasing order.\nAnswer: -2, -0.298, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*a + x - 43, 5*a - x = 90. Let j(h) = -12*h - 6. Let i be j(-4). Let d = i - a. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10649384*c**5*d**3 + 6*c*d**3 - 4*c*d**2 - 14*c + 29*d wrt c.\nAnswer: -212987680*c**3*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 493, 1127, 2013?\nAnswer: 3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from zvhqvzvgzhvqg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -10, 25, 76, 149, 250, 385, 560?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28 and 0.432.\nAnswer: 28.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}